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中文摘要：
采用了非线性土力学模型,研究了结构在竖向地震作用下的动力响应规律.取用p=K1w-K3w3地基反应力模型,推导得到了结构的非线性运动方程.假设阻尼比为小量,用平均法求解运动方程的近似解析解.通过数值计算详细分析了结构的运动规律,特别是过渡阶段的运动规律.研究发现,考虑非线性效应后,位移和振动周期变大,运动的不规律性增强.同时发现随着地震强度的增加,振动的非线性行为更加显著.
英文摘要：
In this paper, a nonlinear soil dynamic model is used to study the dynamic response of rigid frame under vertical seismic action. The relationship between reaction force of soil and relative displacement of rigid structure is p = K1w - K3w3 , and the equilibrium equation of the structural rigid body is obtained by the dynamic D＇Alembert＇s principle. The approximate analytical solution of the generalized Duffing equation is obtained by means of the averaging method, and the motion regulation is analyzed in detail. It is found that the nonlinearity of the model increases the periodicity of vibration and the irregularity of motion. Also the seismic acceleration has a significant influence on the eharacterisrics of vibration.
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