Non-Linear vibrations and chaos in harmonically excited rectangular plates with one-to-one internal resonance

1993 ◽  
Vol 4 (5) ◽  
pp. 433-460 ◽  
Author(s):  
S. I. Chang ◽  
A. K. Bajaj ◽  
C. M. Krousgrill
Keyword(s):  
Internal Resonance ◽  
Rectangular Plates ◽  
Non Linear ◽  
Linear Vibrations ◽  
One To One

scholarly journals Non-linear vibrations of free-edge thin spherical shells: Experiments on a 1:1:2 internal resonance

2006 ◽  
Vol 49 (1-2) ◽  
pp. 259-284 ◽  
Author(s):  
O. Thomas ◽  
C. Touzé ◽  
É. Luminais
Keyword(s):  
Internal Resonance ◽  
Free Edge ◽  
Spherical Shells ◽  
Non Linear ◽  
Linear Vibrations

scholarly journals Physically and geometrically non-linear vibrations of thin rectangular plates

2014 ◽  
Vol 58 ◽  
pp. 30-40 ◽  
Author(s):  
Ivan D. Breslavsky ◽  
Marco Amabili ◽  
Mathias Legrand
Keyword(s):  
Rectangular Plates ◽  
Non Linear ◽  
Linear Vibrations

Identification of Non-Linear Damping of Nuclear Reactor Components in Case of One-to-One Internal Resonance

2016 ◽  
Author(s):  
Joachim Delannoy ◽  
Marco Amabili ◽  
Brett Matthews ◽  
Brian Painter ◽  
Kostas Karazis
Keyword(s):  
Fuel Assembly ◽  
Internal Resonance ◽  
Fluid Structure Interaction ◽  
Fundamental Parameter ◽  
Pressurized Water ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Safety Margins ◽  
Non Linear ◽  
One To One

In Pressurized Water Reactors (PWR) assemblies are exposed to challenging thermal, mechanical, and irradiation loads during operation. Global core and local fuel assembly flow fields coupled with seismic excitation result in fuel assembly and fuel rod vibrations. The fact that vibrations may become excessive in certain conditions has consequences on operational safety margins in fuel assemblies designs. In order to understand how the fuel assembly responds dynamically to an external excitation, it is important to identify the main characteristics of the structures. Among them, the fuel assembly system damping is a fundamental parameter that is usually identified by a number of experiments involving fluid-structure interaction. Recent studies have shown that the damping ratio increases with the excitation force when the structure is entering large-amplitude vibrations, in which case the geometric non-linearities have to be taken into account. The present paper presents an advanced identification procedure developed to identify the system characteristics from experimental non-linear response curves obtained from forced vibration tests, accounting for fluid-structure interaction, at different excitation levels. Furthermore, the numerical tool developed in this analysis is capable of working with systems presenting one-to-one internal resonance, i.e. systems with symmetry such as circular tubes and circular cylindrical shells. The method relies on a harmonic decomposition of the displacement to cope with the data usually available by vibration measurements.

Subharmonic responses in harmonically excited rectangular plates with one-to-one internal resonance

1997 ◽  
Vol 8 (4) ◽  
pp. 479-498 ◽  
Author(s):  
Seo Il Chang ◽  
J.M. Lee ◽  
A.K. Bajaj ◽  
C.M. Krousgrill
Keyword(s):  
Internal Resonance ◽  
Rectangular Plates ◽  
One To One

ON THE GALERKIN - ITERATIVE METHOD APPLIED TO THE NON-LINEAR VIBRATIONS OF RECTANGULAR PLATES

2011 ◽  
Author(s):  
Frederico M. A. Silva ◽  
Flávio Augusto X. C. Pinho ◽  
Zenón J. G. N. del Prado ◽  
Paulo B. Gonçalves
Keyword(s):  
Iterative Method ◽  
Rectangular Plates ◽  
Non Linear ◽  
Linear Vibrations
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