结构-地基体系水平与扭转位移耦合效应研究

Research on horizontal and torsional displacement coupling effect of structure-soil system

采用动力理论对地基-结构非线性相互作用体系的振动方程进行了定性分析。基于多线性随动强化模型,采用非线性有限元法求解了基础和地基土之间的水平刚度与摇摆刚度,建立了结构-地基非线性相互作用体系的力学模型。利用拉格朗日能量法推导了结构水平位移和扭转相耦合的振动方程。采用多尺度法研究了结构-地基相互作用体系的主共振。通过分析不同结构与地基间的非线性耦合及相同结构与不同地基间的非线性耦合,揭示了结构体系出现的振动能量由高阶模态水平振动向低阶模态扭转振动传递的耦合效应现象,得到了结构体系的振动特性与能量传递规律。

In this paper,the vibration equation of the structure-soil nonlinear interaction system is qualitatively analyzed by using the modern dynamic theory.Based on the multi-linear kinematic hardening mode,the nonlinear finite element method is applied to the solution of horizontal and torsional stiffness for foundation and soil interaction system.And a mechanical model of the structure-soil nonlinear interaction system is established.The Lagrange energy method is used to derive the coupling vibration equation of the structural horizontal displacement and torsion.The primary resonance of the structure-soil nonlinear interaction system is studied by using the multiple scales method.By analyzing the nonlinear coupling interaction between different structures and soil,the coupling effect of structure system is revealed by appearing energy transfer from high order horizontal vibration to low order torsional vibration,and also the vibration characteristics and the behavior of energy transfer are obtained.