The concern of this work is the steady state periodic response having the same period as the excitation of strongly non-linear oscillators u d u mu e 1 u 2 u e 1 u u 2 e 2 u 3 P cos Ot, where m = 1, 0 or ร1, e 1 and e 1 are positive parameters which may be arbitrarily large. Single-mode and two-mode
THE EFFECT OF NON-LINEAR INERTIA ON THE STEADY STATE RESPONSE OF A BEAM SYSTEM SUBJECTED TO COMBINED EXCITATIONS
โ Scribed by R.-F. Fung
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 284 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, a method is proposed for modelling large de#ection beam response involving multiple vibration modes. Signi"cant savings in computational time can be obtained compared with the direct integration non-linear "nite element method. The de#ections from a number of static non-linear "nite e
A new approximate technique developed by Mansour and Hussein [1] has been used to solve a non-linear differential equation model that describes the underdamped and the overdamped motion of systems subjected to step function excitation. The analytical results obtained in this work have been compared
The aim of this article is to present a technique capable of evaluating the dynamic response of a beam with several breathing cracks perpendicular to its axis and subjected to harmonic excitation. The method described is based on the assumption of periodic response and that cracks open and close con
The semi-analytical approach to the non-linear dynamic response of beams based on multimode analysis has been presented in Part I of this series of papers (Azrar et al., 1999 Journal of Sound and <ibration 224, 183}207 [1]). The mathematical formulation of the problem and single mode analysis have b