June 26, 2011
June 26, 2011
June 29, 2011
Computers in Education
22.247.1 - 22.247.15
Assessing the Reliability of some Classical Mechanical Vibration Designs via Simulation SoftwareAbstractThis work is part of an ongoing series on problems which aid students inachieving a better understanding of underlying engineering principles and a betterappreciation for the limitations of linear physical modeling in dynamics. Anotherissue worthy of attention is how robust some designs are based on linearmodeling. The problems treated here (3 in all) do not have analytical solutionsand have only become tractable due to the widespread availability and earlyexposure in introductory mathematics classes to simulation software such asMAPLE®, MATLAB® etc. MAPLE® is employed here. The first problem ismeant to enhance students understanding of stability. It concerns a spring-masssystem vibrating in a slot in a horizontal disk rotating with a prescribed motion. Itis shown that for certain spin-up speeds, instabilities can develop if the systemparameters are not chosen properly. Effects of spring non-linearity on theseinstabilities are explored. An area that students should be aware of is thereliability of designs based on linear models. A passive vibration absorber isrevisited and it is shown that the classical choice of system parameters may notwork if spring non-linearities are included. Choices that do work are given.Finally a problem involving "vibration cancellation" is studied. The response of alinear single degree of freedom spring-mass system to a pulse can be madeidentically zero for all times greater than a certain one by the application of asecond pulse with a suitable phase difference. Some effects of spring non-linearities on the linear model predictions are given.
Mazzei, A., & Scott, R. A. (2011, June), Assessing the Reliability of some Classical Mechanical Vibration Designs via Simulation Software Paper presented at 2011 ASEE Annual Conference & Exposition, Vancouver, BC. https://peer.asee.org/17528
ASEE holds the copyright on this document. It may be read by the public free of charge. Authors may archive their work on personal websites or in institutional repositories with the following citation: © 2011 American Society for Engineering Education. Other scholars may excerpt or quote from these materials with the same citation. When excerpting or quoting from Conference Proceedings, authors should, in addition to noting the ASEE copyright, list all the original authors and their institutions and name the host city of the conference. - Last updated April 1, 2015