Modal analysis

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 civil and structural engineering, biomechanical problems, space structures, acoustic instruments and nuclear engineering. The only book to focus on the theory of modal analysis before discussing applications A relatively new technique being utilized more and more in recent years which is now filtering through to undergraduate courses Leading expert in the field

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 civil and st

Includes bibliographical references and index

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 vibratio…