带有任意形状初缺陷的弹性圆柱壳冲击扭转屈曲
The Impact Torsionai Buckling of Elastic Cylindrical Shells with Arbitrary Form Imperfection
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摘要: 本文给出带有初缺陷的弹性圆柱壳在阶跃突加扭矩作用下的冲击屈曲摄动分析,而且初缺陷假设为小量但其形状是任意的.研究表明影响临界冲击扭矩和静态临界扭矩的只是具有经典静力扭转屈曲模态的那一部分初缺陷大小,文中给出了临界冲击扭矩的计算公式.Abstract: A perturbation analysis for the impact torsional buckling of imperfective elastic cylindrical shells subjected to a step torque is given The imperfection is supposed to be small and has arbitrary form. It is shown that only the imperfection which has the shape of static torsional buckling mode could influence the critical step torque. Finally a formula is presented for the critical step torque.
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[1] Simitses,G.J.,Buckling and post-buckling of imperfect cylindrical shells:A review,Applied Mechanics Review,39,10(1986),1517-1524. [2] Budiansky,B.,Post-buckling behavior of cylinders in torsion,Theory of Thin Shell,Ed.by F.I.Niordson,Springer,Berlin(1969),212-233. [3] 王德禹、杨桂通.带有初缺陷的弹性圆柱壳冲击扭转屈曲.结构工程学报.2(3-4)(1991),1205-1209. [4] Lockhart,D.F.,Post-buckling dynamic behavior of periodically supported imperfect shells,Int.J.Non-Linear Mechanics,17,3(1982),165-174. [5] Lockhart,D.F.and J.C,Amazigo,Dynamic buckling of externally pressurized imperfect cylindrical shells,J.Appl.Mech.,42(1975),316-320. [6] Courant,R.and D.Hilbert,Methods of Mathematical Physics,1,Wiley,New York(1953). [7] Budiansky,B.,Dynamic buckling of elastic structures:Criteria and estimates,Dynamic Stability of Structures,Ed.by G.Herrmann,Pergamann Press(1967). -
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