The Algorithm for Automated Calculation of Technological Dimensional Chains
Keywords:
tolerance analysis, automation engineering, graph theory, dimensional chain, calculation algorithm, automation of dimensional analysisAbstract
The algorithm of automation of technological processes of tolerance analysis based on the presentation of technological dimensions and tolerances in the form of co-occurrence matrices. The algorithm requires a design dimensions, tolerances technological dimensions and machining allowances. The calculation of the average values of the technological dimensions, tolerances, allowances and design dimensions is a simple mathematical interpretation. Numbering surface processing can occur in any order that does not affect the final calculations andcompiled automatically. The algorithm uses as particularly representation dimensional structures in the form of chains, and in the form of graphs, it allows to determine the relative position of surfaces and at the same time the possibility to use a mathematical representation of the graph. The algorithm calculates equally sized chain, both for bodies of revolution, and for more complex product configurations. Potentially, this algorithm is capable of deviation calculation circuit layout. The main advantage of the presented algorithm is a method for making
matrices tolerances and medium-size values them, allows the calculation of dimensional chain master links without the need to identify the individual size of chains, determining increases and decreases links. An example of the tolerance analysis of the technological process of machining a stepped shaft. Calculated tolerances and the average of the operating sizes included in the process. An algorithm for detecting the size of each individual and his admission of the total array of calculated data. Appointment of average values machining allowances are not considered in this example, since the associated calculations are performed outside the main matrix.
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