Axial stiffness matrix of non-uniform Bernoulli-Euler bar element

Sulaeman, Erwin (2011) Axial stiffness matrix of non-uniform Bernoulli-Euler bar element. In: Advances in Aircraft Structures. IIUM Press, Kuala Lumpur, pp. 233-239. ISBN ISBN 978-967-418-148-2

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Abstract

This chapter describes the procedure to develop the axial stiffness matrix of beam element having arbitrary variation of axial stiffness distribution along its span. To obtain analytical formulation, the stiffness matrix is constructed from the flexibility matrix. A Bernoulli-Euler differential equation that relates the load and deformation angle derived first. The general rational function resulting from the integration of the Bernoulli-Euler is transformed to a simpler rational function using a minimum denominator rational function procedure.

Item Type:	Book Chapter
Uncontrolled Keywords:	Axial stiffness matrix, non-prismatic beam, finite element method
Subjects:	T Technology > TL Motor vehicles. Aeronautics. Astronautics > TL500 Aeronautics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User:	Dr Erwin Sulaeman
Date Deposited:	16 Jul 2012 21:55
Last Modified:	16 Jul 2012 21:56
URI:	http://irep.iium.edu.my/id/eprint/22817

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