Vol. 6, No. 3, pp. 831-851 (2010)
METHOD OF CHARACTERISTICS FOR DYNAMIC
GEOMETRICALLY NON-LINEAR ANALYSIS OF BEAMS
A.S. Shatnawi 1*, S.Z. Al-Sadder 2, M.S. Abdel-Jaber 1, R. A. Othman 3 and N. S. Ahmed 3
1 Associate Professor, Department of Civil Engineering, The University of Jordan, Amman 11942, Jordan
2 Assistant Professor, Department of Civil Engineering, Hashemite University, Zarqa 13115, Jordan
3 Assistant Professor, Department of Civil Engineering, Baghdad University, Baghdad, Iraq
*(Corresponding author: E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.)
Received: 14 January 2009; Revised: 30 October 2009; Accepted: 22 April 2010
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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.
KEYWORDS
Slender beam, large deflection; non-linear dynamics, method of characteristics
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