A method for calculating the frequencies and forms of natural vibrations of a 14-mass torsion-oscillating system of a mobile power tool with a tool when performing technological operations on a slope

The stability of movement of wheeled tractors is one of the main factors contributing to the reduction of energy costs. Modern developments related to the improvement of the design of agricultural tractors, solving the problems of increasing their efficiency face a number of difficulties caused by unstable processes when moving on inclined support surfaces. The issue of modernizing the tractor design should be considered in the parametric aspect of the implementation of its own frequency and shape of oscillations that affect its stability of movement in the technological corridor. A complex task to improve the manufacturability of the tractor must necessarily take into account the fact that new elements change the entire system. Therefore, at the stage of developing a new or modernizing a serial mobile machine, reliability is necessary when determining the dynamic characteristics.
The conducted calculation and theoretical studies of the mechanical processes of the power transmission of a self-propelled chassis of class 1.4 of the classic layout with the developed enlarged calculation scheme of the “Belarus 992” tractor (for fourteen elements of distributed mass) in an aggregate with a KRN-5.6 cultivator. Formed the basis for the creation of a method for calculating the frequency and shape of natural oscillations. The “Machine-tractor unit (MTU)” system has a fairly high value of the frequency of free oscillations, which allows calculating the operating conditions of the structure in long-term operating modes at frequencies close to resonance. A change in the spectrum of the frequency of natural oscillations of the system can serve as an additional wear of parts, tires, etc. When studying the developed “MTU” system, the method described by Professor V.A. Lashko was taken as a basis, and the matrix method was also used. Matrix forms of recording the equations of motion of the torsional-oscillatory system of the “MTU” with many degrees of freedom are convenient for calculations to determine the amplitude-frequency characteristics. To calculate the torsional-oscillatory system of the power transmission of a self-propelled chassis aggregated with a cultivator, a dynamic model was developed representing the variational possibilities of analyzing the combination of the factors and parameters under study.

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