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Related Concept Videos

Fatigue01:21

Fatigue

782
Fatigue occurs when materials rupture under repeated or fluctuating loads, even at stress levels far below their static breaking strength. It typically results in brittle failure, even for ductile materials. It is a critical consideration in designing machines and structural components subjected to repetitive or varying loads. The nature of these loadings can range from fluctuating loads like unbalanced pump impellers causing vibrations to repeatedly bending a thin steel rod wire back and forth...
782
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

730
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. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...
730
Stress Concentrations in Circular Shafts01:18

Stress Concentrations in Circular Shafts

516
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...
516
Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

816
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...
816
Mohr's Circle for Plane Strain01:18

Mohr's Circle for Plane Strain

1.1K
Mohr's circle is a crucial graphical method used to analyze plane strain by plotting strain on a set of cartesian coordinates, where the abscissa is normal strain ∈ and the ordinate is shear strain γ. Similarly to Mohr’s circle for plane stress, two points X and Y are plotted. Their coordinates are (∈x, -γXY) and (∈Y, γXY), respectively.
Mohr's circle visually represents the strain states under various conditions, which is essential for...
1.1K
Residual Stresses in Circular Shafts01:10

Residual Stresses in Circular Shafts

497
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...
497

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Related Experiment Video

Updated: Jan 10, 2026

Full-field Strain Measurements for Microstructurally Small Fatigue Crack Propagation Using Digital Image Correlation Method
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An acceleration-only modal circle-fitting method for in-situ fatigue damage detection.

Da Som Kang1, Seung-Hoon Bae2, Seunghun Baek3

  • 1Aero Business Group, Hanwha Aerospace, Seongnam, 13488, South Korea.

Scientific Reports
|November 29, 2025
PubMed
Summary
This summary is machine-generated.

A new modal circle-fitting technique estimates natural frequency and damping ratio from vibration data. This method detects early fatigue damage in aerospace brackets, indicated by frequency shifts and split-peak patterns.

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Area of Science:

  • Structural Dynamics
  • Mechanical Engineering
  • Aerospace Engineering

Background:

  • Modal analysis is crucial for understanding structural behavior.
  • Detecting early-stage fatigue damage is vital for structural integrity and safety.
  • Output-only modal identification methods are desirable for non-destructive testing.

Purpose of the Study:

  • To introduce a novel modal circle-fitting method for modal parameter estimation.
  • To validate the method's effectiveness in detecting fatigue damage.
  • To establish key indicators for identifying non-visible fatigue in aerospace structures.

Main Methods:

  • Development of a modal circle-fitting algorithm for natural frequency and damping ratio estimation.
  • Utilizing output-only acceleration measurements.
  • Experimental validation using vibration-fatigue testing on an aerospace bracket specimen.

Main Results:

  • Successful estimation of natural frequency and damping ratio from acceleration data.
  • Detection of initial, non-visible fatigue damage.
  • Observed decrease in natural frequency under random vibration excitation.
  • Emergence of a 'split-peak' pattern in frequency response functions under sinusoidal excitation.

Conclusions:

  • The proposed modal circle-fitting method is effective for output-only modal identification.
  • The method can reliably detect early fatigue damage in aerospace components.
  • Specific vibration signatures (frequency decrease, split-peak) serve as indicators for fatigue damage.