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Fundamentals of screw theory

2022
Jaime Gallardo-Alvarado   +1 more
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Kinematická analýza paralelných mechanizmov pomocou Screw theory

Technológ
The aim of this paper is to summarise the mathematical basics of the Screw theory and its application in mechanics. The paper provides methodology for finding the degrees of freedom of the effector, as well as for determining its mobility. Furthermore, we give an input-output equation for velocities for the parallel mechanism, that allows to obtain the
Mária Michalková, Vladimír Guldan
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A continuum theory of screw dislocation equilibrium

International Journal of Engineering Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Suspension Analysis with Instant Screw Axis Theory

SAE Technical Paper Series, 1991
<div class="htmlview paragraph">Currently all or most suspensions and their motions are assumed to be planar, and are kinematically modeled as two dimensional mechanisms. Therefore the instant rotation centers, including the instant rotation center of the vehicle body with respect to the ground (commonly known as the “roll center”) and the ...
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Aspects of Clifford Algebra for Screw Theory

2009
Some aspects of Clifford Algebra are presented in the context of rigid body mechanics. Multivectors are discussed together with their inner, outer and geometric products. Their role in representing concepts from screw theory in naturally geometrical terms is briefly explored.
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MOBILITY ANALYSIS OF PARALLEL MECHANISMS USING SCREW THEORY

Проблемы машиностроения и автоматизации, 2021
Anton Vadimovich Antonov   +1 more
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An Overview of the Theory of Screws

2016
Screw theory refers to the algebra and calculus of six-dimensional entities formed with ordered pairs of three-dimensional vectors related by a reference point, as forces and moments as well as angular and linear velocities concerned with the kinematics and dynamics of a rigid body.
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Formalizing screw theory with 3D geometric algebra

Physica Scripta
Abstract This paper is intended for students and researchers looking for more insight into Screw Theory. It shows how algebraic considerations lead to both physical and geometrical understanding of screws, and how they can connect affine geometry (what the world is) to linear algebra (what we can easily compute).
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