Levy-type solution for analysis of a magneto-electro-elastic panel

Jia He, Xuejiao Zhang, Hong Gong, H. Elhosiny Ali and Elimam Ali

Abstract

This paper studies electro-magneto-mechanical bending studying of the cylindrical panels based on shear deformation theory. The cylindrical panel is constrained with two simply-supported edges at longitudinal direction and two clamped boundary conditions at circumferential direction. The governing equations are derived based on the principle of virtual work in cylindrical coordinate system. Levy-type solution of the governing equations is derived to reduce two dimensional PDEs to a 2D ODEs. The reduced ordinary differential equation is solved using the Eigen-value Eigen-vector method for the clamped-clamped boundary condition. The electro-magneto-mechanical bending results are obtained to show that every displacement, rotation and electromagnetic potentials how change with changes of initial electromagnetic potentials and mechanical loads along longitudinal and circumferential directions.

Key Words

cylindrical panel; eigen-value eigen-vector method; electro-magneto-mechanical bending results; levy-type solution; shear deformation theory

Address

Jia He:College of Civil Engineering, Chengdu Aeronautic Polytechnic 610010, Sichuan, China Xuejiao Zhang:China Machinery International Engineering Design & Research Institute Co.,Ltd 410018, Jiangsu, China Hong Gong:College of Civil Engineering, Chengdu Aeronautic Polytechnic 610010, Sichuan, China H. Elhosiny Ali:1)Department of Physics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia 2)Research Center for Advanced Materials Science (RCAMS), King Khalid University, Abha 61413, P.O. Box 9004, Saudi Arabia 3)Physics Department, Faculty of Science, Zagazig University, 44519 Zagazig, Egypt Elimam Ali:Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia

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