Numerical atlas method for path generation of spherical four-bar mechanism

• Published in: Mechanism and machine theory Vol. 45; no. 6; pp. 867 - 879
• Main Authors: Chu, Jinkui, Sun, Jianwei
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-06-2010
• Subjects: Dimension synthesis; Feasibility; Fourier series; Harmonic component; Harmonics; Joining; Mathematical analysis; Mathematical models; Numerical atlas; Path generator; Spherical four-bar mechanism; Synthesis; Harmonic component; Numerical atlas; Spherical four-bar mechanism; Path generator; Fourier series; Dimension synthesis
• ISSN: 0094-114X; 1873-3999
• DOI: 10.1016/j.mechmachtheory.2009.12.005

In this paper, the relationship between the harmonic component of the coupler curves and the harmonic component of the rotation-angle function is discovered. Based on this finding, a numerical atlas database comprising of more than 6 million of basic dimensional types is built up. The formulas which can compute the position for coupler point, real size and installing dimensions of the spherical four-bar mechanism are deduced. Based on those theoretical formulas and the numerical atlas database of the harmonic characteristic parameters, the problem of path synthesis of spherical four-bar mechanism is solved. Finally, an example is given to show the feasibility of this approach.