Rayleigh's quotient in vibrations analysis
id:
rayleigh-s-quotient-in-vibrations-analysis-308-4039483
title:
Rayleigh's quotient in vibrations analysis
text:
The Rayleigh's quotient represents a quick method to estimate the natural frequency of a multi-degree-of-freedom vibration system, in which the mass and the stiffness matrices are known. The eigenvalue problem for a general system of the form in absence of damping and external forces reduces to The previous equation can be written also as the following: where λ = ω 2 , in which ω represents the natural frequency, M and K are the real positive symmetric mass and stiffness matrices respectively. F
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https://en.wikipedia.org/wiki/Rayleigh%27s_quotient_in_vibrations_analysis
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date modified:
2022-06-02T19:58:39Z
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