ERIC Number: EJ1127859
Record Type: Journal
Publication Date: 2017
Abstractor: As Provided
Visualization in Mechanics: The Dynamics of an Unbalanced Roller
Cumber, Peter S.
International Journal of Mathematical Education in Science and Technology, v48 n3 p434-454 2017
It is well known that mechanical engineering students often find mechanics a difficult area to grasp. This article describes a system of equations describing the motion of a balanced and an unbalanced roller constrained by a pivot arm. A wide range of dynamics can be simulated with the model. The equations of motion are embedded in a graphical user interface for its numerical solution in MATLAB. This allows a student's focus to be on the influence of different parameters on the system dynamics. The simulation tool can be used as a dynamics demonstrator in a lecture or as an educational tool driven by the imagination of the student. By way of demonstration the simulation tool has been applied to a range of roller-pivot arm configurations. In addition, approximations to the equations of motion are explored and a second-order model is shown to be accurate for a limited range of parameters.
Descriptors: Visualization, Mechanics (Physics), Engineering Education, Equations (Mathematics), Motion, Computer Graphics, Computer Simulation, Teaching Methods, Mathematical Models, Undergraduate Students
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Authoring Institution: N/A
Grant or Contract Numbers: N/A