About this paper

Appears in:
Pages: 1136-1143
Publication year: 2013
ISBN: 978-84-616-3847-5
ISSN: 2340-1095

Conference name: 6th International Conference of Education, Research and Innovation
Dates: 18-20 November, 2013
Location: Seville, Spain

STUDY OF THE KINEMATICS OF RIGID BODY USING THE SLIDING VECTORS' THEORY

J. V. Llopis, C. Rubio, M. Gasque, S. Quiles

Universitat Politècnica de València (SPAIN)
The sliding vector theory is a powerful tool for the study of the three parts of Classical Mechanics in vectorial formulation: Kinematics, Statics and Dynamics. Due to the great importance of the Vector Mechanics for their technical applications in engineering, this part of the Physics is studied in the first years of Engineering Degrees, as a fundamental topic included in the subjects of Physics.

The rigid body model is the solid under study in Vectorial Mechanics. Firstly, in Kinematics, its movement is studied regardless of its causes. Afterward, in Dynamics, its motion is related with the forces that cause it. Finally, in Statics, its equilibrium under forces acting is studied.
Rigid body definition as a set of particles in which the distance between them remains constant induces its equiproyectivity velocity field property. The study of elementary movements of rigid body: Translation, Rotation and System of Rotations allow the formal expression of the velocity field.
Taken into account that the equiproyectivity property is characteristic of the moment field of a sliding vectors system, the formal expression of the velocity field of a rigid body coincides with the aforementioned moment field. It can be derived that the instantaneous velocity field of a rigid body can be formulated as the moment field of a sliding vector system. In this case, the rotation vectors act as sliding vectors, and their velocities as the moments at the points of the rigid solid.

In this paper, the theory that allows the study of the velocity field by analogy with the moment field of a sliding vectors system is developed. By means of the rotation and the velocity vectors at a given point, the classification of any the movement of rigid solid will be done. Moreover, the plane and spherical movements will defined, which provide any kind of movement of the solid if they are overlapped properly.
@InProceedings{LLOPIS2013STU,
author = {Llopis, J. V. and Rubio, C. and Gasque, M. and Quiles, S.},
title = {STUDY OF THE KINEMATICS OF RIGID BODY USING THE SLIDING VECTORS' THEORY},
series = {6th International Conference of Education, Research and Innovation},
booktitle = {ICERI2013 Proceedings},
isbn = {978-84-616-3847-5},
issn = {2340-1095},
publisher = {IATED},
location = {Seville, Spain},
month = {18-20 November, 2013},
year = {2013},
pages = {1136-1143}}
TY - CONF
AU - J. V. Llopis AU - C. Rubio AU - M. Gasque AU - S. Quiles
TI - STUDY OF THE KINEMATICS OF RIGID BODY USING THE SLIDING VECTORS' THEORY
SN - 978-84-616-3847-5/2340-1095
PY - 2013
Y1 - 18-20 November, 2013
CI - Seville, Spain
JO - 6th International Conference of Education, Research and Innovation
JA - ICERI2013 Proceedings
SP - 1136
EP - 1143
ER -
J. V. Llopis, C. Rubio, M. Gasque, S. Quiles (2013) STUDY OF THE KINEMATICS OF RIGID BODY USING THE SLIDING VECTORS' THEORY, ICERI2013 Proceedings, pp. 1136-1143.
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