Dong Wen-tang. An Analytical Solution to Large Deflection Equations of Slmply-Supported Rectangular Hyperboloidal Shallow Shells of Orthotropic Composites[J]. Applied Mathematics and Mechanics, 1995, 16(3): 275-281.
 Citation: Dong Wen-tang. An Analytical Solution to Large Deflection Equations of Slmply-Supported Rectangular Hyperboloidal Shallow Shells of Orthotropic Composites[J]. Applied Mathematics and Mechanics, 1995, 16(3): 275-281.

# An Analytical Solution to Large Deflection Equations of Slmply-Supported Rectangular Hyperboloidal Shallow Shells of Orthotropic Composites

• Publish Date: 1995-03-15
• Based on the product rule of the Fourier series and some relevant results inreferences[1,2], a method on solving the large deflection equations of plates and shells by means of the fourier series is proposed in the present paper.Applying this method,we derive a type solution to the Navier's solution of the nonlinear differential equations of the rectangular hyperboloidal shallow shells of the orthotropic composites simply supported.This solution is suitable for plates and shells with large deflection or small deflection whether it is isotropic or orthotropic.Their data processing results are correlative with those found in the classical examples and from the experiments.
•  [1] Yen Kai-yuan,Zheng Xiao-Jing,An analytical formula of the enact solution to Von Karmaris equations of a circular plate under a concentrated load,Int,J. Non-linear Mechanics,24,6(1989),551-560. [2] 严宗达,咤结构力学中的富里叶级数解法》,天津大学出版社,天津(1989). [3] 沃耳密尔A.C.著,《柔韧板与柔韧壳》(庐文达等译),科学出版社,北京(1959). [4] Timoshenko,S and S.Woinowsky-krieger,Theory of Plate and Shells,second edition,McGraw-Hill Book company,Inc.,(1959). [5] 孙镇泰,《各向异性板壳理论》,东南大学出版社,南京(1993).

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