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Article

Three-Dimensional Vibration Analysis of Rectangular Plates With Mixed Boundary Conditions

[+] Author and Article Information
D. Zhou

Department of Mechanics and Engineering Science, Nanjing University of Science and Technology, Nanjing 210014, People’s Republic of China

Y. K. Cheung, S. H. Lo, F. T. K. Au

Department of Civil Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong

J. Appl. Mech 72(2), 227-236 (Mar 15, 2005) (10 pages) doi:10.1115/1.1827250 History: Received July 23, 2003; Revised June 30, 2004; Online March 15, 2005
Copyright © 2005 by ASME
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Figures

Grahic Jump Location
Frequency parameters of symmetric modes in the thickness direction for square plates (a=b) fixed at two adjacent edges and partially fixed around a corner (b0=a0) with respect to the length ratio a0/a of the free boundaries (⋄ fundamental for h/b=0.25, □ second for h/b=0.25, ▵ third for h/b=0.25, ○ fundamental for h/b=0.2, × second for h/b=0.2, + fundamental for h/b=0.15)
Grahic Jump Location
The third frequency parameters of antisymmetric modes in the thickness direction for square plates (a=b) completely fixed at two adjacent edges and partially fixed around a corner (b0=a0) with respect to the length ratio a0/a of the free boundaries (⋄ h/b=0.05, □ h/b=0.1, ▵ h/b=0.15, ○ h/b=0.2, × h/b=0.25)
Grahic Jump Location
The second frequency parameters of antisymmetric modes in the thickness direction for square plates (a=b) completely fixed at two adjacent edges and partially fixed around a corner (b0=a0) with respect to the length ratio a0/a of the free boundaries (⋄ h/b=0.05, □ h/b=0.1, ▵ h/b=0.15, ○ h/b=0.2, × h/b=0.25)
Grahic Jump Location
Fundamental frequency parameters of antisymmetric modes in the thickness direction for square plates (a=b) completely fixed at two adjacent edges and partially fixed around a corner (b0=a0) with respect to the length ratio a0/a of the free boundaries (⋄ h/b=0.05, □ h/b=0.1, ▵ h/b=0.15, ○ h/b=0.2, × h/b=0.25)
Grahic Jump Location
A rectangular plate with mixed boundary conditions: (a) planform of the plate, (b) views of the quarter plate, (c) views of cubic domain after mapping

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