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Experimental and numerical assessment of the orthotropic-thin-plate model for corrugated panels

: Aoki, Yohko; Maysenhölder, Waldemar

Borkowski, B. ; European Acoustics Association -EAA-:
Forum Acusticum 2014. CD-ROM : Krakow, 7 - 12 September 2014
Krakow, 2014
ISBN: 978-83-61402-28-2
6 S.
Forum Acusticum <7, 2014, Krakow>
European Congress on Acoustics <2014, Krakow>
Fraunhofer IBP ()

Corrugated panels are often employed as construction elements of modern industrial buildings, such as roofs, claddings and walls. The primary objective of the periodic corrugation is to enhance the bending stiffness in one direction. A common method for analyzing the dynamic behavior of these boards uses an orthotropic-thin-plate model: The actual panel is replaced by an 'equivalent' plane homogeneous orthotropic plate of constant 'equivalent' mass per area and with 'equivalent' bending stiffnesses. Since this substitution is by no means trivial, it is essential to study the quality and range of validity of this approximation. A number of researchers derived formulas for equivalent bending stiffnesses of sinusoidal and trapezoidal panels in various manners. The formulas are checked against two simple assessment criteria involving height and period of the corrugation. As the height approaches zero, the curvature of the panel converges to zero. Similarly, as the period approaches infinity, the curvature tends to zero, too. In these limits of zero curvature, the equivalent bending stiffnesses must coincide with those of a flat panel. In the case of infinitely long corrugation period none of the suggested models comply with this requirement. Nevertheless, two equivalent-stiffness models are used to compute eigenfrequencies of freely suspended panels. In addition, measurements and finite-element calculations with COMSOL were performed, which agree well with each other. Good agreement with the results of the approximate models is achieved only for low-order modes.