**5. Conclusion**

260 Advanced Topics in Measurements

the assembly volume is insignificant, but maximal von Mises stress level is reduced on ~82.4 %. Von Mises stress level changes in the cross-section of the GP bracket for initial and

> Initial Shape Found Shape

**123456 Check Point №**

Fig. 20. Von Mises stress distribution in the bracket check points.

Fig. 21. PSD of vertical displacement in characteristic points of the GP.

optimized variants are presented in Fig. 20.

**von Mises stress [MPa]**

The results of shape optimization of the mechanical components for two different measurement systems are presented. The described approach allows obtaining smooth shapes that are easy to implement technologically. The jagged forms are excluded from the optimization process and there's no need for excessive computational resources. The most time-consuming step of the current approach is the FEM analysis of the full model for variants defined by design of experiments, the results of which are used for building metamodels of appropriate responses. Then the solution of various single objective problems and the implementation of different aggregation strategies for multiobjective optimization are relatively easy in order to obtain an acceptable final solution.

It will be interesting to compare the effectiveness of the current approach by using the metamodels obtained by kriging and radial basis functions instead of locally weighted polynomial approximations.
