Plane-Parallel Motion of a Friction-Powered Robot Moving Along a Rough Horizontal Plane

2019 ◽  
pp. 2559-2565 ◽  
Author(s):  
Marat Dosaev ◽  
Vitaly Samsonov ◽  
Andrei Holub
Keyword(s):  
Horizontal Plane ◽  
Plane Parallel ◽  
Parallel Motion

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.

Retinal Orientation and the Discrimination of Polarized Light by Octopuses

1961 ◽  
Vol 38 (4) ◽  
pp. 827-831
Author(s):  
C. H. FRASER ROWELL ◽  
M. J. WELLS
Keyword(s):  
Horizontal Plane ◽  
Intact Animal ◽  
Vertical Plane ◽  
Polarized Light ◽  
Plane Parallel ◽  
Light Plane ◽  
Plane Normal ◽  
Fixed Orientation ◽  
Reflecting Surfaces ◽  
Polarization Of Light

1. The object of the investigation was to show that the ability of Octopus to detect the plane of polarization of light does not depend upon differential reflexion from its surroundings. 2. Animals were trained to distinguish between light plane polarized in the vertical plane (normal to the iris slit of the intact animal) and in the horizontal plane (parallel to the slit). 3. The statocysts were then removed, abolishing the normally fixed orientation of the eyes with respect to gravity. 4. After the operation the plane of polarization was set at each trial so as to be either normal or parallel to the iris slit. Because the eyes were now disoriented, there was no longer any constant relation between these planes and the fixed reflecting surfaces of the aquarium. 5. The animals, nevertheless, continued to discriminate correctly. It is therefore concluded that detection of the plane of polarization depends upon some intra-ocular mechanism.

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.

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.

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