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将以绝对位移形式求解动力方程的直接求解法引入结构多点输入地震响应计算。与常用的将位移分解为拟静力绝对位移和相对动力位移的分解法相比,直接法的概念更为简洁,计算量小,且更适用于非线性计算。对于采用振型叠加法的直接法,仅使用少量低阶振型可能导致较大误差。引入静力修正方法,提出了高效的改进直接法。算例结果表明,修正直接法只需少量低阶振型即可获得足够的精度,精度与分解法相当。
The direct solution method of solving the dynamic equation in the form of absolute displacement is introduced into the seismic response calculation of multi-point structure input. Compared with the commonly used decomposition method that decomposes displacement into quasi-static absolute displacement and relative dynamic displacement, the direct method is simpler in concept, less in calculation and more suitable for nonlinear calculation. For the direct method using modal superposition, using only a few low-order modes may result in large errors. The static correction method is introduced and an efficient and direct method is proposed. The results show that the modified direct method can obtain enough precision with only a few low-order modes, the accuracy is equal to the decomposition method.