地基-非线性结构体系空间效应的主共振

Primary Resonance of Soil-Nonlinear Structure Interaction System Considering Spatial Effect

为了揭示地基-非线性结构相互作用体系的动力行为,采用现代动力理论对体系的振动方程进行了定性分析.假定非对称结构的恢复力为双线性模型,地基土为集中参数模型,建立了地基-结构空间相互作用模型.采用多尺度法研究了地基-结构相互作用空间效应的主共振,得到主共振的定常解并讨论了其稳定性.通过算例得到了体系水平刚度与扭转刚度成某一关系时的振动特性与能量传递规律.

For revealing the dynamic behavior of the soil-nonlinear structure interaction system, the vibration equation of interaction system is analyzed using modern dynamic theory, Suppose the restoring force model of the unsymmetrical structure be a bilinear stiffness model,and the viscoelastic halfspace a lumped parameter model, then the spatial computation model of the soil-structure interaction system is derived. The perturbation method is used to study the primary resonance of the soil-nonlinear structure interaction system considering spatial effect. The steady-state solution of the primary resonance is obtained, and the stability of solution is discussed, Through the analyses of numerical examples, the vibration characteristics and energy transfer behavior are obtained when some relation exists between the horizontal stiffness and the torsional stiffness.