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# hw2 - 5 Repeat Problem(4 by using dampers instead of...

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AE 383 System Dynamics Homework 2 Handed out: June 27 th , 2006 Due: July 1 st , 2006 (Saturday) 1. Obtain the transfer function representation of the following systems a) u x x x = + + & & & 2 2 b) u u x x 2 5 + = + & & & 2. Obtain the state-space representation of the following system u y y y y = + + + 10 4 & & & & & & 3. Obtain the transfer function representation of the system whose state space matrices are: [ ] 0 , 0 0 1 , 3 0 0 , 2 10 6 1 0 0 0 1 0 = = = - - - = D C B A 4. Derive expressions for the spring constants of the following two systems.
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Unformatted text preview: 5. Repeat Problem (4) by using dampers instead of springs. 6. For a damper with b = 2.0 N/(m/s) , calculate and sketch the frequency response curves. If the amplitude of the sinusoidal driving force is 10 N , find the frequency at which the displacement amplitude is 0.01m . f k 1 k 2 k 1 k 2 f...
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