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Shock and Vibration
Volume 4, Issue 2, Pages 125-141

Behavior of Uniform Anisotropic Beams of Rectangular Section under Transverse Impact of a Mass

Lu Chun and K. Y. Lam

Department of Mechanical & Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, 0511, Singapore

Revised 27 October 1994; Accepted 30 October 1996

Copyright © 1997 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A numerical method is presented to investigate the dynamic response of uniform orthotropic beams subjected to an impact of a mass. Higher order shear deformation and rotary inertia are included in the analysis of the beams. The impactor and laminated composite beam are treated as a system. The nonlinear differential governing equations of motion are then derived based on the Lagrange principle and modified nonlinear contact law, and solved numerically. The solution procedure is applicable to arbitrary boundary conditions. Numerical results are compared with those available in the literature to demonstrate the validity of the method, and very good agreement is achieved. The effects of boundary conditions on the contact force, contact duration, stress distributions, and beam deflection are discussed.