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Stochastic Analysis of Structural and Mechanical Vibrations

Stochastic Analysis of Structural and Mechanical Vibrations PDF Author: Loren D. Lutes
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 536

Book Description
With the aim of stating the fundamental principles and relationships of structural and mechanical vibrations, this guide focuses on the determination of response levels for dynamical systems excited by forces that can be modeled as stochastic processes. It concentrates material in the beginning of the text, with introductions to the fundamentals of stochastic modeling and vibration problems to acquaint students with applications. There are discussions on progressive topics which are the subject of ongoing research, including state-space analysis, nonlinear dynamics, and fatigue damage; the time history implications of bandwidth, with situations varying from narrowband to white noise; time domain integration techniques which provide viable alternatives to the calculus of residues; and an emphasis on time domain interpretations throughout. It includes a number of worked examples to illustrate the modelling of physical problems as well as the proper application of theoretical solutions.

Stochastic Analysis of Structural and Mechanical Vibrations

Stochastic Analysis of Structural and Mechanical Vibrations PDF Author: Loren D. Lutes
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 536

Book Description
With the aim of stating the fundamental principles and relationships of structural and mechanical vibrations, this guide focuses on the determination of response levels for dynamical systems excited by forces that can be modeled as stochastic processes. It concentrates material in the beginning of the text, with introductions to the fundamentals of stochastic modeling and vibration problems to acquaint students with applications. There are discussions on progressive topics which are the subject of ongoing research, including state-space analysis, nonlinear dynamics, and fatigue damage; the time history implications of bandwidth, with situations varying from narrowband to white noise; time domain integration techniques which provide viable alternatives to the calculus of residues; and an emphasis on time domain interpretations throughout. It includes a number of worked examples to illustrate the modelling of physical problems as well as the proper application of theoretical solutions.

Random Vibrations

Random Vibrations PDF Author: Loren D. Lutes
Publisher: Butterworth-Heinemann
ISBN: 0750677651
Category : Science
Languages : en
Pages : 652

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.

Applied Structural and Mechanical Vibrations

Applied Structural and Mechanical Vibrations PDF Author: Paolo L. Gatti
Publisher: CRC Press
ISBN: 0415565782
Category : Architecture
Languages : en
Pages : 670

Book Description
The second edition of Applied Structural and Mechanical Vibrations: Theory and Methods continues the first edition’s dual focus on the mathematical theory and the practical aspects of engineering vibrations measurement and analysis. This book emphasises the physical concepts, brings together theory and practice, and includes a number of worked-out examples of varying difficulty and an extensive list of references. What’s New in the Second Edition: Adds new material on response spectra Includes revised chapters on modal analysis and on probability and statistics Introduces new material on stochastic processes and random vibrations The book explores the theory and methods of engineering vibrations. By also addressing the measurement and analysis of vibrations in real-world applications, it provides and explains the fundamental concepts that form the common background of disciplines such as structural dynamics, mechanical, aerospace, automotive, earthquake, and civil engineering. Applied Structural and Mechanical Vibrations: Theory and Methods presents the material in order of increasing complexity. It introduces the simplest physical systems capable of vibratory motion in the fundamental chapters, and then moves on to a detailed study of the free and forced vibration response of more complex systems. It also explains some of the most important approximate methods and experimental techniques used to model and analyze these systems. With respect to the first edition, all the material has been revised and updated, making it a superb reference for advanced students and professionals working in the field.

Applied Structural and Mechanical Vibrations

Applied Structural and Mechanical Vibrations PDF Author: Paolo L. Gatti
Publisher: CRC Press
ISBN: 0203014553
Category : Architecture
Languages : en
Pages : 843

Book Description
The fundamental concepts, ideas and methods underlying all vibration phenomena are explained and illustrated in this book. The principles of classical linear vibration theory are brought together with vibration measurement, signal processing and random vibration for application to vibration problems in all areas of engineering. The book pays partic

Stochastic Structural Dynamics

Stochastic Structural Dynamics PDF Author: T. Ariaratnam
Publisher: CRC Press
ISBN: 1000152979
Category : Mathematics
Languages : en
Pages : 408

Book Description
This book contains a series of original contributions in the area of Stochastic Dynamics, which demonstrates the impact of Mike Lin's research and teaching in the area of random vibration and structural dynamics.

Stochastic Processes and Random Vibrations

Stochastic Processes and Random Vibrations PDF Author: Júlíus Sólnes
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 458

Book Description
Beginning with the basics of probability and an overview of stochastic process, this book goes on to explore their engineering applications: random vibration and system analysis. It addresses extreme conditions such as distribution of large vibration peaks, probabilities of exceeding certain limits, and fatigue. Includes numerous tested examples: earthquake risk analysis, distribution of extreme wind speeds, analysis of structural reliability, earthquake response of tall multi-storey structure and wind loading of tall towers.

Stochastic Dynamics of Structures

Stochastic Dynamics of Structures PDF Author: Jie Li
Publisher: John Wiley & Sons
ISBN: 0470824255
Category : Technology & Engineering
Languages : en
Pages : 426

Book Description
In Stochastic Dynamics of Structures, Li and Chen present a unified view of the theory and techniques for stochastic dynamics analysis, prediction of reliability, and system control of structures within the innovative theoretical framework of physical stochastic systems. The authors outline the fundamental concepts of random variables, stochastic process and random field, and orthogonal expansion of random functions. Readers will gain insight into core concepts such as stochastic process models for typical dynamic excitations of structures, stochastic finite element, and random vibration analysis. Li and Chen also cover advanced topics, including the theory of and elaborate numerical methods for probability density evolution analysis of stochastic dynamical systems, reliability-based design, and performance control of structures. Stochastic Dynamics of Structures presents techniques for researchers and graduate students in a wide variety of engineering fields: civil engineering, mechanical engineering, aerospace and aeronautics, marine and offshore engineering, ship engineering, and applied mechanics. Practicing engineers will benefit from the concise review of random vibration theory and the new methods introduced in the later chapters. "The book is a valuable contribution to the continuing development of the field of stochastic structural dynamics, including the recent discoveries and developments by the authors of the probability density evolution method (PDEM) and its applications to the assessment of the dynamic reliability and control of complex structures through the equivalent extreme-value distribution." —A. H-S. Ang, NAE, Hon. Mem. ASCE, Research Professor, University of California, Irvine, USA "The authors have made a concerted effort to present a responsible and even holistic account of modern stochastic dynamics. Beyond the traditional concepts, they also discuss theoretical tools of recent currency such as the Karhunen-Loeve expansion, evolutionary power spectra, etc. The theoretical developments are properly supplemented by examples from earthquake, wind, and ocean engineering. The book is integrated by also comprising several useful appendices, and an exhaustive list of references; it will be an indispensable tool for students, researchers, and practitioners endeavoring in its thematic field." —Pol Spanos, NAE, Ryon Chair in Engineering, Rice University, Houston, USA

Random Vibration of Mechanical and Structural Systems

Random Vibration of Mechanical and Structural Systems PDF Author: T. T. Soong
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 424

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.

Computer-Based Analysis of the Stochastic Stability of Mechanical Structures Driven by White and Colored Noise

Computer-Based Analysis of the Stochastic Stability of Mechanical Structures Driven by White and Colored Noise PDF Author: Aydin Azizi
Publisher: Springer
ISBN: 9811362181
Category : Technology & Engineering
Languages : en
Pages : 93

Book Description
This book provides a concise introduction to the behavior of mechanical structures and testing their stochastic stability under the influence of noise. It explains the physical effects of noise and in particular the concept of Gaussian white noise. In closing, the book explains how to model the effects of noise on mechanical structures, and how to nullify / compensate for it by designing effective controllers.

Mechanical Vibration

Mechanical Vibration PDF Author: Haym Benaroya
Publisher: CRC Press
ISBN: 1498753019
Category : Technology & Engineering
Languages : en
Pages : 602

Book Description
Mechanical Vibration: Analysis, Uncertainties, and Control, Fourth Edition addresses the principles and application of vibration theory. Equations for modeling vibrating systems are explained, and MATLAB® is referenced as an analysis tool. The Fourth Edition adds more coverage of damping, new case studies, and development of the control aspects in vibration analysis. A MATLAB appendix has also been added to help students with computational analysis. This work includes example problems and explanatory figures, biographies of renowned contributors, and access to a website providing supplementary resources.