= Rayleigh's quotient in vibrations analysis
{wiki=Rayleigh's_quotient_in_vibrations_analysis}
Rayleigh's quotient is a method used in the analysis of vibrations, particularly in determining the natural frequencies of a system. It is derived from the Rayleigh method, which utilizes energy principles to approximate the natural frequencies of a vibrating system. The Rayleigh quotient \\( R \\) for a dynamical system can be expressed as: \\\[ R = \\frac\{U\}\{K\} \\\] Where: - \\( U \\) is the potential energy of the system in a given mode of vibration.
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