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Nonlinear programming solutions for controlling the vibration pattern of stretched strings

Dutt, Narayana D and Ramakrishna, BS (1978) Nonlinear programming solutions for controlling the vibration pattern of stretched strings. In: Computer Methods in Applied Mechanics and Engineering, 13 (3). pp. 351-361.

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Official URL: http://dx.doi.org/10.1016/0045-7825(78)90067-1

Abstract

The problem of controlling the vibration pattern of a driven string is considered. The basic question dealt with here is to find the control forces which reduce the energy of vibration of a driven string over a prescribed portion of its length while maintaining the energy outside that length above a desired value. The criterion of keeping the response outside the region of energy reduction as close to the original response as possible is introduced as an additional constraint. The slack unconstrained minimization technique (SLUMT) has been successfully applied to solve the above problem. The effect of varying the phase of the control forces (which results in a six-variable control problem) is then studied. The nonlinear programming techniques which have been effectively used to handle problems involving many variables and constraints therefore offer a powerful tool for the solution of vibration control problems.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 23 Sep 2010 09:30
Last Modified: 23 Sep 2010 09:30
URI: http://eprints.iisc.ernet.in/id/eprint/32373

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