具有压电材料弹性环形板的屈曲

BUCKLING OF ELASTIC ANNULAR PLATE WITH PIEZOELECTRIC MATERIAL 1)

对在不同位置粘有任意多对压电片的弹性环形板在电压和径向压力作用下的轴对称屈曲进行了研究．根据压电效应的等效作用量，初参数法以及传递矩阵方法得到了环板屈曲的特征方程．对不同位置及不同宽度的压电片，计算了结构的屈曲载荷．并得到了稳定性边界曲线．

Because piezoelectric material has electromechanical effect of coupling,it has been applied to many important technical fields. It may be applied to the induction and control of integral intelligent structure system. After piezoelectric material is utilized, it may easily be applied to accurate monitor measurement of flexible structure, then the structure can be controlled effectively. Because there are piezoelectric material in structure, the research for integral structure became more complex and difficult. Wang and Roger studied equivalent action of piezoelectric piece on lamination plate, and gave location function of the strain which is generated by piezoelectric effect. It is simple and direct in research for piezoelectric structure, and it maybe applied to deformation and control of plate. In this paper, by the action of axial compression and voltage, the buckling of elastic annular plate with many piezoelectric lamellas is studied. Hypotheses about piezoelectric lamellas are as follows. a) Piezoelectric lamellas are glued on the surface of the plate firmly, and the influence of glue is not considered. b) All piezoelectric lamellas are of same transverse isotropic material and thickness. The piezoelectric strain coefficients are d 31 =d 32 , d 36 =0. c) The direction of polarization and the face of the plate are in right angle,and only the electric field intensity in the direction of polarization is considered. d) The stiffness of piezoelectric material makes no contribution to integral stiffness of structure. e) We only consider inverse piezoelectric effect of actuating components to the plate, and do not consider piezoelectric effect of deformations to the actuating components. The characteristic eqution of buckling on the annular plate is obtained by using the equivalent action of piezoelectric effect, initial parameters method and transitive matrix method. The buckling loads are calculated for piezoelectric lamellas with any width that are placed anywhere in the annular plate. The curve of the width of piezoelectric piece versus buckling load with the inner radius of piezoelectric piece fixed, the curve of the inner radius of piezoelectric piece versus buckling load with the outer radius of piezoelectric piece fixed,and the stable boundary curves are obtained.