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Related Concept Videos

Bending and Torsional Moments01:20

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Bending and torsional moments are two fundamental concepts in structural engineering. They play an important role in understanding the behavior of materials and structures under different loading conditions.
The reaction developed in a structural element when subjected to an external force causes the element to bend. When a structural element bends upwards, it creates compressive normal forces on the top and tensile normal forces on the bottom, resulting in a couple that determines the bending...
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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 of...
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Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
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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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Torsion of Noncircular Members01:16

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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...
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Ultrahigh-Q Torsional Nanomechanics through Bayesian Optimization.

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  • 1Wyant College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, United States.

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Researchers optimized strained nanoribbons using Bayesian optimization to enhance torque sensing. This innovation significantly boosts the quality factor (Q) of nanomechanical resonators, enabling highly sensitive measurements for fundamental science and applied tasks.

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Area of Science:

  • Nanoscience and Nanotechnology
  • Mechanical Engineering
  • Quantum Physics

Background:

  • Strained nanomechanical resonators are limited by bending loss at clamps.
  • Dissipation dilution in torsion modes offers a path to enhanced sensing.

Purpose of the Study:

  • To design nanoribbons with optimal dissipation dilution for the fundamental torsion mode.
  • To overcome limitations in strained nanomechanical resonators for improved performance.

Main Methods:

  • Utilized Bayesian optimization for nanoribbon design.
  • Fabricated centimeter-scale silicon nitride (Si3N4) nanoribbons.
  • Characterized the Q factor and Q-frequency product at room temperature.

Main Results:

  • Achieved Q factors exceeding 100 million.
  • Realized Q-frequency products greater than 10^13 Hz.
  • Demonstrated thermal torque sensitivity of 10^-20 Nm/√Hz and angular displacement sensitivity of 10^-10 rad/√Hz.

Conclusions:

  • Optimized nanoribbons exhibit exceptional performance for weak force sensing.
  • The devices are simple to fabricate, possess high thermal conductivity, and tolerate mass loading.
  • These nanoribbons are attractive for diverse fundamental and applied sensing applications.