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.


Random Vibration and Statistical Linearization

Random Vibration and Statistical Linearization

Author: John Brian Roberts

Publisher: Courier Corporation

Published: 2003-12-09

Total Pages: 486

ISBN-13: 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.


Nonlinear Random Vibration

Nonlinear Random Vibration

Author: Cho W.S. To

Publisher: CRC Press

Published: 2011-08-10

Total Pages: 312

ISBN-13: 1466512849

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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


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.


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.


Some Engineering Applications in Random Vibrations & Random Structures

Some Engineering Applications in Random Vibrations & Random Structures

Author: Giora Maymon

Publisher: AIAA

Published: 1998

Total Pages: 286

ISBN-13: 9781600864308

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Annotation This text synthesizes a wealth of useful information for analyzing random vibrations and structures into one coherent body of knowledge. It takes a practical yet progressive look at two major fields related to random analysis: linear and geometrically nonlinear structures, and the behavior of random structures under random loads. System harmonics and oscillations, random functions, and the theory of random vibration are covered extensively throughout the text, which includes innovative methods for calculating the probability of failure for dynamic systems. Simplified examples demonstrate applications for daily use and present new approaches to failure analysis. The author evaluates the use of random process methods for the stochastic analysis of crack growth in detail, providing a better description of failures resulting from crack propagation. For young engineers, the book touches on finite element programs such as ANSYS and the probabilistic analysis program PROBAN, facilitating solutions to more complex problems. It also illustrates how to write a FORTRAN program to build a numerical procedure suitable for the design needs.


Parametric Random Vibration

Parametric Random Vibration

Author: Raouf A. Ibrahim

Publisher: Courier Dover Publications

Published: 2008-01-11

Total Pages: 354

ISBN-13: 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.