Main route of development of an agricultural tractor construction is raise of productivity of Caterpillar at the expense of increase in working speeds and tractors and tool width. Such direction of development demands simultaneous development of running systems and suspensions of caterpillars. The analysis of possibility of application of running system with triangular Caterpillar contour in farm tractors is in-process made. The mathematical model of the Caterpillar has been developed for research conducting realised in the environment of SIMULINK. Within the limits of conducting of the analysis of a construction of running system with triangular Caterpillar contour more effective construction of a suspension of a back idler in comparison with existing suspensions has been developed. On a designed construction of a suspension the patent is gained. The spent mathematical simulation of oscillations ofa case of a tractor with various arrangements of running systems and at tractor operation on the most widespread regimes has displayed efficiency as designed circuit design of a tractor with triangular contour, and a designed construction of a suspension of a back idler. Working out of a technique of optimisation of a suspension bracket of the developed running system as a whole under concrete conditions of operation is necessary.
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