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Related Concept Videos

Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

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Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
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Absolute Motion Analysis- General Plane Motion01:24

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Visualize a drone, with its propellers spinning rapidly, hovering mid-air. The fascinating movements and operations of this drone can be comprehended by applying the principle of general plane motion.
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Deformation in a Circular Shaft01:10

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One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
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Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

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In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
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When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
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Related Experiment Video

Updated: Aug 29, 2025

In Vivo Quantification of Hip Arthrokinematics during Dynamic Weight-bearing Activities using Dual Fluoroscopy
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Reverse identification of dynamic and static motion errors for five-axis machine based on specimen feature

Hainan Zhang1, Sitong Xiang1, Chao Liu1

  • 1Faculty of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, China.

ISA Transactions
|September 4, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a novel method for identifying and compensating errors in five-axis machine tools. The approach enhances machining accuracy by precisely measuring and correcting both static and dynamic motion errors.

Keywords:
Feature decompositionMachine toolMotion errorReverse identificationSpecimen design

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Area of Science:

  • Manufacturing Engineering
  • Metrology
  • Mechanical Systems

Background:

  • Accuracy of five-axis machine tools is crucial for precision manufacturing.
  • Dynamic and static error motions significantly degrade workpiece accuracy.

Purpose of the Study:

  • To develop a novel reverse identification approach for dynamic and static motion errors in five-axis machine tools.
  • To improve the accuracy of five-axis machine tools through error compensation.

Main Methods:

  • Feature decomposition and specimen cutting for error mapping.
  • On-machine measurement and Coordinate Measuring Machine (CMM) for error identification.
  • Volumetric error modeling for error compensation.

Main Results:

  • Successfully identified and separated 15 static motion errors and dynamics-induced errors.
  • Verified error estimates using interferometry, autocollimation, and ballbar tests.
  • Significantly increased specimen accuracy after volumetric error compensation.

Conclusions:

  • The proposed reverse identification method is feasible and accurate for five-axis machine tools.
  • The approach effectively enhances machining accuracy through comprehensive error compensation.
  • This technique offers a reliable solution for improving precision in complex machining operations.