A Review of Phase Space Topology Methods for Vibration-Based Fault Diagnostics in Nonlinear Systems

Abstract

Background In general, diagnostics can be defined as the procedure of mapping the information obtained in the measurement space to the presence and magnitude of faults in the fault space. These measurements, and especially their nonlinear features, have the potential to be exploited to detect changes in dynamics due to the faults. Purpose We have been developing some interesting techniques for fault diagnostics with gratifying results. Methods These techniques are fundamentally based on extracting appropriate features of nonlinear dynamical behavior of dynamic systems. In particular, this paper provides an overview of a technique we have developed called Phase Space Topology (PST), which has so far displayed remarkable effectiveness in unearthing faults in machinery. Applications to bearing, gear and crack diagnostics are briefly discussed.

Fault identification and severity analysis of rolling element bearings using phase space topology

“…Moreover, these methods do not consider the fundamental nonlinear physics of the system, which could have valuable insights, as was shown in our work Kwuimy et al (2018) and Maraini and Nataraj (2018). The present study is a continuation of our development of a family of methods based on phase space characterizations (Mohamad and Nataraj, 2017;Mohamad et al, 2018aMohamad et al, , 2018bMohamad et al, , 2018cMohamad et al, , 2019Samadani et al, 2013Samadani et al, , 2016.…”

A Review on Vibration-Based Condition Monitoring of Rotating Machinery

“…Yang_2017 [161] Isham_2019 [162] Amarnath_2013 [163] Mao_2018 [164] Chen_2015 [165] Rafiq_2021 [166] Isham_2018 [167] Jegadeeshwaran_2014 [168] Cyclostationary and cyclo-non-stationary analysis [173] Sun_2020 [174] Jeon_2020 [175] Fan_2020 [176] Youcef_2020 [177] Yang_2019 [178] Xin_2018 [179] Hamadache_2018 [180] Song_2018 [181] Golbaghi_2017 [182] Li_2016c [137] Raj_2015 [183] Ocak_2001 [184] Oh_2018 [185] Tarek_2020 [186] Li_2018 [187] Hong_2017 [188] Cerrada_2015 [189] Fan_2015 [190] Yang_2018 [191] Qiang_2014 [192] Moghadam_2021 [193] He_2016 [194] Gierlak_2017 [195] Zhao_2019b [196] Unique Jablon_2021 [197] Gu_2021 [198] Mohamad_2020 [2] Yan_2019 [199] Barbini_2018 [200] Khan_2016 [201] Biswas_2013 [202] Bai_2021a [203] Mohamad_2020 [2] Hizarci_2019 [204] Medina_2019 [205] Chen_2002 [206] Chen_2002…”

“…These techniques, based on measurements continuously carried out on the machinery (online condition monitoring) or performed at fixed time intervals (offline condition monitoring), aim to detect changes in the signals caused by damaged components with a clear distinction between anomalous alterations and changes caused by normal variations in the operating conditions of a system. Diagnostics are based on two spaces, the measurement space and the fault space; the mapping of the first space into the second makes it effective [2].…”

Diagnostic Signal Method for Fault Identification of Electro-Hydraulic Servo Actuators

“…Meanwhile, the abundant dynamics phenomena observed in the enriched responses ensure the sensitivity to fault parameters. The feature extraction technique is chosen to be the phase space topology (PST) method which is conceived and developed by our own team (Samadani, Kwuimy, & Nataraj, 2015;Mohamad, Nazari, & Nataraj, 2020). The PST method extracts density-based features from the phase space density distributions which circumvent frequency analysis and the influence of noises.…”