scholarly journals Nonlinear dynamics of rectangular plates: investigation of modal interaction in free and forced vibrations

2013 ◽  
Vol 225 (1) ◽  
pp. 213-232 ◽  
Author(s):  
Michele Ducceschi ◽  
Cyril Touzé ◽  
Stefan Bilbao ◽  
Craig J. Webb
Keyword(s):  
Nonlinear Dynamics ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Modal Interaction ◽  
Free And Forced Vibrations

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.

Free and forced vibrations of SC-cut quartz crystal rectangular plates with the first-order Mindlin plate equations

Ultrasonics ◽  
2017 ◽  
Vol 73 ◽  
pp. 96-106 ◽  
Author(s):  
Rongxing Wu ◽  
Wenjun Wang ◽  
Guijia Chen ◽  
Hui Chen ◽  
Tingfeng Ma ◽  
...  
Keyword(s):  
Quartz Crystal ◽  
Forced Vibrations ◽  
Mindlin Plate ◽  
Rectangular Plates ◽  
First Order ◽  
Free And Forced Vibrations ◽  
Plate Equations

Transverse Vibrations of Clamped Rectangular Plates of Generalized Orthotropy Subjected To In-Plane Forces

1980 ◽  
Vol 102 (2) ◽  
pp. 399-404 ◽  
Author(s):  
P. A. A. Laura ◽  
L. E. Luisoni
Keyword(s):  
Exact Solution ◽  
Variational Method ◽  
Forced Vibrations ◽  
Stiffened Plates ◽  
Rectangular Plates ◽  
Structural Element ◽  
Transverse Vibrations ◽  
Free And Forced Vibrations ◽  
Title Problem ◽  
Algorithmic Procedure

An exact solution of the title problem is probably out of the question. It is shown in the present study that a very simple solution can be obtained using simple polynomials and a variational method. Free and forced vibrations of the structural element are analyzed in a unified manner. The algorithmic procedure can be implemented in a microcomputer. The problem is of particular interest in certain filamentary plates as well as of obliquely stiffened plates.

scholarly journals Static and Dynamic Behavior of Circular Cylindrical Shell Made of Hyperelastic Arterial Material

2016 ◽  
Vol 83 (5) ◽  
Author(s):  
Ivan D. Breslavsky ◽  
Marco Amabili ◽  
Mathias Legrand
Keyword(s):  
Nonlinear Dynamics ◽  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Single Mode ◽  
Forced Vibrations ◽  
Dynamic Responses ◽  
Free And Forced Vibrations ◽  
Static Responses ◽  
Radial Forces ◽  
Mode Response

Static and dynamic responses of a circular cylindrical shell made of hyperelastic arterial material are studied. The material is modeled as a combination of Neo-Hookean and Fung materials. Two types of pressure loads are studied—distributed radial forces and deformation-dependent pressure. The static responses of the shell under these two loads differ essentially at moderate strains, while the behavior is similar for small loads. The principal difference is that the axial displacements are much larger for the shell under distributed radial forces, while for actual pressure the shell is stretched both in circumferential and axial directions. Free and forced vibrations around preloaded configurations are analyzed. In both cases, the nonlinearity of the single-mode (driven mode) response of the preloaded shell is quite weak, but a resonant regime with both driven and companion modes active has been found with more complicated nonlinear dynamics.

Nonlinear Free and Forced Vibrations of Symmetric Laminated Panels

2011 ◽  
Vol 471-472 ◽  
pp. 616-621 ◽  
Author(s):  
Alireza Shooshtari ◽  
Soheil Razavi ◽  
Hadi Ghashochi Bargh ◽  
Mohammad Homayoun Sadr-Lahidjani
Keyword(s):  
Perturbation Method ◽  
External Force ◽  
Laminated Composite ◽  
Composite Plates ◽  
Forced Vibrations ◽  
Numerical Results ◽  
Transverse Displacement ◽  
Laminated Composite Plates ◽  
Free And Forced Vibrations ◽  
Laminated Panels

In this paper, free and forced vibrations of symmetric laminated composite plates are studied analytically by using a perturbation method where the analytical results for transverse displacement are compared with the numerical results. The external force is taken to be harmonic in time and having uniform amplitude.

Forced vibrations of SC-cut quartz crystal rectangular plates with partial electrodes by the Lee plate equations

Ultrasonics ◽  
2016 ◽  
Vol 65 ◽  
pp. 338-344 ◽  
Author(s):  
Rongxing Wu ◽  
Wenjun Wang ◽  
Guijia Chen ◽  
Jianke Du ◽  
Tingfeng Ma ◽  
...  
Keyword(s):  
Quartz Crystal ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Plate Equations
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