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2019 | OriginalPaper | Chapter

2. Modal Analysis

Authors : Tony L. Schmitz, K. Scott Smith

Published in: Machining Dynamics

Publisher: Springer International Publishing

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Abstract

Chapter 2 describes how to use modal analysis, or the study of a system’s dynamic properties in the frequency domain, to describe the tool point dynamics for tool-holder combinations. It first reviews the fundamentals of single and two degree of freedom free and forced vibrations to establish notation conventions for a description of modal analysis. The text then discusses frequency response functions, details a modal fitting technique for extracting modal parameters, and describes the experimental procedures and equipment used to measure tool point frequency response functions.

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Appendix
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Footnotes
1
The conductor is a conductive, nonmagnetic material. Aluminum and copper are common choices.
 
2
We observe that the cross FRF in Fig. 2.26 looks very different than the direct FRF in Fig. 2.21; the higher frequency mode is “upside down” in Fig. 2.26. As we saw in Sect. 2.4, this is because the two modes are out of phase for the cross FRF, which results in the sign change.
 
3
This \( \frac{1}{k} \) term can be referred to as the DC compliance.
 
Literature
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Schmitz, T., & Smith, K. S. (2012). Mechanical vibrations: Modeling and measurement. New York, NY: Springer.CrossRef
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Ganguly, V., & Schmitz, T. (2014). Phase correction for frequency response function measurements. Precision Engineering, 38, 409–413.CrossRef
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Ashory, M. (1999). High quality modal testing methods. Ph.D. Dissertation, Imperial College of Science, Technology, and Medicine, London.
Metadata
Title
Modal Analysis
Authors
Tony L. Schmitz
K. Scott Smith
Copyright Year
2019
Book
Machining Dynamics

Print ISBN: 978-3-319-93706-9

Electronic ISBN: 978-3-319-93707-6

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-93707-6_2

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