Frequency Constraints in Optimization of Structures

In this paper an example of the optimization of a truss with ten bars with frequency constraints is given. The objective function is the minimum mass of the structure and the variables are the cross sections of ten aluminium bars. The analysis of the dynamic behaviour of the structure was done using the finite element method. Optimization methods of nonlinear programming and genetic algorithms are used. The optimizations were done by changing the values of the natural frequency of the structure as constraints, and the results are given in this paper. From the obtained results, the dependence of the change in the value of the frequency constraints and the mass of the structure can be seen.