Approximate solution on smart composite beams by using MATLAB

Abstract In this paper, a model to demonstrate the dynamic analysis of composite beams with bonded or embedded piezoelectric sensors and actuators is presented. The governing equation of laminated composite beams with piezoelectric laminae, which is based on linear piezoelectricity, and includes the coupling between mechanical deformations and the charge equations of electrostatics, is developed. The Reissner–Mindlin plate theory is used in formulating this beam model. Finally, the approximate solution of this beam model by using MATLAB is also presented.

[1]  John Anthony Mitchell,et al.  A refined hybrid plate theory for composite laminates with piezoelectric laminae , 1995 .

[2]  R. D. Mindlin,et al.  Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates , 1951 .

[3]  Sathya Hanagud,et al.  Electronic damping techniques and active vibration control , 1985 .

[4]  Horn-Sen Tzou,et al.  Theoretical analysis of a multi-layered thin shell coupled with piezoelectric shell actuators for distributed vibration controls , 1989 .

[5]  H. S. Tzou,et al.  Electromechanics and Vibrations of Piezoelectric Shell Distributed Systems , 1993 .

[6]  C. K. Lee.  Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: Governing equations and reciprocal relationships , 1990 .

[7]  Brian Culshaw,et al.  Smart structures and applications in civil engineering , 1996, Proc. IEEE.

[8]  Inderjit Chopra,et al.  Structural modeling of composite beams with induced-strain actuators , 1993 .

[9]  Edward F. Crawley,et al.  Intelligent structures for aerospace - A technology overview and assessment , 1994 .

[10]  Y. Stavsky,et al.  Elastic wave propagation in heterogeneous plates , 1966 .

[11]  Singiresu S. Rao,et al.  Piezoelectricity and Its Use in Disturbance Sensing and Control of Flexible Structures: A Survey , 1994 .

[12]  Kenneth B. Lazarus,et al.  Induced strain actuation of isotropic and anisotropic plates , 1991 .

[13]  K. Chandrashekhara,et al.  Vibration Suppression of Composite Beams with Piezoelectric Devices Using a Higher Order Theory , 1997 .

[14]  Carl H. Gerhold,et al.  Active Control of Flexural Vibrations in Beams , 1987 .

[15]  Ali H. Nayfeh,et al.  A refined nonlinear model of composite plates with integrated piezoelectric actuators and sensors , 1993 .

[16]  E. Crawley,et al.  Use of piezoelectric actuators as elements of intelligent structures , 1987 .

[17]  T. Bailey,et al.  Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam , 1985 .

[18]  Peninsula Technikon.  Approximate Analytical Solutions for Vibration Control of Smart Composite Beams , 1999 .

[19]  Satya N. Atluri,et al.  Effects of a Piezo-Actuator on a Finitely Deformed Beam Subjected to General Loading , 1989 .

[20]  K. Chandrashekhara,et al.  Active Vibration Control of Laminated Composite Plates Using Piezoelectric Devices: A Finite Element Approach , 1993 .

[21]  Craig A. Rogers,et al.  Laminate Plate Theory for Spatially Distributed Induced Strain Actuators , 1991 .

[22]  Da Huang.  Approximate analytical solutions for vibration control of smart composite beams , 1999 .