Front Cover -- Modal Analysis -- Copyright Page -- Contents -- Preface -- Chapter 1. Overview of modal analysis -- 1.1 Introduction -- 1.2 What is modal analysis? -- 1.3 What is modal testing? -- 1.4 Applications of modal analysis -- 1.5 Practical applications of modal analysis -- 1.6 Historical development of modal analysis -- Chapter 2. Mathematics for modal analysis -- 2.1 Basic matrix concepts -- 2.2 Linear simultaneous equations -- 2.3 Matrix inversion -- 2.4 Decomposition of a matrix -- 2.5 The matrix eigenvalue problem -- 2.6 Derivatives of matrices -- 2.7 Perturbation -- 2.8 The least-squares method -- 2.9 Partial fraction expansion -- 2.10 Laplace transform and transfer function -- 2.11 Fourier series and Fourier transform -- 2.12 Variable separation method for partial differential equations -- 2.13 Poles and zeros of a polynomial function -- 2.14 State-space concept -- 2.15 Time series analysis -- 2.16 The z-transform -- Chapter 3. Basic vibration theory -- 3.1 Modelling of a vibration problem using mathematical models -- 3.2 Basic concepts of vibration -- 3.3 Free vibration of an SDoF system -- 3.4 Harmonic vibration of an SDoF system -- 3.5 Vibration of an SDoF system due to an arbitrary force -- 3.6 Free and harmonically forced vibration of an MDoF system -- 3.7 Energy approach -- 3.8 Vibration of continuous systems -- Chapter 4. Modal analysis theory of an SDoF dynamic system -- 4.1 Frequency response functions of an SDoF system -- 4.2 Graphical display of a frequency response function -- 4.3 Properties of the FRF of an SDoF system -- Chapter 5. Modal analysis of an undamped MDoF system -- 5.1 Normal modes and orthogonality of an undamped MDoF system -- 5.2 Frequency response functions of an undamped MDoF system -- 5.3 Mass-normalized modes and modal model of an undamped MDoF system.

5.4 Frequency response functions and the modal model -- 5.5 Asymptote properties of FRFs of an undamped MDoF system -- 5.6 Other forms of orthogonality properties of an undamped MDoF system -- 5.7 Harmonic response of an undamped MDoF system using FRFs -- 5.8 Anti-resonances and minima of an FRF -- Chapter 6. Modal analysis of a damped MDoF system -- 6.1 Proportional damping models -- 6.2 Non-proportional viscous damping model -- 6.3 Non-proportional structural damping model -- 6.4 Mass-normalized modes of a damped MDoF system -- 6.5 Frequency response functions of a damped MDoF system -- 6.6 Time response of a damped MDoF system -- 6.7 Forced normal modes of a damped MDoF system -- 6.8 Remarks on complex modes -- Chapter 7. Frequency response function measurement -- 7.1 Introduction -- 7.2 A general measurement set-up -- 7.3 Preparation of the test structure -- 7.4 Selection of excitation forces -- 7.5 Different estimates of an FRF and effects of noise -- 7.6 Two incompletenesses of measured data -- 7.7 Initial assessment of measured FRF data -- Chapter 8. Modal analysis methods - frequency domain -- 8.1 Introduction -- 8.2 Detection of vibration modes from measured FRF data -- 8.3 Derivation of modal data from FRF data - SDoF methods -- 8.4 Derivation of modal data from FRF data - MDoF methods -- Chapter 9. Modal analysis methods - time domain -- 9.1 Least-squares time domain method -- 9.2 Ibrahim time domain (ITD) method -- 9.3 Random decrement method -- 9.4 ARMA time series method -- 9.5 Least-squares complex exponential (LSCE) method -- 9.6 Summary of time domain modal analysis -- Chapter 10. Multi-input multi-output modal analysis methods -- 10.1 Introduction -- 10.2 Estimation of FRFs for MIMO testing -- 10.3 Frequency domain poly-reference modal analysis method -- 10.4 Time domain global modal analysis method.

10.5 Eigensystem realization algorithm method -- Chapter 11. Local structural modification -- 11.1 The objectives of structural modification -- 11.2 Direct and inverse problems -- 11.3 Modal properties after structural modification - reanalysis -- 11.4 Local structural modification by mass and stiffness changes -- 11.5 Local structural modification by physical parameter changes -- 11.6 Optimization of structural dynamic characteristics -- Chapter 12. System identification using neural network -- 12.1 Introduction -- 12.2 Neural network model -- 12.3 BP network and its algorithm -- 12.4 Application of neural network in nonlinear system identification -- 12.5 Examples of using neural network for system identification -- Chapter 13. Applications of modal analysis on real structures -- 13.1 Introduction -- 13.2 Modal analysis of a car chassis -- 13.3 Modal analysis of a lathe -- 13.4 Modal analysis of a shaper -- 13.5 Modal analysis of a combustion locomotive structure -- 13.6 Modal analysis of a power generator -- 13.7 Modal analysis of a flat flood gate -- 13.8 Modal analysis used for stability diagnosis -- 13.9 Modal analysis used for stump quality check -- 13.10 Modal analysis of ancient bronze bell -- 13.11 Modal analysis of bus roll cage structure for optimum rollover design -- Index.