基于衰减弦函数模型的强度非平稳特性对结构动力反应的影响

Effects of the structural dynamical reactions of the non-stationary property of intensity based on reduction string function model

采用衰减弦函数包线模型调制谐波信号得到强度非平稳激励信号,建立该激励下线性SDOF运动平衡方程,采用留数定理求解运动方程,得到强度非平稳特性对结构动力响应影响的解析表达式,研究激励强度非平稳特性对结构动力反应的影响规律,揭示峰值时刻不同以及强度非平稳度不同的激励信号对结构动力反应影响的规律。

The reduction string function envelop model is used to adjust harmonic function and obtain signals with non-stationary intensity,and establish the linear SDOF motion balance equation under these incentives.The residue theorem of complex function is adapted to solve the motion equation and obtain the analytical expression of the influence of non-stationary feature of intensity on structural dynamical reactions.This paper studied the influence law of the non-stationary property of incentive intensity on the structural dynamical reaction,andrevealed the different influence mechanism of incentive signals with different peak time and different non-stationary intensity on the structural dynamical reactions.