TECHNICAL PAPERS
Aug 1, 1990

Experiments with Free Vibration of Light Roofs Backed by Cavities

Publication: Journal of Engineering Mechanics
Volume 116, Issue 8

Abstract

This paper complements the theoretical study of the same subject. The aim is to verify the theory formulated in the companion paper. Free vibration of large‐span, self‐supported, lightweight roofs backed by cavities with wall openings is experimentally investigated in the laboratory using two model roofs: a circular membrane roof and a flexible, circular plate behaving in a flexural way. Similarity requirements of the roof‐air system are reviewed. The influence of wall openings on the frequencies and total damping of the structure is investigated. Comparison of the experimental results with those of the theoretical analysis formulated by the writers is made. Excellent agreement between the theory and experiments is obtained. The notions of a leaking kettledrum and a Helmholtz oscillator with a flexible wall are confirmed. The air movement through the wall openings as well as the acoustical damping associated with the motion of both the roof and the air mass at the openings have significant effects on roof natural frequencies and modal damping. The volume of the enclosure under the roof has also a marked effect.

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References

1.
Bobrowski, J. (1987). “The Saddledome: The Olympic ice stadium in Calgary.” Canadian J. Civ. Engrg., 14, Apr., 239–256.
2.
Draisey, S. (1987). “The influence of wall openings on the dynamic behavior of large span roofs.” Thesis presented to the University of Western Ontario, at London, Canada, in partial fulfillment of the requirements for the degree of Master of Science.
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El Ashkar, I. D. (1983). “Response of cable roofs to wind.” Thesis presented to the University of Western Ontario, at London, Canada, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
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El Ashkar, I. D., and Novak, M. (1983). “Wind tunnel studies of cable roofs.” J. Wind Eng. Ind. Aerodyn., 13, 407–419.
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Kassem, M., and Novak, M. (1988). “Free vibration of light roofs backed by cavities with openings.” Proc. Ninth Symp. on Engrg. Applications of Mech., The Univ. of Western Ontario, London, Ontario, Canada, May 29–31, 32–41.
7.
Novak, M., and Kassem, M. (1989a). “Effect of leakage and acoustical damping on free vibration of light roofs backed by cavities.” Proc. Sixth U.S. Nat. Conf. On Wind Engrg., Univ. of Houston, Houston, Tex., Mar. 8–10, I, B2‐1–B2‐12.
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Novak, M., and Kassem, M. (1989b). “Free vibration of light roofs backed by cavities.” J. Engrg. Mech., Mar.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 8August 1990
Pages: 1750 - 1763

History

Published online: Aug 1, 1990
Published in print: Aug 1990

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Authors

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Magdy Kassem
Res. Asst., Dept. Civ. Engrg., Univ. of Western Ontario, London, Canada N6A 5B9
Milos Novak, Fellow, ASCE
Prof., Dept. of Civ. Engrg., Univ. of Western Ontario, London, Canada

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