Interval Finite Element Analysis using Interval Factor Method |
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Authors: | Wei Gao |
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Affiliation: | (1) School of Mechanical and Manufacturing Engineering, The University of New South Wales, Sydney, NSW2052, Australia |
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Abstract: | A new method called the interval factor method for the finite element analysis of truss structures with interval parameters
is presented in this paper. The structural parameters and applied forces can be considered as interval variables by using
the interval factor method, the structural stiffness matrix can then be divided into the product of two parts corresponding
to the interval factors and the deterministic value. From the static governing equations of interval finite element method
of structures, the structural displacement and stress responses are expressed as the functions of the interval factors. The
computational expressions for lower and upper bounds, mean value and interval change ratio of structural static responses
are derived by means of the interval operations. The effect of the uncertainty of the structural parameters and applied forces
on the structural displacement and stress responses is demonstrated by truss structures. |
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Keywords: | Interval factor method Finite element analysis Interval parameters Truss structures |
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