CN101915567A - Method for measuring and positioning inclined structure of high-rise building - Google Patents

Method for measuring and positioning inclined structure of high-rise building Download PDF

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Publication number
CN101915567A
CN101915567A CN 201010242955 CN201010242955A CN101915567A CN 101915567 A CN101915567 A CN 101915567A CN 201010242955 CN201010242955 CN 201010242955 CN 201010242955 A CN201010242955 A CN 201010242955A CN 101915567 A CN101915567 A CN 101915567A
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rectangle
angle
rise building
straight plate
inclined structure
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CN101915567B (en
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雷文秀
杨海波
周旭
王峰
张新元
张长利
张翠云
冯剑锋
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Shaanxi Construction Engineering Group Mechanized Construction Co Ltd
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Shaanxi Construction Engineering Group Mechanized Construction Co Ltd
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Abstract

The invention discloses a method for measuring and positioning the inclined structure of a high-rise building, comprising the following steps of: firstly, selecting and lofting points to be measured; secondly, arranging the measuring angle conversion device comprising two rectangular straight plates on the outer-side inclined surface of the inclined structure of the high-rise building; thirdly, horizontally pasting a light-reflecting slice on the lower side surface of the measuring angle conversion device; fourthly, calculating the three-dimensional space coordinate of the center of a circle of the light-reflecting slice and an inclined angle between the light-reflecting slice and a horizontal plane; and fifthly, measurement and positioning: carrying out measurement, positioning and control by using a total station and the measuring angle conversion device in the process of hoisting the inclined structure of the high-rise building. The method has the advantages of reasonable design, low investment cost, high measuring and positioning precision and high construction speed and effectively solves the actual problems of construction progress interference caused by the reflection action of the sunlight, lower measuring and positioning precision, poorer construction quality and the like existing in the construction process of the inclined structure of the traditional high-rise building.

Description

Method for measuring and positioning inclined structure of high-rise building
Technical field
The present invention relates to a kind of measurement and positioning method, especially relate to a kind of method for measuring and positioning inclined structure of high-rise building.
Background technology
The Famen Temple dagoba ingenious conception of putting the palms together before one, modern design is a kind of design of theory, the positive facade of the dagoba of putting the palms together before one is the shape of putting one's palms together devoutly, and belongs to the broken line symmetrical conjoined structure of encorbelmenting.The Famen Temple dagoba of putting the palms together before one adopts shaped steel-concrete combined structure form.The total building height of king-tower is 148 meters (127 meters of concrete towers height degree), and principal plane is 54 * 54 meters, totally 12 layers of aerial parts, and the structure floor height is: 24 meters of one decks, ten layers 5 meters, 8 meters of eleventh floors, all the other each layers are 10 meters.For realizing architectural image, the body of the tower structure height 24 meters, 44 meters (the back of the hand), 54 meters (palms of the hand), 74 meters the tower body flex point is set respectively, it wherein below 24 meters vertically cylindrical shell of rule, 24-44 rice dorsal side is to tilt in the 14.8422 degree angles, 44-54 rice dorsal side and palm of the hand side are changed with the inclined in two-way face, 44-74 rice dorsal side (54-74 rice palm of the hand side) is with 36 ° of angle outer inclines, the 74-127 rice the back of the hand and the 74-104 rice palm of the hand are to tilt in 36 ° of angles, with four truss structures two palms that independently separate being connected respectively at 109-117 rice is conjoined structure, stressed jointly.
Thereby, the Famen Temple of the being constructed dagoba of putting the palms together before one belongs to towering, irregular and the symmetrical conjoined structure point building of reciprocal inclination, in the actual building course, it measures control, the measurement and the location that specifically are each member space mounting position are extremely important sport technique segments in this engineering, and the measurement of skyborne position of each member and form is the important means that realizes design idea with control.Especially when the main structure construction of the dagoba of putting the palms together before one is above to 74m, this part-structure body slopes inwardly 36 ° respectively by the left and right sides, this moment is because the angle of inclination is big, be attached to the reflecting piece on the reinforced concrete column, make the reflective prism of the total powerstation that is erected on the thing control survey point because the observation blooming appears measuring in the reflective radiation of sunshine, thereby directly influenced the control of total station survey precision.In the practice, how to solve and eliminate the reflection action that shines upon and effectively improve the accuracy of measuring control accuracy.
Summary of the invention
Technical matters to be solved by this invention is at above-mentioned deficiency of the prior art, a kind of method for measuring and positioning inclined structure of high-rise building is provided, it is reasonable in design, input cost is low and measurement and positioning precision height, speed of application is fast, efficiently solves many practical problemss such as existing sunshine reflex perplexs construction speed in the existing inclined structure of high-rise building work progress, the measurement and positioning precision is lower, construction quality is relatively poor.
For solving the problems of the technologies described above, the technical solution used in the present invention is: a kind of method for measuring and positioning inclined structure of high-rise building is characterized in that this method may further comprise the steps:
Selected and the setting-out of step 1, tested point: carry out at need selecting a location point of being convenient to total station survey as tested point on the outer lateral incline of inclined structure of high-rise building of measurement and positioning, and selected tested point marked, described outer lateral incline is flat sides set or arcuate flanks; According to design drawing, measure the three dimensional space coordinate (x that setting-out goes out described tested point simultaneously 0, y 0, z 0) and described arcuate flanks in the outer tangent plane at described tested point place or described flat sides set respectively and the inclination angle beta between the surface level, described inclination angle beta<90 °;
Step 2, the conversion equipment that takes measurement of an angle are laid: the conversion equipment that will take measurement of an angle is laid on the described outer lateral incline, the described conversion equipment that takes measurement of an angle comprises straight plate one of rectangle and the straight plate two of rectangle that is laid on the straight plate one of rectangle, and the angle between straight plate one of rectangle and the straight plate two of rectangle is α, wherein 45 °≤α≤135 °; When laying described angle conversion device, make the straight plate one of rectangle be tiled on the described flat sides set or be laid on the outer tangent plane of described arcuate flanks, and the center line of the straight plate one of rectangle parallels with the center line of described outer lateral incline, and make the downside of described tested point and the straight plate one of rectangle lay at grade, simultaneously to the vertical range D between the center line of the center line of the straight plate one of rectangle and described outer lateral incline and the thickness of slab d of the straight plate one of rectangle 1Measure and record;
Step 3, reflecting piece are laid: a smooth reflecting piece on the downside of the straight plate two of rectangle, intersecting lens between the center of circle O that is shaped as circle and reflecting piece of described reflecting piece and the line between the described tested point and the straight plate one of rectangle and the straight plate two of rectangle is perpendicular, simultaneously between the center of circle O of reflecting piece and the described tested point apart from d 0Measure and record;
Step 4, locus are calculated: adopt conventional locus analytical approach, and in conjunction with the three dimensional space coordinate (x of described tested point 0, y 0, z 0), inclination angle beta, vertical range D and thickness of slab d 1And vertical range d 0(z), the angle of inclination between described reflecting piece and the surface level is an alpha+beta for x, y to extrapolate the three dimensional space coordinate of the center of circle O of reflecting piece;
Step 5, measurement and positioning: adopt conventional hanging device that inclined structure of high-rise building is lifted, in the hoisting process, with reference to the three dimensional space coordinate (x that calculates the center of circle O that comes out in the step 5, y, z) and the angle of inclination between reflecting piece and the surface level be alpha+beta, and adopt total powerstation and reflecting piece and be laid in the match measuring method of use of reflective prism on the backsight point and synchro measure is carried out at the three dimensional space coordinate of center of circle O and the angle of inclination between reflecting piece and the surface level and control, finally finish the accurate location and installation of inclined structure of high-rise building according to the hoisting process that measurement result is tackled described hanging device mutually.
Above-mentioned method for measuring and positioning inclined structure of high-rise building is characterized in that: when selecting described tested point in the step 1, should guarantee described tested point and described total powerstation and be erected between the emission prism on the backsight point all not have barrier.
Above-mentioned method for measuring and positioning inclined structure of high-rise building, it is characterized in that: the angle conversion device described in the step 2 is laid on the termination, top of inclined structure of high-rise building, the center line of described angle conversion device and the center line of described outer lateral incline coincide, and angle conversion device be laid in described outer lateral incline directly over.
Above-mentioned method for measuring and positioning inclined structure of high-rise building, it is characterized in that: the setting height(from bottom) of inclined structure of high-rise building described in the step 1 is more than the 50m, and outer tangent plane or the inclination angle beta described flat sides set and surface level between of described arcuate flanks at described tested point place is 15 °~75 °.
Above-mentioned method for measuring and positioning inclined structure of high-rise building is characterized in that: the angle α between straight plate one of rectangle described in the step 2 and the straight plate two of rectangle is 80 °≤α≤100 °.
Above-mentioned method for measuring and positioning inclined structure of high-rise building is characterized in that: angle α=90 between straight plate one of described rectangle and the straight plate two of rectangle °.
Above-mentioned method for measuring and positioning inclined structure of high-rise building is characterized in that: " L " shape structure of conversion equipment for being made up of straight plate one of rectangle and the straight plate two of rectangle that take measurement of an angle described in the step 2.
Above-mentioned method for measuring and positioning inclined structure of high-rise building is characterized in that: the described conversion equipment that takes measurement of an angle is an angle steel.
Above-mentioned method for measuring and positioning inclined structure of high-rise building is characterized in that: the reflecting piece described in the step 3 is the laser reflecting piece.
Above-mentioned method for measuring and positioning inclined structure of high-rise building, it is characterized in that: when carrying out the locus reckoning in the step 4, with any location point on the inclined structure of high-rise building is that true origin is set up rectangular coordinate system in space, and the rectangular coordinate system in space that utilization is set up is to the three dimensional space coordinate (x of the center of circle O of reflecting piece, y, z), the angle of inclination between described reflecting piece and the surface level is that alpha+beta is calculated.
The present invention compared with prior art has the following advantages:
1, the conversion device structure that takes measurement of an angle that is adopted is simple, processing and fabricating convenient, input cost is low and laying is installed conveniently.
2, the measurement and positioning method is simple, and easy and simple to handle and realization convenience in the practice of construction process, only needs weld an angle steel in advance in original position that mounts reflecting piece.
3, result of use is good and practical value is high, and a position that only needs to paste reflecting piece at reinforced concrete column be welded the angle bar of L70 * 70 * 6 in advance, then reflecting piece is attached on the angle bar, just can realize the purpose with 90 ° of the observation angle conversions of original incline structure body.Like this, eliminated the reflection action of solar light irradiation effectively, and it is accurate to measure accuracy of observation, has guaranteed the correctness of reinforced concrete column installing space position and state effectively, solid construction basis has been established in integrally-built observing and controlling location.
4, society and remarkable in economical benefits theoretically, mainly are the transfer problems that has solved a member plane; But on effect, the present invention has solved the great technological difficulties that measurement and positioning, position shape (position and form) are controlled conscientiously, guaranteed the correctness of each aspect member space bit shape in the one-piece construction effectively, thereby guaranteed the construction period progress conscientiously, guaranteed the precondition that the final realization of agent structure is closed up smoothly.
5, applied widely, can effectively promote the installation process that is suitable for to multiple inclined structure of high-rise building.
In sum, the present invention is reasonable in design, input cost is low and measurement and positioning precision height, speed of application is fast, efficiently solves many practical problemss such as existing sunshine reflex perplexs construction speed in the existing inclined structure of high-rise building work progress, the measurement and positioning precision is lower, construction quality is relatively poor.
Below by drawings and Examples, technical scheme of the present invention is described in further detail.
Description of drawings
Fig. 1 is a FB(flow block) of the present invention.
Fig. 2 is the take measurement of an angle installation position synoptic diagram of conversion equipment of the present invention.
Fig. 3 is the take measurement of an angle structural representation of conversion equipment of the present invention.
Fig. 4 carries out the installation position synoptic diagram of the preceding total powerstation observation of angle exchange sight line I for adopting the present invention.
Fig. 5 carries out the installation position synoptic diagram of angle exchange back total powerstation observation sight line II for adopting the present invention.
Description of reference numerals:
The 1-inclined structure of high-rise building; The 2-conversion equipment that takes measurement of an angle; The straight plate one of 2-1-rectangle;
The straight plate two of 2-2-rectangle; The 3-reflecting piece; The 4-horizontal ledge.
Embodiment
A kind of method for measuring and positioning inclined structure of high-rise building as shown in Figure 1 may further comprise the steps:
Selected and the setting-out of step 1, tested point: carry out at need selecting a location point of being convenient to total station survey as tested point on the outer lateral incline of inclined structure of high-rise building 1 of measurement and positioning, and selected tested point marked, described outer lateral incline is flat sides set or arcuate flanks; According to design drawing, measure the three dimensional space coordinate (x that setting-out goes out described tested point simultaneously 0, y 0, z 0) and described arcuate flanks in the outer tangent plane at described tested point place or described flat sides set respectively and the inclination angle beta between the surface level, described inclination angle beta<90 °.
During the described tested point of actual selection, should guarantee described tested point and described total powerstation and be erected between the emission prism on the backsight point all not have barrier.In the actual mechanical process, the setting height(from bottom) of described inclined structure of high-rise building 1 is more than the 50m, and outer tangent plane or the inclination angle beta described flat sides set and surface level between of described arcuate flanks at described tested point place is 15 °~75 °.
In the present embodiment, in conjunction with Fig. 2, Fig. 3, Fig. 4 and Fig. 5, the inclined structure of high-rise building of being installed 1 is put one's palms together devoutly more than the agent structure 74m of dagoba for the Famen Temple and 36 ° the back of the hand part of sloping inwardly, described inclined structure of high-rise building 1 is the steel skeleton construction of flat sides set for inclined-plane, the outside, and then the setting height(from bottom) of inclined structure of high-rise building 1 is that the inclination angle beta between 74m and itself and the surface level is 54 °.
Step 2, the conversion equipment 2 that takes measurement of an angle are laid: the conversion equipment 2 that will take measurement of an angle is laid on the described outer lateral incline, the described conversion equipment 2 that takes measurement of an angle comprises straight plate one 2-1 of rectangle and straight plate two 2-2 of rectangle that are laid on straight plate one 2-1 of rectangle, and the angle between straight plate one 2-1 of rectangle and straight plate two 2-2 of rectangle is α, wherein 45 °≤α≤135 °; When laying described angle conversion device, make straight plate one 2-1 of rectangle be tiled on the described flat sides set or be laid on the outer tangent plane of described arcuate flanks, and the center line of straight plate one 2-1 of rectangle parallels with the center line of described outer lateral incline, and make the downside of described tested point and straight plate one 2-1 of rectangle lay at grade, simultaneously to vertical range D between the center line of the center line of straight plate one 2-1 of rectangle and described outer lateral incline and the thickness of slab d of straight plate one 2-1 of rectangle 1Measure and record.
In the actual mechanical process, can be according to the setting height(from bottom) of inclined structure of high-rise building 1 and the inclination angle beta between inclined structure of high-rise building 1 and the surface level, angle α between straight plate one 2-1 of rectangle and straight plate two 2-2 of rectangle is adjusted accordingly in 45 °~135 ° scopes, particularly, inclination angle beta between inclined structure of high-rise building 1 and surface level is more little, and the angle α between straight plate one 2-1 of rectangle and straight plate two 2-2 of rectangle is big more; Vice versa.
In the present embodiment, when reality is laid angle conversion device 2, described angle conversion device 2 is laid on the termination, top of inclined structure of high-rise building 1, the center line of described angle conversion device 2 and the center line of described outer lateral incline coincide, and angle conversion device 2 be laid in described outer lateral incline directly over.Angle α=90 between straight plate one 2-1 of described rectangle and straight plate two 2-2 of rectangle °, and described " L " shape structure of conversion equipment 2 that take measurement of an angle for forming by straight plate one 2-1 of rectangle and straight plate two 2-2 of rectangle.Identical and the two the left and right sides side of the transverse width of straight plate one 2-1 of described rectangle and straight plate two 2-2 of rectangle aligns, reflecting piece described in the step 33 is laid on the downside center line of straight plate two 2-2 of rectangle, and the straight plate two 2-2 processing and fabricatings of straight plate one 2-1 of described rectangle and rectangle are one.Particularly: the described conversion equipment 2 that takes measurement of an angle is angle steel, and described angle steel is an equal angle.Described equal angle is of a size of L70mm * 70mm * 6mm, and its transverse width is 100mm, and described equal angle and the welding of described steel skeleton construction are fixing.In the actual mechanical process, the angle α between straight plate one 2-1 of rectangle and straight plate two 2-2 of rectangle can be adjusted 80 °~100 ° scopes, then the angle α between straight plate one 2-1 of rectangle and straight plate two 2-2 of rectangle is 80 °≤α≤100 °.
Step 3, reflecting piece 3 are laid: a smooth reflecting piece 3 on the downside of straight plate two 2-2 of rectangle, intersecting lens between the center of circle O that is shaped as circle and reflecting piece 3 of described reflecting piece 3 and the line between the described tested point and straight plate one 2-1 of rectangle and straight plate two 2-2 of rectangle is perpendicular, simultaneously between the center of circle O of reflecting piece 3 and the described tested point apart from d 0Measure and record.
In the present embodiment, described reflecting piece 3 is the laser reflecting piece.Described reflecting piece 3 is laid in the downside top of straight plate two 2-2 of rectangle, and the downside top correspondence of straight plate two 2-2 of described rectangle is provided with the horizontal ledge 4 that mounts for described reflecting piece 3.Described horizontal ledge 4 be shaped as square and described horizontal ledge 4 is an one with the straight plate two 2-2 processing and fabricatings of rectangle.
Step 4, locus are calculated: adopt conventional locus analytical approach, and in conjunction with the three dimensional space coordinate (x of described tested point 0, y 0, z 0), inclination angle beta, vertical range D and thickness of slab d 1And vertical range d 0(z), the angle of inclination between described reflecting piece 3 and the surface level is an alpha+beta for x, y to extrapolate the three dimensional space coordinate of the center of circle O of reflecting piece 3.
In the present embodiment, when carrying out the locus reckoning, with any location point on the inclined structure of high-rise building 1 is that true origin is set up rectangular coordinate system in space, and the rectangular coordinate system in space that utilization is set up is to the three dimensional space coordinate (x of the center of circle O of reflecting piece 3, y, z), the angle of inclination between described reflecting piece 3 and the surface level is that alpha+beta is calculated.In the present embodiment, angle of inclination alpha+beta=90 between described reflecting piece 3 and the surface level °+54 °=144 °.
Step 5, measurement and positioning: adopt conventional hanging device that inclined structure of high-rise building 1 is lifted, in the hoisting process, with reference to the three dimensional space coordinate (x that calculates the center of circle O that comes out in the step 5, y, z) and the angle of inclination between reflecting piece 3 and the surface level be alpha+beta, and adopt total powerstation and reflecting piece 3 and be laid in the match measuring method of use of reflective prism on the backsight point and synchro measure is carried out at the three dimensional space coordinate of center of circle O and the angle of inclination between reflecting piece 3 and the surface level and control, finally finish the accurate location and installation of inclined structure of high-rise building 1 according to the hoisting process that measurement result is tackled described hanging device mutually.
In the actual use, the inclined structure of high-rise building 1 that also can to adopt the external skew back face of the present invention be the circular arc side carries out angular transition, and the angle switching method is identical with operation steps.
The above; it only is preferred embodiment of the present invention; be not that the present invention is imposed any restrictions, everyly any simple modification that above embodiment did, change and equivalent structure changed, all still belong in the protection domain of technical solution of the present invention according to the technology of the present invention essence.

Claims (10)

1. method for measuring and positioning inclined structure of high-rise building is characterized in that this method may further comprise the steps:
Selected and the setting-out of step 1, tested point: carry out at need selecting a location point of being convenient to total station survey as tested point on the outer lateral incline of inclined structure of high-rise building (1) of measurement and positioning, and selected tested point marked, described outer lateral incline is flat sides set or arcuate flanks; According to design drawing, measure the three dimensional space coordinate (x that setting-out goes out described tested point simultaneously 0, y 0, z 0) and described arcuate flanks in the outer tangent plane at described tested point place or described flat sides set respectively and the inclination angle beta between the surface level, described inclination angle beta<90 °;
Step 2, the conversion equipment that takes measurement of an angle (2) are laid: the conversion equipment (2) that will take measurement of an angle is laid on the described outer lateral incline, the described conversion equipment that takes measurement of an angle (2) comprises the straight plate one of rectangle (2-1) and is laid in the straight plate two of rectangle (2-2) on the straight plate one of rectangle (2-1), and the angle between the straight plate two of straight plate one of rectangle (2-1) and rectangle (2-2) is α, wherein 45 °≤α≤135 °; When laying described angle conversion device, make the straight plate one of rectangle (2-1) be tiled on the described flat sides set or be laid on the outer tangent plane of described arcuate flanks, and the center line of the straight plate one of rectangle (2-1) parallels with the center line of described outer lateral incline, and make the downside of described tested point and the straight plate one of rectangle (2-1) lay at grade, simultaneously to the vertical range D between the center line of the center line of the straight plate one of rectangle (2-1) and described outer lateral incline and the thickness of slab d of the straight plate one of rectangle (2-1) 1Measure and record;
Step 3, reflecting piece (3) are laid: a smooth reflecting piece (3) on the downside of the straight plate two of rectangle (2-2), intersecting lens between the center of circle O that is shaped as circle and reflecting piece (3) of described reflecting piece (3) and the line between the described tested point and straight plate one of rectangle (2-1) and the straight plate two of rectangle (2-2) is perpendicular, simultaneously between the center of circle O of reflecting piece (3) and the described tested point apart from d 0Measure and record;
Step 4, locus are calculated: adopt conventional locus analytical approach, and in conjunction with the three dimensional space coordinate (x of described tested point 0, y 0, z 0), inclination angle beta, vertical range D and thickness of slab d 1And vertical range d 0(z), the angle of inclination between described reflecting piece (3) and the surface level is an alpha+beta for x, y to extrapolate the three dimensional space coordinate of the center of circle O of reflecting piece (3);
Step 5, measurement and positioning: adopt conventional hanging device that inclined structure of high-rise building (1) is lifted, in the hoisting process, with reference to the three dimensional space coordinate (x that calculates the center of circle O that comes out in the step 5, y, z) and the angle of inclination between reflecting piece (3) and the surface level be alpha+beta, and adopt total powerstation and reflecting piece (3) and be laid in the match measuring method of use of reflective prism on the backsight point and synchro measure is carried out at the three dimensional space coordinate of center of circle O and the angle of inclination between reflecting piece (3) and the surface level and control, finally finish the accurate location and installation of inclined structure of high-rise building (1) according to the hoisting process that measurement result is tackled described hanging device mutually.
2. according to the described method for measuring and positioning inclined structure of high-rise building of claim 1, it is characterized in that: when selecting described tested point in the step 1, should guarantee described tested point and described total powerstation and be erected between the emission prism on the backsight point all not have barrier.
3. according to claim 1 or 2 described method for measuring and positioning inclined structure of high-rise building, it is characterized in that: the angle conversion device described in the step 2 (2) is laid on the termination, top of inclined structure of high-rise building (1), the center line of described angle conversion device (2) and the center line of described outer lateral incline coincide, and angle conversion device (2) be laid in described outer lateral incline directly over.
4. according to claim 1 or 2 described method for measuring and positioning inclined structure of high-rise building, it is characterized in that: the setting height(from bottom) of inclined structure of high-rise building described in the step 1 (1) is more than the 50m, and outer tangent plane or the inclination angle beta described flat sides set and surface level between of described arcuate flanks at described tested point place is 15 °~75 °.
5. according to claim 1 or 2 described method for measuring and positioning inclined structure of high-rise building, it is characterized in that: the angle α between the straight plate two of straight plate one of rectangle described in the step 2 (2-1) and rectangle (2-2) is 80 °≤α≤100 °.
6. according to the described method for measuring and positioning inclined structure of high-rise building of claim 5, it is characterized in that: angle α=90 between the straight plate two of straight plate one of described rectangle (2-1) and rectangle (2-2) °.
7. according to the described method for measuring and positioning inclined structure of high-rise building of claim 6, it is characterized in that: " L " shape structure of the conversion equipment that takes measurement of an angle (2) described in the step 2 for forming by straight plate one of rectangle (2-1) and the straight plate two of rectangle (2-2).
8. according to the described method for measuring and positioning inclined structure of high-rise building of claim 7, it is characterized in that: the described conversion equipment that takes measurement of an angle (2) is an angle steel.
9. according to claim 1 or 2 described method for measuring and positioning inclined structure of high-rise building, it is characterized in that: the reflecting piece described in the step 3 (3) is the laser reflecting piece.
10. according to claim 1 or 2 described method for measuring and positioning inclined structure of high-rise building, it is characterized in that: when carrying out the locus reckoning in the step 4, with any location point on the inclined structure of high-rise building (1) is that true origin is set up rectangular coordinate system in space, and the rectangular coordinate system in space that utilization is set up is to the three dimensional space coordinate (x of the center of circle O of reflecting piece (3), y, z), the angle of inclination between described reflecting piece (3) and the surface level is that alpha+beta is calculated.
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