Abstract
In this paper, asymptotic behaviour of the solution to the problem of a thin clamped circular plate under uniform normal pressure at very large deflection is restudied by means of the modified method of multiple scales given in [1–2]. The result presented herein is in good agreement with one obtained by professor Chien Wei-zang who first proposed the method of composite expansions to solve this problem in [3]. However, by contrast, the advantage of the modified method of multiple scales it seems to be relatively simpler than the method used in [3]. It is also shown that the restriction of the method of paper [1–2] pointed out in paper [4] is not essential, and several computation errors in [3] are corrected as well.
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Chien Wei-zang, Asymptotic behavior of a thin clamped circular plate under uniform normal pressure at very large deflection,The Science Reports of National Tsing Hua Univ.,5, 1 (1948, 71–94.
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Communicated by Chien Wei-zang and Jiang Fu-ru
Project supported by the National Natural Science Foundation of China
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Zong-chun, Q. Application of the modified method of multiple scales to solving the problem of a thin clamped circular plate of a very large deflection. Appl Math Mech 14, 953–962 (1993). https://doi.org/10.1007/BF02451709
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DOI: https://doi.org/10.1007/BF02451709