This major textbook provides comprehensive coverage of the analytical tools required to determine the dynamic response of structures. The topics covered include: formulation of the equations of motion for single- as well as multi-degree-of-freedom discrete systems using the principles of both vector mechanics and analytical mechanics; free vibration response; determination of frequencies and mode shapes; forced vibration response to harmonic and general forcing functions; dynamic analysis of continuous systems;and wave propagation analysis.
The key assets of the book include comprehensive coverage of both the traditional and state-of-the-art numerical techniques of response analysis, such as the analysis by numerical integration of the equations of motion and analysis through frequency domain. The large number of illustrative examples and exercise problems are of great assistance in improving clarity and enhancing reader comprehension.
The text aims to benefit students and engineers in the civil, mechanical and aerospace sectors.
Preface
Chapter 1 : Introduction
Part I
Chapter 2 : Formulation of The Equations of Motion : Single-Degree-of-Freedom Systems
Chapter 3 : Formulation of The Equations of Motion : Multi-Degree-of-Freedom Systems
Chapter 4 : Principles of Analytical Mechanics
Part II
Chapter 5 : Free Vibration Response : Single-Degree-of-Freedom System
Chapter 6 : Forced Harmonic Vibrations : Single-Degree-of-Freedom System
Chapter 7 : Response to General Dynamic Loading and Transient Respone
Chapter 8 : Analysis of Single-Degree-of-Freedom Systems : Approximate and Numerical Methods
Chapter 9 : Analysis of Response in The Frequency Domain
Part III
Chapter 10 : Free Vibration Response : Multi-Degree-of-Freedom System
Chapter 11 : Numerical Solution of The Eigneproblem
Chapter 12 : Forced Dynamic Response : Multi-Degree-of-Freedom Systems
Chapter 13 : Analysis of Multi-Degree-of-Freedom Systems : Approximate and Numerical Methods
Part IV
Chapter 14 : Formulation of The Equations of Motion : Continuous Systems
Chapter 15 : Continuous Systems : Free Vibration Response
Chapter 16 : Continuous Systems : Forced-Vibration Response
Chapter 17 : Wave Propagation Analysis
Part V
Chapter 18 : Finite Element Method
Chapter 19 : Component Mode Synthesis
Chapter 20 : Analysis of Nonlinear Response
Answers to Selected Problems
Index