A semi-analytical interval method for response bounds analysis of structures with spatially uncertain loads

被引：7
|
作者：
Ni, B. Y. [1 ]
Wu, P. G. [1 ]
Li, J. Y. [1 ]
Jiang, C. [1 ]
机构：
[1] Hunan Univ, Coll Mech & Vehicle Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China
来源：
FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2020年 / 182卷
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
Spatially uncertain loads; Interval field model; Interval finite element analysis; Semi-analytical solution; NONPROBABILISTIC CONVEX MODEL; QUANTIFICATION; IDENTIFICATION; FIELDS;
D O I：
10.1016/j.finel.2020.103483
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proposes a semi-analytical interval method for static response bounds analysis of structures subjected to spatially uncertain loads. In the investigated problem, the external loads applied to the structure are spatially uncertain but bounded, which are quantified by an interval field model using upper and lower bounds. By introducing the interval field and its series expansion form into finite element analysis, the interval finite element equilibrium equations are then formulated, where the force vector is an interval vector. Solving the interval equations by the proposed method, a semi-analytical solution of the upper and lower bounds of structural static responses such as displacement and stress can be obtained efficiently. Finally, the effectiveness and accuracy of the proposed method are verified by three numerical examples.
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页数：14
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