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Related Concept Videos

Angle of Twist - Elastic Range01:13

Angle of Twist - Elastic Range

392
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...
392
Torsion of Noncircular Members01:16

Torsion of Noncircular Members

216
Circular shafts undergoing torsional stress maintain their cross-sectional integrity due to their axisymmetric nature. This symmetry ensures an even distribution of stress, allowing the shaft to withstand torsion without distorting. In contrast, square bars, lacking this axial symmetry, experience significant distortion across their cross-sections when subjected to torsion, with the exception of along their diagonals and at lines connecting midpoints. A detailed examination of a cubic element...
216
Unsymmetric Loading of Thin-Walled Members01:23

Unsymmetric Loading of Thin-Walled Members

147
Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
The concept of the shear center is crucial in countering the...
147
Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

392
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...
392
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

385
Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is...
385
Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

238
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution...
238

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Updated: Sep 11, 2025

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Twisted array structured light source and its influence by turbulence effects.

Shaohua Zhang, Zhenglan Zhou, Meng Zhang

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    Summary
    This summary is machine-generated.

    This study introduces a novel light beam design that self-splits and stabilizes in turbulent environments. This method enhances light field propagation quality and stability, crucial for overcoming atmospheric turbulence effects.

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    Area of Science:

    • Optics and Photonics
    • Quantum Optics
    • Beam Propagation

    Background:

    • Atmospheric turbulence degrades light beam quality.
    • Controlling light field structures is essential for stable propagation.
    • Twisted Gaussian Schell-model beams offer unique properties.

    Purpose of the Study:

    • To design a light beam that self-splits and self-stabilizes in unstable environments.
    • To investigate the effect of array phases on beam properties and coherence.
    • To mitigate beam quality degradation caused by atmospheric turbulence.

    Main Methods:

    • Construction of an array of superposed twisted Gaussian Schell-model beams with array phases.
    • Analysis of spectral density distribution and coherence evolution.
    • Far-field propagation analysis of beam splitting and stability.

    Main Results:

    • The designed beam exhibits self-splitting and self-stabilization properties.
    • Array phases significantly alter spectral density and coherence evolution.
    • Normalized orbital angular momentum flux density reflects stable field distribution during propagation.

    Conclusions:

    • The proposed light beam design effectively mitigates turbulence-induced beam spreading and quality degradation.
    • This offers a theoretical foundation for high-stability, high-quality light field propagation in complex environments.
    • The study highlights the importance of tailored light field structures for robust optical applications.