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Structural and Multidisciplinary Optimization

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08-04-2020 | Research Paper

Topology optimization of tension-only cable nets under finite deformations

Authors: Emily D. Sanders, Adeildo S. Ramos Jr., Glaucio H. Paulino

Published in: Structural and Multidisciplinary Optimization | Issue 2/2020

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Abstract

Structures containing tension-only members, i.e., cables, are widely used in engineered structures (e.g., suspension and cable-stayed bridges, tents, and bicycle wheels) and are also found in nature (e.g., spider webs). We seek to use the ground structure method to obtain optimal cable network configurations. The structures are modeled using principles of nonlinear elasticity that allow for large displacements, i.e., global configuration changes, and large deformations. The material is characterized by a hyperelastic constitutive relation in which the strain energy is nonzero only when the axial stretch of a member is greater than or equal to one (i.e., tension-only behavior). We maximize the stationary potential energy of the equilibrated system, which avoids the need for an additional adjoint equation in computing the derivatives needed for the solution of the optimization problem. Several examples demonstrate the capabilities of the proposed formulation for topology optimization of cable networks. Motivated by nature, a spider web–inspired cable net is designed.

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Other strain measures are explored in Appendix E

Convexity of other strain measures is explored in Appendix E

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Title: Topology optimization of tension-only cable nets under finite deformations
Authors: Emily D. Sanders
Adeildo S. Ramos Jr.
Glaucio H. Paulino
Publication date: 08-04-2020
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 2/2020
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-020-02513-7

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