Vibration with Control

An advanced look at vibration analysis with a focus on active vibration suppression 

As modern devices, from cell phones to airplanes, become lighter and more flexible, vibration suppression and analysis becomes more critical. Vibration with Control, 2nd Edition includes modelling, analysis and testing methods. New topics include metastructures and the use of piezoelectric materials, and numerical methods are also discussed.  All material is placed on a firm mathematical footing by introducing concepts from linear algebra (matrix theory) and applied functional analysis when required.

Key features:

Combines vibration modelling and analysis with active control to provide concepts for effective vibration suppression. Introduces the use of piezoelectric materials for vibration sensing and suppression. Provides a unique blend of practical and theoretical developments. Examines nonlinear as well as linear vibration analysis. Provides Matlab instructions for solving problems. Contains examples and problems. PowerPoint Presentation materials and digital solutions manual available for instructors.

Vibration with Control, 2nd Edition is an ideal reference and textbook for graduate students in mechanical, aerospace and structural engineering, as well as researchers and practitioners in the field.

Preface 000

About the Companion Website 000

1 Single Degree of Freedom Systems 000

1.1 Introduction 000

1.2 Spring–Mass System 000

1.3 Spring–Mass–Damper System 000

1.4 Forced Response 000

1.5 Transfer Functions and Frequency Methods 000

1.6 Complex Representation and Impedance 000

1.7 Measurement and Testing 000

1.8 Stability 000

1.9 Design and Control of Vibrations 000

1.10 Nonlinear Vibrations 000

1.11 Computing and Simulation in Matlab 000

Notes 000

References 000

Problems 000

2 Lumped Parameter Models 000

2.1 Introduction 000

2.2 Modeling 000

2.3 Classifications of Systems 000

2.4 Feedback Control Systems 000

2.5 Examples 000

2.6 Experimental Models 000

2.7 Nonlinear Models and Equilibrium 000

Notes 000

References 000

Problems 000

3 Matrices and The Free Response 000

3.1 Introduction 000

3.2 Eigenvalues and Eigenvectors 000

3.3 Natural Frequencies and Mode Shapes 000

Notes 000

References 000

Problems 000

4 Stability 000

4.1 Introduction 000

4.2 Lyapunov Stability 000

4.3 Conservative Systems 000

4.4 Systems with Damping 000

4.5 Semidefinite Damping 000

Notes 000

References 000

Problems 000

5 Forced Response of Lumped Parameter Systems 000

5.1 Introduction 000

5.2 Response via State Space Methods 000

5.3 Decoupling Conditions and Modal Analysis 000

Notes 000

References 000

Problems 000

A Comments on Units 000

B Supplementary Mathematics 000

Index 000

Daniel J. Inman received his Ph.D. from Michigan State University in Mechanical Engineering in 1980 and is now Chair of the Department of Aerospace Engineering at the University of Michigan, as well as the C. L. Kelly Johnson Collegiate Professor. Since 1980, he has published eight books (on vibration, energy harvesting, control, statics, and dynamics), eight software manuals, 20 book chapters, over 350 journal papers and 600 proceedings papers, given 62 keynote or plenary lectures, graduated 62 Ph.D. students, and supervised more than 75 MS degrees.  He works in the area of applying smart structures to solve aerospace engineering problems, including: energy harvesting, structural health monitoring, vibration suppression and morphing aircraft.  He is a Fellow of AIAA, ASME, IIAV, SEM and AAM.