Cross-Laminated Timber Plates: Evaluation and Verification of Homogenized Elastic Properties
Publication: Journal of Structural Engineering
Volume 133, Issue 1
Abstract
Cross-laminated solid wood panels are used in timber structures as load bearing plates and shear panels. Since timber is a relatively soft construction material, the design of such structures is driven by serviceability criteria. Therefore, accurate elastic properties are required. In this paper a fully automated procedure to determine global elastic properties of full-scale cross-laminated wood panels is developed. Experimental modal analysis is used to determine resonance frequencies and mode shapes of rectangular wooden specimens. An analytical model based on Reddy’s higher order plate theory is applied to calculate natural frequencies and mode shapes numerically. Corresponding frequencies are allocated using the modal assurance criterion. All three shear moduli and the two in-plane stiffness moduli are identified successfully by minimizing the difference between measured and estimated resonance frequencies in a total least squares sense. By comparing resonance frequencies and additionally by a static bending experiment, it is shown that the global mechanical behavior of the specimen is accurately described using an orthotropic, homogenized, linear elastic material behavior.
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References
Akaike, H. (1974). “New look at statistical-model identification.” IEEE Trans. Autom. Control, AC19(6), 716–723.
Bastos, S. F., Borges, L., and Rochinha, F. A. (2002). “Numerical and experimental approach for identifying elastic parameters in sandwich plates.” Shock Vib., 9(4–5), 193–201.
Britt, H. I., and Luecke, R. H. (1973). “Estimation of parameters in nonlinear, implicit models.” Technometrics, 15(2), 233–247.
Bucur, V., and Archer, R. R. (1984). “Elastic-constants for wood by an ultrasonic method.” Wood Sci. Technol., 18(4), 255–265.
Chimenti, D. (1997). “Guided waves in plates and their use in materials characterization.” Appl. Mech. Rev., 50(5), 247–284.
Ditri, J. J. (1994). “On the determination of the elastic-moduli of anisotropic media from limited acoustical data.” J. Acoust. Soc. Am., 95(4), 1761–1767.
Frederiksen, P. S. (1997a). “Experimental procedure and results for the identification of elastic constants of thick orthotropic plates.” J. Compos. Mater., 31(4), 360–382.
Frederiksen, P. S. (1997b). “Numerical studies for the identification of orthotropic elastic constants of thick plates.” Eur. J. Mech. A/Solids, 16(1), 117–140.
Grediac, M., and Paris, P. A. (1996). “Direct identification of elastic constants of anisotropic plates by modal analysis: Theoretical and numerical aspects.” J. Sound Vib., 195(3), 401–415.
Gsell, D., and Dual, J. (2004). “Non-destructive evaluation of elastic material properties in anisotropic circular cylindrical structures.” Ultrasonics, 43(2), 123–132.
Hua, Y., and Sarkar, T. K. (1990). “Matrix pencil method for estimating parameters of exponentially damped undamped sinusoids in noise.” IEEE Trans. Acoust., Speech, Signal Process., 38(5), 814–824.
Larsson, D. (1997). “Using modal analysis for estimation of anisotropic material constants.” J. Eng. Mech., 123(3), 222–229.
Machek, L., Militz, H., and Sierra-Alvarez, R. (2001). “The use of an acoustic technique to assess wood decay in laboratory soil-bed tests.” Wood Sci. Technol., 34(6), 467–472.
Maia, N. M. M., and Silva, J. M. M. (1997). Theoretical and experimental modal analysis, Research Studies Press, Taunton, Somerset, England.
Mindlin, R. D. (1951). “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates.” Trans. ASME, 18(1), 31–38.
Reddy, J. N. (1984). “A simple higher-order theory for laminated composite plates.” Trans. ASME, J. Appl. Mech., 51(4), 745–752.
Reddy, V. U., and Biradar, L. S. (1993). “Svd-based information-theoretic criteria for detection of the number of damped undamped sinusoids and their performance analysis.” IEEE Trans. Signal Process., 41(9), 2872–2881.
Rose, J. (1999). Ultrasonic waves in solid media, Cambridge University Press, Cambridge.
Sobue, N., and Kitazumi, M. (1991). “Identification of power spectrum peaks of vibrating completely-free wood plates and moduli of elasticity measurements.” Mokuzai Gakkaishi, 37(1), 9–15.
Stamer, J. (1935). “Elastizitaetsuntersuchungen an Hoelzer.” Ing.-Arch., VI(1), 1–8.
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© 2007 ASCE.
History
Received: Jul 25, 2005
Accepted: Jun 21, 2006
Published online: Jan 1, 2007
Published in print: Jan 2007
Notes
Note. Associate Editor: J. Daniel Dolan
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