The active wave control of the linear, axially moving string with general boundary conditions is presented in this paper. Considerations of general boundary conditions are important from both practical and experimental viewpoints. The active control law is established by employing the idea of wave c
ACTIVE BOUNDARY CONTROL OF ELASTIC CABLES: THEORY AND EXPERIMENT
โ Scribed by C.F. Baicu; C.D. Rahn; B.D. Nibali
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 244 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Cables are lightweight structural elements used in a variety of engineering applications. In this paper an active boundary control system is introduced that damps undesirable vibrations in a cable. Using Hamilton's principle, the governing non-linear partial differential equations for an elastic cable are derived, including the natural boundary conditions associated with boundary force control. Based on Lyapunov theory, passive and active vibration controllers are developed. A Galerkin approach generates the linearized, closed loop, modal dynamics equations for out-of-plane vibration. Simulations and experiments demonstrate the improved damping provided by the active boundary controller.
๐ SIMILAR VOLUMES
A theoretical model is presented that describes the non-linear, three-dimensional response of a suspended cable supporting an array of discrete masses. The equations of motion for the cable/mass suspension are linearized about a generally sagged and supported equilibrium state and the eigensolutions