منابع مشابه
A screw theory of static beams
In this article we derive the deflection equation of a simple beam using screw theory. The effects of tension, torsion and bending of the beam can be unified into a single equation. We begin by looking at the compliance matrix for small elements of the beam. This is loosely based on work by von Mises in the 1920s. We reproduce von Mises results for the compliance matrix of the entire beam by in...
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In this paper, we introduce a new class of discontinuous Galerkin methods for Timoshenko beams. The main feature of these methods is that they can be implemented in an efficient way through a hybridization procedure which reduces the globally coupled unknowns to approximations to the displacement and bending moment at the element boundaries. After displaying the methods, we obtain conditions un...
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Transverse vibrations of Timoshenko type beams carrying a concentrated mass have been investigated. Both ends of this mass-beam system have simply supports. Hamilton Principle has been used in order to derive equation of motion . For this coupled differential equations, approximately solutions have been searched by means of Method of Multiple Scales(a perturbation method). These solutions consi...
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1 Abstract A class of nite element methods, the Galerkin Generalized Least Squares methods, are developed and applied to model the steady{state response of Timoshenko beams. An optimal method is designed using a linear interpolation of the response such that there is zero nite element dispersion error. The classical method of selective reduced integration and a modiied version of selective redu...
متن کاملA Timoshenko beam theory with pressure corrections for layered orthotropic beams
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ژورنال
عنوان ژورنال: Journal of Applied Mechanics
سال: 2009
ISSN: 0021-8936,1528-9036
DOI: 10.1115/1.3063630