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Assessing the Reliability of some Classical Mechanical Vibration Designs via Simulation Software

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2011 ASEE Annual Conference & Exposition


Vancouver, BC

Publication Date

June 26, 2011

Start Date

June 26, 2011

End Date

June 29, 2011



Conference Session


Tagged Division

Computers in Education

Page Count


Page Numbers

22.247.1 - 22.247.15



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Paper Authors


Arnaldo Mazzei Kettering University

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Arnaldo Mazzei is a Professor of Mechanical Engineering at Kettering University. He received his Ph.D. in Mechanical Engineering from the University of Michigan in 1998. He specializes in dynamics and vibrations of mechanical systems and stability of drivetrains with universal joints. His current work relates to modal analysis, stability of drivetrains, finite element analysis and CAE. He is a member of ASEE, ASME, SAE, and SEM.

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Richard A. Scott University of Michigan

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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. 10.18260/1-2--17528

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