Use of computer algebra in Hamiltonian calculations

J R Banerjee, A J Sobey, H Su, J P Fitch

Research output: Contribution to journalArticle

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Abstract

The use of Hamilton's Principle in determining the governing partial differential equations of motion for such problems as the free vibration of complex clastodynamic systems has been known for many years, but the implementation of the integration procedure using symbolic computation does not appear to have been solved. In this paper we present the application of a computer algebra package called REDUCE that takes away the human cost. We show the use of this package in a simple example, and for a twisted beam such as an idealised helicopter blade. (c) 2007 Elsevier Ltd. All rights reserved.
LanguageEnglish
Pages521-525
Number of pages5
JournalAdvances in Engineering Software
Volume39
Issue number6
DOIs
StatusPublished - 2008

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Hamiltonians
Helicopters
Algebra
Partial differential equations
Equations of motion
Large scale systems
Costs

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Use of computer algebra in Hamiltonian calculations. / Banerjee, J R; Sobey, A J; Su, H; Fitch, J P.

In: Advances in Engineering Software, Vol. 39, No. 6, 2008, p. 521-525.

Research output: Contribution to journalArticle

Banerjee, J R ; Sobey, A J ; Su, H ; Fitch, J P. / Use of computer algebra in Hamiltonian calculations. In: Advances in Engineering Software. 2008 ; Vol. 39, No. 6. pp. 521-525
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