Abstract
Basic equations for large deflection theory of thin orthotropic circular plate with variable thickness are derived in this paper. The modified iteration method is adopted to solve the large deflection problem of thin orthotropic circular plate with variable thickness under uniform pressure. If ɛ=0, then the solution derived from the result in this paper coincides completely with the result given by J. Nowinski (using perturbation method) for solving large deflection problem of thin orthotropic circular plate with constant thickness under uniform pressure.
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Chien Wei-zang, Large deflection of a circular clamped plate under uniform pressure,Chinese Journal of Physics,7, 2 (1947), 102–113.
Chien Wei-zang and Yeh Kai-yuan, On the large deflection of circular plate,Acta Physica Sinica,10, 3 (1954), 209–238. (in Chinese)
Hu Hai-chang, On the large deflection of circular plate under combined action of uniformly distributed load and concentrated load at the center,Acta Physica Sinica,10, 4 (1954), 383–394. (in Chinese)
Yeh Kai-yuan, Bending of a thin elastic plate of variable thickness,Acta Physica Sinica,11, 3 (1955), 207–218. (in Chinese)
Yeh Kai-yuan and Wang Xin-zhi, Modified ieration method in the problem of large deflection of thin circular plate with non-uniform thickness. Proceedings of the International Conference on Non-linear Mechanics, Shanghai, Editor-in-Chief Chien Wei-zang, Science Press (1985), 398–403.
Nowinski, J., Cylindrically orthotropic circular plates,Z. Angew. Math. Phys.,11, Redaction ZAMP (Germany) (1960), 218–228.
Banerjee, B., Large deflection of an orthotropic circular plate under a concentrated load,Bulletin de Lácademie Polonaise des Sciences,15, 12 (1967), 699–704.
Chia, Chuen-yuan,Nonlinear Analysis of Plates, McGraw-Hill, Inc. (1980).
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Communicated by Yeh Kai-yuan
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Ying-jian, W. Large deflection problem of thin orthotropic circular plate with variable thickness under uniform pressure. Appl Math Mech 11, 343–353 (1990). https://doi.org/10.1007/BF02015117
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DOI: https://doi.org/10.1007/BF02015117