弹性杆的动态屈曲模态
Dynamic Buckling Mode of an Elastic Bar
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摘要: 本文提出了屈曲相关初缺陷的概念,采用最优模态分析方法,由Bernolli-Euler梁方程出发给出了弹性杆在齐次边条件下的动态屈曲模态、由此对两端固支弹性杆的动态屈曲模态进行了讨论.Abstract: The conception of buckling relative initial imperfection is presented in this paper. According to Bernoulli-Euler beam equation, the dynamic buckling mode of an elastic bar under the homogeneous boundary conditions can he derived by applying the preferred mode analytical method. As an example, the dynamic buckling mode of an elastic bar clamped at both ends is discussed.
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[1] Taub,J.and C.Koning,Impact buckling of thin bars in the elastic range hinged at both ends,NACA,TM748(1934). [2] Meier,J.H.,On the dynamics of elastic buckling,J.of the Aeronautical Sciences,12(1945),433-440. [3] Davidson,J.F.,Buckling of strucs.under dynamic loading,J.of Mech.and Phy,of Solids,12(1953),54-66. [4] Lavrentier,M.A.,and A.V.Ishinsky,Dynamic forms of lose of stability of elastic systems,Doklady Akademiya Nauk,USSR,64(1949),779-782;English translation by R.Cooper in STL-TR-61-5110-41,Space Tech.Lab.,Los Angeles,Calif. [5] Housner G.W.and W.K.Tso,Dynamic behaviour of stuper-critically loading strucs.,J.of the Engin.Mech.Divistion.Proceedings of the American Society of Civil Engineers(1962),41-65. [6] Lindberg.H.E.,Impact buckling of a thin bar,ASMW J.of Appl.Mech.,32,2(1965),315-322. [7] Abrahamson,R.and J.N.Goodier,Dynamic flexural buckling of rods within an axial plastic compression wave,ASME J.Of Appl.Mech.,33(1966),241-24. -
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