Stochastic Processes and Random Vibrations: Theory and Practice

ISBN-13: 9780471971924 / Angielski / Miękka / 1997 / 444 str.

Julius Solnes; Jzlmus Sslnes;Solnes

Opis

This text is an introduction to the world of uncertainties and to the problems of random nature and their interpretative solutions, using the stochastic analysis probability theory, in the field of civil engineering.

Spis treści

Fundamentals of Probability Calculus with Applications.

The Basic Theory of Stochastic Processes.

Random Excitation and Response of Simple Linear Systems.

Random Excursions and Failure Probabilities.

Random Excitation and Response of Multiple and Continuous Systems.

Some Fundamental Stochastic Processes.

Fourier Analysis and Data Processing.

Earthquake Hazard and Seismic Risk Analysis.

References.

Index.

Blurb

Stochastic Processes and Random Vibrations Theory and Practice Júlíus Sólnes University of Iceland, Reykjavík, Iceland This book covers the fundamental theory of stochastic processes for analysing mechanical and structural systems subject to random excitation, and also for treating random signals of a general nature with special emphasis on earthquakes and turbulent winds. Starting with basic probability calculus and the fundamental theory of stochastic processes, the author progresses onto engineering applications: systems analysis and treatment of random signals. The random excitation and response of simple mechanical systems and complex structural systems is discussed in some detail. Extreme conditions such as distribution of large vibration peaks, random excursions above certain limits and mechanical failure due to fatigue are then addressed. The text also offers a discussion of some well–known stochastic models and an introduction to signal processing and digital filters. Numerous worked examples are included: distribution of extreme wind speeds, analysis of structural reliability, earthquake response of a tall multi–storey structure, wind loading of tall towers, generation of random earthquake signals and earthquake risk analysis.