Abstract
A unified approach that accounts for buckling and stress limitations in optimization of skeletal structures is presented. Global buckling, local buckling and exceptions from allowed stresses in frame members are considered by optimizing the geometric and material nonlinear response instead of by imposing a large number of constraints. In the proposed approach, each frame member is modeled as a sequence of co-rotational beam elements with hyperelastic material behavior. Design variables are cross-section properties so that both topology and sizes can be optimized, and to node coordinates so that shape optimization can be pursued. Sensitivity analysis follows the adjoint method and optimization is solved using well-established first-order methods. We show that the procedure leads to a buckling-resistant and stress-constrained design by maximizing the sustained load for a given prescribed displacement. A detailed discussion on key aspects of the proposed approach is presented.
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Acknowledgments
This work was funded by the European Commission Research Executive Agency, grant agreement PCIG12-GA-2012-333647; and by the Israel Science Foundation, grant No. 750/15. These financial supports are gratefully acknowledged.
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Madah, H., Amir, O. (2018). Optimal Design of Skeletal Structures Exhibiting Nonlinear Response. In: Schumacher, A., Vietor, T., Fiebig, S., Bletzinger, KU., Maute, K. (eds) Advances in Structural and Multidisciplinary Optimization. WCSMO 2017. Springer, Cham. https://doi.org/10.1007/978-3-319-67988-4_111
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