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极正交各向异性环形板的非轴对称屈曲 被引量:2

Non-axisymmetric Buckling of Polar Orthotropic Annular Plates
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摘要 对于环形板,即使在轴对称载荷和边界约束条件下,也可能发生非轴对称的屈曲状态.本文利用VanKarman型方程作为控制微分方程来研究极正交各向异性环形板的非轴对称屈曲状态.分析结果表明:它是两个藉合的四阶变系数非线性偏微分方程组,并含有多个参数,如几何参数、材料参数、载荷参数等.文中采用打靶法计算屈曲临界载荷. The non-axisymmetric buckling maybe happens for annular plates even if under the condition of axisymmetric loading and boundary constraint.The non-axisymmetric buckling of polar orthotropic is investigated.The control differential equations are the Van Karman type of equations that consist of two fourth-rank nonlinear partial differential coupling equations.The geometric,material and load parameters are induded in these equations.The critical load of an example is calculated by shooting target method.
作者 龚良贵
出处 《南昌大学学报(工科版)》 CAS 2003年第2期72-77,共6页 Journal of Nanchang University(Engineering & Technology)
关键词 环形板 屈曲 临界载荷 annular plates buckling critical load
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参考文献2

  • 1Liu Xiao—an,Cheng Chang—jun,Li Shi—rong.Buckling of Polar Orthotropic Annular Plates[J].Advance of Applied Mathematics and Mechanics in China,1991,(3):195—208.
  • 2G K Ramaiah.Buckling of Polar Orthotropie Annular Plates Under Uniform Inplane Compressive Forces [J].J Appl.Mech,1981,48(3):643—653.

同被引文献26

  • 1姚林泉,俞焕然.极正交各向异性弹性环形薄板的屈曲优化设计[J].工程力学,1993,10(4):125-131. 被引量:1
  • 2俞焕然,姚林泉,韩建平,李论.环形板的屈曲优化及其对偶问题[J].兰州大学学报(自然科学版),1995,31(4):65-69. 被引量:1
  • 3韩建平,车京兰,李论.具有中心弹簧支承的极正交各向异性圆板的稳定性分析[J].兰州大学学报(自然科学版),1996,32(2):26-31. 被引量:1
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  • 9Zhu zheng-you, Cheng Chang-jun. General Mathematical Theory of Large Deflection of Thin-Plates With Some Holes[J]Acta Mechanics Sinica,1986,(3):278-288.
  • 10HUANG Chilung.On post-buckling of orthotropic annular plates[J].Non-Linear Mechanics,1974,10:63.

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