Transverse Free Vibration of Timoshenko Beams Resting on Viscoelastic Foundations

Abstract:

The complex modal analysis is developed to study the transverse vibration of Timoshenko beams resting on viscoelastic Pasternak foundation. Complex frequency equations and modal function expressions are obtained for pinned-pinned ends. In numerical examples, the characteristics of natural frequencies and decrement coefficients of Timoshenko beams are compared with Euler-Bernoulli beams. The numerical results show that with increase in the length, the natural frequencies of Timoshenko beams are slightly less than Euler-Bernoulli beams, and the decrement coefficients of Timoshenko beams are not constant as that of Euler-Bernoulli beams.

• Periodical: Advanced Materials Research (Volumes 919-921)
• Pages: 275-279
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.919-921.275
• Online since: April 2014
• Authors: Li Peng*, Ying Wang
• Keywords: Beam-on-Foundation, Modal Function, Natural Frequency, Viscoelastic

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