DOIONLINE 
DOIONLINE Publish In |
International Journal of Industrial Electronics and Electrical Engineering (IJIEEE)-IJIEEE |
 Journal Home Volume Issue |
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Issue |
Volume-4,Issue-2 ( Feb, 2016 ) | |||||||||
Paper Title |
Semi-Exact Algebraic Expressions For The Natural Frequencies Of Rectangular Kirchhoff-Love Plates | |||||||||
Author Name |
Michael j. Leamy | |||||||||
Affilition |
George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405 | |||||||||
Pages |
69-73 | |||||||||
Abstract |
Semi-exact, closed-form algebraic expressions are developed for the natural frequencies of rectangular Kirchhoff-Love plates. The approach employs plane waves, their edge reflections, and phase closure considerations. The semi-exact nature is such that the analysis exactly satisfies plate boundary conditions along each edge when taken in isolation, but not fully when combined, and thus is approximate near a corner. As frequency increases, the expressions become increasingly more accurate. For clamped square plates, closed-form expressions are developed in algebraic form for the first time and it is shown that the expressions for the first twenty non-dimensional natural frequencies are within 0.06% of their exact values. | |||||||||
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