Reference Type:  Journal Article
Record Number: 1
Author: Shatnawi, A. S., Al-Sadder, S. Z., Abdel-Jaber, M. S., Othman , R. A. and Ahmed, N. S.
Year: 2010
Title: Method of characteristics for dynamic geometrically non-linear analysis of beams
Journal: Advanced Steel Construction
Volume: 6
Issue: 3
Pages: 21
Start Page: 831
Short Title: Method of characteristics for dynamic geometrically non-linear analysis of beams
DOI: 10.18057/IJASC.2010.6.3.2
Keywords: Slender beam, large deflection; non-linear dynamics, method of characteristics
Abstract: The large deflection of slender beams subjected to dynamic excitation is investigated in this paper. One-dimensional flexural vibration consisting of bending and shear waves is considered. A new formulation for the flexural wave behavior in geometrically non-linear beams is introduced. The formulation of the non-linear governing equations is established by considering elements under the effect of large-deflection and large-rotation while subjected to dynamic excitation. The governing equations are re-written in a numerical form using the method of characteristics. As representative examples, different types of support and load conditions are studied, e.g., cantilever and propped cantilever beams. The results showed that the method of characteristics with the proposed formulation is a suitable method to represent wave propagation phenomena in large deflection.
Author Address: Associate Professor, Department of Civil Engineering, The University of Jordan, Amman 11942, Jordan