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Article

On the Nonlinear Transverse Vibrations and Stability of an Axially Accelerating Beam

by
H. R. Öz
Deparünent of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, Turkey
Math. Comput. Appl. 2000, 5(3), 157-167; https://doi.org/10.3390/mca5020157
Published: 1 December 2000
Versions Notes

Abstract

Nonlinear vibrations and stability analysis of an axially moving Euler-Bernoulli type beam are investigated. The beam is on fixed supports and moving with a harmonically varying velocity about a constant mean value. The method of multiple scales is used in the analysis. Nonlinear frequencies depending on vibration amplitudes are obtained. Stability and bifurcations of steady-state solutions are analyzed for frequencies close to two times any natural frequency. It is shown that the amplitudes are bounded in time for frequencies close to zero. The effect of fixed supports is discussed.

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MDPI and ACS Style

Öz, H.R. On the Nonlinear Transverse Vibrations and Stability of an Axially Accelerating Beam. Math. Comput. Appl. 2000, 5, 157-167. https://doi.org/10.3390/mca5020157

AMA Style

Öz HR. On the Nonlinear Transverse Vibrations and Stability of an Axially Accelerating Beam. Mathematical and Computational Applications. 2000; 5(3):157-167. https://doi.org/10.3390/mca5020157

Chicago/Turabian Style

Öz, H. R. 2000. "On the Nonlinear Transverse Vibrations and Stability of an Axially Accelerating Beam" Mathematical and Computational Applications 5, no. 3: 157-167. https://doi.org/10.3390/mca5020157

APA Style

Öz, H. R. (2000). On the Nonlinear Transverse Vibrations and Stability of an Axially Accelerating Beam. Mathematical and Computational Applications, 5(3), 157-167. https://doi.org/10.3390/mca5020157

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