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Author: V. D. Potapov
Publisher: Wiley-Blackwell
ISBN:
Category : Mathematics
Languages : en
Pages : 296
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Book Description
Stability of Stochastic Elastic and Viscoelastic Systems V. D. Potapov Moscow State University of Railway Communication, Russia Numerous structures assembled by civil and mechanical engineers are driven by external forces randomly changing in time and space. These forces include, for example, seismic and wind loads, transport loads and acoustic pressures. The parameters of these forces cannot be precisely measured, but they may have critical effects on fundamental structural characteristics, and hence have significant design implications. Materials used in construction also have an effect on structural behaviour. This book proposes a new approach for the analysis of the stability of different stochastic systems using both analytic (including asymptotic) and numerical methods. For example, constitutive equations used for the description of viscoelastic materials, which can be employed to take account of internal friction in an elastic material are examined, offering new opportunities for analysing the behaviour of real structures. Problems addressed include: * stability of columns and rods subjected to longitudinal random stationary forces * stability of plates in a gas flow subjected to in-plane loads, which are assumed as random stationary processes * stability of cylindrical shells and panels under the action of longitudinal random stationary loads * behaviour of flexible rods, plates and cylindrical panels, subjected to random stationary force and loads, under finite deflections Furthermore, this text develops methods for estimating critical loads, resulting in an accessible and unified account of reliability theory and techniques as applied to engineering structures. All postgraduate students and practitioners of mechanical engineering (applied mechanics), civil engineering (structural mechanics), applied mathematics, and designers of mechanical and civil structures will find this not only a valuable, but an extremely useful book.
Author: V. D. Potapov
Publisher: Wiley-Blackwell
ISBN:
Category : Mathematics
Languages : en
Pages : 296
Get Book Here
Book Description
Stability of Stochastic Elastic and Viscoelastic Systems V. D. Potapov Moscow State University of Railway Communication, Russia Numerous structures assembled by civil and mechanical engineers are driven by external forces randomly changing in time and space. These forces include, for example, seismic and wind loads, transport loads and acoustic pressures. The parameters of these forces cannot be precisely measured, but they may have critical effects on fundamental structural characteristics, and hence have significant design implications. Materials used in construction also have an effect on structural behaviour. This book proposes a new approach for the analysis of the stability of different stochastic systems using both analytic (including asymptotic) and numerical methods. For example, constitutive equations used for the description of viscoelastic materials, which can be employed to take account of internal friction in an elastic material are examined, offering new opportunities for analysing the behaviour of real structures. Problems addressed include: * stability of columns and rods subjected to longitudinal random stationary forces * stability of plates in a gas flow subjected to in-plane loads, which are assumed as random stationary processes * stability of cylindrical shells and panels under the action of longitudinal random stationary loads * behaviour of flexible rods, plates and cylindrical panels, subjected to random stationary force and loads, under finite deflections Furthermore, this text develops methods for estimating critical loads, resulting in an accessible and unified account of reliability theory and techniques as applied to engineering structures. All postgraduate students and practitioners of mechanical engineering (applied mechanics), civil engineering (structural mechanics), applied mathematics, and designers of mechanical and civil structures will find this not only a valuable, but an extremely useful book.
Author: Qinghua Huang
Publisher:
ISBN: 9780494432792
Category :
Languages : en
Pages : 128
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Book Description
Many new materials used in mechanical and structural engineering exhibit viscoelastic properties, that is, stress depends on the past time history of strain, and vice versa. Investigating the behaviour of viscoelastic materials under dynamical loads is of great theoretical and practical importance for structural design, vibration reduction, and other engineering applications. The objective of this thesis is to find how viscoelasticity affects the stability of structures under random loads. The time history dependence of viscoelasticity renders the equations of motion of viscoelastic bodies in the form of integro-partial differential equations, which are more difficult to study compared to those of elastic bodies. The method of stochastic averaging, which has been proved to be an effective tool in the study of dynamical systems, is applied to simplify some single degree-of-freedom linear viscoelastic systems parametrically excited by wide-band noise and narrow-band noise. The solutions of the averaged systems are diffusion processes characterized by Itô differential equations. Therefore, the stability of the solutions is determined in the sense of the moment Lyapunov exponents and Lyapunov exponents, which characterize the moment stability and the almost-sure stability, respectively. The moment Lyapunov exponents may be obtained by solving the averaged Itô equations directly, or by solving the eigenvalue problems governing the moment Lyapunov exponents. Monte Carlo simulation is applied to study the behaviour of stochastic dynamical systems numerically. Estimating the moments of solutions through sample average may lead to erroneous results under the circumstances that systems exhibit large deviations. An improved algorithm for simulating the moment Lyapunov exponents of linear homogeneous stochastic systems is presented. Under certain conditions, the logarithm of norm of a solution converges weakly to normal distribution after suitably normalized. This property, along with the results of Komlós-Major-Tusnády for sums of independent random variables, are applied to construct the algorithm. The numerical results obtained from the improved algorithm are used to determine the accuracy of the approximate analytical moment Lyapunov exponents obtained from the averaged systems. In this way the effectiveness of the stochastic averaging method is confirmed. The world is essentially nonlinear. A single degree-of-freedom viscoelastic system with cubic nonlinearity under wide-band noise excitation is studied in this thesis. The approximated nonlinear stochastic system is obtained through the stochastic averaging method. Stability and bifurcation properties of the averaged system are verified by numerical simulation. The existence of nonlinearity makes the system stable in one of the two stationary states.
Author: S. J. Britvec
Publisher: Elsevier
ISBN: 1483185176
Category : Technology & Engineering
Languages : en
Pages : 480
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Book Description
The Stability of Elastic Systems presents some of the most important aspects of the stability and the non-linear behavior at finite deformations of several types of structural elastic systems, which are important for a more precise understanding of the static performance of such systems. This book is divided into eight chapters that aim to complete parts of classical, eigenvalue, theories of buckling and to demonstrate the important role played by finite deformations in the theoretical analyses of stability. Other chapters discuss the properties of prismatic members and the post-buckling behavior of plane frameworks. A chapter describes the elastic buckling and stability of statically determinate space frameworks. The remaining chapters cover the elastic buckling of statically indeterminate pin-jointed systems and space frameworks. These chapters also examine the non-conservative aspects of structural systems. This book will be of great value to practicing engineers and students.
Author: C. A. Mota Soares
Publisher: Springer Science & Business Media
ISBN: 1402053703
Category : Technology & Engineering
Languages : en
Pages : 861
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Book Description
III European Conference on Computational Mechanics: Solids, Structures and Coupled Problem in Engineering Computational Mechanics in Solid, Structures and Coupled Problems in Engineering is today a mature science with applications to major industrial projects. This book contains the edited version of the Abstracts of Plenary and Keynote Lectures and Papers, and a companion CD-ROM with the full-length papers, presented at the III European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering (ECCM-2006), held in the National Laboratory of Civil Engineering, Lisbon, Portugal 5th - 8th June 2006. The book reflects the state-of-art of Computation Mechanics in Solids, Structures and Coupled Problems in Engineering and it includes contributions by the world most active researchers in this field.
Author: Zhenhan Yao
Publisher: 清华大学出版社有限公司
ISBN: 9787302093428
Category : Engineering design
Languages : en
Pages : 608
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author:
Publisher: ScholarlyEditions
ISBN: 1464963975
Category : Technology & Engineering
Languages : en
Pages : 1922
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Book Description
Issues in Structural and Materials Engineering: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Structural and Materials Engineering. The editors have built Issues in Structural and Materials Engineering: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Structural and Materials Engineering in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Structural and Materials Engineering: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
![Stochastic Stability of Viscoelastic Dynamical Systems [microform] PDF](https://books.google.com/books/content/images/frontcover/WcChwgEACAAJ?fife=w80-h100)
Author: Noh Mukhtar Abdelrahman
Publisher: National Library of Canada = Bibliothèque nationale du Canada
ISBN: 9780612772151
Category :
Languages : en
Pages : 576
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Book Description
Author: A.D. Drozdov
Publisher: Elsevier
ISBN: 1483290522
Category : Mathematics
Languages : en
Pages : 623
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Book Description
The subject of stability problems for viscoelastic solids and elements of structures, with which this book is concerned, has been the focus of attention in the past three decades. This has been due to the wide inculcation of viscoelastic materials, especially polymers and plastics, in industry. Up-to-date studies in viscoelasticity are published partially in purely mathematical journals, partially in merely applied ones, and as a consequence, they remain unknown to many interested specialists. Stability in Viscoelasticity fills the gap between engineers and mathematicians and converges theoretical and applied directions of investigations. All chapters contain extensive bibliographies of both purely mathematical and engineering works on stability problems. The bibliography includes a number of works in Russian which are practically inaccessible to the Western reader.
Author: I︠A︡kov Gilelevich Panovko
Publisher:
ISBN:
Category : Elastic solids
Languages : en
Pages : 436
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Book Description
Problems such as jumps in elastic systems, problems of aeroelasticity, problems of frictional self-oscillations, and self-synchronization are discussed. The stability of equilibrium shapes of elastic systems is examined. Problems of oscillations of linear systems are discussed, including systems with a fractional number of degrees of freedom as well as free oscillations of a cantilever in the field of centrifugal forces.
