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Parametric Random Vibration

Parametric Random Vibration
Author: Raouf A. Ibrahim
Publisher: Courier Dover Publications
Total Pages: 354
Release: 2008-01-11
Genre: Science
ISBN: 0486462625

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This systematic treatment examines linear and nonlinear dynamical systems subject to parametric random vibrations. It formulates stochastic stability theorems and analytical techniques for determining random response of nonlinear systems. 1985 edition.


Random Vibration and Statistical Linearization

Random Vibration and Statistical Linearization
Author: John Brian Roberts
Publisher: Courier Corporation
Total Pages: 486
Release: 2003-12-09
Genre: Technology & Engineering
ISBN: 9780486432403

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This self-contained volume explains the general method of statistical linearization and its use in solving random vibration problems. Numerous examples show advanced undergraduate and graduate students many practical applications. 1990 edition.


Random Vibration and Statistical Linearization

Random Vibration and Statistical Linearization
Author: John Brian Roberts
Publisher: Courier Corporation
Total Pages: 466
Release: 2003-12-09
Genre: Technology & Engineering
ISBN: 0486432408

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This self-contained volume explains the general method of statistical linearization and its use in solving random vibration problems. Numerous examples show advanced undergraduate and graduate students many practical applications. 1990 edition.


Nonlinear Random Vibration

Nonlinear Random Vibration
Author: Cho W.S. To
Publisher: CRC Press
Total Pages: 268
Release: 2000-01-01
Genre: Technology & Engineering
ISBN: 9789026516375

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This is a systematic presentation of several classes of analytical techniques in non-linear random vibration. The book also includes a concise treatment of Markovian and non-Markovian solutions of non-linear differential equations.


Nonlinear Random Vibration, Second Edition

Nonlinear Random Vibration, Second Edition
Author: Cho W.S. To
Publisher: CRC Press
Total Pages: 314
Release: 2011-08-10
Genre: Technology & Engineering
ISBN: 0415898978

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This second edition of the book, Nonlinear Random Vibration: Analytical Techniques and Applications, expands on the original edition with additional detailed steps in various places in the text. It is a first systematic presentation on the subject. Its features include: • a concise treatment of Markovian and non- Markovian solutions of nonlinear stochastic differential equations, • exact solutions of Fokker-Planck-Kolmogorov equations, • methods of statistical linearization, • statistical nonlinearization techniques, • methods of stochastic averaging, • truncated hierarchy techniques, and • an appendix on probability theory. A special feature is its incorporation of detailed steps in many examples of engineering applications. Targeted audience: Graduates, research scientists and engineers in mechanical, aerospace, civil and environmental (earthquake, wind and transportation), automobile, naval, architectural, and mining engineering.


Random vibrations of elastic systems

Random vibrations of elastic systems
Author: V.V. Bolotin
Publisher: Springer Science & Business Media
Total Pages: 477
Release: 2013-04-17
Genre: Technology & Engineering
ISBN: 9401728429

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The subject of random vibrations of elastic systems has gained, over the past decades, great importance, specifically due to its relevance to technical problems in hydro- and aero-mechanics. Such problems involve aircraft, rockets and oil-drilling platforms; elastic vibrations of structures caused by acoustic radiation of a jet stream and by seismic disturbances must also be included. Appli cations of the theory of random vibrations are indeed numerous and the development of this theory poses a challenge to mathematicians, mechanicists and engineers. Therefore, a book on random vibrations by a leading authority such as Dr. V.V. Bolotin must be very welcome to anybody working in this field. It is not surprising that efforts were soon made to have the book translated into English. With pleasure I acknowledge the co-operation of the very competent translater, I Shenkman; of Mrs. C. Jones, who typeJ the first draft; and of Th. Brunsting, P. Keskikiikonen and R. Piche, who read it and suggested where required, corrections and changes. I express my gratitude to Martinus Nijhoff Publishers BV for entrust ing me with the task of editing the English translation, and to F.J. van Drunen, publishers of N. Nijhoff Publishers BV, who so kindly supported my endeavours. Special acknowledgement is due to Mrs. L. Strouth, Solid Mechanics Division, University of Waterloo, for her competent and efficient preparation of the final manuscript.


Introduction to Random Vibrations

Introduction to Random Vibrations
Author: N. C. Nigam
Publisher: MIT Press (MA)
Total Pages: 368
Release: 1983
Genre: Random vibration
ISBN:

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Introduction to Random Vibrations presents a brief review of probability theory, a concise treatment of random variables and random processes, and a comprehensive exposition of the theory of random vibrations.


Mechanical Vibration and Shock Analysis, Random Vibration

Mechanical Vibration and Shock Analysis, Random Vibration
Author: Christian Lalanne
Publisher: John Wiley & Sons
Total Pages: 479
Release: 2013-03-04
Genre: Technology & Engineering
ISBN: 1118618998

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Mechanical Vibration and Shock Analysis, Second Edition Volume 3: Random Vibration The 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.


Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells

Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells
Author: Isaac Elishakoff
Publisher: Springer Nature
Total Pages: 356
Release: 2020-04-11
Genre: Technology & Engineering
ISBN: 3030403947

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This volume explains the dramatic effect of cross-correlations in forming the structural response of aircraft in turbulent excitation, ships in rough seas, cars on irregular roads, and other dynamic regimes. It brings into sharp focus the dramatic effect of cross correlations often neglected due to the analytical difficulty of their evaluation. Veteran author Professor Isaac Elishakoff illustrates how neglect of cross correlations could result in underestimation of the response by tens or hundreds of percentages the effect of the random vibrations of structures’ main elements, including beams, plates, and shells.


Random Vibrations

Random Vibrations
Author: Loren D. Lutes
Publisher: Elsevier
Total Pages: 650
Release: 2004-01-24
Genre: Technology & Engineering
ISBN: 0080470033

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The topic of Random Vibrations is the behavior of structural and mechanical systems when they are subjected to unpredictable, or random, vibrations. These vibrations may arise from natural phenomena such as earthquakes or wind, or from human-controlled causes such as the stresses placed on aircraft at takeoff and landing. Study and mastery of this topic enables engineers to design and maintain structures capable of withstanding random vibrations, thereby protecting human life. Random Vibrations will lead readers in a user-friendly fashion to a thorough understanding of vibrations of linear and nonlinear systems that undergo stochastic—random—excitation. Provides over 150 worked out example problems and, along with over 225 exercises, illustrates concepts with true-to-life engineering design problems Offers intuitive explanations of concepts within a context of mathematical rigor and relatively advanced analysis techniques. Essential for self-study by practicing engineers, and for instruction in the classroom.