Dynamic Buckling Mode of an Elastic Bar

Li Qing-ming

Volume 11 Issue 1

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Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(1): 61-66

Li Qing-ming. Dynamic Buckling Mode of an Elastic Bar[J]. Applied Mathematics and Mechanics, 1990, 11(1): 61-66.

Citation:

Li Qing-ming. Dynamic Buckling Mode of an Elastic Bar[J]. Applied Mathematics and Mechanics, 1990, 11(1): 61-66.

Citation:

Li Qing-ming. Dynamic Buckling Mode of an Elastic Bar[J]. Applied Mathematics and Mechanics, 1990, 11(1): 61-66.

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Dynamic Buckling Mode of an Elastic Bar

Li Qing-ming

Taiyuan University of Technology, Taiyuan

Received Date: 1988-03-16
Publish Date: 1990-01-15

Abstract

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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References(7)

References

[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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