A generalized parameterization of T1 motion and its application to the synthesis of planar mechanisms

On the advantages of instantaneous invariants and geometric kinematics

“…However, since dθ/dt = 0 in such position, we need to change the motion parameter. Such positions have been called T-positions and studied by Veldkamp [2] and others [5,17]. This is a subject with a lot of elegance and beauty.…”

“…This is a subject with a lot of elegance and beauty. It leads to a deep theoretical understanding of basic kinematics and is applicable to the design of mechanisms where high precision or small motions dominate the design requirements [15,17]. Before undertaking this paper, I only associated the names of Bottema and Veldkamp as my connection to this subject.…”

An Extension of an Algorithm for Planar Four-Bar Path Generation With Optimization

“…Danieli et al [6] applied Burmester theory in the design of planar four-bar motion generators to reproduce tibia-femur relative motion. Goehler et al [7] applied parameterized T 1 motion theory to the synthesis of planar four-bar motion generators. This T 1 motion theory is general and not limited to the second order parameterization that is associated with prior development of T 1 motion theory.…”