The Refined Theory Of The Special Orthotropic Piezoelectric Elastic Plates

Pate is a common part in engineering. The basic theory study is one of the most basic study of solid mechanics, and the board effective application in engineering is also a force field important topic of concern.Panels is a kind of special plate that can realize transformation between the mechanical energy and electrical energy, manufacturing cost lower, and widely used, so the research of piezoelectric elastic plates get people’s attention.Firstly, starting from the basic theory of elasticity, the general solution of special orthotropic material could be obtained by using the basic elastic equilibrium equation and Lur’e method. By discussing the uniqueness of the general solution, the HLN general solution and E-L general solution could be obtained. Then by using the general solution and the constitutive equation, balance equation, this paper could study the special orthogonal anisotropic tensile plate and special elaboration theory of orthotropic curved plate.For special orthotropic plate, the bending plate and the tensile plat of the material was studied.Firstly introduces the elastic general solution of the special orthotropic piezoelectric materials and the ellipse harmonic function, and gives the operator function of elliptic quasi harmonic functions. Then use the material constitutive equation and equilibrium equation, without any assumption, get the plate internal displacement, stress and electric displacement meet the precise equation, and then based on the Taylor expansion of operator functions, get the separation of each physical in the plate.