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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider again the damped system of Problem 1.117 and design a damper such that the oscillation dies out after 2 seconds. There are at least two ways to do this. Here it is intended to solve for the response numerically, following Examples 1.9.2, 1.9.3, or 1.9.4, using different values of the damping parameter c until the desired response is achieved.
Problem 1.117
Use numerical integration to solve the system of Example 1.7.3 with m = 1361 kg, k = 2.688 * 105 N>m, c = 3.81 x 103 kg/s subject to the initial conditions x(0) = 0 and
(0) = 0.01 mm>s. Compare your result using numerical integration to just plotting the analytical solution (using the appropriate formula from Section 1.3) by plotting both on the same graph.
Example 1.7.3
As a final example, consider modeling the vertical suspension system of a small sports car, as a single-degree-of-freedom system of the form
Example 1.9.2
Use the ode45 function to simulate the response to 3
 +
 + 2x = 0 subject to the initial conditions x(0) = 0,
 (0) = 0.25 over the time interval 0 ≤ 20.
Example 1.9.3
Solve Example 1.9.2 using the Mathematica program
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Example 1.9.4
Solve Example 1.9.2 using the Mathcad program
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