Jerk influence coefficients, via screw theory, of closed chains

J Gallardo-Alvarado, JM Rico-Martinez - Meccanica, 2001 - Springer
In this paper a novel method for determining the kinematic influence coefficients up to the
jerk analysis of closed chains with multiple degrees of freedom by means of screw theory …

Kinematic jerk and jounce for multibody dynamics with joint constraints

HJ Sommer Iii - Mechanism and Machine Theory, 2024 - Elsevier
Planar and spatial joint constraint equations for jerk and jounce were derived for multibody
dynamics. Exemplar derivations are provided. Results from kinematically driven numerical …

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 …

Finding the jerk properties of multi-body systems using helicoidal vector fields

J Gallardo-Alvarado… - Proceedings of the …, 2008 - journals.sagepub.com
In this contribution, the kinematic angular and linear third-order properties, also known as
jerk analysis, of a multi-body system are determined applying the concept of helicoidal …

The differential calculus of screws: Theory, geometrical interpretation, and applications

JJ Cervantes-Sánchez… - Proceedings of the …, 2009 - journals.sagepub.com
This article presents a novel and original formula for the higher-order time derivatives, and
also for the partial derivatives of screws, which are successively computed in terms of Lie …

An Application of Screw Theory to the Jerk Analysis of a Two-Degrees-of-Freedom Parallel Wrist

J Gallardo-Alvarado, R Rodriguez-Castro… - Robotics, 2015 - mdpi.com
In this work the velocity, acceleration, and jerk analyses of a two-degrees-of-freedom
parallel wrist are approached by means of the theory of screws. For the sake of …

A unified analytical parametric method for kinematic analysis of planar mechanisms

K Abhary - International Journal of Mechanical Engineering …, 2022 - journals.sagepub.com
This paper describes a method for unified parametric kinematic analysis of those planar
mechanisms whose geometry can be defined with a set of independent vectorial loops, ie …

Rigid body hyper-jerk analysis using screw theory

J Gallardo-Alvarado, MA Garcia-Murillo - Multibody Mechatronic Systems …, 2015 - Springer
Few decades ago screw theory appears to be an 'old fashioned'mathematical tool confined
to solve simple rigid-body first-order kinematic analysis. Still in our days the validity of the …

[PDF][PDF] AN APPLICATION OF SCREW ALGEBRA TO THE JERK ANALYSIS OF A CLASS OF SIX-DEGREES-OF-FREEDOM THREE-LEGGED PARALLEL …

J Gallardo-Alvarado, KA Camarillo-Gómez… - Robotics State of the …, 2012 - researchgate.net
The jerk analysis is a topic of growing interest in quite different scientific communities. In fact,
the jerk can be a powerful mathematical tool to understand human motions, characterize …

Jerk Analysis

J Gallardo-Alvarado, J Gallardo-Alvarado - Kinematic Analysis of Parallel …, 2016 - Springer
Jerk, a research field of great interest in quite diverse academic communities, is the time rate
of change of acceleration and is related to the rate of change of force, namely an impulse …