Stability of Stochastic Elastic and Viscoelastic Systems

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Stability of Stochastic Elastic and Viscoelastic Systems V. D.Potapov Moscow State University of Railway Communication, RussiaNumerous structures assembled by civil and mechanical engineers aredriven 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 theseforces cannot be precisely measured, but they may have criticaleffects on fundamental structural characteristics, and hence havesignificant design implications. Materials used in constructionalso have an effect on structural behaviour. This book proposes anew approach for the analysis of the stability of differentstochastic systems using both analytic (including asymptotic) andnumerical methods. For example, constitutive equations used for thedescription of viscoelastic materials, which can be employed totake account of internal friction in an elastic material areexamined, offering new opportunities for analysing the behaviour ofreal structures. Problems addressed include: * stability of columns and rods subjected to longitudinal randomstationary 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 oflongitudinal random stationary loads * behaviour of flexible rods, plates and cylindrical panels,subjected to random stationary force and loads, under finitedeflections Furthermore, this text develops methods for estimating criticalloads, resulting in an accessible and unified account ofreliability theory and techniques as applied to engineeringstructures. All postgraduate students and practitioners ofmechanical engineering (applied mechanics), civil engineering(structural mechanics), applied mathematics, and designers ofmechanical and civil structures will find this not only a valuable,but an extremely useful book.

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V. D. Potapov

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Bauingenieur- u. Bauwesen Civil Engineering & Construction Elastizität Maschinenbau Maschinenbau - Entwurf Mechanical Engineering Mechanical Engineering - Design Structures Tragwerke Viskoelastizität

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