Efficient Simulation for Dynamic Systems with Discontinuities

Qiong Yuan

doi:10.4028/www.scientific.net/AMR.989-994.2515

Paper Titles

Image Fusion Algorithm by Improved Chaos Immune Genetic Algorithm in Multi-Wavelet Transform Domain
p.2499

Interpolation Algorithm Application Using Neural Networks for Flywheel Energy Storage System
p.2503

The Application of Correlation Dimension in the Multi-Objective Comprehensive Evaluation of the Large Complex Equipment Procurement Scheme
p.2507

Modeling and Simulation of Vehicle Traffic Detection System Based on Ground Sense Coil
p.2511

Efficient Simulation for Dynamic Systems with Discontinuities
p.2515

Optimization Model and Algorithm for Responsive Closed-Loop Supply Chain Logistics Network with Direct Shipment under E-Commerce
p.2519

Tabu Search for Bus Crew Scheduling with Feasible Sets of Shifts
p.2523

Modified Harmony Search Algorithm for Unconstrained Numerical Optimization Problems
p.2528

A Modified Harmony Search Algorithm for Numerical Optimization Problems
p.2532

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 989-994Efficient Simulation for Dynamic Systems with...

Efficient Simulation for Dynamic Systems with Discontinuities

Abstract:

In many techneques for handling discontinuities, the presence of a discontinuity is detected by a change of sign in the value of a discontinuity function. This paper discusses the problems caused by this sign rule of detecting discontinuities for some engineering applications, and describes an alternative which uses a change of the state marker value .The modified program with Runge-Kutta-Merson and Gear integration subroutines have been successfully applied to the simulation for mechanical, electrical and other dynamic systems with discontinuities for which the original program is inefficient.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 989-994)

Pages:

2515-2518

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.989-994.2515

Citation:

Cite this paper

Online since:

July 2014

Authors:

Qiong Yuan*

Keywords:

Discontinuity, Dynamic Systems, Integration Package, Simulation

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Guangleng Xiong, Digital Simulation Algorithms and Software(in Chiness). Beijing: Astronautic Publishing House, (1991).

Google Scholar

[2] Degui Liu, and Jinggao Fei, Digital Simulation Algorithms for Dynamic Systems(in Chiness). Beijing: Science Press, (2000).

Google Scholar

[3] Tianyuan Xiao, and Wenhui Fan, Introduction to System Simulation, 2rd ed. (in Chiness). Beijing: Tsinghua University Press, (2010).

Google Scholar

[4] D. Ellison, Efficient Automatic Integration of Ordinary Differential Equations with Discontinuities, in Math. Comput. Simulation, vol. XXIII, March 1981, p.12–20.

DOI: 10.1016/0378-4754(81)90003-3

Google Scholar

[5] Qiong Yuan, etc. , A Support State Marker Method for Detecting Discontinuities in Simulation of Dynamic Systems , in the Conference Proceedings of the Information Technology Applications in Industry Computer Engineering and Materials Science, Nanjing China, September 2013, Pages: 3749-3753, published by TTP.

DOI: 10.4028/www.scientific.net/amr.756-759.3749

Google Scholar

[6] J.L. Hay, R.E. Crosbie, and R.I. Chaplin., Integration Routines for System with Discontinuities Simulation, in Comput. J, vol. IVII, 1974, pp.275-278.

Google Scholar

[7] B. Das, S. Steinberg, Danjie Zhang, and T. Robey , Comparisons of Numerical Solution Methods for Differential Equations with Discontinuous Coefficients, in Math. Comput. Simulation, vol. III VI, April 1994, pp.57-75.

DOI: 10.1016/0378-4754(94)90048-5

Google Scholar