期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 191, 期 -, 页码 264-277出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2020.01.022
关键词
Uncertainty; Membrane wrinkling; Initial imperfections; Bounded field; Optimization
类别
资金
- National Key R&D Program of China [2017YFB0203604]
- National Natural Science Foundation of China [11772077, 11972104]
- LiaoNing Revitalization Talents Program [XLYC1807187]
Initial thickness imperfections of thin membranes due to manufacturing are inevitable and commonly observed. This paper presents an experimental and numerical investigation on how thickness imperfections affect the wrinkling of stretched membrane structures. With the measured data from a limited number of samples, we model the uncertain deviation of membrane thickness from that of a perfect geometry as a non-probabilistic bounded field with spatial dependency. After representing the bounded field as a linear function of a reduced set of uncertain coefficients by using a series expansion, the effect of thickness imperfections on the membrane wrinkling is investigated. To this end, the upper and lower bounds of out-of-plane displacements for membranes with initial imperfections are evaluated by a mathematical programming. The proposed wrinkling evaluation problem is then solved efficiently by using the Kriging-based optimization algorithm, with validation done by Monte Carlo simulation. The results show that initial thickness imperfections play a critical role in the wrinkling behavior of membranes. (C) 2020 Elsevier Ltd. All rights reserved.
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