Large amplitude forced vibrations of multi-stepped beams carrying concentric masses

The general purpose of the present study is to investigate the geometrically non-linear forced vibration of multi-stepped beams carrying masses. This study was carried out on the basis of Euler-Bernoulli beam theory and Von Karman's assumptions of geometric non-linearity. The linear problem is...

Full description

Saved in:
Bibliographic Details
Published in:Mechanics research communications 2023-10, Vol.132, p.104163, Article 104163
Main Authors: Hantati, I.El, Adri, A., Khouddar, Y.El, Fakhreddine, H., Outassafte, O., Benamar, R.
Format: Article
Language:English
Subjects:
Concentred masses
Forced vibrations
Nonlinear vibrations
Stepped beam
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The general purpose of the present study is to investigate the geometrically non-linear forced vibration of multi-stepped beams carrying masses. This study was carried out on the basis of Euler-Bernoulli beam theory and Von Karman's assumptions of geometric non-linearity. The linear problem is firstly solved, and then the discrete expressions of total strain and kinetic energies are derived. By applying Hamilton's principle, the problem is reduced to a non-linear algebraic system solved by a multi-mode approach. The numerical results are discussed following parametric studies, where the effect of varying section, inertia, length ratios and mass magnitude on the non-linear dynamic behaviour of the beam-mass system is illustrated.
ISSN:0093-6413
1873-3972
DOI:10.1016/j.mechrescom.2023.104163