Li Shirong, Cheng Changjun. Analysis of Thermal Post-Buckling of Heated Elastic Rods[J]. Applied Mathematics and Mechanics, 2000, 21(2): 119-125.
Citation: Li Shirong, Cheng Changjun. Analysis of Thermal Post-Buckling of Heated Elastic Rods[J]. Applied Mathematics and Mechanics, 2000, 21(2): 119-125.

Analysis of Thermal Post-Buckling of Heated Elastic Rods

  • Received Date: 1998-12-29
  • Rev Recd Date: 1999-08-12
  • Publish Date: 2000-02-15
  • Based on the non-linear geometric theory of extensible rods,an exact mathematical model of thermal post-buckling behavior of uniformly heated elastic rods with axially immovable ends is developed,in which the arc length s(x)of axial line and the longitudinal displacement u(x)are taken as the basic unknown functions.This is a two point boundary value problem of first order ordinary differential equations with strong non-linearity.By using shooting method and analytical continuation, the nonlinear boundary value problems are numerically solved.The thermal post-buckled states of the rods with transversely simply supported and clamped ends are obtained respectively and the corresponding numerical data tables and characteristic curves are also given.
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  • [1]
    Timoshenko S P,Gere J M.Theory of Elastic Stability[M].2nd Ed.New York:MacGraw-Hill,1961,76~82.
    [2]
    Tauchert T R,Lu W Y.Large deformation and post-buckling behavior of an initially deformed rod[J].Int J Non-Linear Mech,1987,22(6):511~520.
    [3]
    Wang C Y.Post-buckling of a champed-simply supported elastic[J].Int J Non-Linear Mech,1997,32(6):1115~1122.
    [4]
    程昌钧,朱正佑.结构的分叉与屈曲[M].兰州:兰州大学出版社,1991,83~88.
    [5]
    Nowiscki J L.Theory of Thermal Elasticity With Applications[M].Alphen aan den Rijn:Sijihoff and Noodrhoff,Int Publishers,1978,547~564.
    [6]
    陈建康,王汝鹏.弹性杆热膨胀屈曲分析[J].力学与实践,1994,16(3):23~26.
    [7]
    李世荣.压杆过屈曲分析中轴线不可伸假设的定量讨论[J].兰州大学学报,1997,33(4):43~46.
    [8]
    William H P,Brain P F,San A T.Numerical Recipes——the Art of Scientific Computing[M].Landon:Cambridge University Press,1986,578~614.
    [9]
    Li Shirong,Yong Jingning.Thermal post-buckling of heated elastic rods with immovably clamped ends[A].In:Chien Weizang Ed.Proceedings of the International Conference on Non-Linear Mechanics[C].Shanghai:Shanghai University Press,1998,282~285.
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