Detection of branching points in noisy processes

verfasst von

Michael Beer, Martin Liebscher

Abstract

Processes in engineeringmechanics often contain branching points at which the system can follow different physical paths. In this paper a method for the detection of these branching points is proposed for processes that are affected by noise. It is assumed that a bundle of process records are available from numerical simulations or from experiments, and branching points are concealed by the noise of the process. The bundle of process records is then evaluated at a series of discrete values of the independent process coordinates. At each discrete point of the process, the associated point set of process values is investigated with the aid of cluster analysis. The detected branching points are verified with a recursive algorithm. The revealed information about the branching points can be used to identify the physical and mechanical background for the branching. This helps to better understand a mechanical system and to design it optimal for a specific purpose. The proposed method is demonstrated by means of both a numerical example and a practical example of a crashworthiness investigation.

Externe Organisation(en)

National University of Singapore
DynaMore GmbH

Typ

Artikel

Journal

Computational mechanics

Band

45

Seiten

363-374

Anzahl der Seiten

12

ISSN

0178-7675

Publikationsdatum

03.2010

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Numerische Mechanik, Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik

Elektronische Version(en)

https://doi.org/10.1007/s00466-009-0458-4 (Zugang: Geschlossen)