Circular Plates on Linear Viscoelastic Foundations

by Keiichiro Sonoda, (M.ASCE), Prof.; Dept. of Civ. Engrg., Osaka City Univ., Sumiyoshiku, Osaka, Japan,
Toshimitsu Ishio, Grad. Student; Dept. of Civ. Engrg., Osaka City Univ., Sumiyoshiku, Osaka, Japan,
Harutoshi Kobayashi, Research Assoc.; Dept. of Civ. Engrg., Osaka City Univ., Sumiyoshiku, Osaka, Japan,


Serial Information: Journal of the Engineering Mechanics Division, 1978, Vol. 104, Issue 4, Pg. 819-828


Document Type: Journal Paper

Errata: (See full record)

Abstract: The solutions of the quasistatic bending problem of circular plates on linear viscoelastic foundations under arbitrary loading conditions are presented. The method of solution is developed by using the eigenfunctions found in the free lateral vibration problem of the circular plates with the same geometry and the same boundary condition, and the correspondence principle between linear elastic boundary value problem and viscoelastic one is utilized. Some results of numerical calculations for the variations in deflection and reactive force in space and with time are illustrated for the viscoelastic foundations of Kelvin (Voigt), Maxwell, and Standard linear solid types.

Subject Headings: Linear functions | Viscoelasticity | Plates | Foundations | Professional societies | Bending (structural) | Arbitration | Load factors

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