Structural optimization with frequency constraints

Search group algorithm: A new metaheuristic method for the optimization of truss structures

“…This is a benchmark problem that was extensively studied by many authors using different optimization methods [33][34][35][36][37][38][39][40][41][42]. Several of the best designs found in the literature are detailed in Table 1.…”

“…The effectiveness of the SGA is demonstrated through a selection of benchmark problems taken from the literature. Special attention is given to problems that involve topology optimization and natural frequency constraints [33][34][35][36][37][38][39][40][41][42] due to the complexities that they present. The first two problems consist in the size and size/shape optimization of truss structures with natural frequency constraints.…”

Hybridized optimization algorithms for design of trusses with multiple natural frequency constraints

“…Grandhi and Venkayya [9] utilized an optimality criterion based on uniform Lagrangian density for resizing and scaling procedure to locate the constraint boundary, Sedaghati [10] utilized a new approach using combined mathematical programming based on the sequential quadratic programming (SQP) technique and a finite element solver based on the integrated force method. Lingyun et al [11] combined the simplex search method and the niche genetic hybrid algorithm (NGHA) for mass minimization of structures with frequency constraints.…”

Sizing Optimization Of Truss Structures Under Frequency Constraints With Artificial Bee Colony Algorithm

“…Table 1 shows the material properties, variable bounds, and frequency constraints for this example. This problem has been investigated by Grandhi and Venkayya [5] using the optimality algorithm. Sedaghati et al [6] have solved it by sequential quadratic programming and the finite element force method.…”

“…Grandhi and Venkayya [5] proposed an algorithm, where an optimality criterion based on uniform Lagrangian density was utilized for resizing and scaling procedure to locate the constraint boundary. Multiple equality and inequality frequency constraints were considered on truss structures.…”