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Article Navigation >  Applied Mathematics and Mechanics  > 1998  >  19(4): 341-347
Sun Lu, Deng Xuejun. Dynamic Analysis to Infinite Beam under a Moving Line Load with Uniform Velocity[J]. Applied Mathematics and Mechanics, 1998, 19(4): 341-347.
Citation: Sun Lu, Deng Xuejun. Dynamic Analysis to Infinite Beam under a Moving Line Load with Uniform Velocity[J]. Applied Mathematics and Mechanics, 1998, 19(4): 341-347.
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Dynamic Analysis to Infinite Beam under a Moving Line Load with Uniform Velocity

  • Southeast University, Nanjing 210096, P.R.China

  • Received Date: 1996-01-03
  • Rev Recd Date: 1997-08-18
  • Publish Date: 1998-04-15
    Abstract
  • Based on the principle of linear superposition,this paper proves generalized Duhamel's integral which reverses moving dynamical load problem to fixed dynamical load problem.Laplace transform and Fourier transform are used to solve patial differential equation of infinite beam.The generalized Duhamel's integral and deflection impulse response function of the beam make it easy for us to obtain final solution of moving line load problem.Deep analyses indicate that the extreme value of dynamic response always lies in the center of the line load and travels with moving load at the same speed.Additionally,the authors also present definition of moving dynamic coefficient which reflects moving effect.
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    • References(7)
  • [1]
    李国豪编著,《桥梁结构稳定与振动》,中国铁道出版社(1993),367-402.
    [2]
    S.Timoshenko,Method of analysis of statical and dynamical stress inrail,Proc.of the Sec.Inter.Con.for Appl.Mech.,Zurich (1926),407-418.
    [3]
    L.Fryba,Vibr a tion of Solids and Structures under Moving Loads,Noordhoff International Publishing (1971),214-233.
    [4]
    C.R.Steele,The finite beam with a moving load,J.Appl.Mech.,35(4) (1967),111-119.
    [5]
    李国豪,拱桥振动问题,同济大学学报,(3) (1956),140-148.
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    郑小平、王尚文、陈百屏,弹性地基无限长梁动力学问题的一般解,应用数学和力学,12(7) (1991),593-597.
    [7]
    陆振球编著,《经典和现代数学物理方程》,上海科学技术出版社(1992),394-425.
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