柔性多体系统动力学的并行迭代算法  

Parallel Iterative Algorithm Studies of Flexible Multibody System Dynamics

作　　者：孙卫[1] 周小平[2] SUN Wei ZHOU Xiaoping(Department of Applied Statistics and Science, Xijing College, Xi＇ an 710123, Shaanxi College of Mathematics and Software Science, Siehuan Normal University, Chengdu 610066, Sichuan)

机构地区：[1]西京学院应用统计与理学系,陕西西安710123 [2]四川师范大学数学与软件科学学院,四川成都61006

出　　处：《四川师范大学学报（自然科学版）》2016年第6期869-874,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11371289);陕西省自然科学基础研究计划项目(2016JM1032)

摘　　要：为了提高多体系统动力学数值计算的稳定性和精度,针对柔性多体系统动力学建模方式和求解算法问题,采用分类算法、迭加算法完成了柔性多体系统动力学模型求解,利用波形松弛技术和RK离散方法设计并实现了柔性多体系统的并行迭代算法,为了降低计算的复杂性改进这些迭代算法的收敛速度,提出了内外步并行迭代进程,并进一步证明了相应迭代算法的收敛性,完成了误差估计.In order to improve the stability and accuracy of multibody system dynamics calculation,the paper focuses on the modeling and algorithm for flexible multibody system dynamics.By using classification algorithm and iterative algorithm,the flexible multibody system dynamics model is solved.The parallel iterative algorithm is accomplished by the waveform relaxation technique and the Runge-Kutta method.In order to reduce the complexity of the calculation and improve the convergence speed of the iterative algorithm,the inner-outer step parallel iterative process has been proposed,and the convergence of the iterative algorithm is further proved,and the error estimate has been accomplished as well.

关 键 词：柔性 多体系统 波形松弛 并行进程 优化 

分 类 号：O193[理学—数学]