Non-integer-period motion generation of a planar four-bar mechanism using wavelet series

Abstract

In this paper, on the basis of the theory of the Haar wavelet series, the early proposed method, which is used to solve the problem of planar four-bar path synthesis, is extended to motion generation synthesis of a planar four-bar mechanism. By analysing the wavelet coefficients between the rigid-body rotation angle and the connecting rod rotation angle of its corresponding basic dimensional type, the internal relationships are determined. Based on this finding, an output feature parameters database of planar four-bar motion generation including 101,408 sets of the basic dimensional type was established. Using the fuzzy identification method and theoretical formulas to compute the actual size and installing positions parameters of a planar four-bar mechanism, the synthesis of a planar four-bar motion generation mechanism can be achieved using the established numerical atlas, fuzzy identification method and theoretical formulas.