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Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (5): 405-412.

• Articles •     Next Articles

THE GENERAL SOLUTION FOR DYNAMIC RESPONSE OF NONHOMOGENEOUS BEAM WITH VARIABLE CROSS SECTION

Ji Zhen-yi1, Yeh Kai-yuan2   

  1. 1. Anhui Architectural Industry College, Hefei;
    2. Lanzhou University, Lanzhou
  • Received:1992-05-21 Online:1994-05-18 Published:1994-05-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China

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Abstract: In this paper by means of the exact analytic method [1], the general solution fordynamic response of nonhomogeneous beam with variable cross section is obtained un-der arbitrary resonant load and boundary conditions. The problem is reduced to solvea non-positive differential equation. Generally, it is not solved by variational method.By the present method, the general solution for this problem may be written as an ana-lytic form. Hence, it is convenient for structure optimizing problem. In this paper, itsconvergence is proved. Numerical examples are given at the end of the paper. which in-dicates satisfactory results can be obtained.

Key words: dissimilar material, interface crack, stress intensity factor, semi-weight function method, plane fracture problem, variable cross section beam, dynamic response, exact analyticmethod, steady-state resonant vibration

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