Modal analysis [[electronic resource] /] / Jimin He and Zhi-Fang Fu

• Record Nr.: UNINA9910457336603321
• Autore: He Jimin
• Pubbl/distr/stampa: Oxford ; ; Boston, : Butterworth-Heinemann, 2001
• ISBN: 1-281-02202-0; 9786611022020; 0-08-051178-3
• Descrizione fisica: 1 online resource (305 p.)
• Altri autori (Persone): FuZhi-Fang
• Disciplina: 624.1
• Soggetti: Modal analysis; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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 expansion2.10 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 system3.7 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 model5.5 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 system6.7 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
• Sommario/riassunto: This book provides a detailed overview of the theory of analytical and experimental modal analysis and its applications. Modal Analysis is the processes of determining the inherent dynamic characteristics of any system and using them to formulate a mathematical model of the dynamic behavior of the system. In the past two decades it has become a major technological tool in the quest for determining, improving and optimizing dynamic characteristics of engineering structures.Its main application is in mechanical and aeronautical engineering, but it is also gaining widespread use in civi