Introduction. Now on transport, in automotive, aviation, space, household and other vehicles the tiny mechanically managed switches are widely used. The small weight and small dimensions belong to their benefits. However bad contact connection can lead to failure of devices on which work of all difficult technique depends. In household appliances it will not lead to serious problems, but for transport failure of contact system can lead to catastrophic consequences. The most important indicator of reliability of microswitches is non-failure operation of work. Failures of microswitches arise because of the thermal, electric, mechanical and chemical phenomena in a transitional zone of electric contacts. Now big distribution was gained by low-current contacts. Refusals and failures in such contacts appear generally because of hit in intercontact space of dust and other pollution, formation of the films which are not collapsing in case of short circuit of contacts, sudden change of force of pressing of contacts because of breakdown of an elastic element or an expansion spring. In article the mathematical model of contact systems in case of failure on the example of modern electronic microswitches of rod type is provided. Purpose. Creation of mathematical model of contact systems at failure on the example of modern electronic microswitches of rod type, research of operation of microswitches in actual practice operation. Methodology. Theoretical methods of research with use of personal electronic computer were applied to achievement of an effective objective. The theory of contact interaction of rough surfaces, the theory of electric contacts, methods of linear algebra, etc. have been used. The program complexes Mathcad, ANSYS were used. In case of pilot studies methods of mathematical statistics were applied. Results. In article the technique of determination of transitional resistance of low-current electric contacts considering possible dust content of contact surfaces, formation of films on surfaces of contacts and change of parameters of a roughness of contact surfaces as a result of plastic deformations is offered. For the studied contacts dependence of probability of failure on concentration of particles of dust is received. Practical importance. The technique described in article allows to determine the transitional resistance of electric contacts both during the normal work, and at failure. Conclusion. Development of mathematical models of contacts at failure gives the chance to estimate reliability of connections in actual practice of work, to choose key parameters of switching elements taking into account possible pollution, and also to develop new and to specify the available techniques of detection of failures.
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