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本文提出了平面框架结构弹塑性地震反应分析的新方法——附加塑性荷载振型叠加法。该算法把等效初应变法与振型叠加法相结合求解结构的弹塑性动力响应。即把结构的塑性变形增量处理成一系列附加等效动荷载增量,而保持结构的刚度矩阵及振型向量不变,用振型叠加法求解结构在地震荷载及附加塑性荷载共同作用下动力响应。作者按照上述算法编制了微机应用程序,进行了算例分析,并与逐步积分法作了比较。
In this paper, a new method for the elasto-plastic seismic response analysis of plane frame structures is proposed. The algorithm combines the equivalent initial strain method with the mode superposition method to solve the elasto-plastic dynamic response of the structure. That is, the plastic deformation of the structure is incrementally processed into a series of additional equivalent dynamic load increments, while the stiffness matrix and the mode vector of the structure are kept unchanged. The vibration-type superposition method is used to solve the structure under the combined action of seismic load and additional plastic load. response. According to the above algorithm, the author developed a computer application program, analyzed the example, and compared it with the step-by-step integration method.