This article deals with creating a mathematical model, which is used for calculating the resulting maximum deformation of a rectangular metal sheet with the dimensions 1000 x 900 mm and a thickness of 0.67mm, using FEM. The manipulated object is fixed using vacuum grasping elements, which will be also considered in this calculation. To reach these results we use the programs ANSYS and MATLAB.

The goal of the presented research in this theses is acquiring a concept while researching the process of manipulating with materials in the shape of a thin rectangular metal sheets. The gained results from the FEM calculation have a graphic output, on which the dimensions of the observed object, the placement of the suction grippers and a colored course of elastic deformation and stress caused are illustrated throughout the metal sheet. The design and its process contribute to making the job of the constructor while designing suction grippers, more effective and simple. The results from the experiment and the simulation, where processed through statistical evaluation and as a result the coefficients were corrected for optimal simulation.