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 引用本文: 王颖坚. 均布载荷下正交异性变厚度圆薄板大挠度问题[J]. 应用数学和力学, 1990, 11(4): 319-328.
Wang Ying-jian. Large Deflection Problem of Thin Orthotropic Circular Plate with Variable Thickness under Uniform Pressure[J]. Applied Mathematics and Mechanics, 1990, 11(4): 319-328.
 Citation: Wang Ying-jian. Large Deflection Problem of Thin Orthotropic Circular Plate with Variable Thickness under Uniform Pressure[J]. Applied Mathematics and Mechanics, 1990, 11(4): 319-328.

Large Deflection Problem of Thin Orthotropic Circular Plate with Variable Thickness under Uniform Pressure

• 摘要: 本文导出了正交各向异性变厚度圆薄板大挠度问题的基本方程,用修正迭代法求解了正交各向异性变厚度圆薄板在均布载荷下的大挠度问题.作为特例,令ε=0,则由本文结果得到的表达式与J.Nowinski用摄动法得到的正交各向异性等厚度圆薄板大挠度问题的解完全一致.
•  [1] Chien Wei-zang,Large deflection of a circular clamped plate under uniform pressure,Chinese Journal of Physics,7,2(1947),102-113. [2] 钱伟长、叶开沅,圆薄板的大挠度问题.物理学报.10, 3 (1954), 209-238 [3] 胡海昌,在均布及中心集中载荷作用下圆板的大挠度问题,物理学报,10,4 (1954), 383-394 [4] 叶开沅,厚度弹性圆薄板问题,物理学报,11, 3 (1956), 207-218 [5] 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. [6] Nowinski,J.,Cylindrically orthotropic circular plates,Z.Angew.Math.Phys.,11,Redaction ZAMP(Germany)(1960),218-228. [7] Banerjee,B.,Large deflection of an orthotropic circular plate under a concentrated load,Bulletin de Lácademie Polonaise des Sciences,15,12(1967),699-704. [8] Chia,Chuen-yuan,Nonlinear Analysis of.Plates,McGraw-Hill,Inc.(1980).
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出版历程
• 收稿日期:  1988-09-29
• 刊出日期:  1990-04-15

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