Introduction to Random Vibration and Stochastic Analysis

Chapter
Part of the Springer Series in Reliability Engineering book series (RELIABILITY)

Abstract

This chapter is included to provide basic information and essential formulation of random vibration and stochastic analysis that needed in the offshore structural analysis. It contains seven sections. The first section describes briefly random vibration and its occurrence in practice. The second section explains some definitions in the probability theory and presents their formulations that to be used in the probabilistic analysis. The third section explains calculation of probability moments of random variables and random functions. Then, commonly used probability distribution models are presented. In the fourth section, random processes, ensemble averages and expected values, stationary and ergodic processes are explained, and then differentiation of stochastic processes are summarized. In the fifth section, spectral analysis is explained with emphasis on band-limited, narrow-banded and broad-banded processes, crossing analysis and probability distribution of maxima. The sixth section presents input–output relations of stochastic processes and transfer functions. In the seventh section, some illustrative examples are provided.

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Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  • Halil Karadeniz
    • 1
  • Mehmet Polat Saka
    • 2
  • Vedat Togan
    • 3
  1. 1.Faculty of Civil Engineering and GeosciencesDelft University of TechnologyDelftThe Netherlands
  2. 2.Department of Engineering SciencesMiddle East Technical UniversityAnkaraTurkey
  3. 3.Department of Civil EngineeringKaradeniz Technical UniversityTrabzonTurkey

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