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Beams with Unsymmetric Loadings01:17

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Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
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Properties of the z-Transform I01:17

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The z-transform is a fundamental tool in digital signal processing, enabling the analysis of discrete-time systems through its various properties. It is an invaluable tool for analyzing discrete-time systems, offering a range of properties that simplify complex signal manipulations. One fundamental property is linearity. For any two discrete-time signals, the z-transform of their linear combination equals the same linear combination of their individual z-transforms. This property is essential...
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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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Related Experiment Video

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Theoretical analysis and applications in inverse T-shape structure.

Boxun Li, Hongjian Li, Lili Zeng

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |May 4, 2016
    PubMed
    Summary

    Researchers developed an inverse T-shape plasmonic structure for optical devices. This compact design offers high sensitivity and a figure of merit (FOM) for advanced filters and nanosensors.

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    Area of Science:

    • Photonics and Nanotechnology
    • Optical Engineering

    Background:

    • Plasmonic structures are crucial for miniaturized optical devices.
    • Achieving high sensitivity and figure of merit (FOM) in plasmonic devices remains a challenge.

    Purpose of the Study:

    • To investigate an inverse T-shape plasmonic structure for optical applications.
    • To analyze the tunability of its transmission features and optimize its performance.

    Main Methods:

    • Numerical and theoretical investigations of the inverse T-shape waveguide structure.
    • Analysis of transmission features by adjusting structural parameters like cavity displacement and length.

    Main Results:

    • The transparency window position is tunable via lateral cavity displacement.
    • Cavity length significantly impacts optical response.
    • Achieved high sensitivity (1750 nm/RIU) and FOM (77.1 RIU⁻¹).

    Conclusions:

    • The inverse T-shape structure enables mode separation and offers superior performance.
    • This plasmonic configuration is suitable for compact filters and high-sensitivity nanosensors in integrated optical devices.