Linear and nonlinear actuations in shape control of beams

Kok Keng Ang; Ajit Achuthan; Chien Ming Wang

doi:10.1117/12.420895

21 March 2001 Linear and nonlinear actuations in shape control of beams

Kok Keng Ang, Ajit Achuthan, Chien Ming Wang

Proceedings Volume 4235, Smart Structures and Devices; (2001) https://doi.org/10.1117/12.420895
Event: Smart Materials and MEMS, 2000, Melbourne, Australia

Abstract

Recently, there have been extensive investigations on the shape control of beams using piezoelectric actuators. Most studies, however, assumed linear piezoelectric constitutive equations, which are not valid for actuations involving high electric fields. This paper examines the effect of nonlinear behavior of the piezoelectric materials in the shape control of piezoelectric beams. The governing coupled electromechanical equations for nonlinear material behavior is developed for a general three-dimensional structural element using the Gibbs free energy formulation. Nonlinearity is accounted in the analysis by incorporating an adequate number of nonlinear terms in the Gibbs free energy expression. Since many of the higher order material properties are not available for most of the piezoelectric materials, experimental data that are available for the nonlinear relationship between the electric field and the electric displacement are used. A finite element model is developed for the beam with piezoelectric actuators using a modified bilinear four-node quadratic element. The expression for the actuation voltages required for shape control is then obtained by minimizing an error function, defined as the area between the achieved and desired shape. The final system of coupled equations is solved by an iterative finite element procedure. Comparison of numerical results obtained for both linear and nonlinear piezoelectric behaviors showed the importance of incorporating nonlinear effects in the shape control of piezoelectric beams.

Citation Download Citation

Kok Keng Ang, Ajit Achuthan, and Chien Ming Wang "Linear and nonlinear actuations in shape control of beams", Proc. SPIE 4235, Smart Structures and Devices, (21 March 2001); https://doi.org/10.1117/12.420895

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available