Analytical Solution of a Nonlinear Index-Three DAEs System Modelling a Slider-Crank Mechanism
The slider-crank mechanism (SCM) is one of the most important mechanisms in modern technology. It appears in most combustion engines including those of automobiles, trucks, and other small engines. The SCM model considered here is an index-three nonlinear system of differential-algebraic equations (...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/206473 |
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| Summary: | The slider-crank mechanism (SCM) is one of the most
important mechanisms in modern technology. It appears in most combustion
engines including those of automobiles, trucks, and other small engines. The
SCM model considered here is an index-three nonlinear system of
differential-algebraic equations (DAEs), and therefore difficult to integrate
numerically. In this work, we present the application of the differential
transform method (DTM) to obtain an approximate analytical solution of the
SCM model in convergent series form. In addition, we propose a
posttreatment of the power series solution with the Padé resummation
method to extend the domain of convergence of the approximate series
solution. The main advantage of the proposed technique is that it does not
require an index reduction and does not generate secular terms or depend on
a perturbation parameter. |
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| ISSN: | 1026-0226 1607-887X |