基于多项式混沌方法的柔性多体系统不确定性分析

摘要

研究了柔性多体系统的参数不确定性问题。采用绝对节点坐标方法来描述柔性体的变形,运用多项式混沌方法对柔性多体系统进行不确定性分析。通过理论分析与算例研究,对比了多项式混沌方法与广泛使用的Monte Carlo方法的精度和效率。结果表明,在相同精度要求下,多项式混沌方法在复杂柔性多体系统不确定性分析中效率更高,在工程分析中更具实用价值。%A parametrical uncertainty analysis of flexible multibody systems was presented.The deformations of flexible parts were modeled using ANCF.Polynomial chaos methods were employed to solve ANCF-based flexible multibody systems with random variables.Theoretical analysis and numerical examples were made to compare the accuracy and efficiency of polynomial chaos methods and Monte Carlo simulation method.Results show that polynomial chaos methods are more effective than Monte Carlo simulation to achieve the same accuracy in solving complex flexible multibody systems.