Efficient mode superposition algorithm for seismic analysis of non‐linear structures
Efficient mode superposition algorithm for seismic analysis of non‐linear structures
复制标题
非线性结构抗震分析的高效模态叠加算法
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
M. M. Hanna
中科院分区：
文献类型：
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作者：
R. Villaverde;M. M. Hanna
提出了一种在常规振型叠加法的框架下计算双线性滞回结构在地震动下反应的逐步积分法。这种方法在计算上是有效的，因为只需要几个模式就可以获得这种响应的准确估计，而且它不需要使用过小的时间步长来避免精度或稳定性问题。它的基础是，非线性系统运动方程中的非线性项可以被视为附加的外力，并且这样做可以将这样的运动方程解释为由修正的地面运动激励的等效线性系统的运动方程
A step-by-step integration method is proposed to compute within the framework of the conventional mode superposition technique the response of bilinear hysteretic structures subjected to earthquake ground motions. The method is computationally efficient because only a few modes are needed to obtain an accurate estimate of such a response, and because it does not require the use of excessively small time steps to avoid problems of accuracy or stability. It is developed on the basis that the non-linear terms in the equations of motion for non-linear systems may be considered as additional external forces, and the fact that by doing so such equations of motion can be interpreted as the equations of motion of an equivalent linear system, excited by a modified ground motion