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Unformatted text preview: 4 Does this single degree of freedom equation remind you of anything? Both of these sets of equations describe how forcing functions (in space and time) excite uncoupled modes of vibration. M r [ ] ˙ ˙ p { } + C r [ ] ˙ p { } + K r [ ] p { } = Ψ [ ] T f { } Example f(x,t) 5 If we assume a forcing function, then we can arrive at the following set of equations: Example 6 The meaning of this solution, is that only modes like not are excited by a spatial forcing function like . Also, modes of vibration with natural frequencies, ω r , close to the forcing frequency, , are excited the most. Note the analogy to FRFs… Numerator Denominator...
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 Fall '09
 General Relativity, Partial differential equation, discrete case, freedom equation remind

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