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- Title
A weak solution for free vibration of multi-span beams with general elastic boundary and coupling conditions.
- Authors
Dongyan Shi; Yue Tian; Kwang Nam Choe; Qingshan Wang
- Abstract
A weak solution of free vibration is developed for multi-span beams, which can adapt general elastic boundary and coupling conditions. Firstly, create the energy functional of the multi-span beam system based on the small deformation theory. Then, adopt the modified Fourier series method to rewrite the displacement functions. Compared with the traditional Fourier series method, the present series representations provide a solution for general elastic restrains. Lastly, combined with the Rayleigh-Ritz technique, all the series expansion coefficients can be obtained as the generalized coordinates. Numerical results demonstrate that the current weak solution has good convergence and high accuracy compared with the existing results in literature and FEM results.
- Subjects
VIBRATION (Mechanics); FREE vibration; FORCED vibration (Mechanics); GIRDERS; BOUNDARY value problems; DEFORMATIONS (Mechanics)
- Publication
Vibroengineering Procedia, 2016, Vol 10, p298
- ISSN
2345-0533
- Publication type
Article