Forced vibrations of rectangular plates subjected to harmonic loading distributed over a rectangular subdomain

2001 ◽  
Vol 28 (12) ◽  
pp. 1575-1584 ◽  
Author(s):  
R.E Rossi ◽  
R.H Gutiérrez ◽  
P.A.A Laura
Keyword(s):  
Forced Vibrations ◽  
Rectangular Plates ◽  
Harmonic Loading

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

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.

A finite element method for nonlinear forced vibrations of rectangular plates

AIAA Journal ◽  
1985 ◽  
Vol 23 (7) ◽  
pp. 1104-1110 ◽  
Author(s):  
Chuh Mei ◽  
Kamolphan Decha-Umphai
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Element Method

Forced Vibrations of Thin, Elastic, Rectangular Plates with Edges Elastically Restrained Against Rotation

1977 ◽  
Vol 21 (01) ◽  
pp. 24-29
Author(s):  
E. A. Susemihl ◽  
P. A. A. Laura
Keyword(s):  
Bending Moment ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Edge Conditions ◽  
Approach Infinity ◽  
Square Plate ◽  
Elastic Rectangular Plate ◽  
Elastically Restrained ◽  
The Galerkin Method

Polynomial coordinate functions and the Galerkin method are used to determine the response of a thin, elastic, rectangular plate with edges elastically restrained against rotation and subjected to sinusoidal excitation. It is shown that when the flexibility coefficients approach infinity (simply supported edge conditions) the calculated results practically coincide with the exact solution in the case of a square plate when four terms of the expansion are used. Dynamic displacement and bending moment amplitudes are tabulated for different length-to-width ratios, flexibility coefficients, and frequency values.

On the Transverse Vibrations of Rectangular Orthotropic Plates

1958 ◽  
Vol 25 (3) ◽  
pp. 389-395
Author(s):  
N. J. Huffington ◽  
W. H. Hoppmann
Keyword(s):  
Boundary Value Problems ◽  
Orthotropic Material ◽  
Boundary Value ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Orthotropic Plates ◽  
Energy Functions ◽  
Transverse Vibrations ◽  
Flexural Vibrations ◽  
Kinetic And Potential Energies

Abstract Frequency equations and modal eigenfunctions have been determined for the flexural vibrations of rectangular plates of orthotropic material, for those cases which may be treated by the method of M. Lévy (1). In addition, for a broader class of boundary-value problems, an orthogonality criterion for the eigenfunctions has been established and relations for the kinetic and potential energies derived. The value of these energy functions in dealing with forced vibrations is demonstrated.

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.

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