SIMULTANEOUS OPTIMIZATION ANALYSIS OF SHAPE AND CUTTING PATTERN FOR CABLE-REINFORCED MEMBRANE STRUCTURE USING LAGRANGE MULTIPLIERS METHOD

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Publication year 2018
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Title SIMULTANEOUS OPTIMIZATION ANALYSIS OF SHAPE AND CUTTING PATTERN FOR CABLE-REINFORCED MEMBRANE STRUCTURE USING LAGRANGE MULTIPLIERS METHOD
Author Hiroshi Utsunomiya, Toshio Honma, Yohei Yokosuka
Summary In this paper, a finite element technique with coordinate assumption using Lagrange multipliers method that treats axial force of cable as the unknown quantity is applied to simultaneous optimization analysis of shape and cutting pattern for cable-reinforced membrane structure. Simultaneous optimization analysis of shape and cutting pattern is implemented on the stress specification. The analysis models are a cable-reinforced suspension membrane structure and cable-reinforced pneumatic membrane structures. We describe the detailed procedure of the cutting pattern analysis and the subdivision for the finite element, and create a analysis model that is applicable to time history response analysis.
Consequently, the converging solution can be obtained for various membrane structure models by using the procedure of the cutting pattern analysis indicated here.