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2025 | Book

Frequency Domain Nonlinear Vibration Features for Fault Diagnosis in Complex Structures

Authors: Quankun Li, Xingjian Jing

Publisher: Springer Nature Singapore

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About this book

This book provides a comprehensive introduction to recent advances in frequency domain nonlinear vibration features utilized for fault diagnosis in complex structures in the field of mechanical, civil, aeronautical and aerospace engineering. It illustrates their basic principles, advantages, drawbacks and applications in detail through theoretical analysis and simulation/experimental study.

This book focuses on frequency domain nonlinear vibration features and its main contents can be classified into two parts according to the introduced features. One is about features based on the SOOS (second-order output spectrum), and the other is about features based on the OS@DF (output spectrum at the double frequency or the second harmonic frequency). Complex structures in this book include satellites, aeroengines, bridges, pipelines, frames, etc., and corresponding multiple degree-of-freedom (MDOF) models include chain-type, beam-type, ring-like, grid-like, unit-like and rotating models.

Detailed theoretical analysis and case demonstration help undergraduates, graduates and researchers have a systematical learning process and understand basic dynamic characteristics of complex structures more thoroughly. Then, some models, methods and results in this book can be a valid reference for the design, optimization and iteration of next-generation complex structures. On the other hand, this book provides a totally new inspiration for fault diagnosis methods combined with artificial intelligence and machine learning algorithms since frequency domain nonlinear vibration features introduced in this book are more sensitive and effective to faults.

Table of Contents

Frontmatter
Chapter 1. Introduction
Abstract
Results from some reports and surveys demonstrate that complex structures with bolt-loosening faults can affect structural normal and safe operation and even cause some catastrophic consequences (Element in 5 disasters caused by material fatigue and what we learned from them, 2019; Helmreich in Aviat Space Environ Med 71:A133–A139, 2000; Kaminskaya and Lipov in Sov Eng Res 10:81–85, 1990; McLaren in Undetected stress fatigue crack caused wing to break off in water bombing plane crash that killed pilot David Black. ABC Illawarra, 2016).
Quankun Li, Xingjian Jing
Chapter 2. Representation of Complex Structures with the Volterra Series
Abstract
In this chapter, fundamental theories of the Volterra Series representing nonlinear systems with multiple inputs and multiple outputs are introduced firstly. Then, apart from the harmonic probing method, the nth-OSE algorithm and its improved version for estimating each order Volterra-type OS are introduced with detailed derivation as well.
Quankun Li, Xingjian Jing
Chapter 3. Utilising Properties of SOOS TFs to Virtual Beam-Like Structures
Abstract
Firstly, VBLSs are found in bolted complex structures along vibration sensor chains, and corresponding nonlinear chain-type MODF model is built to analyse structural nonlinear dynamic characteristics. Secondly, considering constant inherent nonlinearities in both healthy and damaged structures, effects of inherent nonlinearities are eliminated with additional equations from reference structures.
Quankun Li, Xingjian Jing
Chapter 4. A Novel Method Based on SOOS TFs and Local Tuning Approach
Abstract
In Chap. 3, properties of SOOS TFs of VBLSs are studied, and a novel method is proposed to diagnose bolt-loosening faults in structures with inherent nonlinearities caused by boundaries and/or materials. Results of theoretical analysis show that effects of inherent nonlinearities on nonlinear features and fault indicators can be eliminated by considering additional SOOSs from reference structures, and comparative results of experiments verify the accuracy of the novel proposed method.
Quankun Li, Xingjian Jing
Chapter 5. An Improved Method Based on SOOS TFs for Ring-Type Structures
Abstract
In previous two chapters (Chaps. 3 and 4), VBLSs are found in bolted complex structures based on corresponding vibration sensor chains, and then nonlinear chain-type MDOF model is applied to analyse structural dynamic characteristics. In literatures (Chesné and Deraemaeker, Mech Syst Signal Process 38:569–584, 2013; Maia et al., Mech Syst Signal Process 25:2475–2483, 2011; Yang et al., IEEE Trans InduStr Electron 62:6558–6564, 2015; Jing, IEEE/ASME Trans Mechatron 19:171–183, 2014a), this kind of dynamic model is very common to represent steel beam structures, wind turbine blades and vehicle suspension systems.
Quankun Li, Xingjian Jing
Chapter 6. A Systematic Method Based on SOOS TFs for Various Types of Faults
Abstract
In previous methods based on SOOS TFs and LTA for VBLSs and CRTSs, initial faults (i.e., bolt-loosening faults are at their early stages) are considered. Thus, faults will not affect structural linear parameters and only introduce additional damping and stiffness nonlinearities (Johnson and Adams, J Vib Acoust 124:634–641, 2002, Li XZ, Peng ZK, Dong XJ, Zhang WM, Meng G, Shock Vib (2015), Li et al., J Vib Control 23:2307–2327, 2017, Peng et al., J Sound Vib 301:777–788, 2007, Peng and Lang, J Appl Mech 77, 2010, Zhao et al. 2015, Li and Jing, Nonlinear Dyn 89:587–606, 2017). Based on this, effects of inherent nonlinearities caused by materials and/or boundaries on fault features and indicators can be eliminated with additional SOOSs from the reference structure.
Quankun Li, Xingjian Jing
Chapter 7. A Novel OS@DF TF-Based Method for Open Beam-Type Structures
Abstract
In civil and mechanical engineering, bolted beam-type structures are frequently subject to dynamic load-induced bolt-loosening faults in their service. Since bolt-loosening faults will seriously affect structural integrity and reliability, diagnosis of them as early as possible is very meaningful and valuable. To this objective, a large number of nonlinear vibration TF-based methods have been proposed and applied.
Quankun Li, Xingjian Jing
Chapter 8. A Novel OS@DF TF-Based Method for Closed Ring-Type Structures
Abstract
Bolted ring-type structures like steel truss bridges and copper interlaced pipes commonly exist in civil and mechanical engineering. Since these structures are often subject to various dynamic loads, bolt-loosening faults frequently generate and seriously affect structural in-service performance. Therefore, a large number of nonlinear vibration TF-based fault diagnosis methods, which make full use of structural nonlinear dynamic responses, have been proposed and applied.
Quankun Li, Xingjian Jing
Chapter 9. A Novel OS@DF TF-Based Method for Simple Grid-Type Structures
Abstract
In the civil engineering, bolted grid-type structures like steel truss bridges and roofs generally exist. Since these engineering structures usually work under dynamic operational and/or environmental loads like vibration and impact, bolt-loosening faults frequently generate and seriously affect their severity and smooth operation. Therefore, a plenty of frequency domain fault diagnosis methods utilising nonlinear vibration TFs have been proposed and applied.
Quankun Li, Xingjian Jing
Chapter 10. An Integrated OS@DF TF-Based Method for Union-Type Structures
Abstract
In the field of civil engineering, complex structures with interconnected bolts such as steel truss warehouses and bridges have significant merits including fire resistance, high strength and inexpensive erection etc. However, bolt-loosening faults frequently generate as well due to excessive vibration and impact loads. Therefore, a large number of frequency domain fault diagnosis methods based on nonlinear vibration TFs have been proposed and applied.
Quankun Li, Xingjian Jing
Chapter 11. One Extended OS@DF TF-Based Method for Rotor-Type Structures
Abstract
Considering difficulties in manufacture and assembly, rotor systems like aircraft engines and power generators are frequently divided into several subsystems including compressors, shafts and turbines etc.
Quankun Li, Xingjian Jing
Chapter 12. Summary and Overview
Abstract
As a result, this book provides an updated and comprehensive summary about recent advances of fault diagnosis methods utilising SOOS TFs and OS@DF TFs, which overcome limitations in existing methods and provide much more local nonlinear features as well as sensitive fault indicators.
Quankun Li, Xingjian Jing
Backmatter
Metadata
Title
Frequency Domain Nonlinear Vibration Features for Fault Diagnosis in Complex Structures
Authors
Quankun Li
Xingjian Jing
Copyright Year
2025
Publisher
Springer Nature Singapore
Electronic ISBN
978-981-9617-02-9
Print ISBN
978-981-9617-01-2
DOI
https://doi.org/10.1007/978-981-96-1702-9

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