Chapter 1 Introduction 1．1 Fault diagnosis significance of hydraulic system 1．2 Current research situations of fault detection and diagnosis technology 0f hydraulic system 1．3 Main research contents of this book Chapter 2 Chaotic motion characters and their applications in engineering 2．1 Research branches of engineering chaos 2．2 Definitions of chaos 2．3 Characteristics of chaotic motion 2．4 Ways leading to chaos Chapter 3 Methods for identifying chaos 3．1 Direct observing method of phase traiectory and time course of state variables 3．2 Stroboscopic sampling method 3．3 Method of Poincare surface of section 3．4 Pseudo phase space method 3．5 Method of selGpower density spectrum analysis 3．6 Lyapunov exponent analysis method 3．7 Fractal dimension analysis method Chapter 4 Periodic orbits of Duffing oscillator 4．1 Dufring equations and Melnikov methods 4．2 Elliptic functions and elliptic integrals 4．3 Conditions of chaos producing in Duffing oscillator 4．4 Existence conditions of periodic orbits in Duffing oscillator Chapter 5 Chaotic and intermittent chaotic motion of Duffing oscillator 5．1 Numerical experiment research of chaotic motion of Duffing oscillator 5．2 Intermittent chaotic motion mechanism of Duffing oscillator 5．3 Influences of noise to chaotic motion of Duffing oscillator 5．4 Comparison of intermittent chaos-based weak signal detection method with stochastic resonance phenomenon 5．5 Scheme of applying Duffirig oscillator to fault diagnosis 5．6 Virtual instrument—based weak ultrasonic signal detecting system Chapter 6 Wavelet transform and time．frequency analysis 6．1 Review on applications of wavelet analysis in signal processing 6．2 Wavelets and wavelet transform 6．3 Comparison of Fourier analysis and wavelet analysis 6．4 Windowed Fourier transform and time—frequency analysis 6．5 Wavelet transform and time-frequency analysis Chapter 7 Orthogonal multiresolution analysis and orthogonal wavelet packet analysis for signals 7．1 Orthogonal multiresolution analysis and construction of orthogonal wavelets 7．2 Orthogonal wavelet packet analysis 7．3 Signal decomposition and reconstruction 7．4 Characters of chaotic motion signal under orthogonal wavelet packet analysis 7．5 Signal singularity detection 7．6 Noise elimination in signal based on wavelet transform Chapter 8 Chaos and wavelet based fault diagnosis examples 8．1 Fault diagnosis for hydraulic pump 8．2 Fault diagnosis for sensor 8．3 Advantages of theoretical methods advanced in this book Chapter 9 Fault diagnosis system used in mechanical equipments 9．1 Structure and Fault analysis of the rolling mill 9．2 Hardware design of the diagnosis system 9．3 Software design of the diagnosis system 9．4 The experiment of the system and the results analysis References
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