Buildings, bridges and tunnels are continuously exposed to forces of nature such as wind, waves, earthquakes and even traffic. Because these forces are hard to predict and model, it is also hard to predict how these structures respond. This book introduces a way of modelling forces and responses using stochastic systems, providing a method of statistical analysis where predictions are impossible. Including topics such as stochastic processes, stochastic vibration theory of linear structures, reliability theory of dynamic structures and Monte Carlo techniques, this book explains stochastic structural dynamics and how to apply it to modern structures.