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Published in:
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2018 | OriginalPaper | Chapter

2. Miles’ Equation

Author : Jaap Wijker

Published in: Miles' Equation in Random Vibrations

Publisher: Springer International Publishing

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Abstract

The root mean square (r.m.s.) response of a single degree of freedom (SDOF) system when exposed to white noise random excitation can be approximated applying Miles’ equation. In this chapter, Miles’ equation is derived for a) a random enforced acceleration and b) a random applied force. A further approximation was introduced assuming a more or less flat PSD of acceleration and force in the vicinity of the natural frequency of the SDOF system. The accuracy of the approximation with Miles’ equation is investigated, and examples are worked out. Problems with solutions are provided to get more understanding of the limitations of Miles’ equation.

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Appendix
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Metadata
Title
Miles’ Equation
Author
Jaap Wijker
Copyright Year
2018
Book
Miles' Equation in Random Vibrations

Print ISBN: 978-3-319-73113-1

Electronic ISBN: 978-3-319-73114-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-73114-8_2

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