Results of mathematical model of plane-parallel motion multielement tractor unit

2015 ◽  
Vol 3 (2) ◽  
pp. 15-19
Author(s):  
R. Antoshchenkov
Keyword(s):  
Mathematical Model ◽  
Plane Parallel ◽  
Parallel Motion

scholarly journals Mathematical Model of the Plane-Parallel Movement of the Self-Propelled Root-Harvesting Machine

2018 ◽  
Vol 10 (10) ◽  
pp. 3614 ◽  
Author(s):  
Volodymyr Bulgakov ◽  
Simone Pascuzzi ◽  
Francesco Santoro ◽  
Alexandros Anifantis
Keyword(s):  
Mathematical Model ◽  
Experimental Tests ◽  
Quality Parameters ◽  
The Self ◽  
Crop Damage ◽  
Root Crop ◽  
Plane Parallel ◽  
Parallel Movement ◽  
Parallel Motion ◽  
Harvest Techniques

The harvest techniques and the employed machines are important factors in reducing soil loss due to root crop harvesting. Furthermore, the deviation of the working organs of the self-propelled sugar root harvesting machines from the axis of the row also leads to significant losses and damage to sugar beetroots. Therefore, the self-propelled machine units must move in a horizontal plane with a high degree of accuracy. The purpose of this study is to increase the efficiency of the self-propelled harvester by analyzing its plane-parallel motion and evaluating its constructive and kinematic parameters. In order to determine the influence of these parameters on the plane-parallel motion of the self-propelled root harvesting machine, its mathematical model has been calculated. Furthermore, experimental tests were executed in order to evaluate the degree of damage to sugar beetroot crops during their digging, depending on the magnitude of the deviations of the center of the digging tool. The results of this trials highlighted that if the crop row deviates from the conventional axis line by 10 mm, the root crop damage exceeds is 21.7% and at deviations by 70 mm, the damage exceeds 67%. The theoretical study of the trajectory of the center of the outside digging tool and the experimental evaluation of its work (in terms of the quality of harvesting with deviations in its trajectory of motion) formally confirm the coincidence of all the studies—both theoretical and experimental. The use of the model of the plane-parallel movement of the self-propelled root harvesting machine then improves the quality parameters of the technological process.

scholarly journals Cases of integrability corresponding to the pendulummotion on the plane

2017 ◽  
Vol 21 (10) ◽  
pp. 91-113
Author(s):  
M.V. Shamolin
Keyword(s):  
Rigid Body ◽  
Force Field ◽  
Invariant Form ◽  
Motion Equations ◽  
Plane Parallel ◽  
Free Rigid Body ◽  
Parallel Motion ◽  
Tracking Force ◽  
Similar Force

In this article, we systemize the results on the study of plane-parallel motion equations of fixed rigid body-pendulum which is placed in certain nonconserva- tive force field. In parallel, we consider the problem of a plane-parallel motion of a free rigid body which is also placed in a similar force field. Thus, the non-conservative tracking force operates onto this body. That force forces the value of certain point of a body to be constant for all the time of a motion, which means the existence of nonintegrable servoconstraint in the system. The obtained results are systematized and served in the invariant form. We also show the nontrivial topological and mechanical analogies.

scholarly journals Dynamics of a rigid rotor in the elastic bearings

2004 ◽  
Vol 31 (1) ◽  
pp. 73-83 ◽  
Author(s):  
Inga Arkhipova
Keyword(s):  
Linear System ◽  
Mechanical System ◽  
Degrees Of Freedom ◽  
Rotation Frequency ◽  
Rigid Rotor ◽  
Plane Parallel ◽  
Vertical Rotor ◽  
Parallel Motion ◽  
Non Linear ◽  
Unlimited Growth

As a rule in the studies of a rigid rotor in the elastic bearings the authors consider the linear system corresponding to the plane-parallel motion and the effect of self-centring under unlimited growth of the rotation frequency. In the present paper rotor is considered as a mechanical system with four degrees of freedom. Different motions of a statically and dynamically unbalanced vertical rotor supported in the non-linear bearings are studied.

scholarly journals OPTIONS FOR PLANE-PARALLEL MOVEMENT OF GRAINS IN A SCRAPER CONVEYOR

2020 ◽  
Vol 14 (4) ◽  
pp. 96-99
Author(s):  
Sergey Yakhin ◽  
Il'gam Masalimov ◽  
Marat Nafikov ◽  
Ramis Mardanov
Keyword(s):  
Complex Motion ◽  
Sliding Speed ◽  
Friction Forces ◽  
Plane Parallel ◽  
Parallel Movement ◽  
Parallel Motion ◽  
Touch Point ◽  
Scraper Conveyor ◽  
Instantaneous Center ◽  
Kinematic Diagram

The kinematics of plane-parallel motion of a wheat or rye grain when moving in an inclined position in a scraper conveyor is considered. A kinematic diagram of the plane-parallel motion of the grain in the scraper conveyor was compiled, the position of the instantaneous center of the flat figure was determined, and options for the movement of grain in an inclined position at various possible positions of instantaneous center were considered. The profile of the grains is outlined by an elliptical curve. The point of contact of the elliptical profile of the caryopsis with the scraper makes a complex motion, while the horizontal speed of the scraper is portable for it, the sliding speed on the surface of the scraper is relative. The speed of the touch point of the grain with the pan is horizontal. For six possible positions of the instantaneous center, the directions of the velocities of the points of contact of the grains and the friction forces acting in them are determined. Grains of wheat or rye, moved in a scraper conveyor, in some cases can make plane-parallel movement. The point of contact of the elliptical profile of the caryopsis with the scraper makes a complex motion, while the horizontal speed of the scraper is portable for it, the sliding speed on the surface of the scraper is relative. The speed of the touch point 2 of the grain with the pan is horizontal.

scholarly journals A Mathematical Model of Plane-Parallel Movement of the Tractor Aggregate Modular Type

Agriculture ◽  
2020 ◽  
Vol 10 (10) ◽  
pp. 454
Author(s):  
Volodymyr Bulgakov ◽  
Aivars Aboltins ◽  
Semjons Ivanovs ◽  
Ivan Holovach ◽  
Volodymyr Nadykto ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Horizontal Plane ◽  
Hydraulic Cylinder ◽  
Design Solution ◽  
Design Parameters ◽  
Power Module ◽  
Efficient Operation ◽  
Plane Parallel ◽  
Parallel Movement ◽  
The Stability

The new machine-and-tractor aggregate of a modular type, developed by us, consisting of the power and the technological modules, can significantly increase the efficiency of using the tractor when it is aggregated with a five-body plough. The new design solution for connecting these modules in a horizontal plane through a damper, consisting of a hydraulic cylinder and a throttle, allows significant increasing of the movement stability of this aggregate in a transverse-horizontal plane. To test the efficient operation of the proposed design, as well as to determine the kinematic and design parameters that provide the required level of stable movement of this modular machine-and-tractor aggregate, we carried out theoretical and experimental field investigations. For this, a new mathematical model of plane-parallel movement of the machine-and-tractor aggregate of this type was built. It was found that a change in the operating speed of this aggregate during ploughing from 1.0 to 3.0 m∙s−1 does not lead to a deterioration in the stability of the movement of either the technological or, especially, the power modules. The delay in the reaction of the power module of the machine-and-tractor aggregate of the modular type is practically invariant with respect to the change in the mode of movement of this aggregate within the range 1–3 m∙s−1. It was also found that the values of the tire slip resistance coefficients of the wheels of the power module do not have a noticeable impact upon the development of fluctuations of the disturbing moment.

Study of the Rotational Motion of a Rigid Body in Profile School Elective Courses

2016 ◽  
Vol 4 (3) ◽  
pp. 40-45
Author(s):  
Харыбина ◽  
I. Kharybina ◽  
Новикова ◽  
Tatyana Novikova ◽  
Новиков ◽  
...  
Keyword(s):  
Rigid Body ◽  
Conservation Laws ◽  
Rotational Motion ◽  
School Level ◽  
Plane Parallel ◽  
Parallel Motion ◽  
Elective Courses ◽  
Formation Method ◽  
Instantaneous Center ◽  
Physics Course

The article deals with the problem of studying the rotational motion of a rigid body in a physics course at profi le school. It is proposed to supplement the study of the topic elective courses to meet the challenges of the kinematics, dynamics, conservation laws for describing plane-parallel motion of a solid body. The article gives examples of jobs on the formation method of fi nding instantaneous center of velocity, methods are provided for the activities of the students at the school level action.

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