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Unconventional machining methods, or also progressive machining methods, such as laser cutting, waterjet cutting, ultrasound machining, etc. are undergoing a very rapid development. Laser cutting machines often evaluate even 80 parameters in real time. Their advantage is the significantly higher productivity. Many values are defined by the machine manufacturer and can not be changed for a given laser. For custom laser cutting there are 2 essential parameters, adjustable depending on the process gas employed. The aim of this article is to find the setting that will reduce the consumption of process media while maintaining or improving the quality of the machined surface.

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The article analyses and evaluates the ever-important topic of assessing geometric deviation of tolerated formations related to bases with the usage of coordinate measuring machines. The basic system for off-line simulation consists of the coordinate planes of a component’s coordinate system. At the beginning of the measurement, the coordinate system is created by the “3–2–1“alignment. Due to production deviations in real surfaces of the component, each measurement generates mutually different coordinate systems, which is well proven by the experiment on measuring with a coordinate measuring machine DEA Global Performance 12.22.10. An integral part of the article is also the quantification of geometric deviations of ideal tolerated formations related to bases, the estimate of the uncertainty of measurement arising from the placement of points in defining the base system, and the effect of such uncertainty upon the interval of satisfactory values in conformity with the STN EN ISO 14253-1 technical standard. The article also includes a proposal measure in order to ensure the reproducibility of defining the mutual position of coordinate systems.

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The paper was based on research tasks in the field of robotics. It approaches solving the collision states of a robot while operating equipment and applies the knowledge in the CATIA system environment. Motion Planning is of paramount importance in robotics, where a goal is to determine a collision-free, unobstructed path for a robot that works in an environment which contains obstacles. An obstacle can be an object that is found in the robot's workspace.

Competitiveness belongs at a constantly changing market environment at the present time at the pillar requirements and therefore is regarded as one of the fundamental characteristics of the company. In difficult economic conditions, only the strongest enterprises will survive, so the issue of competition and competitiveness are actual and encourages the current pressure on controlling costs in enterprise in order to maintain competitive advantage. Environmental management is in the field of manufacturing and services one of the most effective tools of achieving the priority objective-minimizing the negative impacts of production activity to the individual components of the environment. Through environmental oriented management in a company it is required to carry out such activities in order to overcome the discrepancies among market, society and environment. Environmental management program allows increasing the economic efficiency of the business entity to get a new profit potential and improve the environmental profile of the company. A company anxious to succeed in foreign market is faced with more intense environmental certification requirements of quality products, manufacturing and services.

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