A note on forced vibrations of a rectangular plate embedded in a non-homogeneous foundation |
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| Affiliation: | 1. Faculty of Mechanical Engineering, Department of Mechanics, Materials Science and Engineering, Wrocław University of Science and Technology, Smoluchowskiego 25, 50-370 Wrocław, Poland;2. Faculty of Mechanical Engineering, Department of Metal Forming and Metrology, Wrocław University of Science and Technology, Łukasiewicza 5, 50-370 Wrocław, Poland;3. INEGI/Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;1. Section of Cardiac Critical Care, Methodist Children''s Hospital, San Antonio, TX, United States;2. Department of Pediatrics, University of Arkansas for Medical Sciences, Little Rock, AR, United States;3. Department of Biostatistics, St. Jude Children''s Research Hospital, Memphis, TN, United States |
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| Abstract: | The title problem is solved for the case where the plate is subjected to a uniformly distributed, sinusoidally varying excitation. The plate dynamic amplitude is approximated by means of a polynomial co-ordinate function which contains an undetermined parameter as an exponent. The governing functional is minimized with respect to the unknown coefficient of the coordinate function and with respect to the exponential parameter. Good agreement with known results is shown to exist. |
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