TY - JOUR

T1 - Synthesis of spherical four-bar path generator satisfying the prescribed tangents at two cusps

AU - Chang, C. F.

AU - Lu, D. M.

AU - Hwang, W. M.

PY - 1997

Y1 - 1997

N2 - Design equations for spherical four-bar linkages to trace a coupler curve with two prescribed cusps are derived in this study by using a special case of spherical Burmester curves. For the case in which the tangents at two cusps are also prescribed, an analytical method is proposed with the aid of the foregoing design equations associated with the concept of the spherical cross ratio and spherical Bobillier theorem. The proposed method is straightforward and quite useful for those cases in which the tangents at two cusps are neither on the same plane nor on parallel planes. Numerical examples are also provided for illustrating the entire technique.

AB - Design equations for spherical four-bar linkages to trace a coupler curve with two prescribed cusps are derived in this study by using a special case of spherical Burmester curves. For the case in which the tangents at two cusps are also prescribed, an analytical method is proposed with the aid of the foregoing design equations associated with the concept of the spherical cross ratio and spherical Bobillier theorem. The proposed method is straightforward and quite useful for those cases in which the tangents at two cusps are neither on the same plane nor on parallel planes. Numerical examples are also provided for illustrating the entire technique.

UR - http://www.scopus.com/inward/record.url?scp=0030711291&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030711291&partnerID=8YFLogxK

U2 - 10.1243/0954406971521782

DO - 10.1243/0954406971521782

M3 - Article

AN - SCOPUS:0030711291

SN - 0954-4062

VL - 211

SP - 211

EP - 216

JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

IS - 3

ER -