ae_383_hw2 - c) state space block in Simulink The three...

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AE 383 SYSTEM DYNAMICS Homework 2, Due July 26 th 2007 1. Obtain the equivalent spring constant, k eq , for the system shown in the figure below. 2. Consider the system shown in the figure below. The bar A-A’ has no mass. The spring constant k = 2000 N/m and the damper constant b = 12000 N-s/m . Determine the equation of motion for this system. ( F is the input and x is the output) and find the output x(t), for t > 0 , for the following inputs by using a) analytical methods (Laplace transform or method of undetermined coefficients) b) transfer function block in Simulink
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Unformatted text preview: c) state space block in Simulink The three inputs are: i. ≥ < = 100 ) ( t N t t F ii) ≥ < = 100 ) ( t t N t F iii) ≥ < = ) ( t t t t F (ramp) d) For the ramp input what is the “steady-state error” and the “steady-state time lag” of the system? 3. 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 . k 1 k 2 k 3...
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This note was uploaded on 10/24/2011 for the course AEE 463 taught by Professor Melin during the Spring '11 term at Middle East Technical University.

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