Detail publikace

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

FUCHS, G. ŠÁTEK, V. VOPĚNKA, V. KUNOVSKÝ, J. KOZEK, M.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Simulation, Taylor series, Numerical integration, Torsion chain

Autoři

FUCHS, G.; ŠÁTEK, V.; VOPĚNKA, V.; KUNOVSKÝ, J.; KOZEK, M.

Rok RIV

2013

Vydáno

3. 4. 2013

Nakladatel

Elsevier Science

ISSN

1569-190X

Periodikum

SIMULATION MODELLING PRACTICE AND THEORY

Ročník

2013

Číslo

33

Stát

Nizozemsko

Strany od

89

Strany do

101

Strany počet

13

URL

http://www.sciencedirect.com/science/article/pii/S1569190X12001359

BibTex

@article{BUT103482,
  author="Georg {Fuchs} and Václav {Šátek} and Václav {Vopěnka} and Jiří {Kunovský} and Martin {Kozek}",
  title="Application of the Modern Taylor Series Method to a multi-torsion chain",
  journal="SIMULATION MODELLING PRACTICE AND THEORY",
  year="2013",
  volume="2013",
  number="33",
  pages="89--101",
  doi="10.1016/j.simpat.2012.10.002",
  issn="1569-190X",
  url="http://www.sciencedirect.com/science/article/pii/S1569190X12001359"
}