Development and Application of Optimization Methods

Ackley’s Test Function with Two  Design Variables

Ackley’s Test Function with Two Design Variables

Comparison of True Model (Buckling Load Contours) and Surrogate Models [(b) KRG; (c) RBF; (d) PR; and (e) SVR]

Comparison of True Model (Buckling Load Contours) and Surrogate Models [(b) KRG; (c) RBF; (d) PR; and (e) SVR]

Description

Our work on structural optimization, multiobjective optimization and surrogate modelling involved the development of optimization methods as well as their application to practical engineering. This is a core expertise of the lab as well as an aspect strongly tied to practical applications. The algorithms developed in this track are tailored to a given application and are instrumental to optimize ‘material by design and fabrication’. In particular, we have been working on:

  • development of hybrid evolutionary algorithms for laminate composite;
  • concurrent optimization of manufacturing and structural design of laminate composites;
  • shape optimization of lattices to reduce stress-concentration and increase fatigue failure;
  • multiobjective hierarchical topology optimization of cellular materials  for  stiffness and permeability tailored to bone in-growth;
  • multiobjective optimization coupled with surrogate modelling for variable stiffness laminate composite;
  • Multidisciplinary optimization of planar lattices for stent devices.

Current Students

Mahdi Arian Nik, Emily Gogarty, Purnendu Prithipaul

Relevant Publications

  • Arian Nik, M., Fayazbakhsh, K., Pasini, D., Lessard, L., A comparative study of metamodeling methods for the design optimization of variable stiffness composites, Composites Structures, vol. 107, pp. 494-501, 2014. link to PDF
  • Fayazbakhsh, K., Arian Nik, M., Pasini, D., Lessard, L., Optimization of variable stiffness composites with embedded defects induced by Automated Fiber Placement, Composites Structures, Vol. 107, pp. 160–166, 2014. link to PDF
  • S. B. Visweswaraiah, H. Ghiasi, Pasini, D., L. Lessard, Multi-objective Optimization of a Composite Rotor Blade Cross-section, Composites Structures, Vol. 96, pp. 75-81, 2013. link to PDF
  • Arian Nik, M., Fayazbakhsh, K., Pasini, D., Lessard, L., Surrogate-based multi-objective optimization of a composite laminate with curvilinear fibers, Composites Structures, Vol 94, pp. 2306–2313, 2012. link to PDF
  • Ghiasi, H., Pasini, D., Lessard, L, A Non-dominated Sorting Hybrid Algorithm for Multi-objective Optimization of Engineering Problems, Journal of Engineering Optimization, vol. 43 (1) pp. 39 -59, 2011. link to PDF
  • Ghiasi H., Kazem Fayazbakhsh, Pasini D., Lessard L., Optimum stacking sequence design of composite materials. Part II: Variable stiffness design, Composite Structures, Vol. 93 (1), pp. 1-13 2010. link to PDF
  • Ghiasi, H., Pasini, D., Lessard, L, Pareto Frontier for Simultaneous Structural and Manufacturing Optimization of a Composite Part, Journal of Structural and Multidisciplinary Optimization, 40(1):497-511, 2010. link to PDF
  • Ghiasi, H., Pasini, D., Lessard, L, M. Thouin, Optimum Structural and Manufacturing Design of a Braided Hollow Composite Part, J Applied Comp Mat, Vol. 17(2), pp. 159–173, 2010. link to PDF
  • Ghiasi, H., Pasini, D., Lessard L., Optimum Stacking Sequence Design of Composite Materials. Part I: Constant Stiffness Design, Composite Structures, Vol. 90 (1), pp. 1-1, 2009. link to PDF