Example. Analysis - Synthesis Fixing the motion parameters the equation can be used for synthesis Example: Burmester problem Design Space.

Example

Example

Analysis - Synthesis

Fixing the motion parameters the equation can be used for synthesis

Example:

Burmester problem

Design Space

Analysis - Synthesis

Fixing the motion parameters the equation can be used for synthesis

Example: Burmester problem

Design Space

given five poses of a planar system, construct a fourbar mechanism whose endeffector passes through all five poses

BURMESTER L. (19th century)

Figures Example 1

Three equations give stratification of design space

Brunnthaler et.al. 2005

Branch defect

two precision points to design a four-bar linkage lie on separate circuits of a coupler curve

Waldron and Stevenson (1979) Gupta (1980)Prentis (1991)Schaefer and Kramer (1979)DaLio et al. (2000)

The parameters in the constraint equation yield three different cases!

Intersection of hyperboloids

One branch