Abstract
A review of the formulation of the problem and methods in the theory of random vibrations are given in this chapter. Methods developed for the analysis of continuous systems as well as methods for systems with a finite number of degrees of freedom are considered. Many of these methods are used in other fields of applied mathematics, such as, for instance, the theory of automatic control, statistical radiophysics, radioengineering and others. Here, the mentioned methods are considered in terms of the theory of vibrations of mechanical systems. Some methods developed especially for nonlinear systems (the method of statistical linearization, for instance) will be dealt with in Chapter 6.
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© 1984 Springer Science+Business Media Dordrecht
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Bolotin, V.V. (1984). Methods in the Theory of Random Vibrations. In: Leipholz, H.H.E. (eds) Random vibrations of elastic systems. Mechanics of Elastic Stability, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2842-3_2
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DOI: https://doi.org/10.1007/978-94-017-2842-3_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8280-0
Online ISBN: 978-94-017-2842-3
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