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Approximating Non-intersecting Closed Curves Through Four-Bar Linkage Mechanism

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Book cover Modeling, Simulation and Optimization

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 206))

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Abstract

Many practical applications require to approximate curves, which can be done precisely through mathematical modeling or computer simulation. But manufacturing difficulty may arise if such curves become very complex. Moreover, exact methods are limited to approximate only a certain number of target points. Hence, the present work aims at approximating a non-intersecting closed curve by a coupler point of a four-bar mechanism. A simple numerical method is proposed for synthesizing the mechanism. Also, an interpolation-based technique is proposed for comparing two curves of unequal points. The mechanism is synthesized in a way to minimize the deviation of the coupler curve from the target curve. For minimizing the deviation, three evolutionary algorithms are investigated and their performances are compared statistically.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Tezpur University, Tezpur, 784028, India

    Dilip Datta, Chiranjeeb Deb, Abhishek Hafila & Debajani Das

  2. Department of Design, Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur, 482005, India

    Chiranjeeb Deb

  3. MBA, Indian Institute of Management (IIM) Shillong, Shillong, 793014, India

    Abhishek Hafila

Authors
  1. Dilip Datta
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  2. Chiranjeeb Deb
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  3. Abhishek Hafila
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  4. Debajani Das
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Corresponding author

Correspondence to Dilip Datta .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology, Silchar, Assam, India

    Biplab Das

  2. Department of Computer Science and Engineering, National Institute of Technology Silchar, Silchar, Assam, India

    Ripon Patgiri

  3. National Institute of Technology Silchar, Silchar, India

    Sivaji Bandyopadhyay

  4. Aurel Vlaicu University of Arad, Arad, Romania

    Valentina Emilia Balas

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Datta, D., Deb, C., Hafila, A., Das, D. (2021). Approximating Non-intersecting Closed Curves Through Four-Bar Linkage Mechanism. In: Das, B., Patgiri, R., Bandyopadhyay, S., Balas, V.E. (eds) Modeling, Simulation and Optimization. Smart Innovation, Systems and Technologies, vol 206. Springer, Singapore. https://doi.org/10.1007/978-981-15-9829-6_9

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