高层隔震结构单质点模型的地震响应单纯质点法研究

A study on pure mass model method for seismic response of single mass model of high-rise isolated structure

提出了可以快速计算高层隔震结构地震响应的单纯质点法。这种方法基于基底剪力及能量等效原则,建立简化单质点分析模型与原结构模型之间的转换关系及模型参数取值,引入能量平衡方法计算简化分析模型的包络反应,最后利用能量平衡原理及模型参数转换关系,来预测原高层隔震结构的各层地震反应包络值。给出了分析高层隔震结构加速度、隔震层及上部结构的层间变形、层间剪力等预测计算式。通过22层高层隔震结构工程实例来验证单纯质点法的有效性及计算精度,分析结果表明:简化计算结果与多质点模型时程分析法计算结果相当。所提计算方法计算量少,参数取值明确方便,同时具有良好的地震响应分析精度。

The pure mass model method （PMM） which can be utilized to calculate the earthquake responses quickly for highrise isolated structures is proposed in the paper. Firstly, the simplified single mass model, its transformation relationship with original structure and its parameter selection were determined according to equivalent criteria for base shear force and energy. And then, envelop responses of simplified model were calculated by introducing energy balance method. The method and model transformation relationship were used to predict the seismic response envelop values of every layer of the original structure. The prediction formula for acceleration, deformation and storey shear force of superstructure and isolation layer were given too. The effectiveness and accuracy of pure mass model method were verified by using a 22 stories high-rise isolated structure as an engineering example. Results show that computational results of simplified method and multi-mass model time history analysis method are comparable. The calculation amounts of the method proposed is less, and parameter selec- tion is clear and convenient with high precision analysis.