Comparative analysis of the use of Matlab tools for optimizing parameters with constraints
DOI:
https://doi.org/10.32347/2410-2547.2026.116.13-25Keywords:
vibro-impact, damper, nonlinear energy sink, optimization, constraint, Matlab platform toolsAbstract
This study suggests focusing on dynamic behavior of the single-sided vibro-impact nonlinear energy sink (SSVI NES) as it moves in direction opposite the obstacle. It can hits the primary structure (PS); its dynamics and efficiency in mitigating the PS vibrations were examined in our previous works. If these impacts are simply ignored, the damper moves in the PS direction over a very large distance, which is unrealistic for this diagram. To prevent such impacts, the connecting spring must have high stiffness. However, when optimizing damper parameters, the requirement to avoid these impacts makes it necessary to set limits not only on the parameters, but also on the relationship between the displacements of bodies, which are variables obtained by integrating the motion equations. The optimization procedures were performed using Matlab platform tools. The approximate damper parameters are determined using the surf program, which constructs an image where the dependence of the objective function value on the relationship between two parameters is displayed in color. The selected approximate parameters should be further optimized; their values can be refined using various Matlab platform tools. We compared the use of fminsearch and fmincon programs, as well as the Ga genetic algorithm, and chose the fminsearch program. Using the fminsearch program with a penalty for violating the constraint conditions gives quite good results and allows us to select several sets of optimized damper parameters. However, the analysis of the efficiency in mitigating the PS vibrations for SSVI NESs with four various sets of optimized parameters showed that such a model with high stiffness of connecting spring could hardly be considered successful.
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