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A Comprehensive Laboratory Curriculum in Single Degree of Freedom (S-D-F) Vibrations Phase I Working Model Experiments

ABSTRACT A package of experiments for examination of the Single-Degree-of-Freedom Vibration Systems is proposed for national adoption. The comprehensive and robust package will examine the Dynamic Characteristics of Free and Harmonically Forced Systems with and without Damping. The modes of vibration are linear with Mass, Spring and Damper in a vertical orientation. The capabilities incorporated in the design of the associated apparatuses allow for adjustments of the values of: a) mass, b) damping coefficient, c) spring constant, d) the setting of the Initial Conditions, e) control of the frequency, and f) the amplitude of the driving forces. The apparatus will be interfaced with Matlab and Vernier to measure system response and display the results both numerically and graphically. Students in a Vibration, Control Systems, or a measurement related exercise/course may be challenged to generate the mathematical models of the proposed modes of experimentation.

In Phase-I of the project; and to insure the high quality and reliability of the potential designs (for the robust and affordable apparatus), Working Model 2D software has been employed for the preliminary modeling, simulation and testing of a set of practical systems. The successful implementation of this phase of the project has encouraged the authors to share their practical and cost-effective results with the educational community. This effort should prove valuable to those colleagues who are limited in time (for set up and conducting such valuable experiments and exercises) and also those who struggle with resources (for obtaining the necessary hardware/space). Phase-II of the project will concentrate on the design, fabrication, interfacing, and testing of all the intended modes and will be presented in a future work.

I - INTRODUCTION Experimentation is one of the most effective means for a student to gain a thorough understanding of the materials taught in class. It provides a means to verify the theories through data collection and interpretation. A single degree of freedom vibrations apparatus can be used for either demonstration or experimentation in such classes as Dynamics, Vibrations, Controls, Differential Equations, and of course, an Engineering Laboratory.

Despite the many advantages of using a commercially available single degree of freedom apparatus, they are prohibitively expensive for many institutions, which can cost upwards of $20,000. Commercially available vibration apparatuses are not only expensive but they also tend to be limited. The other apparatuses researched by this group did not provide all the desired modes of operation and modularity of experimentation in Single Degrees of Freedom Modes.

It was therefore desirable to design an apparatus that would be able to be replicated by other educational institutions, with a budget of $3,000 in materials and components and about 75 hours of machining. The unit created would incorporate design features that would allow for a reduced cost and increased quantity of features. The design would incorporate a wide variety of modes and experimentation in order to provide the students with a comprehensive understanding of (S-D-F) vibrations.

Proceedings of the 2008 American Society for Engineering Education Annual Conference & Exposition Copyright © 2008, American Society for Engineering Education

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Colletti, A., & Monaghan, J., & Sepahpour, B. (2008, June), A Comprehensive Laboratory Curriculum In Single Degree Of Freedom (S D F) Vibrations; Phase I – Working Model Experiments Paper presented at 2008 Annual Conference & Exposition, Pittsburgh, Pennsylvania. 10.18260/1-2--4354