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

Abstract

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

Ji Zhen-yi;Yeh Kai-yuan. THE GENERAL SOLUTION FOR DYNAMIC RESPONSE OF NONHOMOGENEOUS BEAM WITH VARIABLE CROSS SECTION. Applied Mathematics and Mechanics (English Edition), 1994, 15(5): 405-412.

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

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