环形和圆形薄板屈曲后性态的非线性分析*
Nonlinear Analyses for the Postbuckling Behaviors of Annular and Circular Plates
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摘要: 本文应用改进的多重尺度法,研究环形和圆形薄板屈曲后的性态.求出其渐近解和极限荷载以及指出薄板屈曲后其皱纹和弯曲刚度间的关系.Abstract: In this paper we apply the modified method of multiple scales to study the postbuckling behaviors of annular and circular thin plates. The asymptotic solutions have been constructed, the ultimate loads have been determined, and the relations-between the length of twisted waves formed by buckling and the flexural rigidity of plates have been discovered.
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[1] Timoshenko,S.P,and T.M.Gere,Theory of Elastic Stability,McGraw Hill(1961). [2] Волъмир А.С,.Гцбкце Пласмцннц ц Оболочка,Гостехиздат,Москва(1956). [3] Chia Chuen-Yuan,Nonlinear Analysis of Plates,MeGraw Hill(1980). [4] 秦圣立、张爱淑,关于环形薄板的屈曲问题,应用数学和力学,6,2(1985),175-190. [5] 江福汝,摄动方法在薄板屈曲问题中的某些应用,应用数学和力学,1,1(1980),37-53. [6] 江福汝,环形和薄板在各种支承条件下的非对称屈曲问题(I),应用数学和力学,3,5(1982),629-640. [7] 江福汝,环形和圆形薄板在各种支承条件下的非对称弯曲问题(I),应用数学和力学,5,2(1984),191-203. -
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