A complex number approach to generating the cubic of stationary curvature (CSC) has been developed. The approach provides a closed form solution for generating points on the curve. The new approach eliminates the need for considering the Euler-Savary equation and centrode curvature as intermediate steps for obtaining points on the curve. Furthermore, the method guarantees that the points will be generated in their natural sequence and it simultaneously produces points on the centerpoint and circlepoint curves. The method can be applied to analyze an existing linkage or to synthesize a linkage to produce a coupler curve with specified stationary curvature at one position. Two analysis and one synthesis examples are provided.
|Original language||English (US)|
|Title of host publication||21st Design Automation Conference|
|Publisher||American Society of Mechanical Engineers (ASME)|
|Number of pages||8|
|State||Published - 1995|
|Event||ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium - Boston, United States|
Duration: Sep 17 1995 → Sep 20 1995
|Name||Proceedings of the ASME Design Engineering Technical Conference|
|Conference||ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium|
|Period||9/17/95 → 9/20/95|
Bibliographical notePublisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.