大型航空产品工件受温度变化而膨胀变形等影响,这会对产品的精确数字化测量以及部件对接的精度产生重要影响。该文提出一种工件三维膨胀变形的激光跟踪仪转站参数优化方法,根据工件的三维数模,通过ANSYS有限元热分析计算工件初步热膨胀变形的中心点;建立考虑工件三维热膨胀变形的转站目标优化函数,对种群个体进行随机初始化赋值,并计算个体的适应值;采用粒子群优化算法(particle swarm optimization,PSO)对种群个体进行迭代优化,直到计算得到最优的跟踪仪转站参数。该方法充分考虑了大型工件受温度变化引起的工件三维热变形因素,提高了跟踪仪转站测量的精度。
The shapes of large aviation workpieces can deform due to temperature changes, which significantly impacts precise digital measurements of the product shape and the accuracy of component docking. This paper describes a method to optimize the transfer station parameters of a laser tracker to account for three-dimensional deformation of the workpiece. The center of a three-dimensional model of the workpiece was calculated using the ANSYS finite element thermal analysis to account for the thermal expansion of the workpiece. An objective function was then defined for optimizing the transfer station parameters that considered the three-dimensional thermal expansion of the workpiece. Numerous individuals in a population of models were randomly initialized to calculate the adaptive values for each individual. The particle swarm optimization (PSO) algorithm was then used to iteratively optimize the individuals in the population to obtain the optimal tracking transfer parameters. This method takes into account the three-dimensional thermal deformation of large workpieces caused by temperature changes to improve the tracker measurement accuracy.
[1] ARUN K, HUANG T, BLOSTEIN S. Least-squares fitting of two 3-D point sets [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1987, 9(5): 698-700.
[2] HORN B K P, HILDEN H M, NEGAHDARIPOUR S. Closed-form solution of absolute orientation using orthonormal matrices [J]. Journal of the Optical Society of America A, 1988, 5(7): 1127-1135.
[3] WALKER M W, SHAO L J, VOLZ R A. Estimating 3-D location parameters using dual number quaternions [J]. CVGIP: Image Understanding, 1991, 54(3): 358-367.
[4] 管官, 林焰, 申玫, 等. 考虑工程约束的船体分段测量点集匹配方法[J]. 哈尔滨工程大学学报, 2013, 34(5): 541-548. GUAN G, LIN Y, SHEN M, et al. Point registration algorithm for hull block measurment with engineering constraints [J]. Journal of Harbin Engineering University, 2013, 34(5): 541-548. (in Chinese)
[5] 俞慈君, 李江雄, 余锋杰, 等. 带工程约束的点匹配算法[J]. 机械工程学报, 2010, 46(5): 183-190. YU C J, LI J X, YU F J, et al. 3D points registration algorithm with engineering constraints [J]. Journal of Mechanical Engineering, 2010, 46(5): 183-190. (in Chinese)
[6] PREDMORE C R. Bundle adjustment of multi-position measurements using the Mahalanobis distance [J]. Precision Engineering, 2010, 34(1): 113-123.
[7] 王青, 程亮, 程志彬, 等. 基于容差约束的机翼最优位姿评价算法[J]. 机械工程学报, 2015, 51(19): 124-130. WANG Q, CHENG L, CHENG Z B, et al. Optimized position and orientation evaluation of wing based on tolerance constraints in aircraft assembly [J]. Journal of Mechanical Engineering, 2015, 51(19): 124-130. (in Chinese)
[8] XU Z Y, WU B Z, ZHANG M, et al. Measurement station planning of single laser tracker based on PSO [C]//201521st International Conference on Automation and Computing. Glasgow, UK: IEEE, 2015: 393-398.
[9] 俞慈君, 宋凯, 李江雄, 等. 基于Levenberg-Marquardt算法的线性热变形补偿系数矩阵优化[J]. 浙江大学学报(工学版), 2016, 50(6): 1056-1064. YU C J, SONG K, LI J X, et al. Optimization of linear thermal deformation compensation coefficient matrix based on Levenberg-Marquardt algorithm [J]. Journal of Zhejiang University (Engineering Science), 2016, 50(6): 1056-1064. (in Chinese)
[10] MUÑOZ P P, GARCÍA J A A, MAZO J S. Analysis of the initial thermal stabilization and air turbulences effects on Laser Tracker measurements [J]. Journal of Manufacturing Systems, 2016, 41: 277-286.
[11] 黄鹏, 王青, 李江雄, 等. 激光跟踪仪三维坐标转换综合优化方法[J]. 计算机集成制造系统, 2015, 21(11): 2912-2920. HUANG P, WANG Q, LI J X, et al. Comprehensive optimization for three-dimensional coordinate transformation of laser tracker [J]. Computer Integrated Manufacturing Systems, 2015, 21(11): 2912-2920. (in Chinese)
[12] ZHAN Z H, ZHANG J, LI Y, et al. Adaptive particle swarm optimization [J]. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2009, 39(6): 1362-1381.
[13] YU T T, CAI H X. The prediction of the man-hour in aircraft assembly based on support vector machine particle swarm optimization [J]. Journal of Aerospace Technology and Management, 2015, 7(1): 19-30.