scholarly journals ASYMMETRIC NON-LINEAR FORCED VIBRATIONS OF FREE-EDGE CIRCULAR PLATES. PART 1: THEORY

2002 ◽  
Vol 258 (4) ◽  
pp. 649-676 ◽  
Author(s):  
C. TOUZÉ ◽  
O. THOMAS ◽  
A. CHAIGNE
Keyword(s):  
Free Edge ◽  
Forced Vibrations ◽  
Circular Plates ◽  
Non Linear

scholarly journals Forced Vibrations of Circular Plates: From Periodic to Chaotic Motions

2010 ◽  
Author(s):  
Cyril Touze´ ◽  
Olivier Thomas ◽  
Marco Amabili
Keyword(s):  
Internal Resonance ◽  
Numerical Study ◽  
Excitation Frequency ◽  
Free Edge ◽  
Forced Vibrations ◽  
Chaotic Regime ◽  
Circular Plates ◽  
Chaotic Motions ◽  
Resonant Modes ◽  
Transition Scenario

A numerical study of the transition from periodic to chaotic motions in forced vibrations of circular plates, is proposed. A pointwise harmonic forcing of constant excitation frequency Ω and increasing values of the amplitude is considered. Perfect and imperfect circular plates with a free edge are studied within the von Ka´rma´n assumptions for large displacements (geometric non-linearity). The transition scenario is observed for different excitation frequencies in the range of the first eigenfrequencies of the plate. For perfect plate with no specific internal resonance relationships, a direct transition to chaos is at hand. For imperfect plate tuned so as to fulfill specific internal resonance relations, a coupling between internally resonant modes is first observed. The chaotic regime shows an attractor of large dimension, and thus is studied within the framework of wave turbulence.

NON-LINEAR FORCED VIBRATIONS OF AN INHOMOGENEOUS LAYER

1999 ◽  
Vol 228 (1) ◽  
pp. 91-108 ◽  
Author(s):  
I. COSKUN ◽  
H. ENGIN ◽  
M.E. ERGÜVEN
Keyword(s):  
Forced Vibrations ◽  
Inhomogeneous Layer ◽  
Non Linear

A Multimode Approach to Geometrically Non-linear Forced Vibrations of Euler–Bernoulli Multispan Beams

2019 ◽  
Vol 8 (2) ◽  
pp. 319-326 ◽  
Author(s):  
Hatim Fakhreddine ◽  
Ahmed Adri ◽  
Said Rifai ◽  
Rhali Benamar
Keyword(s):  
Forced Vibrations ◽  
Non Linear
Sign in / Sign up

Export Citation Format

Share Document