Parametric Vibrations of Viscoelastic Rectangular Plates with Concentrated Masses

2021 ◽  
pp. 72-79
Author(s):  
Mirziyod Mirsaidov ◽  
Nikolay Vatin ◽  
Rustamkhan Abdikarimov ◽  
Dadakhan Khodzhaev ◽  
Bakhodir Normuminov
Keyword(s):  
Rectangular Plates ◽  
Parametric Vibrations ◽  
Concentrated Masses

CONTROL OF STEADY-STATE VIBRATIONS OF RECTANGULAR PLATES

2011 ◽  
Vol 11 (03) ◽  
pp. 535-562 ◽  
Author(s):  
K. A. ALSAIF ◽  
M. A. FODA
Keyword(s):  
Steady State ◽  
Function Method ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Selected Lines ◽  
Numerical Examples ◽  
Nodal Lines ◽  
Free And Forced Vibrations ◽  
Concentrated Masses ◽  
The Given

The focus of the present research is to eliminate the undesired steady-state vibrations at selected lines or locations in a vibrating plate by means of adding attachments at arbitrary selected locations. These attachments can be either added concentrated masses and/or translational or rotational springs which are connected to the plate at one end and grounded at the other. The case of attachment of translational and/or rotational oscillators systems is examined. In addition, imposing lines of zero displacements (nodal lines) at selected locations are also investigated. The dynamic Green's function method is employed. Several numerical examples are cited to verify the utility of the proposed method. In addition, sample experiments to measure the plate free and forced vibrations for the given boundary conditions are conducted and the experimental measurements are compared with the analytical results.

Effect of concentrated masses with rotary inertia on vibrations of rectangular plates

2006 ◽  
Vol 295 (1-2) ◽  
pp. 1-12 ◽  
Author(s):  
M. Amabili ◽  
M. Pellegrini ◽  
F. Righi ◽  
F. Vinci
Keyword(s):  
Rotary Inertia ◽  
Rectangular Plates ◽  
Concentrated Masses

scholarly journals Dynamic stability of viscoelastic rectangular plates with concentrated masses

2020 ◽  
Vol 896 ◽  
pp. 012030
Author(s):  
Dadakhan Khodzhaev ◽  
Rustamkhan Abdikarimov ◽  
Bakhodir Normuminov
Keyword(s):  
Dynamic Stability ◽  
Rectangular Plates ◽  
Concentrated Masses

Complex Parametric Vibrations of Flexible Rectangular Plates

Meccanica ◽  
2004 ◽  
Vol 39 (3) ◽  
pp. 221-244 ◽  
Author(s):  
J. Awrejcewicz ◽  
V.A. Krysko ◽  
A.V. Krysko
Keyword(s):  
Rectangular Plates ◽  
Parametric Vibrations

Transition Mechanisms Attendant to Large Amplitude Parametric Vibrations of Rectangular Plates

1967 ◽  
Vol 89 (4) ◽  
pp. 619-625 ◽  
Author(s):  
J. H. Somerset
Keyword(s):  
Rectangular Plate ◽  
Large Amplitude ◽  
Strong Influence ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Parametric Vibrations ◽  
Periodic Load ◽  
Simply Supported ◽  
Stochastic Loading ◽  
Parametric Oscillations

Experiments have been conducted to investigate the transition mechanisms attendant to the parametric vibrations of a simply supported rectangular plate subjected to a periodic load of the form P = P0 + P1 cos γt. It is found that the transition mechanisms, such as “jumps” within the zone and “dropout” from the zone, are influenced by the initial curvature of the plate and by interactions with the source of energy. Due to the possibility of transitions between the parametric oscillations and forced vibrations of the plate, “splitting” of the zone may occur. Preliminary experiments indicate that the transition mechanisms have a strong influence on the response of the plate to stochastic loading.

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