# HW1 - ME576 1 HW#1 Name Spring 2011 Design a closed loop...

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M E576 HW#1 Name Spring 2011 1. Design a closed loop control system using a DC motor as the axial drive element and an incremental encoder as the feedback device. The 16 bit computer is used to generate the position commands. The maximum speed of the motor is 1800 rpm. The system is equipped with a leadscrew of 1 mm pitch. The maximum required feedrate is 1 m/min and the required BLU is 0.01 mm. a. What is the required gear ratio? b. What is the encoder gain? c. What is the maximum frequency of pulses emitted by the encoder? d. What is the maximum travel length this system can provide? Hint: Review Koren Chapter 1, if necessary. “Encoder gain” means the number of transmitted pulses per revolution of the encoder. 2. The maximum table speed of a CNC table is set at 100 mm/sec. Calculate the approximate cycle time of the following part program (unit in mm) assuming the maximum acceleration achievable is 40 mm/sec 2 . The tool is in the home position (0,0,0) before the cycle starts.

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