This study deals with the stiffness design of geometrically nonlinear structures using
topology optimization. Bi-directional Evolutionary Structures Optimization (BESO) is
employed to implement the design process. The geometrically nonlinear behavior of the
structures are modeled using a total Lagrangian finite element formulation and the
equilibrium is found using a Newton-Raphson iterative scheme. The topology optimization
of linear and nonlinear modeling are implemented. The sensitivity of the objective function
is found with the adjoint method and the optimization problem is solved using BESO’s update method. Objective function of complementary work is evaluated. A special technique called the continuation method is applied to solve the instability of nonlinear structure optimization. ANSYS APDL is also used to do FEA of optimal topology to verify the effectiveness of geometrically nonlinear modelling. The results show that differences in stiffness of structures optimized using linear and nonlinear modelling is generally small but it can be large in some cases, especially structure highly involving buckling behaviour.
Publication Information
Publisher
Thu Dau Mot University, Viet Nam
Editor-in-Chief
Assoc. Prof. Nguyen Van Hiep Thu Dau Mot University
Editorial Board
Assoc. Prof. Le Tuan Anh Thu Dau Mot University
PhD. Nguyen Quoc Cuong Thu Dau Mot University
PhD. Doan Ngoc Xuan Thu Dau Mot University
PhD. Nguyen Khoa Truong An Thu Dau Mot University
Assoc. Prof. Nguyen Thanh Binh Thu Dau Mot University
PhD. Le Thi Thuy Dung Thu Dau Mot University
PhD. Ngo Hong Diep Thu Dau Mot University
PhD. Nguyen Duc Dat Duc Ho Chi Minh City University of Industry and Trade
Assoc. Prof. Nguyen Van Duc Animal Husbandry Association of Vietnam
PhD. Nguyen Thi Nhat Hang Department of Education and Training of Binh Duong Province
PhD. Nguyen Thi Cam Le Vietnam Aviation Academy
PhD. Trần Hạnh Minh Phương Thu Dau Mot University
M.A. Pham Van Thinh Thu Dau Mot University
PhD. Nguyen Thi Lien Thuong Thu Dau Mot University