Nonlinear Vibration,passive Elimination And Isolation Of Elastic Laminated Structures

Due to its excellent performance,the laminated structure has been widely used in engineering fields,such as the aerospace,the ocean engineering,the architecture and the road construction.Pavements composed of the soil layer,the concrete layer and the asphalt layer,wings composed of the duralumin skin layer and the honeycomb sandwich layer,etc are typical applications.However,the complex external environment will generate the structural damage or even destruction to these engineering structures.Most of these drastic vibrations show significant nonlinear characteristics.Therefore,the research on nonlinear vibration and control of elastic laminated structures is very useful in engineering.Aiming at the typical laminated structure in engineering,the nonlinear response of the elastic laminated structure on the nonlinear foundation and the passive control are concerned.Firstly,the dynamic model of elastic laminated structures on the nonlinear foundation under a moving excitation is established by using the beam model and the plate model,respectively.The criteria of judging the convergence of the Galerkin truncation is proposed based on the natural frequency of the linear derived systems.The direct numerical method verifies the effectiveness of the proposed criteria.Secondly,the coupled dynamic model of the elastic laminated structure on the nonlinear foundation together with a vehicle model is established.The influence of the coupling parameters on the dynamic response is discussed.By comparing responses of the laminated beam and the laminated plate with different geometric sizes,the effective range of transforming the elastic laminated structure model on the nonlinear foundation into the laminated beam model is clarified.In addition,the multi-mode nonlinear bending vibration isolation of the elastic laminated beam is studied.Responses of different modes with the elastic support boundary are given analytically.The vibration transmissibility is defined.The transfer law of vibration isolation parameters to different modes is studied,which is verified by the analytical method.Finally,the inertial nonlinear energy sink(NES)is introduced,and the dynamic model of the discrete-continuous nonlinear coupling is established.The passive vibration control of the multi-mode transverse nonlinear vibration for the elastic laminated plate is studied.The numerical results show that the inertial nonlinear vibration eliminator can effectively suppress multiple resonant peaks of laminated plates.The vibration absorber does not change the resonance frequency of the laminated structure.The numerical results are verified by the analytical results.In summary,the proposed Galerkin truncation convergence criteria will quickly ensure the accuracy of vibration response analysis for elastic laminated structures on the nonlinear foundation.Accurate coupled vibration analysis can guide the design of elastic laminated structures on nonlinear foundations under the moving load.The dynamic analysis and the parameter influence research of the passive vibration isolation and elimination have important application value to improve the stability and safety of elastic laminated structures in engineering application.