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Statistical Dynamics and Reliability Theory for Mechanical Structures

  • Book
  • © 2003

Overview

Authors:
  1. V. A. Svetlitsky

    1. The Department of Applied Mechanics, Bauman Moscow State Technical University, Moscow, Russia

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  • 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 book series: Foundations of Engineering Mechanics (FOUNDATIONS)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • V. A. Svetlitsky
    Pages 1-9

  3. Fundamentals of the Probability Theory and the Theory of Random Processes

    • V. A. Svetlitsky
    Pages 11-43

  4. Non-Stationary Random Functions (Processes)

    • V. A. Svetlitsky
    Pages 45-71

  5. Stationary Random Functions (Processes)

    • V. A. Svetlitsky
    Pages 73-100

  6. Fundamentals of the Markov Processes Theory

    • V. A. Svetlitsky
    Pages 101-129

  7. Random Vibrations of Systems with One Degree of Freedom

    • V. A. Svetlitsky
    Pages 131-196

  8. Random Vibrations of Systems with Finite Number of Degrees of Freedom

    • V. A. Svetlitsky
    Pages 197-258

  9. Random Vibrations of Strings; Longitudinal and Torsional Vibrations of Straight Rods

    • V. A. Svetlitsky
    Pages 259-278

  10. Random Vibrations of Rods

    • V. A. Svetlitsky
    Pages 279-311

  11. Fundamentals of Reliability Theory

    • V. A. Svetlitsky
    Pages 313-347

  12. Random Processes at the Action of Random Functions Bounded in Absolute Value

    • V. A. Svetlitsky
    Pages 349-429

  13. Back Matter

    Pages 431-448
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Keywords

About this book

The monograph text is based on lectures delivered by author during many years for students of Applied Iechanics Department of Bauman Ioscow State Technical University. The monograph includes also analitical results of scientific research obtained in collaboration with industry. Progress in developing new equipment has called for a better understand­ ing of the physical peculiarities pertaining to the action of designed structures in real conditions. This is necessary for increasing the accuracy of the analysis and making these structures more reliable. It has been found that classical determined perturbations are not principal and that determinism-based methods of classical mechanics prove insufficient for understanding and explaining physical effects that arise at the operation of instruments located on moving objects, the vibration of rocket engines, the motion of a vehicle, and the action of wind and seismic loads. Therefore the necessity arose for devising a new physical model to analyze these dynamic processes and, in particular, for creating a new mathematical apparatus that would allow us to take into account non-deterministic external excitations. The theory of random processes that had been developed well enough as applied to problems of radio engineering and automatic control, where the effect produced by random excitations appeared to be commensurable with that of deterministic excitations and where the ignoring of the random ex­ citations would bring about incorrect results, became such an apparatus.

Authors and Affiliations

  • The Department of Applied Mechanics, Bauman Moscow State Technical University, Moscow, Russia

    V. A. Svetlitsky

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