Vibration of a simply supported rectangular elastic plate due to piezoelectric actuators

1995 ◽  
Author(s):  
J. S. Yang ◽  
Romesh C. Batra ◽  
X. Q. Liang
Keyword(s):  
Elastic Plate ◽  
Piezoelectric Actuators ◽  
Simply Supported ◽  
Rectangular Elastic Plate

Shear Buckling of Simply-Supported Rectangular Elastic Plate

1964 ◽  
Vol 68 (647) ◽  
pp. 773-773
Author(s):  
Bertrand T. Fang
Keyword(s):  
Rectangular Plate ◽  
Elastic Plate ◽  
Critical Loads ◽  
Nontrivial Solutions ◽  
Simply Supported ◽  
Shear Buckling ◽  
Rectangular Elastic Plate ◽  
Image Position

The equation for the buckling of a homogeneous elastic plate is well known For a simply-supported rectangular plate without shear (Nxy=0), the critical loads are usually found by substituting into equation (1) and determining the loads at which nontrivial solutions exist. In the presence of shear, however, the difficulty with the above approach is that the shear term would involve cosines instead of sines.

Bifurcation and Chaos of a 4-Side Simply Supported Rectangular Thin Electro-Magneto-Elastic Plate in Many Fields

2010 ◽  
Vol 97-101 ◽  
pp. 442-448
Author(s):  
Wei Guo Zhu ◽  
Xiang Zhong Bai
Keyword(s):  
Elastic Plate ◽  
Transverse Magnetic ◽  
Temperature Fields ◽  
Bifurcation And Chaos ◽  
Simply Supported ◽  
Runge Kutta Method ◽  
Displacement Wave ◽  
Nonlinear Temperature ◽  
Electro Magnetic ◽  
Chaos Motion

The problem of bifurcation and chaos in a 4-side simply supported rectangular thin electro-magneto-elastic plate in electro-magnetic, mechanical and temperature fields is studied. Based on the basic nonlinear electro-magneto-elastic motion equations for a rectangular thin plate and expressions of electromagnetic forces, vibration equations are derived for the mechanical loading in a nonlinear temperature field and a steady transverse magnetic field. By using Melnikov function method, the criteria are obtained for chaos motion to exist as demonstrated by the Smale horseshoe mapping. The vibration equations are solved numerically by using a fourth-order Runge-Kutta method. Its bifurcation diagram, Lyapunov exponents diagram, displacement wave diagram, phase diagram and Poincare section diagram are obtained for some examples. The characteristics of the vibration system are analyzed, and the roles of parameters on the systems are discussed separately as well, such as electromagnetic field intensity, temperature and mechanical force.

Instability phenomena of a rectangular elastic plate under bending and shear

1993 ◽  
Vol 30 (20) ◽  
pp. 2729-2741 ◽  
Author(s):  
M. Nakazawa ◽  
T. Iwakuma ◽  
S. Kuranishi ◽  
M. Hidaka
Keyword(s):  
Elastic Plate ◽  
Rectangular Elastic Plate

Experiments on Active Control of Plate Vibration Using Piezoelectric Actuators and Polyvinylidene Fluoride (PVDF) Modal Sensors

1994 ◽  
Vol 116 (3) ◽  
pp. 303-308 ◽  
Author(s):  
Y. Gu ◽  
R. L. Clark ◽  
C. R. Fuller ◽  
A. C. Zander
Keyword(s):  
Polyvinylidene Fluoride ◽  
Excitation Frequency ◽  
Piezoelectric Actuators ◽  
Adaptive Controller ◽  
Comparative Test ◽  
Lms Algorithm ◽  
Plate Vibration ◽  
Simply Supported ◽  
Feed Forward Control ◽  
Structural Mode

An experiment was performed to investigate the implementation of shaped PVDF modal sensors on a simply supported rectangular plate to control specific modes of the vibration. The plate was excited by a steady-state harmonic point force while the control was achieved by two independent piezoelectric actuators bonded to the surface of the plate. A two-channel adaptive controller based on the multi-input multi-output filtered X LMS algorithm was used to provide feed-forward control. Two PVDF modal sensors were shaped such that the (3,1) mode was the dominant structural mode observed by the sensors. With this configuration, the amplitude of the (3,1) mode can be minimized regardless of excitation frequency. A comparative test was performed by using two accelerometers as error sensors. Results indicate that for both on and off-resonance excitations, the shaped PVDF modal sensors are superior to point-error sensors, such as accelerometers for controlling specific structural modes.

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