Mechanical Vibration and Shock Analysis, Random Vibration

by Lalanne, Christian

• ISBN13: 9781848211247
• ISBN10: 1848211244
• Edition: 2nd
• Format: Hardcover
• Copyright: 2009-07-27
• Publisher: Iste/Hermes Science Pub

Summary

Mechanical Vibration and Shock Analysis, Second EditionVolume 3: Random VibrationThe vast majority of vibrations encountered in a real-world environment are random in nature. Such vibrations are intrinsically complicated, but this volume describes a process enabling the simplification of the analysis required, and the analysis of the signal in the frequency domain. Power spectrum density is also defined, with the requisite precautions to be taken in its calculation described together with the processes (windowing, overlapping) necessary for improved results. A further complementary method, the analysis of statistical properties of the time signal, is described. This enables the distribution law of the maxima of a random Gaussian signal to be determined and simplifies calculation of fatigue damage to be made by the avoidance of the direct counting of peaks.The Mechanical Vibration and Shock Analysis five-volume series has been written with both the professional engineer and the academic in mind. Christian Lalanne explores every aspect of vibration and shock, two fundamental and extremely significant areas of mechanical engineering, from both a theoretical and practical point of view. The five volumes cover all the necessary issues in this area of mechanical engineering. The theoretical analyses are placed in the context of both the real world and the laboratory, which is essential for the development of specifications.

Table of Contents

Mechanical Vibration & Shock, Volume 3, Random Vibration, 2nd Edition

Statistical properties of a random process

Properties of random vibration in the frequency domain

RMS value of random vibration

Practical calculation of power spectral density

Statistical properties of random vibration in the time domain

Probability distribution of maxima of random vibration

Statistics of extreme values

Response of a one-degree-of-freedom linear system to random vibration

Characteristics of the response of a one-degree-of-freedom linear system to random vibration

First passage at a given level of response of a one-degree-of-freedom linear system to a random vibration

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