Eigenvalues for Δφ+λφ=O in Regular Polygons

by Peter Bettess,

Serial Information: Journal of the Engineering Mechanics Division, 1980, Vol. 106, Issue 6, Pg. 1433-1438

Document Type: Journal Paper


The eigenvalue problem occurs in many engineering applications, vibration of membranes, buckling of plates under biaxial compression, surface waves, and transient heat and matt transfer, so solutions of it are of obvious interest. This problem can be solved using finite element or finite difference methods.

Subject Headings: Surface waves | Eigenvalues | Finite element method | Vibration | Membranes | Buckling | Plates | Biaxial strength

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