Rigid-Flexible Coupling Dynamics Of Rectangular Functionally Graded Thick Plates Undergoing Large Overall Motion

Complex mechanical systems in engineering are usually multi-body systems composed of multiple flexible composite components.Such as spacecraft solar panels,propeller blade,flexible mechanical arm,the aircraft engine blade,satellite antenna,and solar panels,etc.,can be simplified to a large range of motion of the flexible beam or flexible plate structure,each of the flexible components are in the process of movement may produce large elastic deformation.With the development of science and technology,the actual engineering on the properties of material demand is higher and higher,has the very high specific strength,specific stiffness,light quality,high temperature resistance,and can design the advantages of gradually replace traditional materials and composite materials are widely used structural designers.Therefore,the dynamic modeling of flexible structures with geometrical non-linear functional gradient materials is of challenging and research value.Classical laminated plate theory ignores the transverse shear deformation,sheet is only applicable to situation,research should be used for medium plate first order shear theory or higher order shear theory,considering the dynamics equations of transverse shear deformation is more complex,must use the numerical method for solving.It is of great practical significance and academic value to study the problem of rigid and flexible coupling for large scale motion function gradient plate.The work and achievements of this paper mainly include:This paper summarizes the research status,functional gradient materials and flexible thick plate of flexible multi-body system dynamics,and puts forward the research contents and objectives of this paper.In this paper,the dynamic and soft coupling dynamics of a large scale motion functionally graded plate are studied.Based on the first-order shear deformation theory,starting from the continuum theory,and the quadratic coupling deformation in the deformation displacement field,using the method of though laser functionally graded plate was deduced,the dynamics equation of the coupled to both can be applied to dynamic analysis of a plate,and can be used for medium plate dynamics analysis,this paper using the finite element method,using 20 dof of 4 nodes unit for discrete deformation field.Under different speed,different thickness of the center of the rigid body and flexible cantilever plate dynamics simulation,the dynamic equation is solved using Newmark time integration method,compared the established in this paper,based on the first-order shearing theory model and the model based on classical thin plate theory.The results show that with the increase of rotational speed,the shear item has greater influence on the dynamic behavior of the structure,and the structure is more flexible when considering transverse shear.The lateral deformation and velocity response frequency of the functionally gradient plate under different functional gradient index are studied,and the mechanical property of the structure changes with the increase of the function gradient index.The vibration characteristics of rotating flexible plates are studied using thin plate theory and thick plate theory respectively.The natural frequency of the modeling method based on thick plate theory is always lower than that of thin plate theory,and considering the shear effect can make the structure more flexible.