The General Solution for Dynamic Response of Nonhomogeneous Beam with Variable Cross Section

Ji Zhen-yi; Yeh Kai-yuan

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Ji Zhen-yi, Yeh Kai-yuan. The General Solution for Dynamic Response of Nonhomogeneous Beam with Variable Cross Section[J]. Applied Mathematics and Mechanics, 1994, 15(5): 381-388.

Citation:

Ji Zhen-yi, Yeh Kai-yuan. The General Solution for Dynamic Response of Nonhomogeneous Beam with Variable Cross Section[J]. Applied Mathematics and Mechanics, 1994, 15(5): 381-388.

Citation:

Ji Zhen-yi, Yeh Kai-yuan. The General Solution for Dynamic Response of Nonhomogeneous Beam with Variable Cross Section[J]. Applied Mathematics and Mechanics, 1994, 15(5): 381-388.

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The General Solution for Dynamic Response of Nonhomogeneous Beam with Variable Cross Section

Ji Zhen-yi¹,
Yeh Kai-yuan²

1.
Anhui Architectural Industry College, Hefei;
2.
Lanzhou University, Lanzhou

Received Date: 1992-05-21
Publish Date: 1994-05-15

Abstract

Abstract

In this paper by means of the exact analytic method ^[1],the general solution for dynamic response of nonhomogeneous beam with variable cross section is obtained under 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,its convergence is proved.Numerical examples are given at the end of the paper.which in-dicates satisfactory results can be obtained.
- variable cross section beam,
- dynamic response,
- exact analyticmethod,
- steady-state resonant vibration

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References(6)

References

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