Date of Award
Doctor of Philosophy (PhD)
Duc T. Nguyen
A technique for the optimization of stability-constrained geometrically nonlinear shallow trusses with snap-through behavior is demonstrated using the arc length method and a strain energy density approach within a discrete finite element formulation. The optimization method uses an iterative scheme that evaluates the performance of the design variables and then updates them according to a recursive formula that is controlled by the arc length method. A minimum weight design is achieved when a uniform nonlinear strain energy density is found in all members. This minimal condition places the design load just below the critical-limit load that causes snap-through of the structure. The optimization scheme is programmed into a nonlinear finite element algorithm to find the large strain energy at critical-limit loads. Examples of highly nonlinear trusses that are found in the literature are presented to verify the method.
Hrinda, Glenn A..
"Geometrically Nonlinear Arc Length Sparse Finite Element Analysis and Optimal Design of Truss Structures"
(2009). Doctor of Philosophy (PhD), Dissertation, Civil/Environmental Engineering, Old Dominion University, DOI: 10.25777/gx2d-hh65