The synthesis of four-bar linkage coupler curves using derivatives of the radius of curvature

Procedures for the synthesis of four-bar kinematic linkages with approximate portions of their coupler point curves specified are developed. The necessary equations are derived and computer programs using these equations which have been integrated into a complete synthesis procedure are set forth. If a body, or a mechanism link, is in plane motion with two points on the body constrained to particular paths, the nature of the paths of all other points on the link is known. The functional behavior of the radius of curvature of the path of any point on the link and the derivatives of the radius of curvature with respect to some displacement parameter may be ascertained. It is then possible to approximate the motion of the link by approximating the behavior of the derivatives of the radius of curvature. A procedure allowing one degree of freedom in locating the coupler point, such that the zeroes of the first derivative of the radius of curvature are approximated, is presented for the case of an approximately straight coupler point path. Another procedure permitting two degrees of freedom in the coupler point specification is shown for both straight and circular coupler curves. In the case of the two degrees of freedom procedure, both the first and second derivatives of the radius of curvature are specified with respect to the loci of the zeroes of the derivatives. For each synthesis procedure, examples are presented. The computer program listings and sample outputs for each example are shown.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mechanical Engineering

Department dc:contributor.department

Mechanical Engineering

Grantor dc:publisher

Virginia Polytechnic Institute and State University

Year dc:date.issued

1975

Author dc:creator

• Mitchiner, Reginald Glennis

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en_US

Handle dc:identifier.uri

http://hdl.handle.net/10919/94532

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/94532