Synthesis of Double-Rocker Mechanisms for Motion Generation Using Fourier Descriptor

  • Cheng-Yuan Hsieh
  • Win-Bin Shieh
  • Ching-Kong Chen
  • Jyh-Jone LeeEmail author
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)


Dimensional synthesis of a double-rocker linkage using the discrete Fourier transform (DFT) is presented. The coupler point curve of a double-rocker linkage is open and cannot be expressed by the Fourier series with periodic coefficients. Hence, in this study, a procedure is first proposed to transform such an open curve into a closed curve such that the DFT can be applied. Subsequently, the relations between the path of a coupler point and the design parameters of linkage are established and the motion generation problem is formulated as two prescribed paths having a constant distance. Finally, a least-square based optimization scheme is used to synthesize the design parameters and two numerical examples are illustrated for the procedure.


Fourier Descriptor Discrete Fourier Transform Motion Generation Double-Rocker Mechanisms 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Cheng-Yuan Hsieh
    • 1
  • Win-Bin Shieh
    • 2
  • Ching-Kong Chen
    • 3
  • Jyh-Jone Lee
    • 1
    Email author
  1. 1.National Taiwan UniversityTaipeiTaiwan
  2. 2.Ming Chi University of TechnologyNew TaipeiTaiwan
  3. 3.National Taipei University of TechnologyTaipeiTaiwan

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