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Technical Briefs

Buckling and Vibration of Elastically Restrained Standing Vertical Plates

[+] Author and Article Information
S. K. Lai1 n2

 Centre for Civionics Research, University of Western Sydney, Locked Bag 1797, Penrith South DC, NSW 1797, Australiaskken.lai@gmail.com

Y. Xiang

School of Engineering, University of Western Sydney, Locked Bag 1797, Penrith South DC NSW 1797, Australia  Centre for Civionics Research, University of Western Sydney, Locked Bag 1797, Penrith South DC NSW 1797, Australia

1

Present address: Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong.

2

Corresponding author.

J. Vib. Acoust 134(1), 014502 (Dec 28, 2011) (6 pages) doi:10.1115/1.4005007 History: Received November 15, 2010; Accepted July 12, 2011; Revised July 12, 2011; Published December 28, 2011; Online December 28, 2011

This paper investigates the buckling and vibration of heavy standing plates with rotational elastic edge constraints. The discrete singular convolution (DSC) method as a powerful numerical technique is applied to derive the governing eigenvalue equation. Convergence and comparison studies are conducted to authenticate the correctness and accuracy of the DSC approach. Accurate first-known vibration solutions for elastically restrained vertical plates subjecting to body forces/self-weight are presented. Some contour mode shapes for the vibration of elastically restrained vertical plates are also depicted for illustration.

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Figures

Grahic Jump Location
Figure 1

Geometry of a standing vertical plate with all elastically restrained edges subjected to body force p

Grahic Jump Location
Figure 2

Fundamental vibration mode shapes of elastically restrained vertical plates subjecting to different body force intensities γ/γcr∈[0.1,0.95] for λ= 0.2 and K1,2,3,4= 103

Grahic Jump Location
Figure 3

Contour plots for the first eight modes of elastically restrained vertical plates for λ= 0.2, γ/γcr= 0.5 and K1,2,3,4= 103

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