Path synthesis of planar four-bar linkages for closed and open curves using elliptical Fourier descriptors
Journal
Journal of Mechanical Science and Technology
Journal Volume
38
Journal Issue
5
Start Page
2579
End Page
2590
ISSN
1738-494X
1976-3824
Date Issued
2024-05
Author(s)
DOI
10.1007/s12206-024-0436-y
Abstract
Many researchers have widely applied shape descriptors to perform dimensional synthesis of mechanisms. This work investigates the path synthesis of planar four-bar linkages for closed and open curves using elliptical Fourier descriptors (EFDs). EFD is also a Fourier-based analysis method. Its Fourier coefficients of a coupler curve are obtained through separate Fourier expansion of the x and y components of the coupler curve rather than on a function. Elliptical Fourier descriptors are effective at describing complex curves with high curvature. A process has been developed for approximating non-periodic paths using EFD. By combining the process with the traditional EFD, a general method is established for the synthesis of four-bar linkages for open and closed curves in a single-step optimization process. The proposed approach offers an effective and efficient procedure in the path synthesis of four-bar linkages, providing a foundation for future research in the broader application of EFD in the dimensional synthesis of linkages.
Subjects
Differential evolution
Elliptical Fourier descriptor
Four-bar linkages
Path synthesis
Publisher
Springer Science and Business Media LLC
Type
journal article