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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy
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A standing wave ultrasonic stepping motor using open-loop control system.

Xiaoxiao Dong1, Minqiang Hu1, Long Jin1

  • 1School of Electrical Engineering, Southeast University, Nanjing, Jiangsu 210096, China.

Ultrasonics
|October 2, 2017
PubMed
Summary
This summary is machine-generated.

We developed a novel ultrasonic stepping motor using standing waves for precise positioning. This motor eliminates cumulative errors in open-loop systems, offering superior performance with a stall torque of 0.055Nm.

Keywords:
Open-loopRadial modeSteppingUltrasonic motor

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Area of Science:

  • Mechanical Engineering
  • Robotics
  • Acoustic Devices

Background:

  • Traditional open-loop control systems suffer from cumulative displacement errors.
  • Precise positioning is critical in micro-robotics and automated systems.
  • Ultrasonic motors offer potential for high-resolution motion control.

Purpose of the Study:

  • To propose and characterize a novel standing wave ultrasonic stepping motor.
  • To demonstrate a positioning mechanism that eliminates cumulative errors.
  • To evaluate the motor's performance, including stall torque and operating voltage.

Main Methods:

  • Design of an ultrasonic stepping motor utilizing blades and grooves for positioning.
  • Implementation of a driving method involving sequential square wave voltage and high-voltage pulses.
  • Experimental characterization of a 30mm diameter, 10mm height prototype.
  • Evaluation of stall torque, operating voltage, and resonance frequency.

Main Results:

  • The prototype demonstrated superior positioning accuracy by eliminating cumulative displacement errors in an open-loop system.
  • A stall torque of 0.055Nm was achieved.
  • The motor operated effectively at a resonance frequency of 74kHz with a low operating voltage of 100Vpp.
  • Metal-to-metal friction drive contributed to the motor's performance.

Conclusions:

  • The proposed standing wave ultrasonic stepping motor offers a viable solution for precise open-loop positioning.
  • The integrated positioning mechanism significantly enhances accuracy compared to existing technologies.
  • The motor exhibits competitive performance metrics, including stall torque and efficiency at a low operating voltage.