Author: Cho W.S. To
Publisher: CRC Press
ISBN: 9789026516375
Category : Technology & Engineering
Languages : en
Pages : 268
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Book Description
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.
Author: Cho W.S. To
Publisher: CRC Press
ISBN: 1466512849
Category : Technology & Engineering
Languages : en
Pages : 314
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Book Description
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
Author: Cho W.S. To
Publisher: CRC Press
ISBN: 0415898978
Category : Technology & Engineering
Languages : en
Pages : 314
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Book Description
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.
Author: Loren D. Lutes
Publisher: Butterworth-Heinemann
ISBN: 0750677651
Category : Science
Languages : en
Pages : 652
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Book Description
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.
Author: Raouf A. Ibrahim
Publisher: Courier Dover Publications
ISBN: 0486462625
Category : Science
Languages : en
Pages : 354
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Book Description
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.
Author: T. T. Soong
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 424
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Book Description
Addressing random vibration of mechanical and structural systems, this work offers techniques for determining probabilistic characteristics of the response of dynamic systems subjected to random loads or inputs and for calculating probabilities related to system performance or reliability.
Author: John Brian Roberts
Publisher: Courier Corporation
ISBN: 9780486432403
Category : Technology & Engineering
Languages : en
Pages : 486
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Book Description
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.
Author: Malte Krack
Publisher: Springer
ISBN: 3030140237
Category : Technology & Engineering
Languages : en
Pages : 167
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Book Description
This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.
Author: Giora Maymon
Publisher: AIAA
ISBN: 9781600864308
Category : Random vibration
Languages : en
Pages : 286
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Book Description
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.
Author: Zongyuan Yang
Publisher: Wiley-Interscience
ISBN:
Category : Random vibration
Languages : en
Pages : 328
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Book Description
A basic text emphasizing engineering concepts and methods of analysis used in the design of structures subjected to dynamic environmental loads, such as earthquake ground motions, ocean surface wave forces and severe storm wind pressures. Approaches randomness or uncertainty in loads through probabilistic and statistical methods using simple engineering terms with a minimum amount of advanced mathematics. Among the topics discussed are several new areas of interest to engineers: random load modelling, time dependent random loads, continuous structural systems, and nonlinear structures. Includes numerous engineering examples and exercises.
