Selecting optimal location and stiffness features of supports while basing on finite element synthesis of framework oscillation frequencies

A method of making iterative changes in eigenfrequencies of the linear dynamic framework oscillations, is proposed. The method is grounded on searching target parameters (optimal location of supports and selecting their stiffnesses) near the baseline of a construction by means of minimizing a functional containing sum of squared varying parameters as well as limiting conditions in terms of oscillation eigenfrequencies equal to their target values. Numerical examples concerning two-dimensional elastic pipelines where nodal co-ordinates of support location and their stiffness features are taken as varying parameters, are given.