Nonlinear vibration analysis of harmonically excited cracked beams on viscoelastic foundations
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The frequency response of a cracked beam supported by a nonlinear viscoelastic foundation has been investigated in this study. The Galerkin method in conjunction with the multiple scales method (MSM) is employed to solve the nonlinear governing equations of motion. The steady-state solutions are derived for the two different resonant conditions. A parametric sensitivity analysis is carried out and the effects of different parameters, namely the geometry and location of crack, loading position and the linear and nonlinear foundation parameters, on the frequency-response solution are examined.
KeywordsCracked beam Nonlinear vibration Multiple scales method Parameter sensitivity Resonant frequency Viscoelastic foundation
- 7.Younesian, D., Kargarnovin, M.H.: Response of the beams on random Pasternak foundations subjected to harmonic moving loads. J. Mech. Sci. Technol. 23, 2871–2882 (2010) Google Scholar