Structural Dynamics

Table of Contents
Introduction to Dynamic Systems
What Is Dynamics and Why Is It Important?
Basic Definitions
Describing Oscillatory Motion
Dynamic Properties of Physical Systems
Dynamic Loads
Key Points
Tutorial Problems

Single-Degree-Of-Freedom Systems
Introduction
Equation of Motion
Free Vibration
Response to Dynamic Loads
Transfer Functions and Block Diagrams
Key Points
Tutorial Problems

Multi-Degree-Of-Freedom Systems
Introduction
Equations of Motion
Free Vibration of MDOF Systems
Vibration Analysis of DOF Systems
Response of MDOF Systems to Dynamic Loads
Key Points
Tutorial Problems

Continuous Systems
Introduction
Vibrations of Beams
Equivalent Single-Degree-Of-Freedom Systems
Key Points
Tutorial Problems

Non-Linear Dynamics
Introduction
Non-Linearity in Structural Properties
Time-Stepping Algorithms
Approximate Treatment of Non-Linearity
Key Points
Tutorial Problems

Fourier Analysis and Random Vibrations
Introduction
Properties of Random Variables and Processes
Autocorrelation
Fourier Analysis
Power Spectral Density
Impulse Response and Transfer Function
Key Points
Tutorial Problems

Appendices

Background Mathematics

Further Reading