Sensitivity analysis for actuator placement on an Euler-Bernoulli beam

Author

Stanley, Lisa

Author_Institution

Dept. of Math. Sci., Montana State Univ., Bozeman, MT, USA

Volume

2

fYear

2004

fDate

14-17 Dec. 2004

Firstpage

1532

Abstract

In this paper, we discuss the calculation of sensitivities for the cantilevered Euler-Bernoulli beam with piezoceramic patch actuators. The specific sensitivities in which we are interested are the sensitivities of the state to patch location and size. In particular, the continuous sensitivity equation method (CSEM) is applied to obtain the state sensitivities analytically via a partial differential equation. This equation is then approximated via a Galerkin finite-element scheme, and the approximations to the state and sensitivities can be computed simultaneously. Numerical results are given for a variety of patch locations and sizes.

Keywords

Galerkin method; beams (structures); finite element analysis; partial differential equations; piezoceramics; piezoelectric actuators; sensitivity analysis; Galerkin finite-element; actuator placement; cantilevered Euler-Bernoulli beam; continuous sensitivity equation method; linear quadratic regulator control; partial differential equation; patch location; patch size; piezoceramic patch actuators; sensitivity analysis; state sensitivities; Actuators; Control systems; Damping; Differential equations; Finite element methods; Partial differential equations; Piezoelectric materials; Regulators; Sensitivity analysis; Structural beams;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1430261

Filename

1430261