Finite-Difference Methods for Plate Vibration Problems

by H. J. Salane,
Hudson M. Matlock,

Serial Information: Journal of the Structural Division, 1969, Vol. 95, Issue 3, Pg. 441-456

Document Type: Journal Paper


A finite-difference method is developed to determine the transverse deflections of a vibrating plate. Explicit and implicit difference formulas are considered. The implicit formulation, which has been programmed for a digital computer, is derived to permit variations in bending stiffness, support stiffness, mass density, and loading. Numerical results demonstrate that the method is applicable to a wide range of problems involving both transient and steady-state response of plates.

Subject Headings: Plates | Stiffening | Finite difference method | Displacement (mechanics) | Vibration | Computing in civil engineering | Permits | Bending (structural)

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