结构对初始条件的动力响应的一种算法

An Algorithm for Computing the Dynamic Response of the Sturcture to the Initial Conditions

从标准坐标变换方程出发，引入广义逆矩阵的求解方法，提出结构对初始条件的动力响应的一种新算法．这种算法回避开结构质量矩阵，以截断频率和对应的模态参数为输入，通过截断标准振型长方矩阵［Φ］的直接广义逆阵求解，求得结构对初始条件的动力响应．这一方法可用于已得到结构低阶模态参数而需进一步通过计算获得结构对初始条件的动力响应这一类工程中实际存在的问题．算例表明，精度满足工程要求．

Proceeding from the normal coordinate transformation equation,this paper applies the generalized inversion of the matrix to compute the dynamic response of the structure to the innal conditions. This algorithm avoids using mass matrix of the structure but uses the cut-off frequency and the corresponding modal parameters as the input to compute the dynamic response of the structure'to the initial conditions by cutting off the generalized inversion of the normal vibration rectangular eigen-matrix. This method can be used to solve practical problems existing in such engineering projects as have already obtained low step modal parameter but needs computing the dynamic response of the structure to the initial conditions.Computing examples show that the accuracy of the method meets the requirements of the engineering projects.