Mechanical Vibrations Theory and Application to Structural Dynamics [Hardcover]

Mechanical Vibrations: Theory and Application to Structural Dynamics, Third Edition is a comprehensively updated new edition of the popular textbook. It presents the theory of vibrations in the context of structural analysis and covers applications in mechanical and aerospace engineering.

Key features include:

• A systematic approach to dynamic reduction and substructuring, based on duality between mechanical and admittance concepts
• An introduction to experimental modal analysis and identification methods
• An improved, more physical presentation of wave propagation phenomena
• A comprehensive presentation of current practice for solving large eigenproblems, focusing on the efficient linear solution of large, sparse and possibly singular systems
• A deeply revised description of time integration schemes, providing framework for the rigorous accuracy/stability analysis of now widely used algorithms such as HHT and Generalized-α
• Solved exercises and end of chapter homework problems
• A companion website hosting supplementary material

Foreword xiii

Preface xv

Introduction 1

Suggested Bibliography 7

1 Analytical Dynamics of Discrete Systems 13

1.1 Principle of Virtual Work for a Particle 14

1.1.1 Nonconstrained Particle 14

1.1.2 Constrained Particle 15

1.2 Extension to a System of Particles 17

1.2.1 Virtual Work Principle for N Particles 17

1.2.2 The Kinematic Constraints 18

1.2.3 Concept of Generalized Displacements 20

1.3 Hamilton’s Principle for Conservative Syl&