Analysis of the Dynamic Stability of Electrical Graded Piezoelectric Circular Cylindrical Shells |
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Authors: | Junqiang Zhu Yapeng Shen Changqing Chen |
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Affiliation: | (1) The State Key Laboratory of Mechanical Structural Strength and Vibration, School of Civil Engineering and Mechanics, Xian Jiaotong University, 710049 Xian, China |
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Abstract: | 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 field. Bolotins method is then employed to obtain the dynamic instability regions. It is revealed that the piezoelectric effect, the piezoelectric graded effect and the electric field only have minor effect 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. |
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Keywords: | dynamic stability piezoelectric effect functionally graded material circular cylin- drical shell |
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