Application of the Modern Taylor Series Method to a multi-torsion chain

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F13%3APU106342" target="_blank" >RIV/00216305:26230/13:PU106342 - isvavai.cz</a>

Result on the web

<a href="http://www.sciencedirect.com/science/article/pii/S1569190X12001359" target="_blank" >http://www.sciencedirect.com/science/article/pii/S1569190X12001359</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.simpat.2012.10.002" target="_blank" >10.1016/j.simpat.2012.10.002</a>

Result language

angličtina

Original language name

Application of the Modern Taylor Series Method to a multi-torsion chain

Original language description

In this paper the application of a novel high accuracy numerical integration method is presented for a practical mechanical engineering application. It is based on the direct use of the Taylor series. The main idea is a dynamic automatic order setting, i.e. using as many Taylor series terms for computing as needed to achieve the required accuracy. Previous results have already proved that this numerical solver is both very accurate and fast. In this paper the performance is validated for a real engineering assembly and compared to a Jacobian power series method. The chosen experiment setup is a multi-torsional oscillator chain which reproduces typical dynamic behavior of industrial mechanical engineering problems. Its rotatory dynamics are described by linear differential equations. For the test series the system is operated in a closed-loop configuration. A reference solution of the linear differential equations of the closed-loop system for the output variable is obtained with the mathematical software tool Maple and validated by comparison to measurements from the experiment. The performance of the Modern Taylor Series Method is demonstrated by comparison to standard fixed-step numerical integration methods from the software tool Matlab/Simulink and to the Jacobian power series approximation. Furthermore, the improvement in numerical accuracy as well as stability is illustrated and CPU-times for the different methods are given.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

SIMULATION MODELLING PRACTICE AND THEORY

ISSN

1569-190X

e-ISSN

1878-1462

Volume of the periodical

2013

Issue of the periodical within the volume

33

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

13

Pages from-to

89-101

UT code for WoS article

000317253700008

EID of the result in the Scopus database

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