Flow Vibration Noise Quiz II - by Lee.gse

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1. (10 pts.) Find the Fourier coefficients of the fixed, fixed, string of length L pulled aside a distance h at its midpoint


2. (10 pts.) A sawtooth wave falling linearly from +1 to -1 over each period T of motion can be expressed as f(t)=(1-2t/T) and repeats for 0<=t<=T each period. Determine that the Fourier coefficients.


3. (10 pts. = 5+5)
(a) Derive g(w) for f(t)=exp(-bt) 1(t)
(b) Derive g(w) for f(t)=1(t) by allowing b->0

4. (10 pts.) A simple oscillator at rest is struck with a force f(t)=delta(t) [Ns] is the impulse. Find the displacement and speed of mass using Fourier transforms.


5. (10 pts.) Obtain the spectral density of f(t)=exp(-bt) sin(wt) 1(t)


solution is uploaded following blog:
http://blog.naver.com/testmony/20128515145

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