The comparative performance of seismic response spectrum combination rules in building analysis
The comparative performance of seismic response spectrum combination rules in building analysis
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地震反应谱组合规则在建筑分析中的比较性能
DOI：
10.1002/eqe.4290110504
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发表时间：
1983
影响因子：
4.5
通讯作者：
K. Kasai
中科院分区：
文献类型：
--
作者：
B. Maison;C. F. Neuss;K. Kasai
采用反应谱法和时程分析法计算了一栋15层钢框架结构的两个数学模型在三种地震作用下的峰值动力反应。所研究的模型是：“规则”建筑物，其中刚度中心和质量中心重合，导致在响应的每个分量方向上具有良好分离的周期的非耦合模式;以及“不规则”建筑物，其中质量偏离建筑物的刚度中心，导致具有具有紧密间隔的周期的平移模式的耦合模式。讨论了四种反应谱模态组合规则，并将其用于峰值反应的预测：（1）平方根和法（SRSS）;（2）双和组合法（DSC）;（3）完全二次组合法（CQC）;（4）绝对和法（ABS）。将反应谱结果与相应的峰值时程值进行比较，以评估不同组合规则的精度。DSC和CQC方法为规则和不规则建筑物模型提供了良好的峰值响应估计。SRSS方法为规则建筑物提供了良好的峰值响应估计，但在不规则建筑物响应估计中产生了显着误差。不规则建筑物结果中的差的精度归因于具有紧密间隔的周期的耦合模式的影响。可以得出结论，DSC和CQC方法产生的响应估计的等效精度。这两种方法都推荐用于一般用途。除了DSC和CQC规则，SRSS方法推荐用于周期间隔较近的耦合模态不主导响应的系统。
The peak dynamic responses of two mathematical models of a fifteen-storey steel moment resisting frame building subjected to three earthquake excitations are computed by the response spectrum and time history methods. The models examined are: a ‘regular’ building in which the centres of stiffness and mass are coincident resulting in uncoupled modes with well-separated periods in each component direction of response; and an ‘irregular’ building with the mass offset from the stiffness centre of the building causing coupled modes with the translational modes having closely spaced periods. Four response spectrum modal combination rules are discussed and are used to predict the peak responses: (1) the square root of the sum of the squares (SRSS) method; (2) the double sum combination (DSC) method; (3) the complete quadratic combination (CQC) method; and (4) the absolute sum (ABS) method. The response spectrum results are compared to the corresponding peak time history values to evaluate the accuracy of the different combination rules. The DSC and the CQC methods provide good peak response estimates for both the regular and irregular building models. The SRSS method provides good peak response estimates for the regular building, but yields significant errors in the irregular building response estimates. The poor accuracy in the irregular building results is attributable to the effects of coupled modes with closely spaced periods. It is concluded that the DSC and CQC methods produce response estimates of equivalent accuracy. Both methods are recommended for general use. In addition to the DSC and CQC rules, the SRSS method is recommended for systems where coupled modes with closely spaced periods do not dominate the response.