In the article, using the example of a three-mass oscillating system, a procedure for the synthesis of motion control is presented, based on the determination, by solving the inverse dynamic problems, of the control actions that provide the desired character of the oscillating motions for individual partial systems. It is shown that the received control actions will be functions of time, which do not impose any restrictions on the structure of controllers, which can be realized by choosing the design parameters of the control object and by using closed automatic control systems. Since the feedback gains are determined directly from the mathematical model of the control object, the control system will have a weak sensitivity to parametric and coordinate perturbations. The results of numerical simulation of the effectiveness of the proposed method for limiting elastic oscillation are presented. ) ( J J J J с + = 3 2 23 3 3 2 3 2 23 3 12 23 J J c K J s K J s J J c J M

The article is devoted to the reduction of dynamic loads of actuating mechanisms of mining machines based on the use of elastic-damping devices with variable parameters built into the construction of these machines. It is shown that the determination of the parameters of these devices can be represented as a solution of the inverse dynamic problem based on a differential equation with variable coefficients. Using the example of a damping device proposed for reducing the dynamic loads of the digging mechanism of dragline ES 20.90, we describe the procedure for constructing the desired differential equation for synthesizing the device parameters and present the results of a numerical study of its effectiveness.

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