TECHNICAL PAPERS
Jun 13, 2003

H2 Energy Estimate of Boundary Controlled Vibrating Hybrid Structure Subject to Uncertain Forces

Publication: Journal of Aerospace Engineering
Volume 16, Issue 3

Abstract

We study here a model hybrid system consisting of a flexible rectangular space structure such as a solar cell array, hoisted at one end by a movable rigid hub, set to vibration from certain initial conditions, but subject to uncertain disturbing forces distributed along its length. Assuming that the control of vibrations is sought by a damper at the hub end proportional to a general nonlinear function of the velocity of the point, we obtain an H2 energy estimate of vibrations over a time interval [0,T] in terms of initial energy of the system and the time integral of the L2 norm of the disturbance over the length of the panel. From this, estimates of tolerance level of the disturbances are obtained. Both torsional and flexural modes of vibration are considered.

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References

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Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 16Issue 3July 2003
Pages: 115 - 120

History

Received: Jan 2, 2002
Accepted: Feb 13, 2002
Published online: Jun 13, 2003
Published in print: Jul 2003

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Authors

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Sujit K. Bose
Guest Faculty, Dept. of Computer Science and Engineering, Jadavpur Univ., Calcutta 700032, India; mailing address: BE 188, Salt Lake City, Calcutta 700064, India.
Ganesh C. Gorain
Dept. of Mathematics, J.K. College, Purulia 723101, India.

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