TY - JOUR
T1 - Algebraic coupler curve of spherical four-bar linkages and its applications
AU - Bai, Shaoping
N1 - Publisher Copyright:
© 2020 Elsevier Ltd
PY - 2021/4
Y1 - 2021/4
N2 - The derivation of coupler curve equation of spherical four-bar linkages is studied in this paper. By utilizing parameterized coordinates, an algebraic coupler curve equation was formulated for the spherical four-bar linkages, which is in the form of trivariate quartic. The algebraic coupler curve allows us to study global properties and its instantaneous properties, and also facilitates path synthesis. In the paper, the derivation of algebraic coupler curve is presented, along with different expressions of the curve. Applications of the explicit algebraic coupler curve are demonstrated with examples.
AB - The derivation of coupler curve equation of spherical four-bar linkages is studied in this paper. By utilizing parameterized coordinates, an algebraic coupler curve equation was formulated for the spherical four-bar linkages, which is in the form of trivariate quartic. The algebraic coupler curve allows us to study global properties and its instantaneous properties, and also facilitates path synthesis. In the paper, the derivation of algebraic coupler curve is presented, along with different expressions of the curve. Applications of the explicit algebraic coupler curve are demonstrated with examples.
KW - Algebraic coupler curve
KW - Curvature of spatial curves
KW - Path synthesis
KW - Projective curve
KW - Spherical four-bar linkage
UR - http://www.scopus.com/inward/record.url?scp=85097886799&partnerID=8YFLogxK
U2 - 10.1016/j.mechmachtheory.2020.104218
DO - 10.1016/j.mechmachtheory.2020.104218
M3 - Journal article
AN - SCOPUS:85097886799
SN - 0094-114X
VL - 158
JO - Mechanism and Machine Theory
JF - Mechanism and Machine Theory
M1 - 104218
ER -