Name
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. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.advengsoft.2007.03.013 | Advances in Engineering Software |
Keywords | Field | DocType |
integration procedure,computer algebra,structural engineering,partial differential equation,twisted beam,idealised helicopter blade,simple example,hamiltonian calculation,hamilton’s principle,complex elastodynamic system,symbolic computation,free vibration,computer algebra package,human cost,hamilton s principle | Mathematical optimization,Algebra,Hamiltonian (quantum mechanics),Computer science,Symbolic computation,Theoretical computer science,Helicopter rotor,Beam (structure),Vibration,Hamilton's principle,Partial differential equation | Journal |
Volume | Issue | ISSN |
39 | 6 | Advances in Engineering Software |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. R. Banerjee | 1 | 0 | 0.34 |
| A. J. Sobey | 2 | 1 | 1.03 |
| H. Su | 3 | 0 | 0.34 |
| J. P. Fitch | 4 | 10 | 3.41 |