Distributed port hamiltonian formulation of flexible beams under large deformations

Author

Nishida, Gou ; Yamakita, Masaki

Author_Institution

Dept. of Mech. Control Syst., Tokyo Inst. of Technol.

fYear

2005

fDate

28-31 Aug. 2005

Firstpage

589

Lastpage

594

Abstract

In this paper, a formulation of flexible beams under large deformations for distributed parameter port Hamiltonian systems is presented. This model is one example of systems that have complex energy variables. For such a model, a unified modeling method is introduced with multivariable representation. First, a Stokes-Dirac structure is related to the calculus of variations by using a jet bundle formalism. Next, the flexible beams model is represented as the port Hamiltonian system. Finally, the model is compared to a conventional model and two reduced models

Keywords

beams (structures); deformation; distributed parameter systems; flexible structures; multivariable systems; Stokes-Dirac structure; complex energy variable; deformation; distributed parameter system; distributed port Hamiltonian formulation; flexible beams; jet bundle formalism; multivariable representation; unified modeling; Calculus; Control systems; Damping; Distributed parameter systems; Equations; MIMO; Mechanical variables control; Power supplies; Power system modeling; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 2005. CCA 2005. Proceedings of 2005 IEEE Conference on

Conference_Location

Toronto, Ont.

Print_ISBN

0-7803-9354-6

Type

conf

DOI

10.1109/CCA.2005.1507190

Filename

1507190