## Materials and Methods
### Design Procedure Using the TO Method
#### 2.2.2 TO
Analysis of the Impact of Mesh on the Course and Outcome of the TO and Its Creation  
In order to select the right type of _Mesh_ for the above design procedure, it was necessary to find out its influence on the progress and result of the optimization, which was obtained from the analysis of the reference TOs of the given components--the front and rear mounts. For each component, 10 TOs were performed for the 10 most critical _Load Cases_. The above-mentioned _Load Cases_ were defined on the basis of the analysis of the initial strength control of the semi-finished products consulted with a specific manufacturer. By reducing the number of _Load Cases_, the aim was to reduce the TO time, which significantly affects the overall development time. The SGD module in the _3 DExperience_ software uses only tetrahedron _Mesh_ in the calculations. This module offers two types of tetrahedron _Mesh_: linear and quadratic. The elements of each type of tetrahedron _Mesh_ differ in the number of nodal points (the points at which the stress is calculated). The software automatically generates a default _Mesh_ element size (linear or quadratic) so that the total number of elements of the optimization object is approximately 95,000. Therefore, to analyse the effect of _Mesh_ on the progress and outcome of the optimization process, the other eight _Mesh_ configurations available in the software were used, which differed in the types and numbers of elements:  
* Default number of elements (DEL);
* 250,000 elements (250 KEL);
* 500,000 elements (500 KEL);
* 750,000 elements (750 KEL);
* 1 million elements (1000 KEL);  
* Default number of elements (DEQ);
* 150,000 elements (150 KEQ);
* 200,000 elements (200 KEQ);
* 250,000 elements (250 KEQ);
* 500,000 elements (500 KEQ). Figure 6: Schematic representation of all 30 load cases of semi-finished products (green arrows—the attachment of the mount to the motor, yellow arrows—reactions from the silentblocks): (a) front mount, (b) rear mount. For the analysis, both components were assigned the same AlSi10 Mg material, as also defined in Section Creating and Assigning a Material Profile to an Optimization Object. The resulting front and rear mount input strength checks for each _Mesh_ configuration are presented in Figures 7 and 8. From the graphs (Figures 7 and 8), the effect of _Mesh_ on the quality of the initial strength check results is evident. A combination of measured data from both components was used to define the functional dependence of the average time of topological iterations and the number of elements. The quadratic _Mesh_ 500 KEQ configuration was omitted prior to running TO due to the inadequate duration of the simulations. The functional dependencies between the average duration of one topological iteration and the number of elements of the linear and quadratic _Mesh_ are shown in Figures 9 and 10. Figure 8: Initial stress analyses of rear semi-finished mount. Figure 7: Initial stress analyses of front semi-finished mount. The analysis showed that the configuration of _Mesh_ significantly affects the progress and results of TO. Optimization with the linear _Mesh_ configuration with the default number of elements takes less time. The optimization time then increases in direct proportion to the number of elements (Figure 9), along with the quality of the obtained results. Optimization with quadratic _Mesh_ takes significantly longer (Figure 10), although the obtained results are of significantly higher quality. Based on the results obtained from the analysis of the impact of the _Mesh_ on the TO progress and outcome and the objectives set, the _Automatically deducing quadratic mesh option_ was used for both mounts. The quadratic _Mesh_ with the default number of elements of the front mount is shown in Figure 11a and the rear mount in Figure 11b. The shapes of the functional elements' _Bodies_ were designed to follow the contours of the shape of the semi-finished product with a certain distance to avoid certain qualitative errors of the _Mesh_.