TY - JOUR
T1 - Use of computer algebra in Hamiltonian calculations
AU - Banerjee, J R
AU - Sobey, A J
AU - Su, H
AU - Fitch, J P
N1 - ID number: ISI:000254068400008
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=38849137838&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1016/advengsoft.2007.03.013
U2 - 10.1016/advengsoft.2007.03.013
DO - 10.1016/advengsoft.2007.03.013
M3 - Article
SN - 0965-9978
VL - 39
SP - 521
EP - 525
JO - Advances in Engineering Software
JF - Advances in Engineering Software
IS - 6
ER -