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Related Concept Videos

Angle of Twist - Elastic Range01:13

Angle of Twist - Elastic Range

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Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
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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 torque...
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Total internal reflection fluorescence microscopy or TIRF is an advanced microscopic technique used to visualize fluorophores in samples close to a solid surface with a higher refractive index, such as a glass coverslip. TIRF only allows fluorophores in proximity to the solid surface to be excited. When light from a medium with a lower refractive index (such as air) hits the glass coverslip at a critical angle, the light undergoes total internal reflection stead of passing through the glass.
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Related Experiment Video

Updated: Jan 11, 2026

The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements
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Simultaneous shape reconstruction and twist measurement based on optical frequency domain reflectometry.

Huafang Wang, Haohan Guo, Huipeng Gao

    Optics Express
    |November 11, 2025
    PubMed
    Summary

    This study introduces a new fiber optic shape sensing method using optical frequency domain reflectometry (OFDR) to accurately measure both shape and twist in complex fiber optic cables. This advancement is crucial for precise robotic manipulation and medical surgery applications.

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    Area of Science:

    • Optics
    • Materials Science
    • Robotics

    Background:

    • Fiber optic shape sensing (FOSS) is vital for applications like medical surgery and robotic manipulation.
    • Accurate measurement of both shape and twist in FOSS is challenging but essential for advanced functionalities.

    Purpose of the Study:

    • To develop a method for simultaneous shape reconstruction and twist measurement in FOSS.
    • To decouple bending and twist strains for improved accuracy in complex fiber shapes.

    Main Methods:

    • Utilized optical frequency domain reflectometry (OFDR) for simultaneous shape and twist measurement.
    • Employed spun multiple single-core fibers (MFS) to separate bending and twist strains.
    • Applied separated strain components for curvature estimation and twist angle measurement.

    Main Results:

    • Achieved accurate measurement of twist angles in 2D and 3D complex fiber shapes.
    • Demonstrated improved orientation measurement accuracy in complex shape reconstruction.
    • Reported a mean absolute error (MAE) of 3.787° for twist measurement and 0.896% MRE for Euclidean distance in shape reconstruction.

    Conclusions:

    • The proposed OFDR-based method successfully enables simultaneous shape reconstruction and twist measurement.
    • This technique enhances positioning accuracy for applications requiring angular variation, such as medical and surgical robotics.