Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (4): 1449-1457.
周焕文
收稿日期:1983-04-30
出版日期:1984-07-18
发布日期:1984-07-18
Chou Huan-wen
Received:1983-04-30
Online:1984-07-18
Published:1984-07-18
摘要: This paper presents a review which tackles some nonlinear bending problems of plates and shells in a unified way by means of the technique of undetermined small parameters.
周焕文. SOME APPLICATIONS OF THE SINGULAR PERTURBATION METHOD TO THE BENDING PROBLEMS OF THIN PLATES AND SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(4): 1449-1457.
Chou Huan-wen . SOME APPLICATIONS OF THE SINGULAR PERTURBATION METHOD TO THE BENDING PROBLEMS OF THIN PLATES AND SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(4): 1449-1457.
| (1) Chien, W. Z., Asymptotic behavior of a thin clamped circular plate under uni-form normal pressure at very large deflection, Science Report of Tsinghua Univer-sity,5,1,(1984). (2) McPherson, A. E.,w. Ramburg and S. Levy, Normal pressure tests at circular plates with clamped edges N.A.C.A. Report, 744,(1942). (3) Chou Huan-wen, The singular perturbation method applied to the problems of large deflection of the circular plates, in "Singular Perturbation Theory and Its Application in Mechanics"(Editor in Chief, Chien Wei-zang),(1981). (4) Chien Wei-zang and Yeh xai-yuan, On the large deflections of a circular thin plate, Chinese Journal- of Physics, 10, 3(1954). (5) Yeh Kai-yuan, Lin Zen-huai, Chang Chuan-dzi and Shue Ih-fan, Nonlinear stabi-lity of thin elastic circular shallow sphrical shell under the action of uni-form edge moment, Applied Mathematics and Mechanics, 1, 1(1980),71-90. (6) Chou Huan-wen, A perturbation solution in the nonlinear theory of circular plate, Applied Mathematics and Mechanics, 2, 5(1981). (7) Bromberg, B.,Nonlinear bending of a circular plate under normal pressure, Comm. On Pure and Applied Math.,9, 12(1956), 597-612. (8) Srubshchik, L. S. and V. I. Yudovich, Asymptotic treatment of the equations for large bending of a symmetrically loaded circular plate, Dokladi Akad. Nauk SSSR, 139, 2,(1961),341-344.(in Russian) (9) Chien Wei-zang, Lin Hong-sun, Hu Hai-chang and Yeh Kai-yuan, The large deflec-tion problem of the circular thin plate,(1954).(in chinese) (10) Dickey, R. W., The plane circular elastic surface under normal pressure, Arch. Rational Mech., 26, 3(1967). (11)Tucker, J. R., R. Schmidt and D. A Dadeppa, Moderately large deflections of a loosely clamped circular plate under a uniformly distributed Load, J. Indus-trial Mathematics Society, 25, Part 1,(1975). (12) Chien Wei-zang, Wang Zhi-zhong, Xu Yin-ge and Chen Shan-lin, The symmetrical deformation of circular membrane under the action of, uniformly distributed load in its central portion, Applied Math, and Mech. 2, 6(1981). |
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