Network models for the numerical solution of coupled ordinary non-lineal differential equations
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Inclou dades d'ús des de 2022
Cita com:
hdl:2117/192857
Tipus de documentText en actes de congrés
Data publicació2013
EditorCIMNE
Condicions d'accésAccés obert
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Abstract
Many apparently simple problems in mechanics or mechanical engineering,
particularly problems related to chaotic systems, are governing by coupled differential
equations, generally non-lineal, that have to be solved numerically by specialists in this field.
The network model, a tool very used in the last decades for numerical problems in different
fields of science and engineering, allows that non-specialists, and even students familiarized
with circuits theory, to design networks whose governing equations are just those of the
engineering phenomenon, assuming a suitable or formal equivalence between electrical and
physical variables. The design of the model, which is composed of a principal network, which
implements a balance between the addends of the differential equations, and auxiliary
networks to implement the derivative terms, follows a standard procedure. Non-lineal terms
of the differential equations are implemented by a controlled source, a kind of device whose
operation is quite intuitive. In this communication the models of two characteristic non-lineal
mechanical problems are designed step by step with a detailed explanation: the elastic
pendulum and the chaotic double pendulum: Solutions are presented graphically by using
MATLAB.
ISBN978-84-941407-6-1
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Coupled-2013-12 ... dels for the numerical.pdf | 416,3Kb | Visualitza/Obre |