Prac exam 2 S07 - Departmentof Mechanical Engineering Pr ob...

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_f v, luLt) rll shdrp WDw- An innocuous looking mechanical system design was smuggled into MSU from an unnamed source. It is shown in Figure 3. See if you can predict its behavior. Department of Mechanical Engineering t Problem.( . The mass and the damper are both Iinear, with parameters as shown. The spring is nonlinear, with a square-law characteristic. Specifi cally, ( ,-t Fs(5\ =)* k5' for 5 2'0: l- *A' .for 6 <0. Note that dis positive in compression, as given by 6 = L.,. - L, where I is the length utr6 l,1is the free length of the spring. The input velocify, Vo(t), is generated by a shake table. (a) Write a bond graph model. (b) Write a set of system equations. Reduce them to a state-equation set. fll "v (c) If the input velocity Vo(t): 0, find an equilibrium point (EP). (d) At the EP of part (c) find alinearized system model. What is rhe A matrix? (e) At the EP, what is the smaliest
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This note was uploaded on 07/25/2008 for the course ME 457 taught by Professor Rosenberg during the Spring '07 term at Michigan State University.

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Prac exam 2 S07 - Departmentof Mechanical Engineering Pr ob...

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