Abstract
A general treatment and residual values of Chien's solution for large deflection of circular plates are given. By means of the above results, the asymptotic behavior of Chien's solution is studied. Two examples of uniform load and concentrated load are discussed, respectively.
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Chien Wei-zang, Chinese Journal of Physics, Vol. 7, 102–113, (1947). (in Chinese)
Xu Ci-de, Lixue and Shijian, Vol. 1, 2, No. 4, 12–20, (1980).
Chen Shan-lin, Applied Mathematics and Mechanics, Vol. 1, No. 2, (1980). pp. 279–291.
Chen Shan-lin and Kuang Ji-chang, Applied Mathematics and Mechanics, Vol. 2, No. 1, (1981). pp. 137–154.
Schmidt, R., Journal of the Engineering Mechanics Division, Proc. ASCE, Vol. 94, No. EM6, 1603–1606, (1968).
Schmidt, R., Industrial Mathematics, Vol. 23, Part 1, 45–51, (1973).
Tucker, J.R., Schmidt, R. and Dadeppo, D.A., Industrial Mathematics, Vol. 25, Part 1, 17–28, (1975).
Nash, W. A. and Cooley, I.D., Journal of Applied Mechanics, Vol. 26, No. 2, 291–293, (1959).
Alzheimer, W.E. and Dayis, R.T., Journal of Applied Mechanics, Vol. 35, No. 1, 190–192. (1968).
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Communicated by Chien Wei-zang.
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Shan-lin, C. Chien's solution and its asymptotic behavior in large deflection of circular plates. Appl Math Mech 3, 557–562 (1982). https://doi.org/10.1007/BF01908230
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DOI: https://doi.org/10.1007/BF01908230