General analytic solution of dynamic response of beams with nonhomogeneity and variable cross-section

Author:

Kai-yuan Yeh,Xiao-hua Tong,Zhen-yi Ji

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Reference21 articles.

1. Yeh, K. Y., General solutions on certain problems of elasticity with nonhomogeneity and variable thickness, Part IV: Bending, buckling, and free vibration of nonhomogeneous variable thickness beams,Journal of Lanzhou University, Special Number of Mechanics 1 (1979), 133–157. (in Chinese)

2. Chu, C. H. and W. D. Pilkey, Transient analysis of structural members by the CSDT Riccati transfer matrix method,Computers and Structures,10 (1979), 599–611.

3. Finlayson, B. A.,The Methods of Weighted Residuals and Variational Principles, Academic Press, New York (1972).

4. Mikhlin, S. G.,Variational Methods in Mathematical Physics, Macmillan, New York (1964).

5. Laura, P. A. A., B. Valerga De Greco, J. C. Vtjes and R. Carnicer, Numerical experiments on free and forced vibrations of beams of nonuniform cross-section,Journal of Sound and Vibration,120 (1988), 587–596.

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