FREE VIBRATION OF FUNCTIONALLY GRADED, MAGNETO-ELECTRO-ELASTIC, AND MULTILAYERED PLATES  

作　　者：Chen Jiangyi Chen Hualing Pan Ernian 

机构地区：[1]School of Mechanical Engineering, Xi＇an Jiaotong University, Xi＇an 710049, China [2]Department of Civil Engineering, University of Akron, Ohio 44325-3905, USA

出　　处：《Acta Mechanica Solida Sinica》2006年第2期160-166,共7页固体力学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 50575172).

摘　　要：The state-space method is employed to evaluate the modal parameters of functionally graded, magneto-electro-elastic, and multilayered plates. Based on the assumption that the properties of the functionally graded material are exponential, the state equation of structural vibration which takes the displacement and stress of the structure as state variables is derived. The natural frequencies and modal shapes are calculated based on the general solutions of the state equation and boundary conditions given in this paper. The influence of the functionally graded exponential factor on the elastic displacement, electric, and magnetic fields of the structure are discussed by assuming a sandwich plate model with different stacking sequences.The state-space method is employed to evaluate the modal parameters of functionally graded, magneto-electro-elastic, and multilayered plates. Based on the assumption that the properties of the functionally graded material are exponential, the state equation of structural vibration which takes the displacement and stress of the structure as state variables is derived. The natural frequencies and modal shapes are calculated based on the general solutions of the state equation and boundary conditions given in this paper. The influence of the functionally graded exponential factor on the elastic displacement, electric, and magnetic fields of the structure are discussed by assuming a sandwich plate model with different stacking sequences.

关 键 词：functionally graded material magneto-electro-elastic plates modal shapes statespace method 

分 类 号：O34[理学—固体力学]