Low Velocity Impact of a Viscoelastic Beam

[+] Author and Article Information
R. E. Llorens

Pennsylvania State University, Radnor Center for Graduate Studies, Radnor, Pa. 19081

E. J. McQuillen

Aircraft and Crew Systems Technology, Naval Air Development Center, Warminster, Pa. 18974

J. Eng. Ind 104(2), 210-215 (May 01, 1982) (6 pages) doi:10.1115/1.3185821 History: Received October 26, 1981; Online July 30, 2009


A theoretical solution for the response of a viscoelastic beam to off-center low speed transverse impact is presented. The flexural model adopted for investigation consists of a uniform Bernoulli-Euler beam whose behavior has been generalized to include a linear viscoelastic constitutive relation for each element of the beam. Further, the beam and rigid impactor are assumed to remain in contact during the resulting motion and a consistent set of initial displacement and velocity distributions is adopted for the beam. The solution method utilizes two Laplace transforms, i.e., one with respect to space and the other with respect to time. Comparison of the numerical predictions of the theoretical model with central impact test results on graphite-epoxy composite laminates indicates a good agreement between theory and experiment.

Copyright © 1982 by ASME
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