Lower Bounds to the Gravest and All Higher Frequencies of Homogeneous Vibrating Plates of Arbitrary Shape-Reference-Cited by-同舟云学术

Lower Bounds to the Gravest and All Higher Frequencies of Homogeneous Vibrating Plates of Arbitrary Shape

Published:1975-12-01 Issue:4 Volume:42 Page:815-820
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Pnueli D.¹

Affiliation:

1. Department of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa, Israel

Abstract

A method is presented by which lower bound can be calculated for the gravest and all higher frequencies of both clamped and simply supported plates of arbitrary shape. The results have the form of simple algebraic formulas which depend on the plate’s area only. Numerical examples are presented for rectangular, triangular, and elliptical configurations.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/42/4/815/5454933/815_1.pdf

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