Theory for Thermally Induced Roof Noise
Publication: Journal of Structural Engineering
Volume 111, Issue 11
Abstract
This paper presents a theoretical analysis of thermally induced noise in sheet metal roofs. A quasi‐static model of the roof behavior is developed based on roof support batten frictional forces constraining the thermal expansion and contraction of the sheeting. As a result, in‐plane stresses, set up in the sheeting, build up until the static frictional force limit is exceeded at one of the fasteners. At this point the sheeting slips over the batten at that fastener, the local frictional force is reduced to the dynamic frictional force limit, and a redistribution of in‐plane stresses and fastener forces occurs. The redistribution can cause an overload of an adjacent fastener frictional force to exceed its limit, thereby inducing another slip. The sequence will continue until all frictional forces are below the static frictional force limit. The change in deflection pattern of the roof accompanying each slip is used to estimate the noise generated. With the assumptions that the curvature strain is small relative to the thermal strain, the coefficients of friction at each batten are identical and the batten spacing is uniform, the theory may be used to derive considerable detail of the slip cascade pattern and to determine expressions for the rate of noise bursts, for the necessary temperature change to cause a roof to change from “heating” to “cooling” cycling, and for the impulsive noise level.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
ASHRAE Handbook of Fundamentals, American Society of Heating, Refrigerating and Air‐Conditioning Engineers, Inc., New York, N.Y., 1977.
2.
Beranek, L. L., Ed., Noise and Vibration Control, McGraw‐Hill Book Co., New York, N.Y., 1971.
3.
Courant, R., Differential and Integral Calculus, Vol. I, John Wiley & Sons, New York, N.Y., 1937.
4.
Leissa, W. A., “Vibration of Plates,” National Aeronautics and Space Administration, Washington, D.C., NASA SP‐160, 1969.
5.
Timoshenko, S., and Woinowski‐Krieger, S., Theory of Plates and Shells, 2nd ed., McGraw‐Hill Book Co., New York, N.Y., 1959.
Information & Authors
Information
Published In
Copyright
Copyright © 1985 ASCE.
History
Published online: Nov 1, 1985
Published in print: Nov 1985
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.