Vibration analysis using symbolic computation software

Author

Pota, Hemanshu R. ; Alberts, Thomas E.

Author_Institution

School of Electr. Eng., Australian Defence Force Acad., Canberra ACT, Australia

Volume

3

fYear

1997

fDate

4-6 Jun 1997

Firstpage

1400

Abstract

This paper presents a general approach to modelling and learning vibration analysis for simple beams using symbolic computation software. The emphasis here is on the fact that a complete solution of the beam vibrations problem, for different boundary conditions and arbitrary forcing functions, is made very simple by using symbolic computation software. The heart of the procedure is to convert the beam vibration problem into a system of simultaneous algebraic linear equations and then use symbolic computation software to solve it. The analysis also shows how to obtain models suitable to design controllers for flexible systems

Keywords

control system CAD; control system analysis computing; dynamics; flexible structures; linear algebra; symbol manipulation; vibration control; algebraic linear equations; beam vibration analysis; boundary conditions; control system CAD; dynamics; flexible systems; modelling; symbolic computation; Boundary conditions; Control design; Design engineering; Differential equations; Frequency; Heart; Laplace equations; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.610656

Filename

610656