Research Article
Apr 1980
Rectangular Plates on Linear Viscoelastic Foundations
Publication: Journal of the Engineering Mechanics Division
Volume 106, Issue 2
Abstract
This paper deals with the quasistatic bending problems of the rectangular plates and the infinite strips on the linear viscoelastic foundations of the Kelvin, the Maxwell and the standard linear solid types. The general solutions for them are developed by using the eigenfunctions derived from a free lateral-vibration problem of the plates with the same geometries and the same boundary conditions and by utilizing the correspondence principle between linear elastic boundary value problem and linear viscoelastic one. Numerical results for the variations of the deflection in space and time are illustrated for a rectangular plate and an infinite strip on the viscoelastic foundation of the standard linear solid type.
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Published In
Journal of the Engineering Mechanics Division
Volume 106 • Issue 2 • April 1980
Pages: 323 - 338
Copyright
© 1980 American Society of Civil Engineers.
History
Published in print: Apr 1980
Published online: Feb 3, 2021
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Authors
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Keiichiro Sonoda, M.ASCE
Prof., Dept. of Civ. Engrg., Osaka City Univ., Sumiyoshiku, Osaka, Japan
Harutoshi Kobayashi
Research Assoc., Dept. of Civ. Engrg., Osaka City Univ., Sumiyoshiku, Osaka, Japan
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.