Abstract
A simply supported damped Euler-Bernoulli beam with immovable end conditions is considered. The concept of non-ideal boundary conditions is applied to the beam problem. In accordance, the boundaries are assumed to allow small deflections and moments. Approximate analytical solution of the problem is found using the method of multiple scales, a perturbation technique.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Nayfeh A. H. (1981) Introduction to Perturbation Techniques, New York.
Pakdemirli M., Boyacι H. (2001) Vibrations of a stretched beam with non-ideal boundary conditions, Mathematical and Computational Applications 6 217–220.
Pakdemirli M., Boyacι H. (2002) Effect of non-ideal boundary conditions on the vibrations of continuous systems, Journal of Sound and Vibration 249 815–823.
Pakdemirli M., Boyacι H. (2003) Non-linear vibrations of a simple-simple beam with a non-ideal support in between, Journal of sound and Vibration 268 331–341.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this paper
Cite this paper
Boyacı, H. (2006). BEAM VIBRATIONS WITH NON-IDEAL BOUNDARY CONDITIONS. In: İnan, E., Kırış, A. (eds) Vibration Problems ICOVP 2005. Springer Proceedings in Physics, vol 111. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5401-3_17
Download citation
DOI: https://doi.org/10.1007/978-1-4020-5401-3_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-5400-6
Online ISBN: 978-1-4020-5401-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)