摘要
将假设模态法和随机响应面法相结合,对含有随机参数的旋转柔性梁进行运动功能可靠性分析.在柔性梁的纵向变形位移中计及耦合变形量的条件下,采用拉格朗日方程与假设模态法建立了该系统的刚柔耦合动力学模型,考虑系统物理参数和几何参数的随机性,基于随机响应面法对其进行可靠性分析.研究结果表明,与传统的蒙特卡罗法相比,三阶随机响应面法具有良好的计算精度,且效率更高.在取相同变异系数的条件下,质量密度的随机性对系统可靠性影响较大.
The assumed mode method and stochastic response surface method are combined to analyze the motion function reliability of a rotating flexible beam with random parameters.Firstly,based on Lagrange＇s equations and the assumed mode method,the rigid-flexible coupling dynamic model which takes the coupling term of the deformation in the expression of longitudinal deformation is studied.Then considering the physical and geometrical parameters under randomness,the probability analysis is made by the stochastic response surface method.The rationality and efficiency of the modeling and the method presented are verified by an example.The results demonstrate that the third order stochastic response surface method leads to good precision with acceptable time consumption compared with the Monte Carlo （MC） method,and that the randomness of density has a greater effect on the reliability of the system.
出处
《西安电子科技大学学报》
EI
CAS
CSCD
北大核心
2013年第5期141-147,共7页
Journal of Xidian University
基金
国家自然科学基金资助项目(51175398)
关键词
旋转柔性梁
拉格朗日方程
假设模态法
随机响应面法
可靠性分析
rotating flexible beam
Lagrange＇s equations
assumed mode method
stochastic response surface method
reliability analysis
