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A New Approach in Analytical Dynamics of Mechanical Systems
Negrean, Iuliu ; Crișan, Adina-Veronica ; Vlase, Sorin
Symmetry (Basel), 2020-01, Vol.12 (1), p.95
[Periódico revisado por pares]
Basel: MDPI AG
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Título:
A New Approach in Analytical Dynamics of Mechanical Systems
Autor:
Negrean, Iuliu
;
Crișan, Adina-Veronica
;
Vlase, Sorin
Assuntos:
acceleration energies
;
advanced mechanics
;
analytical dynamics
;
Dynamic tests
;
Kinematics
;
Mathematical analysis
;
matrix exponentials
;
Mechanical systems
;
Mechanics
;
Robots
;
Scientific papers
É parte de:
Symmetry (Basel), 2020-01, Vol.12 (1), p.95
Descrição:
This paper presents a new approach to the advanced dynamics of mechanical systems. It is known that in the movements corresponding to some mechanical systems (e.g., robots), accelerations of higher order are developed. Higher-order accelerations are an integral part of higher-order acceleration energies. Unlike other research papers devoted to these advanced notions, the main purpose of the paper is to present, in a matrix form, the defining expressions for the acceleration energies of a higher order. Following the differential principle in generalized form (a generalization of the Lagrange–D’Alembert principle), the equations of the dynamics of fast-moving systems include, instead of kinetic energies, the acceleration energies of higher-order. To establish the equations which characterize both the energies of accelerations and the advanced dynamics, the following input parameters are considered: matrix exponentials and higher-order differential matrices. An application of a 5 d.o.f robot structure is presented in the final part of the paper. This is used to illustrate the validity of the presented mathematical formulations.
Editor:
Basel: MDPI AG
Idioma:
Inglês
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