ISSN 1991-2927
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 V. Manzhosov, A. Samsonov
 The Functioning of the Lever Mechanism for Automated Capture of Solid The article is devoted to the problem of functioning of the lever mechanism in the automated capture of a solid body. In technological systems such mechanisms are used to lift and move solid cylindrical bodies. The task of the mechanism is an ability to hold a solid body due to friction forces in the capture zone. Friction forces in the contact zone of the driven link with the surface of the body exclude the possibility of breaking the connection between the solid and the driven link. The gripping force depends on the magnitude of the driving force and the parameters of the lever mechanism gripper. The model of the lever mechanism of capture is constructed. The ratio of the force at the leading link and the arising normal reaction in the contact zone of the driven link with the cylindrical surface is established. The influence of the mechanism parameters on the ratio of these forces is determined. The zones at which the force ratio reaches the lowest values are shown.Model of lever mechanism, automated capture, friction forces, angle of motion transmission.
 2019_ 1

Sections: Mathematical modeling

Subjects: Mathematical modeling.

 V. Manzhosov, A. Rozhkov
 Modelling of Longitudinal Shock of the Rigid Solid Body to the Rod Interacting With the Rigid Barrier Shock of a solid body to a rod with a tough barrier on the basis of a wave model of longitudinal shock is considered in numerous papers of domestic and foreign researchers. Various methods of the solution of the wave equation for determination of striking power and the rod stress and strain state are used. However, creation of analytical decisions represents the awkward procedure and, as a rule, it is limited to several cycles of distribution of the created deformation wave from shock section to a tough barrier and back. The procedure is complicated by the fact that the shock system is a mechanical one with unilateral constraints and, in order to analyze the dynamic process, determination of the moment of a contact gap and transition in case of this gap to other mathematical description of the system movement is required. The article considers the wave model of longitudinal shock of a solid body to a rod. The rod is represented by a set of integrated elements of small lengths taking into account wave processes in each element, transformation of waves on borders of elements interface, and unilateral constraints in shock section. Modelling results providing a possibility of the analysis of shock process, formation and distribution of deformation waves in a shock system, creations of charts of the stress and strain state of a rod system at any time point in case of shock are provided.Longitudinal shock, shock wave model, shock to barrier, modelling, deformation waves, deformation wave transmission.
 2017_ 1

Sections: Mathematical modeling

Subjects: Mathematical modeling.

 A. Ivashkin, V. Manzhosov
 Modelling of the Intense Deformed Condition of the Core of in Steps Cylindrical Form At Collision With the Rigid Barrier The wave model of a longitudinal shock to a rigid barrier of a core in the graded cylindrical form is considered. The model of a core is presented by a set of the interfaced elements of a small length taking into account wave processes in each element, transformation of waves on borders of interface of elements, and unretentive communication in a shock section. The authors present the results of the modeling providing visualization of a shock. It reproduces the process of formation and distribution of waves of deformations changing in time in a shock system, charts of the intense deformed condition of a core system in any time point in the course of a shock on a monitor screen.Longitudinal shock, shock wave model, shock to a barrier, modeling, waves of deformations, distribution of waves of deformations.
 2016_ 1

Sections: Mathematical modeling

Subjects: Mathematical modeling.

 V. Manzhosov, T. Petrova
 Modeling Crank-and-rocker Mechanism Motion With Frictional Constraints The model of flat crank-and-rocker mechanism motion is considered in the article. The crank existence condition defined in Grashof’s theorem is analyzed. With frictional constraints, this condition requires additional terms that define the minimum permissible value of the angle of motion transformation from the connecting rod to the rocker. The software of modeling the crank-and-rocker mechanism motion, graphical and numerical reproduction of motion parameters in the modeling process was developed. The control of the length between rocker and crank supports allows to reach the bounds of crank-and-rocker mechanism existence zone to change the mechanism structure and to realize the alternative technological mechanisms. The graded structure mechanisms on the basis of the discussed algorithm were applied during the development of adaptive vibroimpact mechanism of the interplanetary station ‘Luna-24’. The researches of such mechanisms are perspective in terms of further development of corresponding programs.Motion transmission, crank-and-rocker mechanism, grashof’s theorem, crank existence condition, contact angle, angle of motion transmission, frictional constraints, mechanism motion modeling.
 2015_ 2

Sections: Mathematical modeling

Subjects: Mathematical modeling.

 S. Kashkirov, V. Manzhosov
 The Wave Model of Hauling Member (locomotive), Elastic Rod, and Transported Object Motion  A wave model was developed to simulate motion of the rod rigidly connected to a driving member (locomotive) and towing a driven member. The motion of the driving member is set cinematically. The motion of the rod cross-sections is described by a wave equation. The equation is solved by the traveling wave method. The functions of forward and backward waves on different motion intervals are determined from the conditions of their development in the rod cross-sections interfacing the driving member and the transported object. Characteristics of the forward and backward waves are linear functions. Their view in the coordinate plane allows preparation of the field of wave states for the mechanical system. The nature and time of the wave state experienced by a random cross-section of the rod on any motion interval can be assessed by the vertical slice method for the field of wave states. The computing scheme for solving motion equations is based on representation of the rod as a multitude of successively connected sections, as well as on the pattern of the forward wave development in the cross-section х = 0, the pattern of the forward and backward wave development on the “rod end - driving member (locomotive)” boundary, and the properties of the forward and backward wave functions to maintain their parameters during propagation throughout a homogeneous section at the velocity of sound. The wave model of the rod motion allows taking into account the rod distributed mass, analyzing the wave processes that determine the nature of the motion of the transported object, and determining the unilateral constraint point.Rod, wave equation, traveling wave method, strain wave, rod cross-section rate, longitudinal strain in rod cross-sections, field of wave states, computing scheme.
 2014_ 3

Sections: Mathematical modeling

Subjects: Mathematical modeling.

 A. Dozorov, V. Manzhosov
 Motion Modes of Shock System for Fluctuating Force Linear Function With Changing Characteristics Multiple technological processes are often related to using shock systems for performing of cyclic shocks on the object. Research of such systems’ dynamics, stability of motion, shock activity level requires examination of shock processes in systems with different structures. At the same time, a number of problems, confining an area of application of shock systems, arise. They are the following: finding of solutions by exact methods; taking into account complimentary non-liner factors; analysis of transient processes; detection of limit cycles of motion. These problems can be solved by means of developing the effective dynamic system simulation procedures based on the adequate mathematical models, process visualization, and representation and good processing of simulation results. The paper [1] provides an examination of the model of shock system, as well as the definition of its parameters, ensuring a required low of motion. However, a considered piecewise constant force impact may be applied to an ideal situation that is difficult to implement with a real system. Thus, it is required to know how the change of force impact would effect the mode of striker’s motion. The present paper deals with a model for shock system at force impact as linearly increasing and linearly decreasing function when force impulse, duration and period of the force impact are constant as at the piecewise constant function. A mathematical model for the shock mass motion under condition of collision with rigid barriers is given. The modeling of shock system motion at the force-impact piecewise constant, linearly increasing and linearly decreasing function is implemented. The comparative analysis of presented simulation results is performed. The motion mode of shock system at linearly increasing and linearly decreasing functions has been changed against the mode at the force-impact piecewise constant function (although the force impulse was constant in both cases). Following the results of implemented work, it may be deduced that the changing the force linear function characteristics, when impulse and duration of force, and part of cycles are constant at an appropriate system-parameter option, does not misrepresent the cyclic mode of shock mass motion if the process would be estimated at such criteria as velocity of shock to the right barrier, implementing of one impact per a cycle at the maximal velocity, and a cyclic behavior of impact.Shock system, motion modes of shock system, limit cycles of motion, modeling, cyclic mode of motion.
 2014_ 2

Sections: Mathematical modeling

Subjects: Mathematical modeling.

 S. Volynshchikov, V. Manzhosov
 Calculating Scheme for Wave Processes During Motion of Elastic Rod and Rigid Body The article presents the model of wave motion of elastic compression rod and rigid body interacting with the rod, with regard to the unilateral constraint between them. Characteristics of direct and backward waves constituted on the boundary are built. They generate the field of wave states. A method of numerical calculation taken as a basis for a computational algorithm is developed. A scheme of checking of the computational process is recommended.Elastic rod, wave processes, interaction of a rod and a rigid body, dilatation wave of deformation, speed of rod cross-sections, rod potential energy, rod kinetic energy, checking of the computational process.
 2013_ 1

Sections: Mathematical modeling

Subjects: Mathematical modeling.

 V. Manzhosov, A. Sachenko, V. Slepukhin
 Modeling of Wave Processes At Acceleration of Homogeneous Rod The article deals with a performed mathematical modeling of rod acceleration process based on wave model, and presents results of wave process modeling if the face end is exposed to constant pressure. The authors determined acceleration time required for align speeds of rod cross-sections.Modeling, rod, wave processes in rod, rod acceleration, deformation wave, rate of cross-sections, shock.
 2012_ 4

Sections: Mathematical modeling, calculi of approximations and software systems

Subjects: Mathematical modeling.

 A. Dozorov, V. Manzhosov
 Modeling of Transient Processes of Shock System Motion At Periodic Pulsing Force and When Collision With Rigid Barriers The article deals with a model for the motion of a shock system at periodic pulsing force and collisions with rigid barriers. It also presents results of the system motion modeling.Shock system, modes of shock system motion, limit cycles of motion, modeling, stability of motion.
 2012_ 4

Sections: Mathematical modeling, calculi of approximations and software systems

Subjects: Mathematical modeling.

 V. Manzhosov, I. Novikova
 Simulation of Transformation Processof Longitudinal Strain Wave At the Boundary of Interface of Barsand Resilient Elements The article deals with transformation process of longitudinal wave of strain at the boundary of heterogeneous bars and linear resilient element, and sets forth a procedure of calculation and simulation of transformation process of strain wave in bar system. It also compares the simulation results and an analytical solution of test task.Strain wave, transformation of strain wave, interface of bars to resilient element, bar system, simulation.
 2012_ 1

Sections: Mathematical modeling, calculi of approximationsandsoftware systems

Subjects: Mathematical modeling.

 V. Manzhosov, D. Novikov
 A Problem-oriented Software System for Modeling of Object Motion When Collision With Obstacles The paper deals with a model for shock-system motion under periodic force of relay type and in case of a collision with an obstacle, and suggests an algorithm of modeling control and elements of its implementation in problem-oriented software system for a computational experiment.Software system, motion modeling, collision with obstacle, computational experiment.
 2011_ 4

Sections: Software and mathematical support of computers, computer systems and networks

Subjects: Information systems.

 V. Manzhosov, D. Novikov
 Limit Cycles of Motion of a Shock System in Case of Relay-type Force and Shock Action At the Moment of Force Switching The article deals with a model for the motion of a shock system with periodic force of relay type and a shock at the moment of the force switching. It also presents the calculation of shock-system parameters and the results of the system-motion modeling.Shock system, motion modes for shock system, limit cycles of motion, modeling, stability of motion.
 2011_ 3

Sections: Mathematical modeling, calculi of approximations and software systems

Subjects: Mathematical modeling.

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