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Dimensional Synthesis of the Compliant Mechanism Using the Parametric Fuzzy Form of the Freudenstein Equation

Author

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  • Ahmed Alhindi

    (Department of Mechanical Engineering & Mechanics, Lehigh University, Bethlehem, PA 18015, USA
    Department of Mechanical Engineering, Qassim University, Buraydah 52571, Saudi Arabia)

  • Meng-Sang Chew

    (Department of Mechanical Engineering & Mechanics, Lehigh University, Bethlehem, PA 18015, USA)

Abstract

The dimensional synthesis of compliant mechanisms (CMs) leverages the flexibility of their components to achieve precise motion and functionality. This study introduces a novel approach using the parametric fuzzy form of the Freudenstein equation with triangular fuzzy numbers (TFNs) to address the complexities and uncertainties inherent in CM design. By integrating fuzzy logic with advanced computational techniques such as Newton’s method, the proposed methodology offers a robust framework for synthesizing CMs that can adapt to varying conditions. This approach enables the creation of flexible links modeled as fuzzy regions, allowing for optimized performance and reliability across a range of operational scenarios. Numerical examples illustrate the practical application and efficacy of the proposed methods, highlighting significant improvements in the design and synthesis of CMs. The integration of fuzzy logic in the synthesis process not only enhances the resilience of the mechanisms but also paves the way for future advancements in the field. This study demonstrates the potential of fuzzy logic principles in optimizing CM designs, ensuring they meet specific functional requirements with high precision.

Suggested Citation

  • Ahmed Alhindi & Meng-Sang Chew, 2024. "Dimensional Synthesis of the Compliant Mechanism Using the Parametric Fuzzy Form of the Freudenstein Equation," Mathematics, MDPI, vol. 12(20), pages 1-27, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:20:p:3170-:d:1495858
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    References listed on IDEAS

    as
    1. Xilong Liu & Yizeng Chen, 2013. "A Systematic Approach to Optimizing Value for Fuzzy Linear Regression with Symmetric Triangular Fuzzy Numbers," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, December.
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