Method for measuring space rotating curved surface with microdelta barycentric coordinates as objective point
Method for measuring space rotating curved surface with microdelta barycentric coordinates as objective point
 CN 101,403,611 A
 Filed: 11/14/2008
 Published: 04/08/2009
 Est. Priority Date: 11/14/2008
 Status: Active Application
First Claim
1. , a kind of method that is impact point measurement space surface of revolution with little triangle core coordinate is characterized in that described method comprises the steps:
 1) determine the measurement range of space surface of revolution, the span of the polar radius R of the subpoint of point on coordinate plane on the surface of revolution of promptly described space, and in described scope, choose a plurality of polar radius R;
2) at each polar radius R, make up a plurality of little triangles and calculate the normal vector on its determined plane, with its barycentric coordinates is impact point, utilization equal indicative method is measured a curve on the surface of revolution of space, described little triangle is projected as an equilateral triangle on coordinate plane, and the polar radius of one of them summit or the subpoint of this legofmutton center of gravity on coordinate plane is R.
Chinese PRB Reexamination
Abstract
The invention discloses a space rotation surface measurement method by using a micro triangle gravity coordinate as an object point. The method comprises the steps of: constructing a coordinate system according to the space rotation surface; determining the measurement range of the space rotation surface; and selecting a plurality of polar radii Rs in the range; aiming at each polar radius R, constructing a plurality of micro triangles to calculate the plane normal vector, and calculating the gravity coordinates, and the gravity is regarded as an object point, using subdegree method to measure each curve in the space rotation surface; generating datum file consistent with the professional software to read; and analyzing the value range of the equilateral triangle height d through the standard ball experiment. Adopting the method that the gravity coordinates are regarded as the object point can measure the space rotation surface, and the measuring precision is high.

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No References
9 Claims

1. , a kind of method that is impact point measurement space surface of revolution with little triangle core coordinate is characterized in that described method comprises the steps:

1) determine the measurement range of space surface of revolution, the span of the polar radius R of the subpoint of point on coordinate plane on the surface of revolution of promptly described space, and in described scope, choose a plurality of polar radius R; 2) at each polar radius R, make up a plurality of little triangles and calculate the normal vector on its determined plane, with its barycentric coordinates is impact point, utilization equal indicative method is measured a curve on the surface of revolution of space, described little triangle is projected as an equilateral triangle on coordinate plane, and the polar radius of one of them summit or the subpoint of this legofmutton center of gravity on coordinate plane is R.


2. the method that is impact point measurement space surface of revolution with little triangle core coordinate as claimed in claim 1 is characterized in that, described method also comprised step before the measurement range of determining the space surface of revolution:
0) sets up coordinate system according to described space surface of revolution.

3. the method that is impact point measurement space surface of revolution with little triangle core coordinate as claimed in claim 2 is characterized in that described method also comprises:

3) generate data file, form meets the reading format of professional software; 4) span by the high d of this equilateral triangle of standard ball experimental analysis.


4. the method that is impact point measurement space surface of revolution with little triangle core coordinate as claimed in claim 3, it is characterized in that, described step 0) in, if the Z axle is the rotation center of space surface of revolution to be measured, described polar radius R is the polar radius of the subpoint of point on XOY plane on the surface of revolution of space.

5. the method that is impact point measurement space surface of revolution with little triangle core coordinate as claimed in claim 4, it is characterized in that, in described step 1), described a plurality of polar radius R are one group of arithmetic progression, and the tolerance of this ordered series of numbers is a measurement variable quantity default in the measuring machine.

6. as claim 4 or the 5 described methods that are impact point measurement space surface of revolution with little triangle core coordinate, it is characterized in that described step 2) in, the measurement of a curve on the surface of revolution of space is further comprised the steps:

20) set or measure the starting point of described curve and the coordinate parameters of terminal point; 21) determine the high d of equal indicative variable quantity θ and
described " equilateral triangle ";22) number M of measurement point on the calculating curve to be measured; 23) definition counting variable j, j=0; 24) closing measuring needle is closed the footpath compensation, selected direction cosine perpendicular to the projecting plane; 25) measure N _{j}The point M1 of position _{J+1} 26) measure N _{j}The point M2 of position _{J+1} 27) counting variable j=j+1; 28) whether judge j greater than 2, if j be not more than 2 return step
25) continue to carry out;29) start chaining pin and close the footpath compensation; 2A) calculate by M1 _{J1}, M2 _{j}And M2 _{J2}3 miniature legofmutton barycentric coordinates G that constituted are with the normal vector on its determined plane;
2B) with center of gravity G be the j2 point of a curve on the impact point measurement space surface of revolution; 2C) whether judge j, if j less than M, then returns step 24 more than or equal to M) continue to carry out.


7. the method that is impact point measurement space surface of revolution with little triangle core coordinate as claimed in claim 6 is characterized in that, described some M1 _{J+1}The polar radius R of the subpoint on XOY plane equals R1, described step 25) further comprise following steps:

250) by formula Calculation level M1 _{J+1}The polar angle of the subpoint on XOY plane 251) according to the polar angle of this spot projection point With polar radius R1, calculation level M1 _{J+1}X coordinate and Y coordinate;
252) judge whether j equals 0, if j be not equal to 0 skip to step 253 '"'"'); 253) determine M1 _{J+1}Z coordinate z1 _{J+1}, skip to step
254);
253 '"'"') some M1 _{J+1}Z coordinate z1 _{J+1}=z1 _{j} 254) according to a M1 _{J+1}Coordinate adjust the target location of measuring machine chaining pin;
255) measure a M1 by measuring machine _{J+1}Accurate coordinates position M1 _{J+1}(x1 _{J+1}, y1 _{J+1}, z1 _{J+1}).


8. the method that is impact point measurement space surface of revolution with little triangle core coordinate as claimed in claim 7 is characterized in that described step 26) further comprise following steps:

260) calculation level M2 _{J+1}The polar radius R3 of the subpoint on XOY plane;
261) according to a M2 _{J+1}The polar angle of the subpoint on XOY plane With polar radius R3 calculation level M2 _{J+1}X coordinate and Y coordinate;
262) some M2 _{J+1}Z coordinate z2 _{J+1}=z1 _{J+1} 263) according to a M2 _{J+1}Coordinate adjust the target location of measuring machine chaining pin;
264) measure a M2 by measuring machine _{J+1}Accurate coordinates position M2 _{J+1}(x2 _{J+1}, y2 _{J+1}, z2 _{J+1}).


9. the method that is impact point measurement space surface of revolution with little triangle core coordinate as claimed in claim 8 is characterized in that described step 22) further comprise the steps:

220) read the starting point of curve to be measured and the polar angle parameter of terminal point, both And 221) according to formula Calculate the number M of measurement point on the curve to be measured.

Specification(s)