© 2003

Statistical Dynamics and Reliability Theory for Mechanical Structures


  • To estimate reliability, durability, and lifetime of constructions and machines is an everyday design task.

  • Here, theory as well as its practical application is presented from an engineering point-of-view


Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Table of contents

  1. Front Matter
    Pages I-XII
  2. V. A. Svetlitsky
    Pages 1-9
  3. V. A. Svetlitsky
    Pages 45-71
  4. V. A. Svetlitsky
    Pages 73-100
  5. V. A. Svetlitsky
    Pages 101-129
  6. V. A. Svetlitsky
    Pages 279-311
  7. V. A. Svetlitsky
    Pages 313-347
  8. Back Matter
    Pages 431-448

About this book


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.


Markov Probability theory Random variable Transformation Vibration calculus correlation design differential equation numerical methods

Authors and affiliations

  1. 1.The Department of Applied MechanicsBauman Moscow State Technical UniversityMoscowRussia

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