Vibration of Flexible Plate on Viscoelastic Medium

by Michio Iguchi, Assoc. Prof.; Dept. of Architectural Engrg., Faculty of Sci. and Engrg., Science Univ. of Tokyo, Noda City, Japan,
J. Enrique Luco, Assoc. Prof.; Dept. of Applied Mechanics and Engrg. Sci., Univ. of California, San Diego, La Jolla, Calif. 92093,

Serial Information: Journal of the Engineering Mechanics Division, 1982, Vol. 108, Issue 6, Pg. 1103-1120

Document Type: Journal Paper


The dynamic response of a massless flexible circular plate with a rigid core supported on a layered viscoelastic half-space and subjected to harmonic vertical and rocking excitation is studied. The mixed boundary-value problem for the case of relaxed contact conditions between the plate and the half-space is reduced to Fredholm integral equations of the second kind which are solved numerically. The effects of flexibility of the plate on the force-displacement relationship, on the motion of different points on the plate, and on the distribution of contact stresses beneath the plate are studied numerically. In general, it has been found that all of these aspects of the response of the plate are highly dependent on the flexibility of the plate relative to that of the supporting half-space.

Subject Headings: Half space | Vibration | Plates | Viscoelasticity | Contact mechanics | Numerical methods | Stress distribution | Dynamic response

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