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众所周知,在地震分析中对组合振型的极大值应用平方和开方(简称SRSS)的方法会引起显著的误差。但是,对重要建筑物这个方法目前仍在使用,本文的目的是在地震分析中对SRSS方法提出一个改进方案。本文提出的完全二次组合(简称CQC)法,在所有研究的例子中降低了振型组合的误差。该法在系统的各阶自然频率间隔较大时就退化为SRSS方法。因为完全二次组合法在计算量上增加得很少,所以在反应谱计算中可推荐用新方法来替换SRSS方法。
It is well-known that the method of applying square sum square (SRSS) to the maximum of the combined mode shapes in seismic analysis can cause significant errors. However, this method for important buildings is still in use. The purpose of this paper is to propose an improved solution to the SRSS method in seismic analysis. The full quadratic combination (abbreviated as CQC) method proposed in this paper reduces the error of mode combination in all studied cases. The method degenerates into the SRSS method when the natural frequency intervals of the various orders of the system are large. Because the complete quadratic combination method adds little to the computational complexity, a new method can be recommended to replace the SRSS method in the response spectrum calculation.