Nonlinear vibrations of rectangular plates with linearly varying thickness

1975 ◽  
Vol 31 (1) ◽  
pp. 67-80 ◽  
Author(s):  
J. Ramachandran ◽  
D. V. Reddy
Keyword(s):  
Nonlinear Vibrations ◽  
Rectangular Plates ◽  
Varying Thickness

Nonlinear vibrations and damping of fractional viscoelastic rectangular plates

2020 ◽  
Author(s):  
Marco Amabili ◽  
Prabakaran Balasubramanian ◽  
Giovanni Ferrari
Keyword(s):  
Nonlinear Vibrations ◽  
Rectangular Plates

VIBRATIONS OF SIMPLY SUPPORTED RECTANGULAR PLATES WITH VARYING THICKNESS AND SAME ASPECT RATIO CUTOUTS

2001 ◽  
Vol 244 (4) ◽  
pp. 738-745 ◽  
Author(s):  
H.A. LARRONDO ◽  
D.R. AVALOS ◽  
P.A.A. LAURA ◽  
R.E. ROSSI
Keyword(s):  
Aspect Ratio ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Varying Thickness

Nonlinear Vibrations of Plates in Axial Pulsating Flow

2014 ◽  
Author(s):  
E. Tubaldi ◽  
M. Amabili ◽  
F. Alijani
Keyword(s):  
Flow Velocity ◽  
Nonlinear Vibrations ◽  
Plate Theory ◽  
Fluid Model ◽  
Equations Of Motion ◽  
Transmural Pressure ◽  
Pulsating Flow ◽  
Pulsation Frequency ◽  
Rectangular Plates ◽  
Flow Perturbation

A theoretical approach is presented to study nonlinear vibrations of thin infinitely long rectangular plates subjected to pulsatile axial inviscid flow. The case of plates in axial uniform flow under the action of constant transmural pressure is also addressed for different flow velocities. The equations of motion are obtained based on the von Karman nonlinear plate theory retaining in-plane inertia via Lagrangian approach. The fluid model is based on potential flow theory and the Galerkin method is applied to determine the expression of the flow perturbation potential. The effect of different system parameters such as flow velocity, pulsation amplitude, pulsation frequency, and channel pressurization on the stability of the plate and its geometrically nonlinear response to pulsating flow are fully discussed. In case of zero uniform transmural pressure numerical results show hardening type behavior for the entire flow velocity range when the pulsation frequency is spanned in the neighbourhood of the plate’s fundamental frequency. Conversely, a softening type behavior is presented when a uniform transmural pressure is introduced.

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