Nonlinear thermal buckling and forced vibration of magneto-electro-elasticbeams with initial geometrical imperfection

G.L. She, H.B. Liu, L.L. Gan and Y.J. He

Abstract

The present work takes the magneto-electro-elastic (MEE) beams as the research object, considers the influence of initial geometrical imperfection, and studies the thermal buckling and forced vibration behavior of MEE beams. A nonlinear dynamic model for MEE beams is established based on Euler beam theory. The nonlinear partial differential equations are discretized using the analytical method to solve forced vibration and thermal buckling responses. Finally, the influence of different parameters on the thermal buckling and forced vibration behavior of MEE beams with initial geometrical imperfection is analyzed through numerical analysis. The results show that appropriately reducing the volume fraction of BaTiO3 improves the vibration suppression performance of the beam, while increasing the magnetic potential coefficient or decreasing the damping coefficient enhances the vibration suppression performance under different conditions. Increasing the magnetic potential and decreasing the electric potential amplify the buckling behaviors of MEE beams. However, the MEE beam model exhibits reduced sensitivity to buckling responses when the aspect ratio is small.

Key Words

forced vibration; initial geometrical imperfection; magneto-electro-elastic beams; thermal buckling

Address

G.L. She, L.L. Gan, Y.J. He: College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China H.B. Liu: College of Mechanical and Electric Engineering, Hunan University of Science and Technology, Xiangtan, 411201, China

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