Dynamics of a homogeneous ball on a horizontal plane with sliding, spinning, and rolling friction taken into account

Ishkhanyan, M. V.; Karapetyan, A.V.

doi:10.3103/s0025654410020019

Cited by 9 publications

(3 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At present, active research is underway on quite a number of related problems. This includes investigation and development of models of contact interaction of a spherical body with the plane (surface) [8][9][10][11][12][13][14][15][16][17][18][19], explanation of the dynamics of motion of inhomogeneous spherical bodies, in particular, those with internal mechanisms changing the position of the center of mass and the angular momentum of the system [4,[20][21][22][23][24][25]. The problems of planning the motion of spherical robots along a trajectory [26][27][28][29][30][31][32][33][34][35][36] are no less popular.…”

Section: Introductionmentioning

confidence: 99%

Spherical Robots: An Up-to-Date Overview of Designs and Features

Karavaev¹

2022

Nelin. Dinam.

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Spherical Robots: An Up-to-Date Overview of Designs and Features

Karavaev¹

2022

Nelin. Dinam.

View full text Add to dashboard Cite

show abstract

“…The investigation of the dynamics of the sphere for the motions (3) reduces to an analysis of the system of equations (4) where 6 (5) k > 0 is the coefficient of friction and ∈ [0,1] and ∈ [0,1] are the parameters of the friction model ( ≤ ). Theorem.…”

mentioning

confidence: 99%

The interconnection of sliding and rolling in the problem of the motion of a homogeneous sphere on a rough horizontal plane

Ishkhanyan¹

2010

Journal of Applied Mathematics and Mechanics

View full text Add to dashboard Cite

“…Also, he analyzes, in Ref. 5, the dynamics of a homogeneous ball on a horizontal plane with friction of all kinds, namely, sliding, spinning, and rolling friction, taken into account.…”

Section: Introductionmentioning

confidence: 99%

Analytic study of a rolling sphere on a rough surface

Florea

Roşca

2016

AIP Advances

View full text Add to dashboard Cite

In this paper it is realized an analytic study of the rolling’s sphere on a rough horizontal plane under the action of its own gravity. The necessities of integration of the system of dynamical equations of motion lead us to find a reference system where the motion equations should be transformed into simpler expressions and which, in the presence of some significant hypothesis to permit the application of some original methods of analytical integration. In technical applications, the bodies may have a free rolling motion or a motion constrained by geometrical relations in assemblies of parts and machine parts. This study involves a lot of investigations in the field of tribology and of applied dynamics accompanied by experiments. Multiple recordings of several trajectories of the sphere, as well as their treatment of images, also followed by statistical processing experimental data allowed highlighting a very good agreement between the theoretical findings and experimental results.

show abstract

Dynamics of a homogeneous ball on a horizontal plane with sliding, spinning, and rolling friction taken into account

Cited by 9 publications

References 2 publications

Spherical Robots: An Up-to-Date Overview of Designs and Features

Spherical Robots: An Up-to-Date Overview of Designs and Features

The interconnection of sliding and rolling in the problem of the motion of a homogeneous sphere on a rough horizontal plane

Analytic study of a rolling sphere on a rough surface

Contact Info

Product

Resources

About