工程结构随机地震响应分析的大质量扩阶解法

On large mass expanding rank method of random earthquake response analysis in project structure

为简化求解平稳过滤白噪声地震动激励下工程结构动力响应的求解公式,提出一种大质量扩阶解法,将输入简化为白噪声模型。结合复振型分解理论,即可基于白噪声过程激励下单自由度结构动力响应的求解公式获得结构在复杂地震动作用下的随机动力响应,并指出该方法可避免繁琐的积分运算,求解速度快,值得推广应用。

In order to simplify the solving formula for the engineering dynamic response under the stationary filtered white noise seismic motions, the paper points out the large mass expanding rank method to simplify the input to be the white noise model, combines the complex mode decomposition theory, indicates the random dynamic response of the structure can be obtained in the complicated seismic effect for the solving formula of the single degree of freedom structure under the white-noise process, and points out the method can avoid the complicated integral operation and have speedy solution speed, so it can be further applied.