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[HTML][HTML] Factorization results for left polynomials in some associative real algebras: state of the art, applications, and open questions
We discuss existence of factorizations with linear factors for (left) polynomials over certain
associative real involutive algebras, most notably over Clifford algebras. Because of their …
associative real involutive algebras, most notably over Clifford algebras. Because of their …
Structure synthesis and reconfiguration analysis of variable-degree-of-freedom single-loop mechanisms with prismatic joints using dual quaternions
This paper deals with the structure synthesis and reconfiguration analysis of variable-DOF
(variable-degree-of-freedom) single-loop mechanisms with prismatic joints based on a …
(variable-degree-of-freedom) single-loop mechanisms with prismatic joints based on a …
[ספר][B] Handbook of geometric constraint systems principles
M Sitharam, AS John, J Sidman - 2018 - taylorfrancis.com
The Handbook of Geometric Constraint Systems Principles is an entry point to the currently
used principal mathematical and computational tools and techniques of the geometric …
used principal mathematical and computational tools and techniques of the geometric …
[HTML][HTML] A multi-Bennett 8R mechanism obtained from factorization of bivariate motion polynomials
We present a closed-loop 8R mechanism with two degrees of freedom whose motion
exhibits curious properties. In any point of a two-dimensional component of its configuration …
exhibits curious properties. In any point of a two-dimensional component of its configuration …
Synthesis of multi-mode single-loop Bennett-based mechanisms using factorization of motion polynomials
This paper systematically deals with the synthesis of multi-mode single-loop 6R, 7R and 8R
Bennett-based mechanisms from an algebraic viewpoint. Based on the factorization of …
Bennett-based mechanisms from an algebraic viewpoint. Based on the factorization of …
Algebraic synthesis and input-output analysis of 1-DOF multi-loop linkages with a constant transmission ratio between two adjacent parallel, intersecting or skew axes
This paper deals with the algebraic synthesis and input-output analysis of one degree-of-
freedom (1-DOF) multi-loop planar, spherical, and spatial linkages for increasing or …
freedom (1-DOF) multi-loop planar, spherical, and spatial linkages for increasing or …
Kempe's universality theorem for rational space curves
We prove that every bounded rational space curve of degree d and circularity c can be
drawn by a linkage with 9 2 d-6c+ 1 9 2 d-6 c+ 1 revolute joints. Our proof is based on two …
drawn by a linkage with 9 2 d-6c+ 1 9 2 d-6 c+ 1 revolute joints. Our proof is based on two …
[HTML][HTML] Factorization of motion polynomials
In this paper, we consider the factorizations of monic, bounded motion polynomials. We
prove existence of factorizations, possibly after multiplication with a real polynomial Q, and …
prove existence of factorizations, possibly after multiplication with a real polynomial Q, and …
Algebraic synthesis of single-loop 6R spatial mechanisms for constant velocity transmission between two adjacent parallel, intersecting or skew axes
This paper addresses the algebraic synthesis of novel single-loop 6R spatial mechanisms,
enabling constant-1: 1 or 1: 1 velocity ratio transmission between two adjacent axes …
enabling constant-1: 1 or 1: 1 velocity ratio transmission between two adjacent axes …
[HTML][HTML] Reasoning about linkages with dynamic geometry
We illustrate an on-going work on the crossroad of mechanical linkages, dynamic geometry
and automated reasoning. In particular, we exemplify how some automated reasoning tools …
and automated reasoning. In particular, we exemplify how some automated reasoning tools …