Use of computer algebra in Hamiltonian calculations

J R Banerjee; A J Sobey; Huijuan Su; J P Fitch

doi:10.1016/j.advengsoft.2007.03.013

Use of computer algebra in Hamiltonian calculations

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

Research output: Contribution to Journal › Article › peer-review

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

Original language	English
Article number	6
Pages (from-to)	521-525
Number of pages	5
Journal	Advances in Engineering Software
Volume	39
Issue number	6
DOIs	https://doi.org/10.1016/j.advengsoft.2007.03.013
Publication status	Published - 1 Jun 2008

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10.1016/j.advengsoft.2007.03.013

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title = "Use of computer algebra in Hamiltonian calculations",

abstract = "The use of Hamilton{\textquoteright}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",

author = "Banerjee, {J R} and Sobey, {A J} and Huijuan Su and Fitch, {J P}",

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AU - Sobey, A J

AU - Su, Huijuan

AU - Fitch, J P

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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 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

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 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

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DO - 10.1016/j.advengsoft.2007.03.013

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JO - Advances in Engineering Software

JF - Advances in Engineering Software

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Use of computer algebra in Hamiltonian calculations

Abstract

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