An analytical method, developed by Young , is here extended to the determination of the natural frequencies of a composite system which consists of an isotropic rectangular plate with a concentrated mass, spring, and dashpot attached at any point of the plate. This method makes use of a double series expansion in terms of two sets of orthogonal functions which represent the normal modes of the vibration of the plate alone. Numerical examples for a square plate with (a) a combined concentrated mass and spring, (b) two concentrated masses, and (c) an attached dashpot have been presented.
Vibrations of a Rectangular Plate With Concentrated Mass, Spring, and Dashpot
Y. C. Das,
Y. C. Das
Department of Civil Engineering, University of Illinois, Urbana, Ill.
D. R. Navaratna
Department of Mechanical Engineering, Indian Institute of Technology, Kanpur, India
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Das, Y. C., and Navaratna, D. R. (March 1, 1963). "Vibrations of a Rectangular Plate With Concentrated Mass, Spring, and Dashpot." ASME. J. Appl. Mech. March 1963; 30(1): 31–36. https://doi.org/10.1115/1.3630102
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