Title :
Mathematical concepts on Classical Mechanics using computational methods
Author :
Chávez-Barranco, Serafin ; Enriquez-Caldera, Rogerio ; Martínez-Carballido, Jorge
Author_Institution :
Grupo de Instrum., Inst. Nac. de Astrofis., Opt. y Electron., Puebla, Mexico
Abstract :
This paper presents a computer aid to conceive fundamental mathematical concepts involved in Classical Mechanics. Such aid is a set of applets that show the use of mathematical tools in the initial stages of the Dynamics of a rigid body. These applets could allow understanding the subject in an interactive graphical way. The general application program includes: i) theoretical information on some beginning topics in Classical mechanics, ii) the use of the interactive applets, iii) the graphical support and iv) different examples to strengthen the involved concepts. The treated topics are: Generalized Coordinates, Quaternions, Reference System Transformation, trajectory determination, the Lagrange Method and the moments of inertia tensor.
Keywords :
classical mechanics; computational geometry; computer animation; data visualisation; object-oriented programming; Lagrange method; application program; classical mechanics; computational methods; fundamental mathematical concepts; generalized coordinates; graphical support; interactive applets; interactive graphical way; mathematical tools; moments of inertia tensor; quaternions; reference system transformation; rigid body dynamics; trajectory determination; Computers; Mathematical model; Quaternions; Tensile stress; Trajectory; Vectors; Visualization;
Conference_Titel :
Electrical Communications and Computers (CONIELECOMP), 2012 22nd International Conference on
Conference_Location :
Cholula, Puebla
Print_ISBN :
978-1-4577-1326-2
DOI :
10.1109/CONIELECOMP.2012.6189927