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EN
The two-mass resonant vibro-impact module is presented as the rod system with cylindrical intermediate supports. The corresponding design diagram is constructed. Based on the finite element method, the frequency of free oscillations is defined for the corresponding location of the intermediate supports. A stress-strain state of the elastic element is considered. The stiffness of the intermediate supports is defined by solving the contact problem between the cylindrical rod supports and the flat spring. The dynamics of the vibro-impact rod system with multiple natural frequencies is analyzed taking into account the contact stiffness of the intermediate supports. The determination of contact and equivalent stresses occurring during the operation of the vibro-impact rod system is performed.
EN
For the first time the design equations for determining the structural components of cylindrical tooth gears of reduction units are improved allowing for the use of informational technologies (IT). On the basis of the equations obtained the optimizing mathematical model of the optimal synthesis of structural components of tooth gearwheels has been developed. For solving the optimizing model the Monte-Carlo method is applied. The structural parameters (quantities), obtained by the developed optimizing mathematical model, have optimal values with probability up to 0.95 under the conditions of necessary strength and production safety. The implementation of the optimization process is recommended at the design institutions for the design of the cylindrical reduction drives for different objects of mechanical engineering and into the educational process of higher technical educational institutions while studying theoretical matters, accompanied by the use of IT.
EN
For carrying out experimental research a proving stand with closed power flow was designed. For the determination of oscillation process parameters (amplitude and frequency) the devices with input signals from strain sensors were used. Planning the experimental research and mathematical treatment of the results obtained was performed with the use of a full factorial experiment. The results of the experiment allowed for obtaining a nonlinear mathematical model for determining the oscillation amplitude and the amplitudefrequency characteristic of gear box oscillations (first harmonic). It then is used for determining the harmonic of the oscillating process caused by the inaccuracy of a tooth operating profile, which influences the smoothness of gear operation. The dependences taking into account internal and external dynamic loads from oscillating processes during the calculations of teeth gear hardness were obtained.
EN
The aim of paper is to study the solution of the problem of nonlinear transverse vibrations of elastic elongated body under the force of resistance in unbounded domain. Such problems have applications in various technical systems - vibration of pipelines, railways, long bridges, electric lines, optical fibers. Unboundedness of the area creates more fundamental difficulties in the study of the problem. For the considered models of nonlinear oscillations have no general analytical techniques for determining the dynamic characteristics of the oscillatory process. Therefore it is sugges ted to use qualitative methods of the theory of nonlinear boundary value problems to obtain correct problem solution conditions (existence and uniqueness of the solution). In the paper conditions of the correctness of the solution of mathematical model for these nonlinear systems (sufficient conditions of the existence and uniqueness in the class of locally integrable functions) are obtained. Methods of qualitative study of semi-infinite cable vibrations under the forces of resistance based on general principles of the theory of nonlinear boundary value problems - method of monotony and Galerkin method. Scientific novelty of the work lies in particular in the generalization of methods of studying nonlinear problems on a new class of oscillatory systems In unbounded domains, justifying the correctness of the solution with specified mathematical model, which has practical applications in real engineering oscillatory systems. The technique allows not only for proving the correctness of the model solution, but also has an opportunity in its study to apply various approximate methods.
EN
We investigate the influence of the motion of fluid flushing the cutter of a well drilling column, and the angular rotational velocity upon dynamic characteristics of its flexural vibrations. We take into account the nonlinear elastic features of column material. As a base of the research we took the Galerkin method and the Van der Pol method. Combining those two methods made possible to obtain the relations describing the main parameters of the dynamical process In both nonresonance and resonance case.
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