154 Analytical Solution for Free Vibration Design Sensitivity of Simply Supported, Symmetrical Laminated Rectangular Plate

2008 ◽  
Vol 2008 (0) ◽  
pp. _154-1_-_154-4_
Author(s):  
Xilu ZHAO ◽  
Yosihiro NARITA
Keyword(s):  
Analytical Solution ◽  
Free Vibration ◽  
Rectangular Plate ◽  
Design Sensitivity ◽  
Simply Supported

Analytical Solution for Free Vibration of Laminated Curved Beam with Magnetostrictive Layers

2015 ◽  
Vol 07 (03) ◽  
pp. 1550050 ◽  
Author(s):  
R. Bayat ◽  
A. A. Jafari ◽  
O. Rahmani
Keyword(s):  
Analytical Solution ◽  
Free Vibration ◽  
Boundary Conditions ◽  
Material Properties ◽  
Vibration Suppression ◽  
Radius Of Curvature ◽  
Curved Beam ◽  
Velocity Feedback ◽  
Simply Supported ◽  
Distributed Controller

An analytical model to study the free vibration suppression of laminated curved beam with embedded actuating layers is presented in this study. The magnetostrictive layers are used to control and enhance the vibration suppression. The governing differential equations of the model are derived using the Hamilton principle. Analytical solution of the equations governing laminated curved beam with embedded magnetostrictive layers are obtained for simply-supported boundary conditions. Velocity feedback with constant gain distributed controller, by using Terfenol-D as smart material, is chosen to achieve vibration suppression. The effects of material properties, radius of curvature, lamination scheme, and placement of magnetostrictive layers with respect to laminate midplane on vibration suppression are studied in details.

Free Vibration of Rectangular Plates Stiffened With Viscoelastic Beams

1985 ◽  
Vol 52 (2) ◽  
pp. 397-401 ◽  
Author(s):  
K. Ohtomi
Keyword(s):  
Free Vibration ◽  
Rectangular Plate ◽  
Convenient Method ◽  
Laplace Transformation ◽  
Equation Of Motion ◽  
Frequency Equation ◽  
Rectangular Plates ◽  
Dirac Delta ◽  
Simply Supported ◽  
Delta Functions

This investigation treats the free vibration of a simply supported rectangular plate, stiffened with viscoelastic beams. Using a convenient method in which the effects of beams are expressed with Dirac delta functions, the equation of motion can be expressed by only one equation. The frequency equation is obtained by applying the Laplace transformation to the equation of motion. The effects of the volume and the number of beams on the frequency and the logarithmic decrement are clarified.

Large Deflection of a Rectangular Plate Resting on a Pasternak-Type Elastic Foundation

1977 ◽  
Vol 44 (3) ◽  
pp. 509-511 ◽  
Author(s):  
P. K. Ghosh
Keyword(s):  
Rectangular Plate ◽  
Elastic Foundation ◽  
Large Deflection ◽  
Lateral Load ◽  
Bending Moments ◽  
Shear Forces ◽  
Simply Supported ◽  
Base Parameters ◽  
Square Plate

The problem of large deflection of a rectangular plate resting on a Pasternak-type foundation and subjected to a uniform lateral load has been investigated by utilizing the linearized equation of plates due to H. M. Berger. The solutions derived and based on the effect of the two base parameters have been carried to practical conclusions by presenting graphs for bending moments and shear forces for a square plate with all edges simply supported.

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