On Time-Optimal Vibration Control of One-Dimensional Distributed Parameter Systems

• Autorzy: Cupiał, P.
• Języki publikacji: EN

Abstrakty

EN

The paper is concerned with the calculation of time-optimal, open-loop controls of one-dimensional vibrating systems (strings and beams). The problem consists in finding the forces or kinematic excitations which bring the initial displacements and velocities or the transient response of the system to zero in the shortest time. The solutions of the vibration problems are expressed in terms of Fourier series and the selection of the optimum solution is reduced to the l-problem of moments. Explicit time-optimal boundary controls are calculated for several cases including a string controlled by a force or displacement applied at one end and a beam with a control moment at the end. In the case of boundary control generalized Fourier solutions are used which are discussed at some length.

Słowa kluczowe

EN

vibration control; continuous systems; distributed parameters; strings; beams

• Czasopismo: Machine Dynamics Problems
• Rocznik: 2005
• Tom: Vol. 29, No. 2
• Strony: 5-22
• Opis fizyczny: Bibliogr. 15 poz., wykr.

Twórcy

autor

Cupiał, P.

• Institute of Applied Mechanics, Cracow University of Technology,

Bibliografia

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