• Hakan Boyacı
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 111)


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.


Multiple Scale Mode Number Perturbation Technique External Excitation Approximate Analytical Solution 
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  4. 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.CrossRefADSGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Hakan Boyacı
    • 1
  1. 1.Department of Mechanical EngineeringCelal Bayar UniversityManisaTurkey

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