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Related Concept Videos

Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

438
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.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal...
438
Unsymmetric Bending01:18

Unsymmetric Bending

435
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
435
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

370
The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and...
370
Bending of Curved Members - Neutral Surface01:16

Bending of Curved Members - Neutral Surface

237
In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within...
237
Bending01:10

Bending

430
Pure bending is a fundamental concept in structural mechanics, essential for understanding how materials deform under symmetrical loads without direct forces. Pure bending occurs when prismatic members, such as beams, are subjected to equal and opposite moments that induce bending. The phenomenon is crucial as it allows for predicting stress distributions without the influence of axial or shear forces.
In pure bending, the bending stress in a beam is calculated based on the bending moment and...
430
Bending of Curved Members - Strain Analysis01:14

Bending of Curved Members - Strain Analysis

209
The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member, symmetric about the y-axis and shaped like a segment of a circle centered at point C, is subjected to equal and opposite forces, its curvature and surface lengths change significantly. This alteration results in the shift of the curvature's center from C to C', indicating a tighter curve.
The important part of bending analysis for such a member...
209

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Related Experiment Video

Updated: Sep 11, 2025

Fabrication of Nanoheight Channels Incorporating Surface Acoustic Wave Actuation via Lithium Niobate for Acoustic Nanofluidics
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High performance B-spline multimode waveguide bends in lithium niobate on insulator.

Binhang Xu, Tianheng Zhang, Min Liu

    Optics Express
    |August 13, 2025
    PubMed
    Summary

    This study introduces B-spline curves for optimizing multimode waveguide bends in lithium niobate on insulator (LNOI) photonic circuits. The novel approach significantly reduces insertion loss and mode crosstalk, enhancing integrated photonics performance.

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    Area of Science:

    • Integrated Photonics
    • Materials Science
    • Waveguide Optics

    Background:

    • Lithium niobate on insulator (LNOI) is a key material for integrated photonics.
    • Traditional LNOI waveguide bends suffer from high losses and mode mismatch.
    • Developing efficient multimode waveguides is crucial for advanced photonic circuits.

    Purpose of the Study:

    • To introduce and evaluate B-spline curves for optimizing multimode waveguide bends in LNOI.
    • To address challenges of insertion loss (IL) and mode crosstalk (CT) in LNOI waveguide designs.
    • To enable high-performance multimode waveguides for LNOI photonic integrated circuits.

    Main Methods:

    • Utilizing B-spline curves for flexible and precise control of waveguide bend curvature.
    • Simultaneous optimization of insertion loss and mode crosstalk.
    • Experimental validation of 90° B-spline-based waveguide bends on LNOI.

    Main Results:

    • Achieved ultra-low insertion losses: 0.05 dB (TE0), 0.10 dB (TE1), and 0.29 dB (TE2).
    • Demonstrated mode crosstalk below -16.71 dB across all modes for cascaded bends.
    • B-spline curves provide superior design flexibility and smooth transitions.

    Conclusions:

    • B-spline-based designs offer a promising solution for high-performance multimode waveguides in LNOI.
    • This approach effectively mitigates key challenges in LNOI photonic integrated circuits.
    • The findings pave the way for advanced LNOI-based photonic devices.