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Interval static displacement analysis for structures with interval parameters
Author(s) -
Chen Suhuan,
Lian Huadong,
Yang Xiaowei
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.281
Subject(s) - interval (graph theory) , mathematics , interval arithmetic , cantilever , finite element method , extension (predicate logic) , displacement (psychology) , upper and lower bounds , perturbation (astronomy) , mathematical analysis , structural engineering , computer science , engineering , combinatorics , physics , psychology , quantum mechanics , bounded function , psychotherapist , programming language
In this paper, a new method to solve the uncertain static displacement problem of structures with interval parameters is presented. It is difficult to obtain all possible solutions with sharp bounds even if an optimum scheme is adopted when there are many uncertain parameters. With the interval mathematics, the interval finite element equation is developed. Based on the perturbation and the interval extension, the upper and lower bounds of the static displacements are obtained, in which the sharp bounds are guaranteed by the interval calculation operators. Two numerical examples, a box cantilever beam and an automobile frame, are given to illustrate the validity of the present method. Copyright © 2001 John Wiley & Sons, Ltd.