CN109766610B - Cutter head design method for full-section profiling excavation of rounded rectangular tunnel - Google Patents
Cutter head design method for full-section profiling excavation of rounded rectangular tunnel Download PDFInfo
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Abstract
The invention provides a cutter head design method for full-section profiling excavation of a rounded rectangular tunnel, which comprises the following steps: establishing a profiling cutter theoretical profile model according to a profiling principle that the cutter profile is tangent to the square section; discretizing the cutter contour to obtain the optimal cutter center distance; fitting a function of the maximum overexcavation amount of each discrete point and the cutter spread angle by using a polynomial; a cutter head contour optimization model is obtained by utilizing the fitted maximum overexcavation amount polynomial; discretizing the optimized cutter head track model, and fitting each discrete point to obtain the cutter head contour cutting track length; calculating the profile abrasion loss of the cutter head, and calculating the minimum number of cutters arranged at corresponding positions in the cutter head spread angle; and arranging cutters, wherein the center distance between the cutter heads is the obtained optimal cutter head center distance. The cutter head designed by the invention is more reasonable, can be excavated in a full section, reduces the abrasion speed of the cutter, greatly shortens the design period of the cutter head, and reduces the maintenance cost of equipment.
Description
Technical Field
The invention relates to the technical field of cutter head design of a tunneling machine, in particular to a cutter head design method for full-section profiling excavation of a rounded rectangular tunnel.
Background
In the existing excavation system forms of the development machine suitable for rectangular tunnel excavation, the parallel central shaft type, the eccentric multi-shaft type and the planetary type are the most common. The two are mostly used in the construction of large-section rectangular tunnels and are also the main forms of the excavation systems of the rectangular heading machines in China. The planetary transmission structure has compact structure, the cutter head performs the composite motion of rotation and revolution, the profiling excavation of a complex section can be realized, and the advantage is obvious in the construction of a small-section rectangular tunnel with narrow space. In the existing design of planetary profiling cutterheads, a trial and error method is mostly adopted for design, the cutting track of the cutterhead can envelop a rectangular section to a certain extent, but the problem of over-excavation and under-excavation of a corner area exists. The invention relates to a planetary gear type profiling excavation device (CN108150185A) for rectangular section tunnel construction, which is invented by medium-speed railway engineering equipment group, and provides a cutter profile model, wherein a profile area with better profiling is reserved by setting a segmentation function, the profile area causing over excavation is corrected, the correction area avoids the over excavation of a section, but an undermining area appears at a corner, the full section excavation is not realized, and an excavation blind area is eliminated by depending on auxiliary measures such as a shield cutter, water jet and the like. Yangzhou Guangxin heavy equipment limited company provides a cutter head driving assembly (CN202970725U) of a heading machine with a square section, the profiling principle of the assembly is that a cutter head contour pitch circle and an inner gear ring pitch circle roll purely, when the ratio of the cutter head radius to the inner gear ring radius is 4/3, the track is approximate to a quadrangle, the cutting track does not cover a rounded rectangle by 100% completely, the mathematical relationship among the section size, the cutter head radius and the inner gear ring radius is lacked, and the assembly cannot be directly used for parameter calculation and selection. Further, none of the above inventions provide a method for calculating and arranging the life of a cutter of a contour cutter head.
Disclosure of Invention
Aiming at the technical problems of overexcavation and underexcavation of a section, frequent cutter replacement and difficult design optimization caused by the lack of a cutter head design method of a tunneling machine in a rounded rectangular tunnel, the invention provides a cutter head design method for full-section profile modeling excavation of the rounded rectangular tunnel, which realizes full-section excavation of the rectangular section, fully considers cutter head layout, cutter and other service life arrangement and reduces maintenance cost.
In order to achieve the purpose, the technical scheme of the invention is realized as follows: a cutter head design method for full-section profiling excavation of a rounded rectangular tunnel comprises the following steps:
the method comprises the following steps: acquiring the side length of a square section to be dug to be 2L as input constraint;
step two: according to the profiling principle that the profile of the cutter head is tangent to the square section and the mapping between the 180-degree spread angle of the cutter head and the 45-degree revolution angle, a profiled cutter head theoretical profile model is established;
step three: discretizing the cutter disc outline according to a cutter disc theoretical outline model to obtain the overexcavation amount of each discrete point on the cutter disc outline, and analyzing the relationship between the maximum overexcavation amount of the cutter disc, the excavation allowance of the cutter disc center and the cutter disc center distance to obtain the optimal cutter disc center distance; bringing the optimal center distance of the cutterhead into the overexcavation amount, and fitting a function of the maximum overexcavation amount of each discrete point and the cutterhead spread angle by using a polynomial;
step four: the fitted maximum overexcavation polynomial is used for obtaining a minimum fillet radius and a corrected cutter radius to obtain a cutter contour optimization model, and the optimized cutter path model is calculated by using the cutter contour optimization model;
step five: discretizing the optimized cutter profile, and fitting the cutting track length of each discrete point by using a polynomial to obtain an expression related to the cutter spread angle;
step six: selecting different cutter types according to geological parameters and cutter cutting characteristics; calculating the abrasion loss of the cutter head profile by using an expression of the cutter head profile and the cutting track length, and calculating the minimum cutter number of the corresponding profile position in the cutter head span angle according to the structural parameters, the tunneling parameters and the equal service life principle;
step seven: three cutter heads are uniformly distributed at intervals of 120 degrees about the center of the square section, the cutter points of the cutter heads are all positioned at the center of the square section, the center distance between the cutter heads is the optimal cutter head center distance obtained in the third step, and the cutters are arranged by adopting a traditional Archimedes spiral line or concentric circle method according to the sizes of the cutters;
step eight: and rotating the three cutters around the center of the cutter head to be parallel, wherein the cutter points point to the same direction.
The profiling cutter disc theoretical profile model is as follows:
wherein R is the center distance of the cutter head, theta is the cutter head spread angle, and R is the cutter head radius; (x) 0 ，y 0 ) Is a contour point on the cutter head.
The method for determining the optimal cutterhead center distance in the third step comprises the following steps: two particle tracks at the symmetrical positions of the cutter head outline are symmetrically distributed, and the cutter head outline area is positioned at (0,45 DEG)]The overexcavation amount in the rotation angle range is analyzed, and the overexcavation amount of each discrete point on the cutter head profile is
Alpha is the revolution angle of the cutter head; the excavation allowance of the center of the cutter head is the distance from the cutter point to the center of the square section when the revolution angle of the cutter head is 0 degrees, namely
Establishing the maximum overbreak amount maxh of the cutter head max (theta) and the relation curve of the excavation allowance l of the center of the cutter head and the center distance R of the cutter head respectively, in terms of maxh max When the theta is equal to l, the value of the cutterhead center distance R is the optimal cutterhead center distance R 0 Wherein h is max (theta) is that the revolution angle alpha of the cutter head is (0, pi) when the extension angle theta of the cutter head takes a determined value]Maximum value of overbreak h within the range.
Fitting a function of the maximum overexcavation amount of each discrete point on the spread angle by using a polynomial in the third step to obtain the maximum overexcavation amount h max (θ)；
According to the maximum overexcavation maxh of the cutter head max (theta) derived minimum fillet radius
Correcting the radius of the cutter by using the maximum overbreak amount of the discrete points to obtain an equation of a cutter contour optimization model, wherein the equation comprises the following steps:
wherein sgn (θ) represents a sign function of the cutter head spread angle;
the equation of the optimized cutter path model is as follows:
wherein, (x, y) is a point on the cutting track of the cutter head contour.
Discretizing the cutter profile of the cutter profile optimization model, wherein the length calculation formula of each discrete point of the cutter profile in one revolution is
Theta is the cutter spread angle, polynomial fitting related to spread angle independent variable is carried out on the cutting track length of each discrete point by utilizing a polynomial, and a cutter contour cutting track length expression s (theta) is obtained, wherein theta belongs to (0, pi)]。
The cutter head profile wear amount is
Wherein K is the abrasion coefficient, nd is the autorotation speed of the planetary cutterhead, and L m The tunneling distance is, v is the tunneling speed, and n is the number of cutters arranged on the same track;
according to
In a limited amount of wear [ delta ]]And allowable tunneling distance [ L ] m ]And calculating the minimum number of the cutters which can be arranged at the profile positions corresponding to different cutter head spread angles theta after setting: c. C 1 ＝KL m n d /(10v)，c 2 ＝10v[δ]/(Kn d ) At this time, the amount of wear [ delta ] is defined]＝μc 1 Allowable tunneling distance [ L ] m ]＝εc 2 ，μ＝s(θ)/n 0.333 For the coefficient of penetration, ∈ ═ n 0.333 (ii) s (θ) is the wear coefficient; calculating to obtain the critical tunneling coefficient abrasion coefficient mu c And critical wear coefficient ε c 。
The cutters are sequentially connected end to end and inscribed in the contour of the cutter head, the position of the first cutter is perpendicular to the center line of the cutter head, namely the position coordinate of the first cutter is (0,0.5b), wherein b is the given cutter width; and calculating the coordinates of the end points of the cutters and the corresponding cutter head spread angles theta through a simultaneous contour optimization model and the cutter positions, taking the mean value of the spread angles at the two ends of the cutters as the center of the cutter head, and calculating the minimum arrangement number of the cutters by taking the contour wear amount corresponding to the center as the cutter wear amount.
The invention has the beneficial effects that: based on the analysis of the cutting track of the theoretical profile of the cutter head tangent to the section, the optimal center distance of the cutter head is determined; a rectangular fillet is introduced, the overexcavation amount is used as a correction term, a cutter profile optimization model is established, and full-section excavation is realized; further provides a method for calculating the abrasion of the cutter of the profiling cutter head, and establishes a strategy for the interval uniform distribution and the cutter arrangement of the cutter head. The cutter head designed by the invention is more reasonable, the full-section excavation of the rounded rectangle can be realized, the abrasion speed of the cutter is reduced, the design period of the cutter head is greatly shortened, and the maintenance cost of equipment is reduced.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a flow chart of the present invention.
FIG. 2 is a curve of the overbreak distribution and the fitting function of the present invention.
Fig. 3 is a comparison diagram of the optimization of the profile of the cutter head.
Fig. 4 is a schematic view of the cover surface of the cutter head for optimizing contour cutting.
Fig. 5 shows the angular travel and the fitting curve of different cutterheads according to the present invention.
FIG. 6 is a graph of wear coefficient relationships according to the present invention.
Fig. 7 is a graph of the relation of the tunneling coefficient of the invention.
FIG. 8 is a schematic view of the cutter arrangement of the present invention
Fig. 9 is a schematic diagram of the arrangement of three cutterhead cutters of the present invention.
Fig. 10 is a cutter head structure diagram according to the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be obtained by a person skilled in the art without inventive effort based on the embodiments of the present invention, are within the scope of the present invention.
As shown in fig. 1, a cutter head design method for full-section profiling excavation of a rounded rectangular underground space comprises the following steps:
the method comprises the following steps: the user specifies the size 2L of the side length of the square section as 1000mm as input constraint;
step two: according to the profile modeling principle of profile tangency, the cutter head profile is known to be tangent to and coincident with the side of a square section, a 180-degree spread angle of the cutter head is mapped with a 45-degree revolution angle, and a formula of a profile modeling cutter head theoretical profile model is established:
and calculating the theoretical profile of the cutter head, wherein the center distance of the cutter head is R, the revolution angle of the cutter head is alpha, the extension angle of the cutter head is theta, and the radius of the cutter head is R.
Step three: when the center distance R of the disc is small, the over-excavation of the excavation section to the corner is serious, and the center excavation allowance is large. Along with the increase of the center distance R of the set plate, the center excavation allowance and the corner overexcavation amount are gradually reduced. Two particle tracks at the symmetrical positions of the cutter head profile are also symmetrically distributed, and only the cutter head profile area is (0,45 degrees) for convenient analysis]Analyzing the excessive digging amount in the rotation angle range, discretizing the cutter contour, wherein the excessive digging amount of the cutter corners at each discrete point is
Cutter head center excavation allowance
When l is less than 0, the center is under-dug. The maximum overbreak amount of the cutter head is the maximum value of the maximum overbreak amount of each discrete point, and the maximum overbreak amount maxh of the cutter head is established max (theta) and the relation curve of the excavation allowance l of the center of the cutter head and the center distance R of the cutter head respectively can find the maximum overexcavation amount maxh of the cutter head max And (theta) and the cutter head center excavation allowance l are linearly reduced along with the increase of the cutter head center distance R. maxh max When (theta) ═ l, the solution is obtained when R is 651.85mm, because of maxh max (theta) and the excavation allowance l of the center of the cutter head have monotonicity relative to the center distance R of the cutter head, so the maximum over-excavation amount h max The solution of (θ) — l exists and is unique.
Discretizing the cutter contour, and calculating the maximum overbreak h of each discrete point max (theta) and polynomial fitting it to obtain h max (θ)＝8.54θ 3 -21.07θ 2 +17.66θ,θ∈(0，π]The amount of discrete point overbreak and the fitted curve are shown in figure 2.
Step four: the right-angle rectangular corners are changed into round corners. According to the maximum overexcavation maxh of the cutter head max (theta) deriving a calculated minimum fillet radius of the cross-section
Get r 0 The actual rounded corner of the facet design should not be less than 266.8 mm.
Correcting the radius of the cutter head by using the excess excavation amount, and calculating a cutter head contour optimization model
After the optimized cutter head profile is more blunt as shown in figure 3, the profiling capability of the corner is greatly improved. sgn is a commonly used sign function when θ<When 0, the return value is-1; when theta is 0, the returned function value is 0; when theta is>At 0, the return value is 1. The introduction of sgn avoids the use of piecewise function representations, primarily because the cutterhead profile is symmetrical.
Optimized cutter head contour cutting track model
maxh max When (theta) is equal to l, optimizing the maximum overexcavation maxh of the cutter head max (theta) and the excavation allowance L of the center of the cutter head are both 0, and the length of the side is 2L, and the round angle r is realized 0 The cutting coverage surface is shown in fig. 4, and the optimized cutter disc outline realizes the full-section excavation of the rounded rectangle.
Step five: discretizing the cutter disc profile, analyzing the length of each discrete point in one revolution, and calculating the cutting track length of the cutter disc profile
And fitting it with a polynomial equation to obtain s (theta) of 5.45 theta 2 -0.04θ+7.23,θ∈(0，π]Fig. 5 shows the length of the profile discrete point cutting path and the fitted curve, and it can be seen from fig. 5 that the larger the cutter head spread angle θ, the larger the stroke.
Step six: calculating the cutter head profile abrasion loss
Delta-wear loss (mm), K-wear factor (. mu.m/km), n d Autorotation speed (r/min), L of planetary cutter head m Tunneling distance (m), v, tunneling speed (cm/min), n, the number of cutters arranged on the same track; the parametric inputs are shown in table 1.
TABLE 1 input parameters
Selecting different cutter types according to geological parameters and cutter cutting characteristics; the movement speed of the cutter head is analyzed, and under the values of different cutter head spread angles, the included angles of the tangent lines of the profile of the cutter head and the included angles of the tangent lines of the track are periodically changed along with the increase of the common rotation angle alpha. Because the included angle is not constant and exceeds 90 degrees, the hob and the traditional one-way cutter are not suitable to be used.
According to
In a limited amount of wear [ delta ]]And allowable driving distance L m ]Given the minimum number of tools that the post-calculated spread angle θ can be placed corresponding to the profile position: c. C 1 ＝KL m n d /(10v)，c 2 ＝10v[δ]/(Kn d ) (ii) a At this time [ delta ]]＝μc 1 ，[L m ]＝εc 2 Where μ is defined as s (θ)/n 0.333 For the coefficient of penetration, define ε ═ n 0.333 The coefficient of wear is calculated as the coefficient of wear, [ mu ] of the critical coefficient of wear c ＝7.5，ε c 0.13. When geological parameters, equipment tunneling parameters, cutter materials and cutter limited abrasion loss are given, a cutter installation spread angle is taken as an abscissa, an abrasion coefficient or a tunneling coefficient is taken as an ordinate, a tunneling coefficient relational graph is shown in fig. 7, and an abrasion coefficient relational graph is shown in fig. 6. The line in fig. 6 represents the critical wear coefficient and the intersection of the line with the curve of the wear coefficient of the different n-valued tools represents the minimum number of tools for the maximum defined wear amount in this mounting position. The straight line in fig. 7 represents the critical excavation coefficient, and the intersection of the straight line and the curve of the excavation coefficient of the tool with different values of n represents the minimum excavation distance of the tool on the premise that the limited wear amount is satisfied at this mounting position. The number of tools calculated to be the least arranged at different angles of spread is shown in table 2.
TABLE 2 number of cutters at different cutter head spread angles
The cutters are sequentially connected end to end and are internally connected with the profile of the cutter head, and the cutters are uniformly distributed as shown in figure 8. The spread angle corresponding to the center of the cutter represents the installation position of the cutter, and the cutter abrasion loss is approximate to the average value abrasion loss of the cutter spread angle for the convenience of type selection calculation. Optimizing the model and the tool width b by simultaneous tool head contour
Calculating the coordinate of the end point of the cutter and the spread angle theta of the corresponding cutter head, and taking the mean value of the spread angles at the two ends of the cutterThe minimum arrangement number of the cutters is calculated by taking the abrasion loss of the profile corresponding to the center as the cutter wear loss of the cutter center as shown in table 3.
TABLE 3 cutter positions and Numbers
According to the transmission ratio analysis of the planetary transmission mechanism, every time the cutter head rotates for one circle, the cutter head revolves for 120 degrees, and when the cutter head revolves for one circle, the cutter head rotates for three circles. Therefore, one cutter head can be arranged at intervals of 120 degrees, and the excavation of the whole section is completed through the common cutting motion of the three cutter heads. The three-leaf-grass-shaped planetary transmission mechanism is balanced in stress and stable in transmission, and when cutters are arranged on the cutter heads, the cutters with the same track can be arranged on different cutter heads, so that the cutter arrangement is more reasonable, and the torque of a single cutter head and the abrasion of the cutters are reduced.
Particle tracks on the three cutterheads are coincident with particle tracks at the same positions, the three cutterheads are arranged in a centrosymmetric manner at intervals of 120 degrees when in knife distribution, the knife point of each cutterhead is positioned at the center of the section, and the center distance of each cutterhead is R 0 The tool arrangement is performed using a spiral or concentric circle method, as shown in fig. 9. When the number of the single surfaces of the cutters is more than 3, the cutter points close to the cutter heads are close to each other, and the cutters can be arranged at the axisymmetric positions of the cutter heads because the particle tracks at the axisymmetric positions of each cutter head are symmetric and close to each other. In addition, the space at the tool nose point of the cutter head is limited, and a triangular alloy tool is designed.
And after the arrangement of the cutters is finished, the three cutter discs rotate around the centers of the cutter discs to be in a parallel state, and the cutter points point to the same direction. As shown in fig. 10.
The invention establishes a theoretical profile model of the cutter head based on the profiling principle that the profile of the profiling cutter head is tangent to the rectangular section. Based on the cutting track analysis of the theoretical profile of the profiling cutterhead, the corner overexcavation phenomenon cannot be eliminated by the right-angled rectangle, the method for setting the fillet on the rectangular section is provided, the optimal center distance and the minimum section fillet radius are determined, the cutterhead profile optimization model based on the corner overexcavation amount is established, and the full-section excavation of the fillet rectangle is realized. The invention provides a layout arrangement adopting three cutter heads at intervals of 120 degrees according to the kinematic analysis of the cutter heads. According to the contour cutting track of the cutter head, a calculation formula of cutter abrasion on the profiling cutter head is fitted, the arrangement quantity of cutters at different spread angle positions on the cutter head is calculated according to the equal-service-life arrangement principle, a strategy that the cutters are arranged in a spiral line corresponding to the spread angle positions is provided, and a basis is provided for cutter head design. By verifying the embodiment of the invention, the feasibility of the design method is proved.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.
Claims (4)
1. A cutter head design method for full-section profiling excavation of a rounded rectangular tunnel is characterized by comprising the following steps:
the method comprises the following steps: acquiring the side length of a square section to be dug to be 2L as input constraint;
step two: according to the profiling principle that the profile of the cutter head is tangent to the square section and the mapping between the 180-degree spread angle of the cutter head and the 45-degree revolution angle, a profiled cutter head theoretical profile model is established;
the profiling cutter disc theoretical profile model is as follows:
wherein R is the center distance of the cutter head, theta is the cutter head spread angle, and R is the cutter head radius; (x) 0 ，y 0 ) Contour points on the cutter head;
step three: discretizing the cutter disc outline according to a cutter disc theoretical outline model to obtain the overexcavation amount of each discrete point on the cutter disc outline, and analyzing the relationship between the maximum overexcavation amount of the cutter disc, the excavation allowance of the cutter disc center and the cutter disc center distance to obtain the optimal cutter disc center distance; bringing the optimal center distance of the cutterhead into the overexcavation amount, and fitting a function of the maximum overexcavation amount of each discrete point and the cutterhead spread angle by using a polynomial;
the method for determining the optimal cutterhead center distance in the third step comprises the following steps: two particle tracks at the symmetrical positions of the cutter head outline are symmetrically distributed, and the cutter head outline area is positioned at (0,45 DEG)]Analyzing the over-excavation amount in the corner range, wherein the over-excavation amount of each discrete point on the cutter head profile is
Alpha is the revolution angle of the cutter head; the excavation allowance of the center of the cutter head is the distance from the cutter point to the center of the square section when the revolution angle of the cutter head is 0 degrees, namely
Establishing the maximum overbreak amount maxh of the cutter head max (theta) curve of relation between the cutter center excavation allowance l and the cutter center distance R respectively, and the relation is expressed by maxh max When the theta is equal to l, the value of the cutterhead center distance R is the optimal cutterhead center distance R 0 Wherein h is max (theta) is that the revolution angle alpha of the cutter head is (0, pi) when the extension angle theta of the cutter head takes a determined value]Maximum value of overbreak h within the range;
step four: the fitted maximum overexcavation polynomial is used for obtaining a minimum fillet radius and a corrected cutter head radius to obtain a cutter head contour optimization model, and the optimized cutter head track model is calculated by using the cutter head contour optimization model;
fitting a function of the maximum overexcavation amount of each discrete point on the spread angle by using a polynomial in the third step to obtain the maximum overexcavation amount h max (θ)；
According to the maximum overexcavation maxh of the cutter head max (theta) derived minimum fillet radius
Correcting the radius of the cutter by using the maximum overbreak amount of the discrete points to obtain an equation of a cutter contour optimization model, wherein the equation comprises the following steps:
wherein sgn (θ) represents a sign function of the cutter head spread angle;
the equation of the optimized cutter path model is as follows:
wherein, (x, y) is a point on a cutter contour cutting track;
step five: discretizing the optimized cutter profile, and fitting the cutting track length of each discrete point by using a polynomial to obtain an expression related to the cutter spread angle;
step six: selecting different cutter types according to geological parameters and cutter cutting characteristics; calculating the abrasion loss of the cutter head profile by using an expression of the cutter head profile and the cutting track length, and calculating the minimum cutter number of the corresponding profile position in the cutter head span angle according to the structural parameters, the tunneling parameters and the equal service life principle;
step seven: three cutter heads are uniformly distributed at intervals of 120 degrees about the center of the square section, the cutter points of the cutter heads are all positioned at the center of the square section, the center distance between the cutter heads is the optimal cutter head center distance obtained in the third step, and the cutters are arranged by adopting a traditional Archimedes spiral line or concentric circle method according to the sizes of the cutters;
step eight: and rotating the three cutters around the center of the cutter head to be parallel, wherein the cutter points point to the same direction.
2. The method for designing the cutterhead for the full-face profile modeling excavation of the rounded rectangular tunnel according to claim 1, wherein the cutterhead profile of the cutterhead profile optimization model is discretized, and the length calculation formula in one revolution of each discrete point of the cutterhead profile is as follows
Theta is the cutter spread angle, polynomial fitting related to spread angle independent variable is carried out on the cutting track length of each discrete point by utilizing a polynomial, and a cutter contour cutting track length expression s (theta) is obtained, wherein theta belongs to (0, pi)]。
3. The method of claim 2, wherein the method comprises designing a cutterhead for full-face profile excavation of a rounded rectangular tunnelThe cutter head profile wear amount is
Wherein K is the abrasion coefficient, n d Is the autorotation speed of the planetary cutter head, L m The tunneling distance is, v is the tunneling speed, and n is the number of cutters arranged on the same track;
according to
In a limited amount of wear [ delta ]]And allowable tunneling distance [ L ] m ]And calculating the minimum number of the cutters which can be arranged at the profile positions corresponding to different cutter head spread angles theta after setting: c. C 1 ＝KL m n d /(10v)，c 2 ＝10v[δ]/(Kn d ) At this time, the amount of wear [ delta ] is defined]＝μc 1 Allowable tunneling distance [ L ] m ]＝εc 2 ，μ＝s(θ)/n 0.333 For the coefficient of penetration, ∈ n 0.333 (ii) s (θ) is the wear coefficient; calculating to obtain the critical tunneling coefficient abrasion coefficient mu c And critical wear coefficient ε c 。
4. The method for designing the cutterhead for the full-section profile modeling excavation of the rounded rectangular tunnel according to claim 1 or 3, wherein the cutters are sequentially connected end to end and inscribed in the contour of the cutterhead, and the position of the first cutter is set to be perpendicular to the center line of the cutterhead, namely the position coordinate of the first cutter is (0,0.5b), wherein b is the given cutter width; and calculating the coordinates of the end points of the cutters and the corresponding cutter head spread angles theta through a simultaneous contour optimization model and the cutter positions, taking the mean value of the spread angles at the two ends of the cutters as the center of the cutter head, and calculating the minimum arrangement number of the cutters by taking the contour wear amount corresponding to the center as the cutter wear amount.
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| CN110826161B (en) * | 2019-11-28 | 2020-07-28 | 南京工业大学 | Full-face tunneling machine cutter arrangement design method based on stratum conditions |
| CN111222222B (en) * | 2019-11-28 | 2020-08-14 | 南京工业大学 | Shield cutter head contour design method considering stratum change |
| CN111075468B (en) * | 2019-12-30 | 2021-02-23 | 中铁工程装备集团有限公司 | Control calculation method for propulsion system of flexible arm heading machine |
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