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Lookup NU author(s): Professor Peter Gosling
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Form-finding of minimal surface membranes is investigated in this paper. A curved quadrilateral finite element (formulated in Part I) is used to provide a numerical representation of a thin surface (structural membrane) established between fixed or flexible boundaries. Pre-stress is introduced to generate the form. Application of the matrix-based finite element method to the vector-based dynamic relaxation algorithm is presented. When analysing minimal surfaces, the assumption of large strains is shown to lead to a stress deviation at equilibrium. Various techniques are proposed to improve the numerical stability of the solution algorithm. The resulting final numerical model adequately represents both large displacements and large summative strains. Comparisons between numerical and experimental solutions to several minimal surfaces demonstrate the accuracy of the proposed formulation. Copyright © 1996 Elsevier Science Ltd.
Author(s): Gosling PD, Lewis WJ
Publication type: Article
Publication status: Published
Journal: Computers & Structures
Year: 1996
Volume: 61
Issue: 5
Pages: 885-895
Print publication date: 01/12/1996
ISSN (print): 0045-7949
ISSN (electronic): 1879-2243
Publisher: Pergamon
URL: http://dx.doi.org/10.1016/0045-7949(96)00091-0
DOI: 10.1016/0045-7949(96)00091-0
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