Abstract
Propagating bending waves are studied in plates made of glass-fiber reinforced polyester. The waves are generated by the impact of a ballistic pendulum. Hologram interferometry, with a double pulsed ruby laser as light source, is used to record the out of plane motion of the waves. The interferograms have an elliptic-like symmetry for an orthotropic plate, while the wave pattern for a symmetric angle-ply reinforced plate has a symmetry about the axes of reinforcements. Experimental data are compared on one hand to analytical results obtained by assuming that the orthotropic plate can be described as if isotropic along the main axes, and on the other hand to numerical results from calculations using the finite-element method. The effective Young's modulus raised to power 1/4 is shown to be an important parameter for the description of the dispersive wave pattern. A defect in the plate alters the wave pattern in the interferograms significantly. This may have technical use.
Similar content being viewed by others
References
Fällström, K.-E., Gustavsson, H., Molin, N.-E. and W»hlin, A., “Transient Bending Waves in Plates Studied by Hologram Interferometry,”Experimental Mechanics,29 (4), (Dec. 1989).
Aprahamian, R., Evenson, D.A., Mixson, J.S. andJacoby, J.L., “Holographic Study of Propagating Transverse Waves in Plates,”Experimental Mechanics,11 (8),357–362 (Aug.1971).
Aprahamian, R., Evenson, D.A., Mixson, J.S. andWright, J.L., “Application of Pulsed Holographic Interferometry to the Measurement of Propagating Transverse Waves in Beams,”Experimental Mechanics,11 (7),309–314 (July1971).
Vest, M.V., Holographic Interferometry, John Wiley & Sons, New York (1979).
Molin, N.-E. and Jansson, E.V., “Transient Wave Propagation in Wooden Plates for Musical Instruments,” J. Acoust. Soc. Amer. (June 1988).
Tsai, S.W. andHahn, H.T., An Introduction to Composite Materials, Technomic Publishing Co. Inc., Westport, CT (1980).
Zienkiewicz, O.C., The Finite Element Method, McGraw-Hill, London (1977).
Bazeley, G.-P., Cheung, Y.K., Irons, B.M. and Zienkiewicz, O.C., “Triangular Elements in Plate Bending. Conforming and Nonconforming Solutions,” Proc. 1st Conf. on Matrix Methods in Structural Mechanics, AFFDL-TR-CC-80, Wright-Patterson AFB, OH, 547–576 (1966).
Beltyschko, T. andHughes, T.J.R., Computational Methods for Transient Analysis, North-Holland, Amsterdam (1983).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Fällström, K.E., Lindgren, L.E., Molin, N.E. et al. Transient bending waves in anisotropic plates studied by hologram interferometry. Experimental Mechanics 29, 409–413 (1989). https://doi.org/10.1007/BF02323859
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02323859