考虑附加质量的旋转柔性梁动态可靠性分析

Dynamic reliability analysis of a rotating flexible beam with tip mass

在带有附加质量的旋转柔性梁系统动态可靠性分析中,为了提高其计算精度和计算效率,提出了一种基于单项式容积法(Monomial Cubature Rules,MCR)的随机响应面法(Stochastic Response Surface Method,SRSM)。该方法利用MCR的积分点作为样本点,并以此生成柔性梁系统动态响应的小样本对,基于这些样本对和SRSM回归理论,建立柔性梁系统动态响应可靠度隐式功能函数的代理模型,使用该代理模型对柔性梁系统进行动态响应可靠性分析。通过与传统的蒙特卡洛(Monte Carlo,MC)法和改进的概率配点法(Efficient Collocation Method,ECM)比较,表明了该方法在柔性梁系统动态响应可靠性分析中的高效率和高精度。在取相同变异系数的条件下,柔性梁截面宽度参数的分散性对系统动态响应的可靠性影响较大。

In order to improve the computational accuracy and efficiency of the dynamic reliability analysis of a rotating flexible beam system with additional mass,a monomial cubature rules-based stochastic response surface method（ MCR-SRSM） was proposed. A small set of sample pairs for the flexible beam dynamic response was generated by taking the integral points of MCR as sample points. Based on these sample pairs and the regression theory of SRSM,a surrogate model for the implicit feature function for the systematic dynamic response reliability was established. The dynamic response reliability analysis on the flexible beam system was executed by the surrogate model. The simulation results show that the computational precision and efficiency of the proposed method are higher than those of the known traditional Monte Carlo method and Efficient Collocation Method（ ECM）; under the same coefficients of variation,the dispersion of the cross-sectional width parameter of the flexible beam has a significant effect on the dynamic response reliability.