Simulation of a Moving Elastic Beam Using Hamilton's Weak Principle by Elliott Johnathon Leigh
Hamilton's Law is derived in weak form for slender beams with closed cross sections. The result is discretized with mixed space-time finite elements to yield a system of nonlinear, algebraic equations. An algorithm is proposed for solving these equations using unconstrained optimization techniques, obtaining steady-state and time accurate solutions for problems of structural dynamics. This technique provides accurate solutions for nonlinear static and steady-state problems including the cantilevered elastica and flatwise rotation of beams. Modal analysis of beams and rods is investigated to accurately determine fundamental frequencies of vibration, and the simulation of simple maneuvers is demonstrated.| SKU | Unavailable |
| ISBN 13 | 9781249833123 |
| ISBN 10 | 1249833124 |
| Title | Simulation of a Moving Elastic Beam Using Hamilton's Weak Principle |
| Author | Elliott Johnathon Leigh |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Biblioscholar |
| Year published | 2012-10-17 |
| Number of pages | 192 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |