ANALYSIS OF THE DYNAMIC STABILITY OF ELECTRICAL GRADED PIEZOELECTRIC CIRCULAR CYLINDRICAL SHELLS  

作　　者：ZhuJunqiang ShenYapeng ChenChangqing 

机构地区：[1]TheStateKeyLaboratoryofMechanicalStructuralStrengthandVibration,SchoolofCivilEngineeringandMechanics,Xi＇anJiaotongUniversity,Xi＇an710049,China

出　　处：《Acta Mechanica Solida Sinica》2004年第2期113-120,共8页固体力学学报（英文版）

基　　金：Project supported by the the Natural Science Foundation of China (Nos. 10132010 and 50135030).

摘　　要：A system of Mathieu–Hill equations have been obtained for the dynamic stability analysis of electrical graded piezoelectric circular cylindrical shells subjected to the combined loading of periodic axial compression and radial pressure and electric ?eld. Bolotin’s method is then employed to obtain the dynamic instability regions. It is revealed that the piezoelectric e?ect, the piezoelectric graded e?ect and the electric ?eld only have minor e?ect on the unstable region. In contrast, the geometric parameters, the rigidity of constituent materials and the external loading play a dominant role in determining the unstable region.A system of Mathieu–Hill equations have been obtained for the dynamic stability analysis of electrical graded piezoelectric circular cylindrical shells subjected to the combined loading of periodic axial compression and radial pressure and electric ?eld. Bolotin’s method is then employed to obtain the dynamic instability regions. It is revealed that the piezoelectric e?ect, the piezoelectric graded e?ect and the electric ?eld only have minor e?ect on the unstable region. In contrast, the geometric parameters, the rigidity of constituent materials and the external loading play a dominant role in determining the unstable region.

关 键 词：dynamic stability piezoelectric effect functionally graded material circular cylin-  drical shell 

分 类 号：TB34[一般工业技术—材料科学与工程] TB301