Forced Vibrations and Dissipative Heating of Hinged Flexible Viscoelastic Rectangular Plates with Actuators Under Shear Deformation

2018 ◽  
Vol 54 (1) ◽  
pp. 85-93 ◽  
Author(s):  
V. G. Karnaukhov ◽  
V. N. Kozlov ◽  
T. V. Karnaukhova
Keyword(s):  
Shear Deformation ◽  
Dissipative Heating ◽  
Forced Vibrations ◽  
Rectangular Plates

Using phase field and third-order shear deformation theory to study the effect of cracks on free vibration of rectangular plates with varying thickness

2020 ◽  
Vol 71 (7) ◽  
pp. 853-867
Author(s):  
Phuc Pham Minh
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Phase Field ◽  
Deformation Theory ◽  
Plate Thickness ◽  
Shear Deformation Theory ◽  
Rectangular Plates ◽  
Equilibrium Equations ◽  
Third Order ◽  
Free Vibration Frequency

The paper researches the free vibration of a rectangular plate with one or more cracks. The plate thickness varies along the x-axis with linear rules. Using Shi's third-order shear deformation theory and phase field theory to set up the equilibrium equations, which are solved by finite element methods. The frequency of free vibration plates is calculated and compared with the published articles, the agreement between the results is good. Then, the paper will examine the free vibration frequency of plate depending on the change of the plate thickness ratio, the length of cracks, the number of cracks, the location of cracks and different boundary conditions

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
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