me375_sp11_hwk05

me375_sp11_hwk05 - ME 375 Spring 2011 Homework No. 5 Due:...

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ME 375 – Spring 2011 Homework No. 5 Due: Friday, February 15 Problem No. 1 (30%) Recall the two-degree-of-freedom system in problem 3 of Homework No. 1 as shown below. The differential equations of motion (EOMs) for the system in terms of the outputs () x t , t θ , and input ut are: ( 2) 0 3 ( ( ) 2 mx c x R k x R mR c R x k R x ku t θθ +− + = + = ± ±± ± ± ± (a) Develop the transfer function / () Gs Xs Us = corresponding to the output of x t and input . (b) What is the corresponding input/output differential equation with the output x t and input ?
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Problem No. 2 (40%) A door closing mechanism, which is used to automatically close an open door, can be represented as a simple second-order system as follows: JBKT θθθ + += ±± ± where J is the door inertia about the hinges, B is the damping coefficient in the closing damper, and K is the spring stiffness in the closing spring. θ is the angle of door opening, and T is the applied torque when the door is pushed open.
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me375_sp11_hwk05 - ME 375 Spring 2011 Homework No. 5 Due:...

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