Respostas Dinâmicas em Sistemas Discretos Matriciais de Ordem Arbitrária
DOI:
https://doi.org/10.5540/tema.2004.05.01.0077Abstract
Neste trabalho, a resposta impulso é utilizada como ferramenta básica no estudo direto de sistemas discretos LTI de ordem arbitrária. Esta abordagem leva ao desenvolvimento de uma conveniente plataforma para a obtenção de respostas dinâmicas discretas. Em particular, as respostas forçadas são decompostas na soma de uma resposta permanente e de uma resposta livre induzida pelos valores iniciais da resposta permanente. Nas simulações foram considerados vários esquemas de integração numérica, em particular, no modelo de suspensão de um carro, utilizouse o esquema evolutivo de segunda ordem de Numerov.References
[1] L. Brogan, ”Modern Control Theory”, Prentice Hall, New Jersey, 1992.
J.R. Claeyssen e T. Tsukazan, Dynamical Solutions of Linear Matrix Differential Equations, Quarterly of Applied Mathematics, 48, No. 1 (1990).
J.R. Claeyssen, G.C. Suazo e C.R. Jung, A Direct Approach to Second-order Matrix Non-classical Vibrating Equations, Applied Numerical Mathematics, 30 (1999), 65-78.
J.R. Claeyssen e R.A. Soder, A Dynamical Basis for Computing the Modes of Euler-Bernoulli Beams, Journal of Sound and Vibration, 259, No. 4 (2003), 986-900.
J.R. Claeyssen, I. Ferreira e R.D. Copetti, Decomposition of Forced Responses in Vibrating Systems, Applied Numerical Mathematics, 47 (2003), 391-405.
I. Ferreira, J. R. Claeyssen e G. Canahualpa, Convolution with Weighting, Impulse, Transient and Permanent Responses, em “SIAM Meeting in Control, Signals and Linear Algebra”, Boston, 2001.
I. Ferreira, ”Uma Metodologia Unificada no Domínio Tempo para Sistemas Concentrados, Discretos e Distribuídos”, Tese de Doutorado, PROMEC, UFRGS, Porto Alegre, RS, 2002.
I. Ferreira e J.R. Claeyssen, Forced Responses in Continuous and Discrete Systems, em “Anais do 1o. Congresso Temático de Dinâmica, Controle e Aplicações”, São José do Rio Preto, pp. 931-936, SBMAC, 2002.
J.H.Ginsberg, ”Mechanical and Structural Vibrations:Theory and Applications”, John Wiley, New York, 2002.
S.K. Godunov e V.S. Ryabenkii, Difference Schemes - An Introduction to the Underlying Theory, Studies in Mathematics and its Applications, Elsevier, 19 (1987).
E. Hairer, S.P. Norsett e G. Wanner, “Solving Ordinary Differential Equations I”, Springer Series in Computational Mathematics, New York, 1987.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish in this journal agree to the following terms:
Authors retain copyright and grant the journal the right of first publication, with the work simultaneously licensed under the Creative Commons Attribution License that allows the sharing of the work with acknowledgment of authorship and initial publication in this journal.
Authors are authorized to assume additional contracts separately, for non-exclusive distribution of the version of the work published in this journal (eg, publish in an institutional repository or as a book chapter), with acknowledgment of authorship and initial publication in this journal.
Authors are allowed and encouraged to publish and distribute their work online (eg, in institutional repositories or on their personal page) at any point before or during the editorial process, as this can generate productive changes as well as increase impact and the citation of the published work (See The effect of open access).
This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the
author. This is in accordance with the BOAI definition of open access
Intellectual Property
All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License under attribution BY.
