On the Dynamics of a Ball Rolling on a Tipping Plane

Luis Paulo; Jon Selig

doi:10.1007/978-3-030-20131-9_194

On the Dynamics of a Ball Rolling on a Tipping Plane

Luis Paulo, Jon Selig

Research output: Contribution to conference › Paper › peer-review

Abstract

The model of a ball rolling on an inclined plane is derived using screw theory and Lie algebra. The plane is supported by a gimbal and the inclination can be controlled in two orthogonal directions. The model includes effects due gravity, Coriolis and centripetal torques.

Original language	English
DOIs	https://doi.org/10.1007/978-3-030-20131-9_194
Publication status	Published - 30 Jun 2019
Externally published	Yes
Event	15th IFToMM World Congress, - Duration: 30 Jun 2019 → …

Conference

Conference	15th IFToMM World Congress,
Period	30/06/19 → …

Access to Document

10.1007/978-3-030-20131-9_194Licence: CC BY 4.0

Cite this

@conference{15ed8d9136c04cd18711669cc6b621ed,

title = "On the Dynamics of a Ball Rolling on a Tipping Plane",

abstract = "The model of a ball rolling on an inclined plane is derived using screw theory and Lie algebra. The plane is supported by a gimbal and the inclination can be controlled in two orthogonal directions. The model includes effects due gravity, Coriolis and centripetal torques.",

author = "Luis Paulo and Jon Selig",

year = "2019",

month = jun,

day = "30",

doi = "10.1007/978-3-030-20131-9_194",

language = "English",

note = "15th IFToMM World Congress, ; Conference date: 30-06-2019",

}

TY - CONF

T1 - On the Dynamics of a Ball Rolling on a Tipping Plane

AU - Paulo, Luis

AU - Selig, Jon

PY - 2019/6/30

Y1 - 2019/6/30

N2 - The model of a ball rolling on an inclined plane is derived using screw theory and Lie algebra. The plane is supported by a gimbal and the inclination can be controlled in two orthogonal directions. The model includes effects due gravity, Coriolis and centripetal torques.

AB - The model of a ball rolling on an inclined plane is derived using screw theory and Lie algebra. The plane is supported by a gimbal and the inclination can be controlled in two orthogonal directions. The model includes effects due gravity, Coriolis and centripetal torques.

U2 - 10.1007/978-3-030-20131-9_194

DO - 10.1007/978-3-030-20131-9_194

M3 - Paper

T2 - 15th IFToMM World Congress,

Y2 - 30 June 2019

ER -

On the Dynamics of a Ball Rolling on a Tipping Plane

Abstract

Conference

Access to Document

Other files and links

Fingerprint

Cite this