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中文摘要：
利用分析力学的Lagrange方程,推导了地下结构在水平地震作用下同时考虑结构的平动和转动效应的运动方程.为了简化计算,将地下结构假定为矩形刚体,地基采用温克尔弹性地基模型,且不考虑结构与周围土介质的阻尼作用.首先得到了地下结构与土相互作用时的动能和势能,然后利用分析力学的Lagrange方程推导出了结构的运动方程.通过算例研究地下结构在水平地震作用下考虑转动分量和不考虑转动分量时的受力差别.
英文摘要：
In this paper, the motion equations of underground structures are derived with consideration of translation and rotation of the structure under horizontal seismic excitation by using the Lagrange equation. In order to simplify the analysis, the underground structure is viewed as a rectangular rigid body and the Winkler elastic foundation model is adopted. The damping effect exerted by structure-soil interaction is neglected. After the determination of kinetic energy and potential energy of the structure-soil interaction, the motion equations is obtained by using Lagrange＇ s equation. Numerical example is given to demonstrate the effect of the rotation on the earth pressure on the structure.
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