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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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IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

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Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single...
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In materials that exhibit elastic and plastic behavior, known as elastoplastic materials, residual stresses can accumulate when these materials experience plastic deformation. This deformation arises from either high levels of shearing stress or significant strains. Residual stresses are internal stresses that persist within a material after removing the external force causing deformation. This phenomenon is demonstrated when observing the behavior of a shaft under torque; notably, the...
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Angle of Twist: Problem Solving01:13

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An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the...
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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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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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Updated: Jun 3, 2025

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Blade Vibration Difference-Based Circumferential Fourier Fitting Algorithm for Synchronous Vibration Parameter

Zhenfang Fan1, Hongkun Li2, Jinying Huang1

  • 1School of Mechanical Engineering, North University of China, Taiyuan 030051, China.

Sensors (Basel, Switzerland)
|January 8, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a new blade vibration difference-based circumferential Fourier fitting (BVD-CFF) algorithm. The BVD-CFF method enhances the accuracy of blade tip timing (BTT) techniques for rotating machinery.

Keywords:
blade tip timingblade vibration differencecircumferential Fourier fittingsynchronous vibration parameter identification

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Area of Science:

  • Mechanical Engineering
  • Vibrational Analysis
  • Rotating Machinery

Background:

  • Blade vibration is critical for the efficiency and safety of rotating machinery.
  • Blade tip timing (BTT) is a key technique for monitoring blade vibration.
  • Existing BTT methods suffer inaccuracies due to non-stationary factors in real-world applications.

Purpose of the Study:

  • To develop a high-precision BTT technique for blade vibration monitoring.
  • To address the inaccuracies in traditional BTT methods.
  • To propose an optimized algorithm for blade synchronous vibration parameter identification.

Main Methods:

  • Optimization of the traditional circumferential Fourier fitting (CFF) algorithm.
  • Acquisition of four sets of BTT signals using two probes based on blade departure time.
  • Establishment of six sets of blade vibration differences.
  • Proposal of a blade vibration difference-based circumferential Fourier fitting (BVD-CFF) algorithm.

Main Results:

  • The BVD-CFF algorithm demonstrates superior anti-noise performance in simulations.
  • Experimental validation on high-speed rotation and large-scale centrifugal compressor test rigs.
  • Identified engine orders of blade synchronous vibrations closely match strain gauge method results.

Conclusions:

  • The BVD-CFF algorithm offers a robust and accurate solution for blade vibration monitoring.
  • This method improves the precision of BTT techniques in practical engineering scenarios.
  • The findings support the application of the BVD-CFF algorithm in assessing the health of rotating machinery.