Research On Dynamical Behavior Of Soil-Nonlinear Structure Interaction System Considering Spatial Effect

In this paper,the nonlinear dynamical theories are used to study theinternal resonance of the elastic foundation-multiple degree nonlinearstructure interaction system under the nonlinear coupling of horizontaloscillation and torsion oscillation.The work of this paper are as follows: 1. A bilinear stiffness model is taken as a restoring force of theunsymmetrical structure,and a lumped parameter model is used to simulatethe viscoelastic halfspace,then the massless foundation- soil-structureinteraction model considering spatial effect is established.The Lagrangeenergy equation is used to build the nonlinear coupling equation ofhorizontal motion and torsion motion and the following research is based onthe equation. 2. Perturbation analysis are used to analyze the above equation,thesituations of the internal resonance are obtained. Through the analyses ofnumerical examples,the vibration characteristics and energy transferbehavior are discussed while some relation lies in the horizontal stiffnessand the torsion stiffness.And the numerical analysis is carried out.Theperturbation solutions and numerical solutions are compared. 3. Perturbation analysis are used to analyze situations of superharmonicresonance and subharmonic resonance under strong excitation.The nonlineardynamical behavior of superharmonic resonance and subharmonic resonanceis studied.The perturbation solutions and numerical solutions are compared. Primary resonance and superharmonic resonance and subharmonicresonance of nonlinear coupling system are studied,which are different fromlinear coupling system.Some helpful conclusions are obtained, and thesecan provide more profound theoretic reference for the earthquake(vibration)resistant design and analysis.