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Related Concept Videos

Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

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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...
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San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in...
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Athermal panoramic annular lens design with a thermal analysis method.

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    This study presents an athermal panoramic annular lens (PAL) system designed for stable imaging across extreme temperatures (-40°C to 60°C). The system ensures high-quality imaging, crucial for outdoor applications like vehicle navigation and surveillance.

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    Area of Science:

    • Optical Engineering
    • Thermal Analysis
    • Imaging Systems

    Background:

    • Panoramic annular lens (PAL) systems are vital for wide-field imaging.
    • Extreme temperature fluctuations can degrade optical system performance.
    • Athermal optical designs are needed for reliable operation in varying environmental conditions.

    Purpose of the Study:

    • To design and analyze an athermal 360° panoramic annular lens (PAL) system.
    • To evaluate the system's thermal optical performance and stability.
    • To demonstrate the significance of the design workflow for future athermal optical systems.

    Main Methods:

    • Optical mechanical thermal analysis using finite element analysis (FEA).
    • Simulation of system performance across a temperature range of -40°C to 60°C.
    • Evaluation of modulation transfer function (MTF) at 133 lp/mm.

    Main Results:

    • The designed PAL system exhibits thermal insensitivity within the specified temperature range.
    • Consistent imaging capability is maintained, with MTF values exceeding 0.3 at 133 lp/mm.
    • The FEA-based analysis provides accurate thermal optical performance evaluation.

    Conclusions:

    • The athermal PAL system demonstrates excellent performance under extreme temperature fluctuations.
    • The proposed design and analysis workflow offers high accuracy for thermal optical design.
    • The system has broad application prospects in outdoor environments, including autonomous navigation and all-weather surveillance.