Statistical Dynamics and Reliability Theory for Mechanical Structures
By: by V. A. Svetlitsky
Series: Foundations of Engineering Mechanics; Foundations of engineering mechanics
Publisher: Springer Berlin Heidelberg
Published: 2003
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 446
ISBN-13: 9783642536571; 9783540458265
Subjects: Mechanics; Engineering; Applied Mechanics
Description: The theory of random processes is an integral part of the analysis and synthesis of complex engineering systems. This textbook systematically presents the fundamentals of statistical dynamics and reliability theory. The theory of Markovian processes used during the analysis of random dynamic processes in mechanical systems is described in detail. Examples are machines, instruments and structures loaded with perturbations. The reliability and lifetime of those objects depend on how properly these perturbations are taken into account. Random vibrations with finite and infinite numbers of degrees of freedom are analyzed as well as the theory and numerical methods of non-stationary processes under the conditions of statistical indeterminacy. This textbook is addressed to students and post-graduate of technical universities. It can be also useful to lecturers and mechanical engineers, including designers in different industries.
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Table of contents: title: Fundamentals of the Probability Theory and the Theory of Random Processes; title: Non-Stationary Random Functions (Processes); title: Stationary Random Functions (Processes); title: Fundamentals of the Markov Processes Theory; title: Random Vibrations of Systems with One Degree of Freedom; title: Random Vibrations of Systems with a Finite Number of Degrees of Freedom; title: Random Vibrations of Strings; Longitudinal and Torsional Vibrations of Straight Rods; title: Random Vibrations of Rods; title: Fundamentals of Reliability Theory; title: Random Processes at the Action of Random Functions Bounded in Absolute Value.