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论文类型：期刊论文

发表时间：2018-07-01

发表刊物：INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

收录刊物：SCIE

卷号：144

页面范围：301-312

ISSN号：0020-7683

关键字：Thin membrane; Wrinkling; Fixtures; Shape optimization; Surrogate model

摘要：Membrane fixtures provide external tensile forces and boundary conditions for thin membranes: thus, they play an important role in the minor principal stress distribution and wrinkling patterns. Here, we propose a global optimization approach for designing the shape of membrane fixtures to suppress stressrelated wrinkles under large membrane deformations. The objective of the optimization model is to maximize the minimal value of the in-plane minor principal stress over the entire membrane. This model incorporates the Kriging surrogate method, which is a robust optimization technique, to make the membrane in a taut state and to find out the global optimal solution. Several examples with different stretching displacements are presented to demonstrate the effectiveness of this proposed optimization method. Moreover, the method provides an efficient way to obtain wrinkle-free membrane structures without reducing the membrane area. (C) 2018 Elsevier Ltd. All rights reserved.