About the nonlinear vibration equation of the beam
Author affiliations
DOI:
https://doi.org/10.15625/0866-7136/18189Keywords:
beam, nonlinear vibration, vibration equation, resonance oscillation, asymptotic methodAbstract
In this paper, we present the establishment the vibration equation for the study of nonlinear beam effects. A illustrative example allows us to derive equations und use nonlinear vibration for calculating vibration of beams.
Downloads
Metrics
References
H. Kauderer. Nichtlineare mechanik. Springer-Verlag, Berlin, (1958). DOI: https://doi.org/10.1007/978-3-642-92733-1
V. D. Lai and L. X. Binh. Mechanics of deformed solids. Science and Technology Publishing House, Hanoi, (2018). (in Vietnamese).
H. V. Da. Vibrations of beams and rectangular plates according to creep model. PhD thesis, Hanoi University of Science and Technology, (1983). (in Vietnamese).
N. V. Quyen. Chaos vibrations of nonlinear beams. Master’s thesis, Hanoi School of Science and Technology, (2011). (in Vietnamese).
I. Podlubny. Fractional diferential equation. Academic Press, San Diego, (1999).
R. C. Koeller. Applications of fractional calculus to the theory of viscoelasticity. Journal of Applied Mechanics, 51, (1984), pp. 299–307. DOI: https://doi.org/10.1115/1.3167616
N. T. V. Huong. Bending vibrations of prestressed beams under the action of moving objects. PhD thesis, Hanoi University of Science and Technology, (2016). (in Vietnamese).
N. V. Khang. Engineering vibration. Science and Technology Publishing House, Hanoi, (2005). (in Vietnamese).
N. V. Khang and N. V. Quyen. Calculation of chaotic bending vibrations of nonlinear viscoelastic beams. In Proceedings of the 9th National Conference of Mechanics, Bach Khoa Publishing House, Hanoi, (2013), pp. 277–290. (in Vietnamese).
P. T. Chung. Calculation of nonlinear bending vibrations of viscoelastic beams of fractional grade. PhD thesis, Hanoi University of Science and Technology, (2023). (in Vietnamese).
Downloads
Published
How to Cite
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
