Nonlinear Dynamic And Quasi-static Response For Shallow Conical Shells Due To Magneto-thermo-elastic Interaction

The problems of nonlinear dynamic and quasi-static response for shallow conical shellsunder a time-varying magnetic field are investigated. The dynamic and quasi-static responsesof displacement and stress for shallow conical shells are analyzed due tomagneto-thermo-elastic interaction.In Chapter Ⅰ, The researches of the history and development inmagneto-thermo-elastic field are introduced. And the definition, application and mechanicalresearch status and progress of the magneto-thermo-elastic theory are summarized. Finally,the content and investigating methods in this dissertation are introduced.In Chapter Ⅱ, the problem of nonlinear dynamic response for shallow conical shellsunder a time-varying magnetic field when temperature field, electromagnetic field and elasticfield are coupled is analyzed. The nonlinear governing equations of shallow conical shells arededuced under magneto-thermo-mechanical field.The electromagnetic governing equationsand temperature governing equations are solved by the separation of variables.The elasticfield governing equations are solved by Galerkin method and the4th Runge-Kutta to achievethe loads-displacement relation. The regularities of distribution of temperature, magneticfield strength stress and strain for shallow conical shells under a time-varying magneticfield are derived.In Chapter Ⅲ, the problem of nonlinear quasi-static response for Shallow ConicalShells under a time-varying magnetic field when temperature field, electromagnetic field andelastic field are coupled is analyzed. The nonlinear governing equation of shallow conicalshells is deduced under magneto-thermo-mechanical field. The basic governing equationsare solved by Galerkin method to achieve the loads-displacement relation. The regularities ofdistribution of stress and strain for Shallow Conical Shells under a time-varying magneticfield are derived.In Chapter Ⅳ, the whole paper is summarized and some useful conclusions areobtained. Then, farther investigations about this problem are prospected.