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 |
| DOI: | https://doi.org/10.1016/j.advengsoft.2007.03.013 |
| ISSN: | 0965-9978 |
| Status: | Published / Disseminated |
| Refereed: | Yes |
| URI: | http://nectar.northampton.ac.uk/id/eprint/1886 |
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