Energy Finite Element Analysis For Mid-high Frequency Vibration Of Composite Laminate Plate In Thermal Environment

In recent years,the research of hypersonic vehicles has developed rapidly.The main environment facing the aircraft during the service is the high temperature and high sound pressure environment caused by aerodynamic heating.And there is more demand for the medium and high frequency vibration environment indication for structures in the thermal environment.At present,in the middle and low frequency field,the Finite Element Analysis(FEA)calculation in the thermal environment has been developed,not only the derivation of the control equation,but also the thermal response numerical simulation.In the middle and high frequency field,the Statistical Energy Analysis(SEA)had also been a widely range of application.However,the statistical energy method cannot calculate the internal response of the structure and there is no mature thermal environment calculation method.And also,the traditional finite element method cannot predict the high frequency response well.Therefore,it is urgent to study the high frequency vibration characteristics of the thermal environmentFor the medium and high frequency field structure vibration environment indication problems,it is mostly based on energy method.Statistical Energy Analysis(SEA),as a mature application of energy method,has made great progress.However,the Statistical Energy Analysis divides the system into various subsystems.It can only get the response of the subsystems,but cannot get the response of the specific location.The Energy Finite Element Analysis(EFEA)is here to overcome these shortcomings.At present,the application of Energy Finite Element Analysis(EFEA)in the basic structure has been developed,and it has been widely applied in the aspects of isotropic materials and composites without considering the thermal environment.However,energy finite element method research,in the thermal environment of composite materials is still to be developed.In this paper,the basic formula of energy density of composite laminate plate under thermal environment is deduced by Energy Finite Element Analysis.It is hoped that this method can be used to study the mid-high frequency field in the thermal environment for composite materials.Therefore,this paper first studied the basic formula of the Energy Finite Element Analysis,and validates the engineering application of the method at room temperature.Then,according to the basic theory of Energy Finite Element Analysis,the isotropic materials are studied under the thermal environment.Finally,this paper focuses on the basic Energy Finite Element Method of composite laminates in thermal environment.Without considering the influence of temperature,the FEA response is calculated by MSC.Nastran using modal superposition method and SEA response is calculated by VA-One,are all compared and verified to EFEA solution.In thermal environment,the response results were compared and verified to modal superposition method of.In addition,the thermal environment induced response changes of the structure is compared.As the current Energy Finite Element Analysis method is still in the complementary stage,the method in a variety of basic structure has yet to continue to expand.In this paper,the basic formula of Energy Finite Element Analysis of composite laminate plate under thermal environment is deduced,which promotes the high frequency research in the thermal environment of composite materials and has very important guiding significance for practical engineering application.