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Related Concept Videos

Circular Shaft - Stresses in Linear Range01:13

Circular Shaft - Stresses in Linear Range

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Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent deformation. So, the formula for shearing strain is revisited. This formula is multiplied by the modulus of rigidity, and then Hooke's Law for the shearing stress and strain is applied. As a result, the equation for shearing stress in a shaft can be derived.
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Transmission Shafts: Problem Solving01:09

Transmission Shafts: Problem Solving

543
Designing a solid shaft that transmits power from a motor to a machine tool involves a series of calculations to ensure the shaft can withstand the stresses applied by bending moments and torques. First, calculate the torque exerted on the gear, considering the power transmitted by the shaft and its rotational speed. Following this, compute the tangential forces acting on the gears, which directly relate to the torque and the gear radius.
Next, use bending moment diagrams for the shaft to...
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Adjusting a Traverse01:12

Adjusting a Traverse

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In the site survey of a four-sided traverse, internal angles are essential to ensure geometric accuracy. The survey revealed that the sum of the measured internal angles was 359 degrees and 48 minutes, which is 12 minutes less than the expected 360 degrees. This discrepancy signals an error likely arising from measurement inaccuracies during the fieldwork.To rectify this error, the adjustment process involved distributing the 12-minute shortfall equally across the four internal angles. By...
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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

804
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.
Here, in order to determine the magnitude of velocity and acceleration for point...
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Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

645
Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
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Stress Concentrations in Circular Shafts01:18

Stress Concentrations in Circular Shafts

605
Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's ends are loaded with rigid plates firmly attached. However, in many cases, torques are applied to the shaft through mechanisms like flange couplings or gears, which are connected by keys inserted into keyways. This application method modifies the stress distribution near the point of torque application, causing it to deviate from the distributions...
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Application of Design Aspects in Uniaxial Loading Machine Development
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Diagnostics for geometric performance of machine tool linear axes.

Gregory W Vogl1, M Alkan Donmez1, Andreas Archenti2

  • 1Engineering Laboratory, National Institute of Standards and Technology (NIST), 100 Bureau Drive, Gaithersburg, MD 20899-8220, USA.

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Detecting machine tool degradation is challenging. A new method uses inertial measurement unit (IMU) data to automatically identify axis errors, improving diagnostics and reducing production downtime.

Keywords:
DiagnosticsErrorMachine tool

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Area of Science:

  • Manufacturing Engineering
  • Metrology
  • Condition Monitoring

Background:

  • Machine tool degradation impacts precision and productivity.
  • Current methods for detecting linear axis degradation are manual and inefficient.
  • Automated diagnostics are crucial for modern manufacturing.

Purpose of the Study:

  • To develop an automated method for detecting machine tool linear axis degradation.
  • To utilize inertial measurement unit (IMU) data for identifying geometric errors.
  • To provide manufacturers with efficient condition monitoring solutions.

Main Methods:

  • An inertial measurement unit (IMU) was employed to collect data during machine tool operations.
  • The IMU data was analyzed to identify changes in translational and angular errors.
  • A dedicated linear axis testbed was used for method verification and validation.

Main Results:

  • The developed IMU-based method successfully identified geometric errors associated with axis degradation.
  • The system demonstrated capability in measuring translational and angular errors.
  • Validation on a testbed confirmed the method's effectiveness with acceptable uncertainty.

Conclusions:

  • An automated IMU-based approach offers an efficient solution for diagnosing machine tool linear axis degradation.
  • This method enables proactive maintenance, minimizing production disruptions.
  • The findings support the integration of IMUs for real-time condition monitoring in manufacturing environments.