Experimental Validation of Lagrange-Rayleigh-Ritz Modeling Technique for Mass Loaded Actively Controlled Panels
Publication: Journal of Aerospace Engineering
Volume 16, Issue 1
Abstract
This paper describes the validation of a Lagrange-Rayleigh-Ritz technique for the mathematical modeling of mass loaded panels for active control studies. The validation has been carried out by comparing the results produced by a Lagrange-Rayleigh-Ritz model with the results produced by a finite-element model and experimental data. Attention was focussed on a simply supported panel with a lumped mass constrained to its surface to simulate the presence of equipment mounted on the panel and twin piezoelectric patches bonded to the panel, working as sensors and actuators. The design of the experimental rig is described in detail, and a test campaign was carried out to obtain a set of transfer functions characteristic of this plant. The experimental data are then used to validate the predictions of the mathematical model. In particular, it was demonstrated that the Lagrange-Rayleigh-Ritz model was able to reproduce accurately the dynamics of the plant requiring a relatively small number of degrees of freedom.
Get full access to this article
View all available purchase options and get full access to this article.
References
Aglietti, G. S., and Cunningham, P. R.(2002). “Is a simple support really that simple?” J. Sound Vib., 257(2), 321–335.
Aglietti, G. S., Cunningham, P. R., and Langley, R. S.(2002). “Verification of various modelling techniques for simply supported piezoelectric actuated thin panels.” Proc. IMechE part G, J. Aerosp. Eng., 216(3), 155–164.
Aglietti, G. S., Gabriel, S. B., Langley, R. S., and Rogers, E.(1997). “A modelling technique for active control design studies with application to spacecraft microvibrations.” J. Acoust. Soc. Am., 102(4), 2158–2166.
Brennan, M. J., Day, M. J., Elliott, S. J., and Pinnington, R. J. (1994). “Piezoelectric actuators and sensors,” Proc. IUTAM Symp. on the Active Control of Vibrations.
Fuller, C. R., Nelson, P. A., and Elliott, S. J. (1996). Active control of vibrations, Academic Press, San Diego.
Huebner and Zienkiewicz, K. H., (2001). The finite element method for engineers, 4th Ed., Wiley, New York.
Jones, D. J., Prasad, S. E., and Wallace, J. B.(1996). “Piezoelectic materials and their applications.” Key Eng. Mater., 122–124.
Zhou, K., Doyle, J., and Glover, K. (1996). Robust and optimal control, Prentice-Hall, Upper Saddle River, N.J.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 16 • Issue 1 • January 2003
Pages: 31 - 37
History
Received: Aug 30, 2002
Accepted: Oct 2, 2002
Published online: Dec 13, 2002
Published in print: Jan 2003
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.