A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices

1955 ◽  
Vol 22 (2) ◽  
pp. 215-221
Author(s):  
J. Denavit ◽  
R. S. Hartenberg
Keyword(s):  
Matrix Algebra ◽  
Symbolic Notation ◽  
Lower Pair ◽  
Space Mechanisms ◽  
Kinematic Properties

Abstract A symbolic notation devised by Reuleaux to describe mechanisms did not recognize the necessary number of variables needed for complete description. A reconsideration of the problem leads to a symbolic notation which permits the complete description of the kinematic properties of all lower-pair mechanisms by means of equations. The symbolic notation also yields a method for studying lower-pair mechanisms by means of matrix algebra; two examples of application to space mechanisms are given.

Rapid Prototyping of Lower-Pair, Geared-Pair and Cam Mechanisms

2000 ◽  
Author(s):  
Thierry Laliberté ◽  
Clément M. Gosselin ◽  
Gabriel Côté
Keyword(s):  
Rapid Prototyping ◽  
Experimental Validation ◽  
Fused Deposition Modeling ◽  
3D Visualization ◽  
Fused Deposition ◽  
Lower Pair ◽  
Deposition Modeling ◽  
Kinematic Properties

Abstract In this paper, a framework for the rapid prototyping of lower-pair, geared-pair and cam mechanisms using a commercially available CAD package and a Fused Deposition Modeling (FDM) rapid prototyping machine is presented. A database of lower kinematic pairs (joints) is developed experimentally. Geared-pair and cam mechanisms are also developed. These mechanisms are then used in the design of the prototypes. Examples are presented in order to demonstrate the potential of this technique. Physical prototypes can be of great help in the design of mechanisms by allowing the 3D visualization of the mechanism as well as providing an experimental validation of the geometric and kinematic properties.

The innovative space as the most important element of theregional socio-economic space

2019 ◽  
pp. 60-70
Author(s):  
Larysa Gromozdova ◽  
Inna Stenicheva
Keyword(s):  
Basic Element ◽  
Information Support ◽  
Space Region ◽  
Regional Innovation ◽  
Economic Space ◽  
Mechanisms Of Formation ◽  
Innovation Space ◽  
Space Mechanisms ◽  
Constituent Elements

Purpose of the article: to determine the essence of different elements ofsocio-economic space of the region. Construction of the structure and isolationof individual elements of socio-economic space as a multi-vector formation.This article highlights the essence and different approaches to defining theconcepts, structure and mechanisms of formation of economic and social spacesof the region, innovation space as a basic element of socio-economic space.Research Methods: The methodological basis of the research is the fundamentalprinciples of economic theory, regional economy, scientific views and approachesof foreign and domestic scientists. To achieve the purpose of the study, themethods used at the empirical and theoretical levels were used: axiomatic,abstract, system-structural analysis, analogies and comparisons, graphoanalytic,by which the characterization of the nature of the concepts of space, socioeconomic space, as well as innovation space region. Their general properties,structure and functions are described.The criteria of optimality and balancesof interests in the formation of different types of space in the region areconsidered. The classification of the regional space is proposed, and the networkconnections of the innovation space according to components and elements arerevealed, which allows to study deeply the social, economic and other problemsof development of the region.Scientific novelty: the classification of regionalspace by separate constituent elements is proposed. The concept of “innovationspace” was introduced into scientific circulation, the scheme of networkconnections of the innovation space with other elements of the regional socioeconomic space was developed. Conclusions and Prospects for Further Research:In today’s context, it is possible to significantly improve the economic stateof development of Ukrainian regions by using a scientifically sound andcomprehensive approach to defining and studying the concepts of socioeconomic and innovative space.In the further study it is necessary to considerin detail the mechanism of organizational activity of innovation space in theregion. It is very important to pay attention to information support for theformation of the innovation space, the creation of a regional legal field ofinnovation space, mechanisms for coordinating regional innovation activitieswithin the innovation space, as well as the influence of internal and externalfactors on the formation and development of the innovation space.

On the kinematic properties of the —3 law for kinetic energy

Tellus ◽  
1979 ◽  
Vol 31 (6) ◽  
pp. 487-492
Author(s):  
Philip E. Merilees
Keyword(s):  
Kinetic Energy ◽  
Kinematic Properties

scholarly journals The merger-driven evolution of massive early-type galaxies

2020 ◽  
Vol 15 (S359) ◽  
pp. 62-66
Author(s):  
Carlo Cannarozzo ◽  
Carlo Nipoti ◽  
Alessandro Sonnenfeld ◽  
Alexie Leauthaud ◽  
Song Huang ◽  
...  
Keyword(s):  
Mass Velocity ◽  
Selection Criteria ◽  
Velocity Dispersion ◽  
Ex Situ ◽  
Scaling Relations ◽  
Early Type ◽  
History Of ◽  
Kinematic Properties ◽  
Shed Light

AbstractThe evolution of the structural and kinematic properties of early-type galaxies (ETGs), their scaling relations, as well as their stellar metallicity and age contain precious information on the assembly history of these systems. We present results on the evolution of the stellar mass-velocity dispersion relation of ETGs, focusing in particular on the effects of some selection criteria used to define ETGs. We also try to shed light on the role that in-situ and ex-situ stellar populations have in massive ETGs, providing a possible explanation of the observed metallicity distributions.

Factorization of an adjontable Markov operator

2019 ◽  
Vol 22 (02) ◽  
pp. 1950013
Author(s):  
Carlo Pandiscia
Keyword(s):  
Hilbert Space ◽  
Matrix Algebra ◽  
Unitary Operator ◽  
Markov Operator ◽  
Factorization Property ◽  
Markov Operators ◽  
Dilation Theory ◽  
Probability Spaces

In this work, we propose a method to investigate the factorization property of a adjontable Markov operator between two algebraic probability spaces without using the dilation theory. Assuming the existence of an anti-unitary operator on Hilbert space related to Stinespring representations of our Markov operator, which satisfy some particular modular relations, we prove that it admits a factorization. The method is tested on the two typologies of maps which we know admits a factorization, the Markov operators between commutative probability spaces and adjontable homomorphism. Subsequently, we apply these methods to particular adjontable Markov operator between matrix algebra which fixes the diagonal.

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