Identifying the Isomorphism of Kinematic Chains

Computer Aided Detection of Isomorphism among Kinematic Chains and Mechanisms Using the Concept of Modified Distance

-A computer aided method has been proposed for detecting isomorphism among planar kinematic chains with sample joints using a new invariant called the arranged sequence of modified total distance ranks of all the links (ASMTDRL). This invariant takes into account the degrees of'links, and degrees-of-freedom and types of joints of the kinematic chain. Two computer aided methods have also been de...

Chains of Kinematic Points

In formulating the stability problem for an infinite chain of cars, state space is traditionally taken to be the Hilbert space `, wherein the displacements of cars from their equilibria, or the velocities from their equilibria, are taken to be square summable. But this obliges the displacements or velocity perturbations of cars that are far down the chain to be vanishingly small and leads to an...

A New Method Based On the Comparison of the Unique Chain Code to Detect Isomorphism among Kinematic Chains

Infinite chains of kinematic points

In formulating the stability problem for an infinite chain of cars, state space is traditionally taken to be the Hilbert space l2, wherein the displacements of cars from their equilibria, or the velocities from their equilibria, are taken to be square summable. But this obliges the displacements or velocity perturbations of cars that are far down the chain to be vanishingly small and leads to a...

Manipulability of Closed Kinematic Chains

This paper presents a coordinate-invariant differential geometric analysis of manipulability for closed kinematic chains containing active and passive joints. The formulation treats both redundant and nonredundant mechanisms, as well as over-actuated and exactly actuated ones, in a uniform manner. Dynamic characteristics of the mechanism and manipulated object can also be naturally included by ...