CN107218911A - Rock tunnel(ling) machine Cutting tool installation manner dimension measurement method - Google Patents
Rock tunnel(ling) machine Cutting tool installation manner dimension measurement method Download PDFInfo
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- CN107218911A CN107218911A CN201710612457.1A CN201710612457A CN107218911A CN 107218911 A CN107218911 A CN 107218911A CN 201710612457 A CN201710612457 A CN 201710612457A CN 107218911 A CN107218911 A CN 107218911A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
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Abstract
The invention discloses a kind of rock tunnel(ling) machine Cutting tool installation manner dimension measurement method, comprise the following steps：S1, the first reflector plate is installed on cutter head panel, the central point for defining first reflector plate is simultaneously designated as M, and the central point O of the cutter head panel and the central point M of first reflector plate D coordinates value are gone out using total station survey；S2, the second reflector plate is installed on the anchor point of cutter to be measured, the central point for defining second reflector plate is simultaneously designated as A, and the central point A of second reflector plate D coordinates value is gone out using the total station survey；S3, application space analytic geometry method are combined calculating to the central point M of first reflector plate, the central point O of the cutter head panel and second reflector plate central point A D coordinates value, draw the installation dimension data of cutter to be measured.This this method is applicable to the cutting tools measurement under different installations or use state, and measurement result precision is high, can improve measurement efficiency, reduces measurement cost.
Description
Technical field
The present invention relates to boring machine cutter field of measuring technique, more particularly to a kind of rock tunnel(ling) machine Cutting tool installation manner size
Measuring method.
Background technology
In the project under construction such as Chuan Shan highways, subway, it is widely applied rock tunnel(ling) machine and carries out road construction.Tunnel
Various broken rock cutters are installed on development machine cutterhead, mainly include disk cutter and various fixed cutting knifes, can various cutters
Carry out being accurately positioned installation relation to the service behaviour of development machine by design attitude, thus be particularly important.How to examine each
Plant whether cutter carries out accurate installation positioning according to the sized data of design drawing, be that knife disc tool exfactory inspection process faces
Major issue.
At present, the method for inspection more commonly used is measured using the template scale of custom-made.Its measuring principle is big
Cause be：Cutter profile groove and size scale are carved in template according to the design and installation position of each cutter, afterwards by template
Support is fixed on cutter head center, and template can rotate around cutter head center, by the way that plate groove and size scale is corresponding with cutterhead
Gap between the profile of cutter is contrasted to measure the installation location dimension error of each cutter.
The advantage of this method is that directly perceived, measurement result is very clear, but it has the drawback that needs according to different knives
Tool arrangement targetedly processes dedicated templates scale, causes measurement cost to increase, and substantial amounts of template scale is unfavorable for depositing
Put management；In addition, the traditional measurement method is usually to carry out using during the installation of cutter positioning in factory, i.e., cutterhead and shield body be not
(cutterhead horizontal positioned) stage uses before being assembled, and installation measurement error is larger, and for shield machine user, in knife
Disk is difficult to detect Cutting tool installation manner size using this method, checked and accepted after installing, thus its versatility is not high.
The content of the invention
Based on this, the present invention is necessary to provide a kind of rock tunnel(ling) machine Cutting tool installation manner dimension measurement method, it is possible to increase right
The installation location dimension of driving cutter is accurately measured, and measurement result precision is high, and its versatility is good, and measurement cost is low.
Its technical scheme is as follows：
A kind of rock tunnel(ling) machine Cutting tool installation manner dimension measurement method, comprises the following steps：
S1, the first reflector plate is installed on cutter head panel, the central point for defining first reflector plate is M, measures institute
State the central point O of cutter head panel and the central point M of first reflector plate D coordinates value；
S2, the second reflector plate is installed on the anchor point of cutter to be measured, the central point for defining second reflector plate is A,
Measure the central point A of second reflector plate D coordinates value；
S3, application space analytic geometry method are to the central point M of first reflector plate, the central point of the cutter head panel
The central point A of O and second reflector plate D coordinates value is combined calculating, draws the installation dimension number of cutter to be measured
According to.
Above-mentioned rock tunnel(ling) machine Cutting tool installation manner dimension measurement method installs the first reflector plate on cutter head panel first, afterwards
The central point O of cutter head panel and the central point M of the first reflector plate D coordinates value are drawn by total station survey, is existed again afterwards
Second reflector plate is installed on the anchor point of cutter to be measured, and drawn using total station survey the second reflector plate central point A three
Dimensional coordinate values, last application space analytic geometry method is combined calculating to the coordinate value of three central points, so as to
Go out the installation dimension data of cutter to be measured.In this way, not only can be from that for different cutter making dedicated templates scales, can drop significantly
Low measurement cost, while the measuring method is applicable to the cutting tools measurement under different installations or use state, thus its versatility
It is good, and its measurement accuracy is good, test result precision is high, and the regulation for driving Cutting tool installation manner size provides safeguard with correction.
The technical scheme to the application is further described below：
In one of the embodiments, in the central point O D coordinates value that the cutter head panel is measured in step S1, with
Every 120 degree are rotational angle rotary head three times, and anti-with described first after total station survey cutterhead every time 120 degree of rotation
Penetrate the three-dimensional coordinate of the central point of piece and be designated as M1 (x respectivelym1, ym1, zm1)、M2(xm2, ym2, zm2)、M3(xm3, ym3, zm3), by point
M1、M2And M3A circumscribed circle is determined, then the center of circle of the circumscribed circle is the central point O of the cutter head panel.
In one of the embodiments, the analytic geometry calculating side of the central point O of cutter head panel D coordinates value
Method is：The coordinate for defining the central point O of the cutter head panel is (xo, yo, zo), the radius of the circumscribed circle is Rm, by M1、M2、
M3Three point coordinates determine plane equation：
Above formula expansion conversion is obtained：
A1x+B1y+C1z+D1=0 (2)
Wherein：
A1=ym1zm2-ym1zm3-zm1ym2+ym3zm1+ym2zm3-ym3zm2
B1=-xm1zm2+xm1zm3+xm2zm1-xm3zm1-xm2zm3+xm3zm2
C1=xm1ym2-xm1ym3-xm2ym1+xm3ym1+xm2ym3-xm3ym2
D1=-xm1ym2zm3+xm1ym3zm2+xm2ym1zm3-xm3ym1zm2-xm2ym3zm1+xm3ym2zm1
By central coordinate of circle (xo, yo, zo) substitution formula (2)：
A1xo+B1yo+C1zo+D1=0 (3)
Obtained according to the distance of center of circle O points to M three diverse locations of point is all equal：
Obtained by (5)-(4)：
Remember A2=2 (xm2-xm1)；B2=2 (ym2-ym1)；C2=2 (zm2-zm1)；
Then above formula is reduced to：
A2xo+B2yo+C2zo+D2=0 (7)
Obtained by (6)-(4)：
Remember A3=2 (xm3-xm1)；B3=2 (ym3-ym1)；C3=2 (zm3-zm1)；
Then above formula is reduced to：
A3xo+B3yo+C3zo+D3=0 (8)
Formula (3), formula (7), formula (8) constitute one on (xo, yo, zo) ternary once linear equation group, use matrix form
It is expressed as：
The central point O three-dimensional coordinate (x of the cutter head panel can be tried to achieve by solving this equation groupo, yo, zo)：
Central coordinate of circle obtained by above formula is substituted into formula (4) can obtain radius of circle：
The Plane Equation (2) of cutter head panel and the central point O of cutter head panel three-dimensional coordinate (x have been obtained aboveo, yo,
zo), and cutterhead rotation axis was exactly the plane normal of cutterhead rotary middle point, therefore the linear equation of cutterhead rotary shaft is：
In one of the embodiments, the installation dimension data of step S3 calculating cutter to be measured include calculating cutter to be measured
Installation radius Ra, set the anchor point A three-dimensional coordinate of cutter to be measured as (xa, ya, za), then the point is to the cutter head panel
Pivot axle vertical range be cutter to be measured installation radius Ra, installation radius Ra calculation formula is：
In one of the embodiments, step S3 is calculated also includes calculating knife to be measured in the installation dimension data of cutter to be measured
The setting height(from bottom) H of toola, wherein, the vertical range of anchor point A to the cutter head panel of cutter to be measured is the peace of cutter to be measured
Fill height Ha, obtained according to point in space to the range formula of plane：
In one of the embodiments, step S3 is calculated also includes calculating knife to be measured in the installation dimension data of cutter to be measured
The azimuth angle theta of toola, when setting cutter head panel turns to angle, θ, measure the anchor point A's of the cutter to be measured by total powerstation
Three-dimensional coordinate is (xa, ya, za), the central point M of first reflector plate three-dimensional coordinate is (xm, ym, zm)；Remember the knife to be measured
Central axis direction subpoints on cutter head panel of the anchor point A of tool along the cutter head panel is A ＇, the cutter head panel
The direction vector of rotation axis is (A1, B1, C1), the vertical range of anchor point A to the cutter head panel of the cutter to be measured is
Ha, then the three-dimensional coordinate that can obtain A ＇ points according to the straight line equation (12) of cutterhead rotating shaft is (xa+HaA1, ya+HaB1, za+
HaC1)；
It is X-axis by O points and M points wire definition, then X-direction vector is (xo-xm, yo-ym, zo-zm), O points connect with A ＇ points
The direction vector of line is (xa-xo+HaA1, ya-yo+HaB1, za-zo+HaC1), remember xa＇=xa-xo+HaA1；ya＇=ya-yo+HaB1；
za＇=za-zo+HaC1, then the angle between straight line OA ＇ and X-axis is cutter A azimuth angle thetaa, according to two straight lines in space
Angle formulae obtain：
In one of the embodiments, also include step definition measurement coordinate system in step S1, that is, define the cutterhead face
The Pivot axle of plate is Z axis and is just along tunneling direction；Define central point O and the described first reflection of the cutter head panel
The central point M of piece line is X-axis and is just along the center outwardly direction of the cutter head panel；Define the cutter head panel
The central point O vertical lines vertical with X-axis be Y-axis and be just along the center outwardly direction of the cutter head panel.
Brief description of the drawings
Fig. 1 is the step flow chart of the rock tunnel(ling) machine Cutting tool installation manner dimension measurement method described in the embodiment of the present invention.
Embodiment
For the objects, technical solutions and advantages of the present invention are more clearly understood, below in conjunction with accompanying drawing and specific embodiment party
Formula, the present invention is described in further detail.It should be appreciated that embodiment described herein is only to solve
The present invention is released, protection scope of the present invention is not limited.
It should be noted that when element is referred to as " being fixedly arranged on ", " being arranged at " or " install in " another element, it can be with
Directly on another element or there can also be an element placed in the middle.When an element is considered as " connection " another yuan
Part, it can be directly to another element or may be simultaneously present centering elements；One element and another element
The concrete mode being fixedly connected can be achieved by the prior art, and will not be repeated here, it is preferred to use the fixation side of threaded connection
Formula.
Unless otherwise defined, all of technologies and scientific terms used here by the article is with belonging to technical field of the invention
The implication that technical staff is generally understood that is identical.Term used in the description of the invention herein is intended merely to description tool
The purpose of the embodiment of body, it is not intended that in the limitation present invention.Term as used herein " and/or " including one or more
The arbitrary and all combination of related Listed Items.
Heretofore described " first ", " second " do not represent specific quantity and order, are only used for the differentiation of title.
As shown in figure 1, a kind of rock tunnel(ling) machine Cutting tool installation manner dimension measurement method of the embodiment shown for the present invention, bag
Include following steps：
S1, the first reflector plate is installed on cutter head panel, the central point for defining first reflector plate is M, uses whole station
Instrument measures the central point O of the cutter head panel and the central point M of first reflector plate D coordinates value；
S2, the second reflector plate is installed on the anchor point of cutter to be measured, the central point for defining second reflector plate is A,
Go out the central point A of second reflector plate D coordinates value using the total station survey；
S3, application space analytic geometry method are to the central point M of first reflector plate, the central point of the cutter head panel
The central point A of O and second reflector plate D coordinates value is combined calculating, draws the installation dimension number of cutter to be measured
According to.
Above-mentioned rock tunnel(ling) machine Cutting tool installation manner dimension measurement method installs the first reflector plate on cutter head panel first, afterwards
The central point O of cutter head panel and the central point M of the first reflector plate D coordinates value are drawn by total station survey, is existed again afterwards
Second reflector plate is installed on the anchor point of cutter to be measured, and drawn using total station survey the second reflector plate central point A three
Dimensional coordinate values, last application space analytic geometry method is combined calculating to the coordinate value of three central points, so as to
Go out the installation dimension data of cutter to be measured.In this way, not only can be from that for different cutter making dedicated templates scales, can drop significantly
Low measurement cost, while the measuring method is applicable to the cutting tools measurement under different installations or use state, thus its versatility
It is good, and its measurement accuracy is good, test result precision is high, and the regulation for driving Cutting tool installation manner size provides safeguard with correction.
It should be noted that the anchor point of cutter to be measured is specially that boring machine cutter is arranged into track in the above-described embodiments
The corresponding reference point in installation location dimension boundary line of various cutters in figure, and the anchor point of various cutters is generally located in pair of blade
Claim in point or characteristic point.In addition, the installation location dimension of cutter generally comprises installation radius, setting height(from bottom), azimuth and knife
Has angle of heel etc.；Wherein, Cutting tool installation manner radius：During cutter positioning point (hobboing cutter point of a knife or cutting type blade midpoint) rotates away from cutterhead
The vertical range (mm) of heart axle；Cutting tool installation manner height：Vertical range (mm) of the cutter positioning point away from cutter head panel；Tool orientation
Angle：Cutter positioning point and cutter head center line and the angle of X-axis；Using X-direction as 0 °, counterclockwise for just；Cutter is rolled
Angle：Cutter itself symmetry axis and the angle of cutterhead center of rotation axis.Further, above-mentioned first reflector plate and the second reflector plate
Optional is transparent plastic sheet, and plastic sheet is marked provided with "+", and the mark positioning action that total station survey easy to use makes has
Convenience and accuracy are measured beneficial to improving.Also, also include step definition measurement coordinate system in step S1, that is, define the knife
The Pivot axle of card plate is Z axis and is just along tunneling direction；Define the central point O and described first of the cutter head panel
The central point M of reflector plate line is X-axis and is just along the center outwardly direction of the cutter head panel；Define the cutterhead
Vertical line vertical with X-axis the central point O of panel is Y-axis and is just along the center outwardly direction of the cutter head panel.Such energy
Enough coordinate-systems that science is provided measuring method and system, so as to be carried for the follow-up coordinate value measurement work for carrying out a central point
The guarantee of confession.
In addition, being rotation with every 120 degree in the central point O of step S1 measurements cutter head panel D coordinates value
Angle rotary head three times, and with total station survey cutterhead every time rotate 120 degree after first reflector plate central point
Three-dimensional coordinate and be designated as M1 (x respectivelym1, ym1, zm1)、M2(xm2, ym2, zm2)、M3(xm3, ym3, zm3), by point M1、M2And M3It is determined that
One circumscribed circle, then the center of circle of the circumscribed circle is the central point O of the cutter head panel.Wherein, obtained using multiple metering system
To the D coordinates value of multiple first reflector plates, and then the central point O of cutter head panel is obtained by the circumscribed circle of formation, so had
Power improves central point O positioning precision, and then ensures follow-up measurement accuracy.Certainly, the size of above-mentioned rotational angle can be with
Fluctuated on the basis of 120 degree, such as 118 degree or 122 degree, or in other embodiments or other rotate
Angular dimension, also all in the protection domain of the application.
Further, the analytic geometry computational methods of the central point O of cutter head panel D coordinates value are：Definition institute
The coordinate for stating the central point O of cutter head panel is (xo, yo, zo), the radius of the circumscribed circle is Rm, by M1、M2、M3Three point coordinates are true
Determine plane equation：
Above formula expansion conversion is obtained：
A1x+B1y+C1z+D1=0 (2)
Wherein：
A1=ym1zm2-ym1zm3-zm1ym2+ym3zm1+ym2zm3-ym3zm2
B1=-xm1zm2+xm1zm3+xm2zm1-xm3zm1-xm2zm3+xm3zm2
C1=xm1ym2-xm1ym3-xm2ym1+xm3ym1+xm2ym3-xm3ym2
D1=-xm1ym2zm3+xm1ym3zm2+xm2ym1zm3-xm3ym1zm2-xm2ym3zm1+xm3ym2zm1
By central coordinate of circle (xo, yo, zo) substitution formula (2)：
A1xo+B1yo+C1zo+D1=0 (3)
Obtained according to the distance of center of circle O points to M three diverse locations of point is all equal：
Obtained by (5)-(4)：
Remember A2=2 (xm2-xm1)；B2=2 (ym2-ym1)；C2=2 (zm2-zm1)；
Then above formula is reduced to：
A2xo+B2yo+C2zo+D2=0 (7)
Obtained by (6)-(4)：
Remember A3=2 (xm3-xm1)；B3=2 (ym3-ym1)；C3=2 (zm3-zm1)；
Then above formula is reduced to：
A3xo+B3yo+C3zo+D3=0 (8)
Formula (3), formula (7), formula (8) constitute one on (xo, yo, zo) ternary once linear equation group, use matrix form
It is expressed as：
The central point O three-dimensional coordinate (x of the cutter head panel can be tried to achieve by solving this equation groupo, yo, zo)：
Central coordinate of circle obtained by above formula is substituted into formula (4) can obtain radius of circle：
The Plane Equation (2) of cutter head panel and the central point O of cutter head panel three-dimensional coordinate (x have been obtained aboveo, yo,
zo), and cutterhead rotation axis was exactly the plane normal of cutterhead rotary middle point, therefore the linear equation of cutterhead rotary shaft is：
The central point O of cutter head panel coordinate value, and this method application letter can be accurately calculated by above-mentioned calculation procedure
Single, versatility is good.
On the basis of any of the above-described embodiment, the installation dimension data of step S3 calculating cutter to be measured include calculating and treated
The installation radius Ra of cutter is surveyed, the anchor point A three-dimensional coordinate of cutter to be measured is set as (xa, ya, za), then the point is to the knife
The vertical range of the Pivot axle of card plate is the installation radius Ra of cutter to be measured, installation radius Ra calculation formula
For：
So can be fast and accurately calculate installation radius of the cutter to be measured on cutterhead, and test result precision
Height, while this method can not be limited by tool type, installment state, versatility is good.
In addition, step S3 calculates the setting height(from bottom) for also including calculating cutter to be measured in the installation dimension data of cutter to be measured
Ha, wherein, the vertical range of anchor point A to the cutter head panel of cutter to be measured is the setting height(from bottom) H of cutter to be measureda, according to
Point is obtained to the range formula of plane in space：
So can be fast and accurately calculate setting height(from bottom) of the cutter to be measured on cutterhead, and test result precision
Height, while this method can not be limited by tool type, Cutting tool installation manner or use state, versatility is good.
In further measuring process, step S3 is calculated also to be included calculating to be measured in the installation dimension data of cutter to be measured
The azimuth angle theta of cuttera, when setting cutter head panel turns to angle, θ, the anchor point A of the cutter to be measured is measured by total powerstation
Three-dimensional coordinate be (xa, ya, za), the central point M of first reflector plate three-dimensional coordinate is (xm, ym, zm)；Remember described to be measured
Central axis direction subpoints on cutter head panel of the anchor point A of cutter along the cutter head panel is A ＇, the cutter head panel
Rotation axis direction vector be (A1, B1, C1), the anchor point A of the cutter to be measured to cutter head panel vertical range
For Ha, then the three-dimensional coordinate that can obtain A ＇ points according to the straight line equation (12) of cutterhead rotating shaft is (xa+HaA1, ya+HaB1, za+
HaC1)；
It is X-axis by O points and M points wire definition, then X-direction vector is (xo-xm, yo-ym, zo-zm), O points connect with A ＇ points
The direction vector of line is (xa-xo+HaA1, ya-yo+HaB1, za-zo+HaC1), remember xa＇=xa-xo+HaA1；ya＇=ya-yo+HaB1；
za＇=za-zo+HaC1, then the angle between straight line OA ＇ and X-axis is cutter A azimuth angle thetaa, according to two straight lines in space
Angle formulae obtain：
By the above method and formula can be fast and accurately calculate azimuth of the cutter to be measured on cutterhead, and test
As a result precision is high, while this method can not be limited by tool type, Cutting tool installation manner or use state, versatility is good.
Each technical characteristic of embodiment described above can be combined arbitrarily, to make description succinct, not to above-mentioned reality
Apply all possible combination of each technical characteristic in example to be all described, as long as however, the combination of these technical characteristics is not deposited
In contradiction, the scope of this specification record is all considered to be.
Embodiment described above only expresses the several embodiments of the present invention, and it describes more specific and detailed, but simultaneously
Can not therefore it be construed as limiting the scope of the patent.It should be pointed out that coming for one of ordinary skill in the art
Say, without departing from the inventive concept of the premise, various modifications and improvements can be made, these belong to the protection of the present invention
Scope.Therefore, the protection domain of patent of the present invention should be determined by the appended claims.
Claims (7)
1. a kind of rock tunnel(ling) machine Cutting tool installation manner dimension measurement method, it is characterised in that comprise the following steps：
S1, the first reflector plate is installed on cutter head panel, the central point for defining first reflector plate is M, measures the knife
The central point M of the central point O of card plate and first reflector plate D coordinates value；
S2, the second reflector plate is installed on the anchor point of cutter to be measured, the central point for defining second reflector plate is A, measurement
Go out the central point A of second reflector plate D coordinates value；
S3, application space analytic geometry method to the central point M of first reflector plate, the central point O of the cutter head panel with
And the central point A of second reflector plate D coordinates value is combined calculating, the installation dimension data of cutter to be measured are drawn.
2. rock tunnel(ling) machine Cutting tool installation manner dimension measurement method according to claim 1, it is characterised in that surveyed in step S1
In the central point O D coordinates value for measuring the cutter head panel, it is rotational angle rotary head three times with every 120 degree, and with entirely
Instrument of standing measurement cutterhead rotates the three-dimensional coordinate of the central point of first reflector plate after 120 degree and is designated as M1 respectively every time
(xm1, ym1, zm1)、M2(xm2, ym2, zm2)、M3(xm3, ym3, zm3), by point M1、M2And M3A circumscribed circle is determined, then the circumscribed circle
The center of circle be the cutter head panel central point O.
3. rock tunnel(ling) machine Cutting tool installation manner dimension measurement method according to claim 2, it is characterised in that the cutterhead face
The analytic geometry computational methods of the central point O of plate D coordinates value are：The coordinate for defining the central point O of the cutter head panel is
(xo, yo, zo), the radius of the circumscribed circle is Rm, by M1、M2、M3Three point coordinates determine plane equation：
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Above formula expansion conversion is obtained：
A1x+B1y+C1z+D1=0 (2)
Wherein：
A1=ym1zm2-ym1zm3-zm1ym2+ym3zm1+ym2zm3-ym3zm2
B1=-xm1zm2+xm1zm3+xm2zm1-xm3zm1-xm2zm3+xm3zm2
C1=xm1ym2-xm1ym3-xm2ym1+xm3ym1+xm2ym3-xm3ym2
D1=-xm1ym2zm3+xm1ym3zm2+xm2ym1zm3-xm3ym1zm2-xm2ym3zm1+xm3ym2zm1
By central coordinate of circle (xo, yo, zo) substitution formula (2)：
A1xo+B1yo+C1zo+D1=0 (3)
Obtained according to the distance of center of circle O points to M three diverse locations of point is all equal：
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<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>x</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>y</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>z</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>=</mo>
<msup>
<msub>
<mi>R</mi>
<mi>m</mi>
</msub>
<mn>2</mn>
</msup>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>4</mn>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>x</mi>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>x</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>y</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>z</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>=</mo>
<msup>
<msub>
<mi>R</mi>
<mi>m</mi>
</msub>
<mn>2</mn>
</msup>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>5</mn>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>x</mi>
<mrow>
<mi>m</mi>
<mn>3</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>x</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>3</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>y</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>3</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>z</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>=</mo>
<msup>
<msub>
<mi>R</mi>
<mi>m</mi>
</msub>
<mn>2</mn>
</msup>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>6</mn>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
Obtained by (5)-(4)：
<mrow>
<mn>2</mn>
<mrow>
<mo>(</mo>
<msub>
<mi>x</mi>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>x</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<msub>
<mi>x</mi>
<mi>o</mi>
</msub>
<mo>+</mo>
<mn>2</mn>
<mrow>
<mo>(</mo>
<msub>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<msub>
<mi>y</mi>
<mi>o</mi>
</msub>
<mo>+</mo>
<mn>2</mn>
<mrow>
<mo>(</mo>
<msub>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<msub>
<mi>z</mi>
<mi>o</mi>
</msub>
<mo>+</mo>
<msubsup>
<mi>x</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>+</mo>
<msubsup>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>+</mo>
<msubsup>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>-</mo>
<msubsup>
<mi>x</mi>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>-</mo>
<msubsup>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>-</mo>
<msubsup>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>2</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>=</mo>
<mn>0</mn>
</mrow>
Remember A2=2 (xm2-xm1)；B2=2 (ym2-ym1)；C2=2 (zm2-zm1)；
Then above formula is reduced to：
A2xo+B2yo+C2zo+D2=0 (7)
Obtained by (6)-(4)：
<mrow>
<mn>2</mn>
<mrow>
<mo>(</mo>
<msub>
<mi>x</mi>
<mrow>
<mi>m</mi>
<mn>3</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>x</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<msub>
<mi>x</mi>
<mi>o</mi>
</msub>
<mo>+</mo>
<mn>2</mn>
<mrow>
<mo>(</mo>
<msub>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>3</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<msub>
<mi>y</mi>
<mi>o</mi>
</msub>
<mo>+</mo>
<mn>2</mn>
<mrow>
<mo>(</mo>
<msub>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>3</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<msub>
<mi>z</mi>
<mi>o</mi>
</msub>
<mo>+</mo>
<msubsup>
<mi>x</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>+</mo>
<msubsup>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>+</mo>
<msubsup>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>-</mo>
<msubsup>
<mi>x</mi>
<mrow>
<mi>m</mi>
<mn>3</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>-</mo>
<msubsup>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>3</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>-</mo>
<msubsup>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>3</mn>
</mrow>
<mn>2</mn>
</msubsup>
<mo>=</mo>
<mn>0</mn>
</mrow>
Remember A3=2 (xm3-xm1)；B3=2 (ym3-ym1)；C3=2 (zm3-zm1)；
Then above formula is reduced to：
A3xo+B3yo+C3zo+D3=0 (8)
One is constituted on (x by formula (3), formula (7), formula (8)o, yo, zo) ternary once linear equation group, use matrix form table
It is shown as：
<mrow>
<mfenced open = "[" close = "]">
<mtable>
<mtr>
<mtd>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>B</mi>
<mn>1</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>C</mi>
<mn>1</mn>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>A</mi>
<mn>2</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>B</mi>
<mn>2</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>C</mi>
<mn>2</mn>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>A</mi>
<mn>3</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>B</mi>
<mn>3</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>C</mi>
<mn>3</mn>
</msub>
</mtd>
</mtr>
</mtable>
</mfenced>
<mfenced open = "[" close = "]">
<mtable>
<mtr>
<mtd>
<msub>
<mi>x</mi>
<mi>o</mi>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>y</mi>
<mi>o</mi>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>z</mi>
<mi>o</mi>
</msub>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>+</mo>
<mfenced open = "[" close = "]">
<mtable>
<mtr>
<mtd>
<msub>
<mi>D</mi>
<mn>1</mn>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>D</mi>
<mn>2</mn>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>D</mi>
<mn>3</mn>
</msub>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>=</mo>
<mn>0</mn>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>9</mn>
<mo>)</mo>
</mrow>
</mrow>
The central point O three-dimensional coordinate (x of the cutter head panel can be tried to achieve by solving this equation groupo, yo, zo)：
<mrow>
<mfenced open = "[" close = "]">
<mtable>
<mtr>
<mtd>
<msub>
<mi>x</mi>
<mi>o</mi>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>y</mi>
<mi>o</mi>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>z</mi>
<mi>o</mi>
</msub>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>=</mo>
<mo>-</mo>
<msup>
<mfenced open = "[" close = "]">
<mtable>
<mtr>
<mtd>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>B</mi>
<mn>1</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>C</mi>
<mn>1</mn>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>A</mi>
<mn>2</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>B</mi>
<mn>2</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>C</mi>
<mn>2</mn>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>A</mi>
<mn>3</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>B</mi>
<mn>3</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>C</mi>
<mn>3</mn>
</msub>
</mtd>
</mtr>
</mtable>
</mfenced>
<mrow>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msup>
<mfenced open = "[" close = "]">
<mtable>
<mtr>
<mtd>
<msub>
<mi>D</mi>
<mn>1</mn>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>D</mi>
<mn>2</mn>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>D</mi>
<mn>3</mn>
</msub>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>10</mn>
<mo>)</mo>
</mrow>
</mrow>
Central coordinate of circle obtained by above formula is substituted into formula (4) can obtain radius of circle：
<mrow>
<msub>
<mi>R</mi>
<mi>m</mi>
</msub>
<mo>=</mo>
<msqrt>
<mrow>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>x</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>x</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>y</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>y</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>z</mi>
<mrow>
<mi>m</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>-</mo>
<msub>
<mi>z</mi>
<mi>o</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</msqrt>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>11</mn>
<mo>)</mo>
</mrow>
</mrow>
The Plane Equation (2) of cutter head panel and the central point O of cutter head panel three-dimensional coordinate (x have been obtained aboveo, yo, zo),
And cutterhead rotation axis was exactly the plane normal of cutterhead rotary middle point, therefore the linear equation of cutterhead rotary shaft is：
<mrow>
<mfrac>
<mrow>
<mi>x</mi>
<mo>-</mo>
<msub>
<mi>x</mi>
<mi>o</mi>
</msub>
</mrow>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
</mfrac>
<mo>=</mo>
<mfrac>
<mrow>
<mi>y</mi>
<mo>-</mo>
<msub>
<mi>y</mi>
<mi>o</mi>
</msub>
</mrow>
<msub>
<mi>B</mi>
<mn>1</mn>
</msub>
</mfrac>
<mo>=</mo>
<mfrac>
<mrow>
<mi>z</mi>
<mo>-</mo>
<msub>
<mi>z</mi>
<mi>o</mi>
</msub>
</mrow>
<msub>
<mi>C</mi>
<mn>1</mn>
</msub>
</mfrac>
<mo>.</mo>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>12</mn>
<mo>)</mo>
</mrow>
</mrow>
4. rock tunnel(ling) machine Cutting tool installation manner dimension measurement method according to claim 3, it is characterised in that step S3 is calculated
The installation dimension data of cutter to be measured include calculating the installation radius Ra of cutter to be measured, set the anchor point A's of cutter to be measured
Three-dimensional coordinate is (xa, ya, za), then the point to the vertical range of the Pivot axle of the cutter head panel be cutter to be measured
Radius Ra is installed, installation radius Ra calculation formula is：
<mrow>
<mi>R</mi>
<mi>a</mi>
<mo>=</mo>
<mfrac>
<msqrt>
<mrow>
<mo>|</mo>
<mfrac>
<mrow>
<msub>
<mi>y</mi>
<mi>a</mi>
</msub>
<mo>-</mo>
<msub>
<mi>y</mi>
<mn>0</mn>
</msub>
</mrow>
<msub>
<mi>B</mi>
<mn>1</mn>
</msub>
</mfrac>
<mo>-</mo>
<mfrac>
<mrow>
<msub>
<mi>z</mi>
<mi>a</mi>
</msub>
<mo>-</mo>
<msub>
<mi>z</mi>
<mn>0</mn>
</msub>
</mrow>
<msub>
<mi>C</mi>
<mn>1</mn>
</msub>
</mfrac>
<msup>
<mo>|</mo>
<mn>2</mn>
</msup>
<mo>+</mo>
<mo>|</mo>
<mfrac>
<mrow>
<msub>
<mi>z</mi>
<mi>a</mi>
</msub>
<mo>-</mo>
<msub>
<mi>z</mi>
<mn>0</mn>
</msub>
</mrow>
<msub>
<mi>C</mi>
<mn>1</mn>
</msub>
</mfrac>
<mo>-</mo>
<mfrac>
<mrow>
<msub>
<mi>x</mi>
<mi>a</mi>
</msub>
<mo>-</mo>
<msub>
<mi>x</mi>
<mn>0</mn>
</msub>
</mrow>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
</mfrac>
<msup>
<mo>|</mo>
<mn>2</mn>
</msup>
<mo>+</mo>
<mo>|</mo>
<mfrac>
<mrow>
<msub>
<mi>x</mi>
<mi>a</mi>
</msub>
<mo>-</mo>
<msub>
<mi>x</mi>
<mn>0</mn>
</msub>
</mrow>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
</mfrac>
<mo>-</mo>
<mfrac>
<mrow>
<msub>
<mi>y</mi>
<mi>a</mi>
</msub>
<mo>-</mo>
<msub>
<mi>y</mi>
<mn>0</mn>
</msub>
</mrow>
<msub>
<mi>B</mi>
<mn>1</mn>
</msub>
</mfrac>
<msup>
<mo>|</mo>
<mn>2</mn>
</msup>
</mrow>
</msqrt>
<msqrt>
<mrow>
<msubsup>
<mi>A</mi>
<mn>1</mn>
<mn>2</mn>
</msubsup>
<mo>+</mo>
<msubsup>
<mi>B</mi>
<mn>1</mn>
<mn>2</mn>
</msubsup>
<mo>+</mo>
<msubsup>
<mi>C</mi>
<mn>1</mn>
<mn>2</mn>
</msubsup>
</mrow>
</msqrt>
</mfrac>
<mo>.</mo>
</mrow>
5. rock tunnel(ling) machine Cutting tool installation manner dimension measurement method according to claim 1, it is characterised in that step S3 is calculated
Also include the setting height(from bottom) H for calculating cutter to be measured in the installation dimension data of cutter to be measureda, wherein, the anchor point A of cutter to be measured
To the cutter head panel vertical range be cutter to be measured setting height(from bottom) Ha, according to range formula of the point to plane in space
：
<mrow>
<msub>
<mi>H</mi>
<mi>a</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<mo>|</mo>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
<msub>
<mi>x</mi>
<mi>a</mi>
</msub>
<mo>+</mo>
<msub>
<mi>B</mi>
<mn>1</mn>
</msub>
<msub>
<mi>y</mi>
<mi>a</mi>
</msub>
<mo>+</mo>
<msub>
<mi>C</mi>
<mn>1</mn>
</msub>
<msub>
<mi>z</mi>
<mi>a</mi>
</msub>
<mo>+</mo>
<msub>
<mi>D</mi>
<mn>1</mn>
</msub>
<mo>|</mo>
</mrow>
<msqrt>
<mrow>
<msup>
<msub>
<mi>A</mi>
<mn>1</mn>
</msub>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<msub>
<mi>B</mi>
<mn>1</mn>
</msub>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<msub>
<mi>C</mi>
<mn>1</mn>
</msub>
<mn>2</mn>
</msup>
</mrow>
</msqrt>
</mfrac>
<mo>.</mo>
</mrow>
6. rock tunnel(ling) machine Cutting tool installation manner dimension measurement method according to claim 5, it is characterised in that step S3 is calculated
Also include the azimuth angle theta for calculating cutter to be measured in the installation dimension data of cutter to be measureda, set cutter head panel and turn to angle, θ
When, the three-dimensional coordinate that the anchor point A of the cutter to be measured is measured by total powerstation is (xa, ya, za), first reflector plate
Central point M three-dimensional coordinate is (xm, ym, zm)；Remember central shaft sides of the anchor point A of the cutter to be measured along the cutter head panel
It is A ＇ to the subpoint on cutter head panel, the direction vector of the rotation axis of the cutter head panel is (A1, B1, C1), it is described to treat
The vertical range for surveying anchor point A to the cutter head panel of cutter is Ha, then can according to the straight line equation (12) of cutterhead rotating shaft
The three-dimensional coordinate for obtaining A ＇ points is (xa+HaA1, ya+HaB1, za+HaC1)；
It is X-axis by O points and M points wire definition, then X-direction vector is (xo-xm, yo-ym, zo-zm), O points and A ＇ point lines
Direction vector is (xa-xo+HaA1, ya-yo+HaB1, za-zo+HaC1), remember xa＇=xa-xo+HaA1；ya＇=ya-yo+HaB1；za＇=
za-zo+HaC1, then the angle between straight line OA ＇ and X-axis is cutter A azimuth angle thetaa, according to the angle of two straight lines in space
Formula is obtained：
<mrow>
<msub>
<mi>&theta;</mi>
<mi>a</mi>
</msub>
<mo>=</mo>
<mi>a</mi>
<mi>r</mi>
<mi>c</mi>
<mi>c</mi>
<mi>o</mi>
<mi>s</mi>
<mrow>
<mo>(</mo>
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<mrow>
<mo>(</mo>
<msub>
<mi>x</mi>
<mi>o</mi>
</msub>
<mo>-</mo>
<msub>
<mi>x</mi>
<mi>m</mi>
</msub>
<mo>)</mo>
<mo>&CenterDot;</mo>
<msub>
<mi>x</mi>
<msup>
<mi>a</mi>
<mo>&prime;</mo>
</msup>
</msub>
<mo>+</mo>
<mo>(</mo>
<msub>
<mi>y</mi>
<mi>o</mi>
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<mo>-</mo>
<msub>
<mi>y</mi>
<mi>m</mi>
</msub>
<mo>)</mo>
<mo>&CenterDot;</mo>
<msub>
<mi>y</mi>
<msup>
<mi>a</mi>
<mo>&prime;</mo>
</msup>
</msub>
<mo>+</mo>
<mo>(</mo>
<msub>
<mi>z</mi>
<mi>o</mi>
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<mi>z</mi>
<mi>m</mi>
</msub>
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<msub>
<mi>z</mi>
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<mo>(</mo>
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<mi>o</mi>
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<mi>x</mi>
<mi>m</mi>
</msub>
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</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
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<mo>(</mo>
<msub>
<mi>y</mi>
<mi>o</mi>
</msub>
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<msub>
<mi>y</mi>
<mi>m</mi>
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<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
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<mo>(</mo>
<msub>
<mi>z</mi>
<mi>o</mi>
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<msub>
<mi>z</mi>
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<mn>2</mn>
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</msqrt>
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<msqrt>
<mrow>
<msup>
<msub>
<mi>x</mi>
<msup>
<mi>a</mi>
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</msup>
</msub>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<msub>
<mi>y</mi>
<msup>
<mi>a</mi>
<mo>&prime;</mo>
</msup>
</msub>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<msub>
<mi>z</mi>
<msup>
<mi>a</mi>
<mo>&prime;</mo>
</msup>
</msub>
<mn>2</mn>
</msup>
</mrow>
</msqrt>
</mrow>
</mfrac>
<mo>)</mo>
</mrow>
<mo>.</mo>
</mrow>
7. rock tunnel(ling) machine Cutting tool installation manner dimension measurement method according to claim 1, it is characterised in that in step S1 also
Including step definition measurement coordinate system, that is, the Pivot axle for defining the cutter head panel is Z axis and is just along tunneling direction；
The central point O of the cutter head panel and central point M of first reflector plate line is defined for X-axis and along the cutterhead face
The center outwardly direction of plate is just；The central point O vertical lines vertical with X-axis of the cutter head panel is defined for Y-axis and along described
The center outwardly direction of cutter head panel is just.
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| CN110375650A (en) * | 2019-08-15 | 2019-10-25 | 中国铁建重工集团股份有限公司 | Arch posture measuring method and system |
| CN110954017A (en) * | 2019-11-22 | 2020-04-03 | 武汉大学 | Method for acquiring and resolving laser scanning data reflected by any curved mirror |
| CN111222222A (en) * | 2019-11-28 | 2020-06-02 | 南京工业大学 | Shield cutter head contour design method considering stratum change |
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| CN1818640A (en) * | 2006-03-03 | 2006-08-16 | 广州市盾建地下工程有限公司 | Cutter wear inspection during tunnelling process of tunnel tunneller |
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| CN110375650A (en) * | 2019-08-15 | 2019-10-25 | 中国铁建重工集团股份有限公司 | Arch posture measuring method and system |
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| CN111222222B (en) * | 2019-11-28 | 2020-08-14 | 南京工业大学 | Shield cutter head contour design method considering stratum change |
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