Buckling and Vibrations of Polygonal and Rhombic Plates

by Sanford B. Roberts, (M.ASCE), Asst. Prof. of Engrg.; UCLA, Los Angeles, CA,

Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 2, Pg. 305-315

Document Type: Journal Paper


The lowest eigenvalues for thin simply supported polygonal and rhombic plates are determined by means of conformal mapping and a power series expansion. Approximate mapping functions produce first eigenvalues to within 1%, indicating a relative insensitivity to exact boundary shape.

Subject Headings: Buckling | Vibration | Plates | Eigenvalues | Mapping | Domain boundary

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