Nonlinear Mechanical Behavior Analysis Of FGM Beam And Plate Structure Under Non-conservative Force In Temperature Field

Functionally graded material is a new type of hybrid material.In engineering practice,FGM is usually composed of two materials,which are ceramic and metal.This material follows a thickness direction,and its internal composition,structure and function change continuously in a gradient according to a power exponential function.This kind of material has no obvious abrupt change in interface and performance,which can effectively alleviate the phenomenon of stress concentration.Functionally graded material has the excellent properties of both ceramic and metal,so this composite material can work in extremely complex environments,can resistance to high temperature environment,high strength.This kind of composite material can not only meet the requirements of component work,but also ensure the safety of the project.Due to its good comprehensive performance,it has been widely used as a structural component working in high temperature and harsh environment,and has attracted much attention in practical projects sunch as aerospace,photoelectric and nuclear energy.There are many researches on the mechanical behavior of beam and plate structures under conservative mechanical loads,and the mechanical behavior under non-conservative loads is also one of the main contents of mechanical research.From the existing studies,it is found that non-conservative systems are less than conservative systems research.Researches on the mechanical behavior of beam and plate structures under non-conservative loads takes into account the effects of thermal environment factors are very few.In this paper,the nonlinear mechanical behavior of FGM beams and circular plates subjected to non-conservative forces in a temperature field is investigated.The governing equations of beams and circular plates under non-conservative forces are derived using the energy variation principle.Using the shooting method on the corresponding boundary conditions,the equilibrium path curves of the beam and the plate structure under non-conservative loads are drawn under uniform and non-uniform heating.The effects of material gradient properties parameters,boundary conditions and temperature on the mechanical behaviors of beams and plates such as bending and buckling are investigated in detail.1.Introduce the concept,research background,research status and significance on FGM.2.Based on the geometric non-linear theory of extensible beams,considering the combined action of temperature and non-conservative loads.Research the nonlinear mechanical behavior on the functionally graded material beam composed of ceramic and metal under uniform and non-uniform heating fields by shooting method.The governing equations of the problem are derived using the energy variation principle,and the equilibrium path curves of FGM beams under different uniform heating and non-uniform heating are drawn.The effects boundary conditions,different heating fields and gradient indices on the buckling,post-buckling and bending behavior of FGM beams are analyzed and discussed in detail.3.Based on the classical plate theory,the nonlinear mechanical behavior of buckling or bending under the action of follower force is analyzed by using the shooting method for the functionally graded material(FGM)circular plate.The governing equations of the functionally graded material(FGM)circular plate under the influence of non-conservative forces in the temperature is established,and then governing equations and boundary conditions of the FGM circular plate are dimensionally normalized.under uniform heating and non-uniform heating fields,the relationship of the FGM circular plates under non-conservative loads in a graph of between the central deflection and loads is given.Factors affecting over-buckling and bending behavior of non-conservative circular plates,such as uniform and non-uniform temperature rise,material gradient index,are discussed.This problem is degraded into a mechanical behavior problem of a uniform plate in an athermal environment,and compared with the results of existing literature,the applicability and accuracy of the shooting method are verified.The research results of this paper can provide theoretical basis and effective numerical results for the research of nonlinear mechanical problems of functionally graded material in thermal environment under non-conservative loads.