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为了简化基于能量平衡的推覆分析,考虑高阶模态影响同时提高计算效率,提出了组合法和包络法。组合法采用将推覆分析解与高阶弹性解模态组合的方式,而包络法则将推覆分析解与整体弹性解进行包络处理。选取典型地震动,对9层和20层平面偏心结构进行响应分析,并与非线性时程分析、仅考虑基本模态的基于能量平衡推覆分析结果进行比较。结果表明:组合法和包络法能较好考虑高阶模态的影响,对扭转刚性、扭转柔性结构模型,组合法和包络法对质心处的位移响应预测较好,包络法在刚性边界处的位移响应预测较准而组合法在柔性边界处的位移响应预测较准,组合法对底层位移响应的预测普遍高于包络法,两方法对9层结构的响应预测比20层更准确。
In order to simplify the push analysis based on energy balance, considering the influence of high-order modes and improving the computational efficiency, the combination method and envelope method are proposed. The combination method uses a combination of push analysis and high-order elastic modal decomposition. The envelope method applies push analysis and global elastic solution to envelope. The typical ground motions were selected to analyze the response of 9- and 20-plane planar eccentric structures, and compared with nonlinear time-history analysis and energy-balanced pushover analysis results that consider only basic modalities. The results show that the combined method and envelope method can better consider the effects of higher-order modes. The torsional stiffness, torsion-flexible structural model, combination method and envelope method have good prediction of the displacement response at the center of mass. The envelope method is at the rigid boundary. The displacement response prediction is more accurate and the displacement response prediction of combination method is more accurate at the flexible boundary. The prediction of the bottom displacement response by the combination method is generally higher than the envelope method. The response prediction of the two methods to the 9-layer structure is more accurate than the 20 layer prediction.