|
CSME 2025/12
Volume 46 No.6
:
619-631
|
|
Path Synthesis of Spherical Four-Bar Linkages Using Spatial Elliptical Fourier Descriptors
Yuan Chang a, Jia-Ling Chang a and Jyh-Jone Lee b
aGraduate Student, Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 106.
bProfessor, Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 106. Email:jjlee@ntu.edu.tw
|
Abstract:
Numerous researchers have employed various shape descriptors in the dimensional synthesis of mechanisms. This study introduces a methodology for the path synthesis of spherical four-bar linkages utilizing Elliptical Fourier Descriptors (EFDs). EFDs, a Fourier-based shape representation method, allow the independent acquisition of Fourier coefficients through the Fourier expansion of individual components of the 3D coupler curve, rather than relying on a function as in traditional Fourier analysis. This approach eliminates the need to project the curve onto any plane for Fourier analysis, while preserving invariance characteristics under similarity transformations. Additionally, a method for establishing the shape signature for the open curve is developed. By integrating this process with traditional EFD and optimization algorithm, the proposed method becomes essentially applicable for synthesizing spatial four-bar linkages for both open and closed curves in a single-step design process. Finally, the effectiveness of the proposed method is demonstrated through several examples of spherical four-bar linkages.
|
|
Keywords: Spherical four-bar linkages, Path synthesis, Elliptical Fourier descriptor, Open curve
|
Download PDF
|
©
2025
CSME , ISSN 0257-9731
|