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Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
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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 torque...
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A Soft Tooling Process Chain for Injection Molding of a 3D Component with Micro Pillars
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Optimization technique for rolled edge control process based on the acentric tool influence functions.

Hang Du, Ci Song, Shengyi Li

    Applied Optics
    |October 20, 2017
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    Summary
    This summary is machine-generated.

    A new acentric tool influence function (A-TIF) effectively suppresses the rolled edge phenomenon in computer-controlled optical surfacing (CCOS). This method improves machining accuracy by addressing limitations in traditional CCOS polishing processes.

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    Area of Science:

    • Optical Engineering
    • Materials Science
    • Manufacturing Processes

    Background:

    • Computer-controlled optical surfacing (CCOS) faces challenges with uncontrollable rolled edges, limiting machining accuracy and efficiency.
    • The rolled edge is caused by orbital movement preventing edge processing and difficulties in compensating for pressure distribution changes at the surface edge.
    • Traditional CCOS algorithms struggle to adjust the tool influence function (TIF) to address edge-specific pressure variations.

    Purpose of the Study:

    • To design and validate an acentric tool influence function (A-TIF) for mitigating the rolled edge effect in CCOS.
    • To theoretically analyze the A-TIF model and confirm its capability to cover the full workpiece aperture.
    • To experimentally demonstrate the effectiveness of the A-TIF method in suppressing residual errors caused by the rolled edge.

    Main Methods:

    • Theoretical analysis of the acentric tool influence function (A-TIF) model.
    • Implementation of a control point translation dwell time algorithm to verify full aperture coverage.
    • Experimental polishing of fused silica glass samples using traditional CCOS and the A-TIF method.

    Main Results:

    • The A-TIF model was theoretically analyzed, confirming its potential for full aperture coverage.
    • Experimental results showed a clear rolled edge on samples polished with traditional CCOS.
    • Samples polished using the A-TIF method exhibited no rolled edge or significant residual errors at the edges.

    Conclusions:

    • The designed A-TIF effectively suppresses the rolled edge phenomenon common in CCOS.
    • The A-TIF method enhances machining accuracy by resolving limitations of traditional CCOS processes.
    • The study confirms the practical applicability and success of the A-TIF approach in optical surfacing.