Modelling and optimization of machine tools on foundations

This paper aims to expand existing complex mathematical models of machines in a manner that would respect the influence of their installation on the foundation. For this purpose, a method of modelling and optimization of foundations was developed. It consists of four basic parts: Mathematical modelling of machines, optimization of the number and placement of fixing (levelling) elements, optimization and modelling of the reinforced concrete foundation and modelling of the subsoil with respect to engineering geological conditions. The main optimization criterion is to increase the lowest natural frequency of the machine while reducing the foundation weight (amount of reinforced concrete).The result is a virtual mathematical model of the machine tool, including the influence of its foundation and subsoil. The proposed optimization can be used for designing new machines, machine foundations and the number and distribution of machine levelling elements. This method has been applied and tested on a virtual model of a multi-purpose machining center for workpieces up to 15 tons.