Abstract
This chapter presents a summary of the analytical tools required to understand the theoretical aspects of modal analysis. From the mathematical point of view, modal analysis results because of the ability to decouple coupled sets of ordinary differential equations. This ability is normally set in the context of linear algebra and the theory of matrices. Hence, much of what follows is based upon manipulations of vectors and matrices. The orientation of this chapter is to provide the elementary background required for the following chapters.
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References
Boyce, E. D. and DePrima, R. C. (1986). Elementary Differential Equation and Boundary Value Problem, 4th ed., New York: John Wiley.
Inman, D. J. (1989), Vibration with Control, Measurement and Stability, Prerztire Hall, Englewood Cliffs, New Jersey.
Lancaster, P. (1968). Lambda Matrices and Vibrating Systems.
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© 1999 Springer Science+Business Media Dordrecht
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Inman, D.J. (1999). Theoretical Models for Modal Analysis. In: Silva, J.M.M., Maia, N.M.M. (eds) Modal Analysis and Testing. NATO Science Series, vol 363. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4503-9_10
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DOI: https://doi.org/10.1007/978-94-011-4503-9_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-5894-7
Online ISBN: 978-94-011-4503-9
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