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 …

Kinematic properties of nthorder Bresse circles intersections for a crank-driven rigid body

G Figliolini, C Lanni, M Cirelli, E Pennestrì - Mechanism and Machine …, 2023 - Elsevier
This paper is focused on higher-order planar kinematics and deals with the kinematic
properties of the n th-order poles and Bresse circles intersections for a crank-driven rigid …

Dynamics of parallel manipulators by means of screw theory

J Gallardo, JM Rico, A Frisoli, D Checcacci… - … and machine theory, 2003 - Elsevier
An approach to the dynamic analysis of parallel manipulators is presented. The proposed
method, based on the theory of screws and on the principle of virtual work, allows a …

Higher-order relative kinematics of rigid body and multibody systems. A novel approach with real and dual lie algebras

D Condurache - Mechanism and Machine Theory, 2022 - Elsevier
In this paper, a computing method for the higher-order acceleration vector field properties in
general rigid body motion and multibody system is proposed using algebraic properties of …

Kinematics and dynamics of 2 (3-RPS) manipulators by means of screw theory and the principle of virtual work

J Gallardo-Alvarado, CR Aguilar-Nájera… - … and Machine Theory, 2008 - Elsevier
In this contribution the kinematic and dynamic analyses, up to the determination of the
driving forces, of a specific class of series–parallel manipulators, known as 2 (3-RPS) …

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 …

[HTML][HTML] Mechanism singularities and shakiness from an algebraic viewpoint

Z Li, A Müller - Mechanism and Machine Theory, 2024 - Elsevier
Kinematic singularities are configurations where the configuration space (c-space) V is not
smooth or configurations where the rank of the constraint Jacobian drops while the c-space …

Local kinematic analysis of closed-loop linkages—mobility, singularities, and shakiness

A Müller - Journal of Mechanisms and Robotics, 2016 - asmedigitalcollection.asme.org
The mobility of a linkage is determined by the constraints imposed on its members. The
geometric constraints define the configuration space (c-space) variety as the geometric …

Solving the kinematics and dynamics of a modular spatial hyper-redundant manipulator by means of screw theory

J Gallardo-Alvarado, CR Aguilar-Nájera… - Multibody System …, 2008 - Springer
In this contribution, a systematic methodology for solving the kinematic and dynamic
analyses of a modular spatial hyper-redundant manipulator built with an optional number of …

A Gough–Stewart parallel manipulator with configurable platform and multiple end-effectors

J Gallardo-Alvarado - Meccanica, 2020 - Springer
This work describes a novel robot manipulator with configurable platform. Three internal
degrees-of-freedom are added for controlling the relative orientation of the terminal links …