Combined Axial and Bending Stiffness in Interval Finite-Element Methods
Publication: Journal of Structural Engineering
Volume 133, Issue 12
Abstract
This paper presents a new approach for the treatment of parameter uncertainty for linear static structural mechanics problems. Parameter uncertainties are introduced as interval numbers. Interval arithmetic is applied to finite-element method to analyze the structural responses due to uncertain loading, axial and bending stiffness. However, a naïve use of interval arithmetic in the formulation of finite-element method, i.e., replacing the deterministic parameters with corresponding interval ones, will result in meaningless wide results due to the so-called dependency problem. In the present approach, an element-by-element technique is used to reduce the overestimation and compatibility conditions are ensured by a penalty method. With the newly developed overestimation control, most sources of overestimation are eliminated and a very sharp enclosure for the system response is obtained. A number of numerical examples are introduced.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 133 • Issue 12 • December 2007
Pages: 1700 - 1709
Copyright
© 2007 ASCE.
History
Received: Sep 9, 2004
Accepted: Mar 19, 2007
Published online: Dec 1, 2007
Published in print: Dec 2007
Notes
Note. Associate Editor: Elisa D. Sotelino
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