ME 4183 Chapter : Fall 2017 Exam 1 Solutions

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15 Mar 2019
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Me 4183 theory and design of mechanical control systems. Find the transfer function 1( ) ( ) for the system in the gure below. 2 + + 1 1( ) ( + 1) 2( ) = ( ) ( + 1) 1( ) + 2 + + 2 2( ) = 0. 2 + + 2 ( + 1)2. 4 + 2 3 + 3 2 + + 1. The mechanical system below contains a nonlinear damper whose damping force is = 2 + 1 . Linearize the damping force about 0 = 0 and 0 = 0, and determine the system"s linearized di er- ential equation model. If the applied force is a unit step, classify the step response of the system. ( 0) (1) (2) + 2 + 1 + = . =0 where = 0 = . Then, from (1) and (2), we get whose transfer function is.

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