Analysis Of Thermal And Electric Nonliner Mechanical Behavior Of Circular Plate And Beam With Surface-bonded Piezoelectic Player

Piezoelectric material establishes a passage between nomal materials and intelligent ones. Therefore, the study of the mechanical behavior of the piezoelectric material components under various loads has played an important role in the field of engineering mechanics. In this paper, we mainly discuss and analyze the nonlinear behavior of the piezoelectric-layered elastic circular thin plate and the Euler beam under the action of the thermal-electric loads. The main contents are as follows:1. The nonlinear behavior of elastic circular plate subjected to thermal-electric loads.Based on the classical plate theory, the mathematical model of the piezoelectriclayered elastic circular thin plate under the action of thermal-electric loads is established, and the geometric nonlinear differential equations are derived. Use the shooting method for solving strongly nonlinearity considering two different boundary conditions, which are simply supported unmovably and clamped at the surroundings. We get buckling curves and critical loads of piezoelectric-layered elastic circular thin plate under the action of thermal-electric loads, and discuss the buckling characteristics and a change of critical load in the case of different Poisson ratio and inter-thickness ratio. Results show that the buckling of elastic circular thin plate under two kinds of loads is nonlinear, and for the effect of electric field, the critical thermal buckling load of circular plate has been rised and the post-buckling is delayed.2. The nonlinear behavior of Euler beam subjected to thermal-electric loads.Based on the geometrically nonlinear theory for axially extensible beams and Euler-Bernoulli beam theory, the mathematical model of the piezoelectric-layered Euler beam under the action of thermal-electric loads is established, and the geometric nonlinear differential equations of the thermal-electric loads are derived. Of the boundary conditions with two parallel sides simply supported unmovably, we use the shooting method to solve this strongly nonlinear boundary value problems to obtain numerical results. The buckling curves and critical loads of the piezoelectric-layered Euler beam under the action of the thermal-electric loads are obtained. It has been discussed about Euler beam buckling process and a change of critical load in the case of different length-thinness ratio, through the analysis on varying bending angle and deflection under this very two loads, from which tells that with an increase of the electric field strength, the bending rigidity and critical temperature are also increased.