Investigation for the presence of chaos in surface topography generated by EDM

被引：15

作者：

Aich, Ushasta ^{[1
]}

机构：

[1] Jadavpur Univ, Mech Engn Dept, Kolkata 700032, India

来源：

TRIBOLOGY INTERNATIONAL | 2018年 / 120卷

关键词：

Electric discharge machining (EDM); Chaos; Determinism; Degree of deterministic chaos (DoDC); TIME-SERIES; RIVER;

D O I：

10.1016/j.triboint.2018.01.013

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Investigation for the presence of chaos in apparently erratic-looking fluctuations in surface profiles leads to a percipience of the mechanism behind surface generation process. Here, an organized methodology is devised to unveil the dynamics of surface generation in EDM by examining generated surfaces. Sequence of profile heights is considered as time series and inspected using nonlinear time series analytical tools. Both the test for chaos and the test for determinism postulate presence of deterministic chaos in surface topography and thereby in the occurrence of discharges during surface generation by EDM. Further, an entropy based non-dimensional index is introduced to quantify the level of deterministic chaos. The proposed methodology would guide the engineers to correlate a surface and its generation process.

引用

页码：411 / 433

页数：23

共 32 条

[1]

[Anonymous], 1981, DYNAMICAL SYSTEMS TU

[2]

[Anonymous], 1987, Chaos: Making a new science

[3] INFLUENCE OF MECHANICAL PERTURBATION ON THE BREAKDOWN OF A LIQUID DIELECTRIC [J].

BOMMELI, B ;

FREI, C ;

RATAJSKI, A .

JOURNAL OF ELECTROSTATICS, 1979, 7 (AUG) :123-144

[4] OBSERVATION OF DETERMINISTIC CHAOS IN ELECTRICAL DISCHARGES IN GASES [J].

BRAUN, T ;

LISBOA, JA ;

FRANCKE, RE ;

GALLAS, JAC .

PHYSICAL REVIEW LETTERS, 1987, 59 (06) :613-616

[5] Practical method for determining the minimum embedding dimension of a scalar time series [J].

Cao, LY .

PHYSICA D, 1997, 110 (1-2) :43-50

[6] On the chaotic nature of electro-discharge machining [J].

Gatto, Andrea ;

Sofroniou, Mark ;

Spaletta, Giulia ;

Bassoli, Elena .

INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2015, 79 (5-8) :985-996

[7] A new test for chaos in deterministic systems [J].

Gottwald, GA ;

Melbourne, I .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2004, 460 (2042) :603-611

[8] On the Implementation of the 0-1 Test for Chaos [J].

Gottwald, Georg A. ;

Melbourne, Ian .

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2009, 8 (01) :129-145

[9] State of the art electrical discharge machining (EDM) [J].

Ho, KH ;

Newman, ST .

INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE, 2003, 43 (13) :1287-1300

[10] Characterizing cross-scale chaotic behaviors of the runoff time series in an inland river of Central Asia [J].

Hu, Zengyun ;

Zhang, Chi ;

Luo, Geping ;

Teng, Zhidong ;

Jia, Chaojun .

QUATERNARY INTERNATIONAL, 2013, 311 :132-139

← 1 2 3 4 →