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.
TABLE OF CONTENTS
PREFACE
1 INTRODUCTION
1.1 Objectives of the Study of Structural Dynamics
1.2 Importance of Vibration Analysis
1.3 Nature of Exciting Forces
1.4 Mathematical Modeling of Dynamic Systems
1.5 Systems of Units
1.6 Organization of the Text
PART I
2 FORMULATION OF THE EQUATIONS OF MOTION: SINGLE-DEGREE-OF-FREEDOM SYSTEMS
2.1 Introduction
2.2 Inertia Forces
2.3 Resultants of Inertia Forces on a Rigid Body
2.4 Spring Forces
2.5 Damping Forces
2.6 Principle of Virtual Displacement
2.7 Formulation of the Equations of Motion
2.8 Modeling of Multi Degree-of-Freedom Discrete Parameter System
2.9 Effect of Gravity Load
2.10 Axial Force Effect
2.11 Effect of Support Motion
3 FORMULATION OF THE EQUATIONS OF MOTION: MULTI-DEGREE-OF-FREEDOM SYSTEMS
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