摘要
传统的多体系统动力学的研究对象为确定性系统,然而工程中广泛的存在着不确定性问题.如设计公差、制造装配误差、摩擦磨损等导致零部件的几何尺寸产生变异;系统物理参数如阻尼、弹性模量等有时不能精确确定;边界条件、初始条件和载荷等也常常表现出不确定性.因此在计及不确定性因素的基础上进行多体系统动力学建模与仿真计算具有重要的实际意义.本文详细讨论了多体系统中不确定性参数的存在形式,并把这些参数划分为随机参数和模糊参数,给出了采用蒙特卡罗方法解算含随机参数的多体系统动力学方程的一般过程.以某型号卫星太阳能帆板为算例,验证了方法的正确性和有效性.
Dynamics of multibody systems is usually concentrated on determinate systems. However, Uncertainty exists in nearly all the engineering practice. Due to design tolerance, assemble error and wear, the dimension of some bodies can＇t be confirmed precisely. The damping constant, Young＇s modulus, boundary conditions, initial conditions and load are usually uncertain. So it is of great importance in studying the dynamics of multibody systems with uncertain parameters. The forms of variable uncertain parameters are classified in this paper and they are divided into probabilistic parameters and fuzzy parameters. The general solution by Monte Carlo method is introduced. A satellite solar array is presented as an illustrative example and the accuracy and effectiveness of the method are verified.
出处
《河北工业大学学报》
CAS
2005年第4期7-14,共8页
Journal of Hebei University of Technology
基金
国家863计划资助项目(2001AA501981-01)
