Origami Topology Optimization w/ Nonlinear Truss Model

3D Modified Truss Finite Element Model and Topology Optimization for Origami Fold Patterns

3D modified truss finite element model for efficient and accurate modeling of thin origami structures. Considers elastic material model of trusses and hinges while capturing geometric nonlinearities. Implemented generalized displacement control method for nonlinear path following, periodic boundary constraints using Lagrange multiplier approach, and eigenvalue perturbation analysis for bifurcation branch following. Topology of optimization of fold patterns enabled through gradient-based techniques.

Includes methods and examples from following publications:

Gillman, A., K. Fuchi, & P.R. Buskohl. Truss-based nonlinear mechanical analysis for origami structures exhibiting bifurcation and limit point instabilities. International Journal of Solids and Structures, 147: 80-93, 2018.

Gillman, A., Fuchi, K., and P. R. Buskohl. "Discovering Sequenced Origami Folding Through Nonlinear Mechanics and TopologyOptimization." Journal of Mechanical Design, in press.

Gillman, A., K. Fuchi, G. Bazzan, E. J. Alyanak, and P. R. Buskohl. "Discovering origami fold patterns with optimal actuation through nonlinear mechanics analysis." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, V05BT08A052, 2017.

Gillman, A., K. Fuchi, A. Cook, A. Pankonien, and P. R. Buskohl. "Topology optimization for discovery of auxetic origami structures." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, V05BT07A059, 2018.

Fuchi, K., A. S. Gillman, A. B. Cook, A. M. Pankonien, and P. R. Buskohl. "Designing fractal origami tessellations through eigen analysis." In ASME 2018 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, V001T04A017, 2018.