An overview of formulae for the higher-order kinematics of lower-pair chains with applications in robotics and mechanism theory

A Mueller - Mechanism and Machine Theory, 2019 - Elsevier
The motions of mechanisms can be described in terms of screw coordinates by means of an
exponential mapping. The product of exponentials (POE) describes the configuration of a …

Higher derivatives of the kinematic mapping and some applications

A Müller - Mechanism and Machine Theory, 2014 - Elsevier
A thorough analysis of mechanisms requires higher derivatives of the kinematic relations
between its members. Such a relation is the (forward) kinematic mapping of a kinematic …

Finding the generalized forces of a series-parallel manipulator

M Garcia-Murillo, J Gallardo-Alvarado… - International …, 2013 - journals.sagepub.com
In this work the kinematic and dynamic analyses of a robot manipulator whose topology
consists of parallel kinematic structures with linear actuators are approached by means of …

Kinematics of an asymmetrical three-legged parallel manipulator by means of the screw theory

J Gallardo-Alvarado, A Ramírez-Agundis… - … and Machine Theory, 2010 - Elsevier
In this work the kinematics of a three-legged parallel manipulator with asymmetrical limbs
and decoupled motions over its moving platform is investigated by means of the theory of …

A novel six-degrees-of-freedom series-parallel manipulator

J Gallardo-Alvarado, R Rodríguez-Castro… - Journal of Mechanical …, 2012 - Springer
This paper addresses the description and kinematic analyses of a new non-redundant
series-parallel manipulator. The primary feature of the robot is to have a decoupled topology …

Jerk analysis of a six-degrees-of-freedom three-legged parallel manipulator

J Gallardo-Alvarado - Robotics and Computer-Integrated Manufacturing, 2012 - Elsevier
In this work the jerk analysis of a 3-RRPS parallel manipulator to realize six degrees of
freedom is approached by means of the theory of screws. The input/output equations of …

Simplified kinematics for a parallel manipulator generator of the Schönflies motion

J Gallardo-Alvarado… - Journal of …, 2016 - asmedigitalcollection.asme.org
This work is devoted to simplify the inverse–forward kinematics of a parallel manipulator
generator of the 3T1R motion. The closure equations of the displacement analysis are …

Identification of non-transversal motion bifurcations of linkages

A Müller, PC López-Custodio… - Journal of …, 2021 - asmedigitalcollection.asme.org
The local analysis is an established approach to the study of singularities and mobility of
linkages. The key result of such analyses is a local picture of the finite motion through a …

Kinematics of the 4-RUU parallel manipulator generator of the Schönflies motion by means of screw theory

J Gallardo-Alvarado, MA García-Murillo… - Journal of Mechanical …, 2017 - Springer
This work deals with the inverse–forward kinematic analysis of a symmetric parallel
manipulator equipped with a rotary actuator generator of three independent translations and …

Kinematic analysis of a novel 2 (3-RUS) parallel manipulator

RE Sánchez-Alonso, JJ González-Barbosa… - Robotica, 2016 - cambridge.org
This paper introduces a novel 6-DOF parallel manipulator, which is composed of two 3-RUS
parallel manipulators that share a common three-dimensional moving platform. Semi …