Free vibrations of beam-mass-spring systems: analytical analysis with numerical confirmation

Author:

Darabi Mohammad A.,Kazemirad Siavash,Ghayesh Mergen H.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Computational Mechanics

Reference28 articles.

1. Low, K. H.: Natural frequencies of a beam-mass system in transverse vibration: rayleigh estimation versus eigen analysis solutions. International Journal of Mechanical Sciences 45(6–7), 981–993 (2003)

2. Miaz, S., Bambill, D. V., Rossit, C. A., et al.: Transverse vibration of Bernoulli-Euler beams carrying point masses and taking into account their rotatory inertia: exact solution. Journal of Sound and Vibration 303(3–5), 895–908 (2007)

3. Wu, J. S., Chen, C. T.: A continuous-mass TMM for free vibration analysis of a non-uniform beam with various boundary conditions and carrying multiple concentrated elements. Journal of Sound and Vibration 311(3–5), 1420–1430 (2008)

4. Wang, J., Qiao, P.: Vibration of beams with arbitrary discontinuities and boundary conditions. Journal of Sound and Vibration 308(1–2), 12–27 (2007)

5. Gurgoze, M.: A note on the vibrations of restrained beams and rods with point masses. Journal of Sound and Vibration 96(4), 461–468 (1984)

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