移动局部约束结构模态特性分析

Modal analysis of structures with moving local constraints

针对摩擦块-制动盘系统,研究移动局部约束-简化的环形梁结构的耦合系统动力学特性。采用非光滑基函数方法对系统降维求解,并引入线性弹簧代替局部约束。将环形梁偏微分方程转化为一组常微分方程,并结合移动载荷法的基本思想,分析移动局部约束结构的模态特性。结果表明:环形梁系统出现移动模态效应;局部约束使得模态函数出现局部峰值,剪力函数在局部约束处出现间断,同时表征载荷的位置。

Focusing on the friction block-brake disc system,local constraint on mobile-simplified coupled system dynamics annular beam structure.Numerical procedure is adopted using the order reduction method,the augment by non-smooth basis function with linear spring,applied to express the local effect.Then the PDE of the disc is reduced to a group of ODEs,in order to get the mode function and the time-varying responses.It is found that the moving modes exist to be the nature of moving load problems.The prominent part and discontinuity(jump)appear in the mode and shear force functions respectively at the position of the moving force.