An experimental investigation of the non-linear response of a clamped}sliding postbuckled beam subjected to a harmonic axial load is presented. Two types of resonances are considered: fundamental and subharmonic. The data demonstrate several non-linear phenomena including period-doubling sequence bi
EVALUATION OF THE NON-LINEAR DYNAMIC RESPONSE TO HARMONIC EXCITATION OF A BEAM WITH SEVERAL BREATHING CRACKS
โ Scribed by NICOLA PUGNO; CECILIA SURACE; ROMUALDO RUOTOLO
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 190 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
โฆ Synopsis
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 continuously. In this way, a non-linear system of algebraic equations can be de"ned and solved iteratively, with the advantage over direct numerical integration of the equation of motion of being easier and therefore faster to compute.
In this article, the vibrational response to harmonic force of a cantilever beam with cracks of di!erent size and location is analyzed using this &&harmonic balance'' approach and the results are compared with those obtained through numerical integration.
2000 Academic Press
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
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