Northampton Electronic Collection of Theses and Research

Use of computer algebra in Hamiltonian calculations

Banerjee, J. R., Sobey, A. J., Su, H. and Fitch, J. P. (2008) Use of computer algebra in Hamiltonian calculations. Advances in Engineering Software. 39(6), pp. 521-525. 0965-9978.

Item Type: Article
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 elastodynamic 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
Uncontrolled Keywords: Computer algebra; Hamilton’s principle; Structural engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General) > TA630 Structural engineering (General)
T Technology > TA Engineering (General). Civil engineering (General) > TA329 Engineering mathematics. Engineering analysis
Creators: Banerjee, J R, Sobey, A J, Su, Huijuan and Fitch, J P
Publisher: Elsevier
Faculties, Divisions and Institutes: University Faculties, Divisions and Research Centres - OLD > School of Applied Sciences (to 2009) > Engineering (to 2009)
Faculties > Faculty of Arts, Science & Technology > Engineering
Date: June 2008
Date Type: Publication
Page Range: pp. 521-525
Journal or Publication Title: Advances in Engineering Software
Volume: 39
Number: 6
Language: English
ISSN: 0965-9978
Status: Published / Disseminated
Refereed: Yes

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