TY - JOUR
T1 - Topology optimization of tension-only cable nets under finite deformations
AU - Sanders, Emily D.
AU - Ramos, Adeildo S.
AU - Paulino, Glaucio H.
N1 - Funding Information:
GHP and EDS acknowledge the financial support from the US National Science Foundation under projects #1559594 and #1663244 and the endowment provided by the Raymond Allen Jones Chair at the Georgia Institute of Technology. ASR Jr. appreciates the financial support from the Brazilian National Council for Research and Development (CNPq) and from the Laboratory of Scientific Computing and Visualization (LCCV) at the Federal University of Alagoas (UFAL). The information in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsoring agencies. Acknowledgments
Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2020/8/1
Y1 - 2020/8/1
N2 - 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.
AB - 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.
KW - Finite deformations
KW - Ground structure method
KW - Tension-only cable nets
KW - Topology optimization
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U2 - 10.1007/s00158-020-02513-7
DO - 10.1007/s00158-020-02513-7
M3 - Article
AN - SCOPUS:85083355535
SN - 1615-147X
VL - 62
SP - 559
EP - 579
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
IS - 2
ER -