Nonlinear Random Vibration
Nonlinear Random Vibration

Author: Cho W.S. To

Publisher: CRC Press

Published: 2000-01-01

Total Pages: 268

ISBN-13: 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

Published: 2011-08-10

Total Pages: 314

ISBN-13: 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.

Vibration of Strongly Nonlinear Discontinuous Systems
Vibration of Strongly Nonlinear Discontinuous Systems

Author: V.I. Babitsky

Publisher: Springer Science & Business Media

Published: 2012-11-02

Total Pages: 415

ISBN-13: 3540444882

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This monograph addresses the systematic representation of the methods of analysis developed by the authors as applied to such systems. Particular features of dynamic processes in such systems are studied. Special attention is given to an analysis of different resonant phenomena taking unusual and diverse forms.

Random Vibrations
Random Vibrations

Author: Loren D. Lutes

Publisher: Butterworth-Heinemann

Published: 2004

Total Pages: 652

ISBN-13: 0750677651

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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.

Random Vibration and Statistical Linearization
Random Vibration and Statistical Linearization

Author: John Brian Roberts

Publisher: Courier Corporation

Published: 2003-12-09

Total Pages: 466

ISBN-13: 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.

Vibro-impact Dynamics
Vibro-impact Dynamics

Author: Albert C. J. Luo

Publisher: John Wiley & Sons

Published: 2013-01-25

Total Pages: 269

ISBN-13: 1118402901

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Presents a systematic view of vibro-impact dynamics based on the nonlinear dynamics analysis Comprehensive understanding of any vibro-impact system is critically impeded by the lack of analytical tools viable for properly characterizing grazing bifurcation. The authors establish vibro-impact dynamics as a subset of the theory of discontinuous systems, thus enabling all vibro-impact systems to be explored and characterized for applications. Vibro-impact Dynamics presents an original theoretical way of analyzing the behavior of vibro-impact dynamics that can be extended to discontinuous dynamics. All topics are logically integrated to allow for vibro-impact dynamics, the central theme, to be presented. It provides a unified treatment on the topic with a sound theoretical base that is applicable to both continuous and discrete systems Vibro-impact Dynamics: Presents mapping dynamics to determine bifurcation and chaos in vibro-impact systems Offers two simple vibro-impact systems with comprehensive physical interpretation of complex motions Uses the theory for discontinuous dynamical systems on time-varying domains, to investigate the Fermi-oscillator Essential reading for graduate students, university professors, researchers and scientists in mechanical engineering.