An analysis of a plate, simply supported on three edges and elastically restrained on the fourth, excited by a concentrated load with a harmonic time history, is used to study the peak resonant response of the plate for several configurations and a wide range of edge restraint. Classical thin plate theory is employed with a complex elastic modulus to account for energy dissipation. An approximate method, based on a single term normal mode solution, is developed for calculating the limits of the peak resonant response for arbitrary edge restraint.
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The Resonant Response of a Rectangular Plate With an Elastic Edge Restraint
D. M. Egle
School of Aerospace, Mechanical and Nuclear Engineering, University of Oklahoma, Norman, Okla.
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Egle, D. M. (May 1, 1972). "The Resonant Response of a Rectangular Plate With an Elastic Edge Restraint." ASME. J. Eng. Ind. May 1972; 94(2): 517–525. https://doi.org/10.1115/1.3428184
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