Abstract
Differential equations of free/forced vibrations of one-way rectangular stepped thin plates on Winkler's foundation are established by using singular functions: their general solutions are solved; expression of vibration mode function and frequency equations on usual supports are derived from W operator: forced responses of such plates under different-type loads are discussed with generalized functions.
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References
Cao Zhiyuan.Vibration Theory of Plates and Shells, China Railway Press, Beijing (1989), 13–36, (in Chinese)
Wang Xieshan,Singular Functions and Its Application to Mechanics, Science Press, Beijing (1993), 3–75. 230–233. (in Chinese)
S. Timoshenko, et al.,Vibration Problems in Engineering, 4th. Ed., U. S. A., John Wiley & Sons Inc. (1974). 363–433.
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Communicated by Chen Yushu
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Yingshi, Z., Xieshan, W. Vibrations of one-way rectangular stepped thin plates on Winkler's foundation. Appl Math Mech 19, 169–177 (1998). https://doi.org/10.1007/BF02457685
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DOI: https://doi.org/10.1007/BF02457685