Atlas-Based Path Synthesis of Planar Four-Bar Linkages Using Elliptical Fourier Descriptors
Journal
Mechanisms and Machine Science
Journal Volume
149
ISBN
9783031457081
Date Issued
2024-01-01
Author(s)
Abstract
The dimensional synthesis of mechanisms using shape descriptors has been widely applied by many researchers. This work investigates the path synthesis of planar four-bar linkages using elliptical Fourier descriptors (EFDs). EFD is also a Fourier-based analysis method. Its Fourier coefficients of a coupler curve are separately obtained through Fourier expansion of the x and y components of the coupler curve rather than on a function. Compared to conventional Fourier descriptors, elliptical Fourier descriptors are better able to describe complex curves such as curves with cusp. A numerical atlas can be set up using Fourier coefficients derived from elliptical Fourier analysis. The optimization method can subsequently be applied to match the curve with the required one.
Subjects
Atlas | Elliptical Fourier descriptor | Four-bar linkages | Path synthesis
Type
conference paper