Abstract
In this paper, Hamilton's principle is used to derive the dynamic equilibrium equations of beams of generic section. The displacements are defined on an arbitrarily selected co-ordinate system. For Hamilton's principle, the dynamic behavior of non-prismatic beams is characterized by two energy functions: a kinetic energy and a potential energy. The formulation uses the procedure of variational operations. The dynamic equilibrium equations and natural boundary conditions obtained are strongly coupled.
Original language | English |
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Pages (from-to) | 241-260 |
Number of pages | 20 |
Journal | Journal of Sound and Vibration |
Volume | 230 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2000 Feb 17 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanics of Materials
- Acoustics and Ultrasonics
- Mechanical Engineering