Reliability of Randomly Excited Hysteretic Structures

A. GENERAL REMARKS During the last century, probabilistic methods for design and analysis of engineering systems have assumed a prominent place as an engineering tool.

Author: B.F.Jr. Spencer

Publisher: Springer Science & Business Media

ISBN: 9783642828638

Category: Technology & Engineering

Page: 142

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A. GENERAL REMARKS During the last century, probabilistic methods for design and analysis of engineering systems have assumed a prominent place as an engineering tool. No longer do engineers naively believe that all problems can be analyzed with deterministic methods; but rather, it has been recognized that, due to unc- tainties in the model and the excitation, it may only be possible to describe the state of a system in terms of some random measure. Thus, with the need to address safety and design issues adequately and simultaneously to minimize the cost of a system, much attention has been given to the development of probabilistic criteria which can be applied in a systematic manner [l]t. These techniques allow for uncertainties in the parameters of the model as well as for uncertainties in both the static and dynamic loadings to be considered and therefore give a better measure of the reliability of a system. Widespread application of probabilistic methods can be found in disciplines ranging from civil, mechanical and electrical engineering to biology, economics and political science.
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Mathematical Models for Structural Reliability Analysis

[ 35 ] Spencer , B.F. , Reliability of Randomly Excited Hysteretic Structures , Lecture Notes in Engineering , Springer - Verlag , Berlin , 1986 . [ 36 ] Roberts , J.B. and Spanos , P.D. , Stochastic Averaging : an Approximate Method ...

Author: Fabio Casciati

Publisher: CRC Press

ISBN: 084939631X

Category: Mathematics

Page: 386

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Mathematical Models for Structural Reliability Analysis offers mathematical models for describing load and material properties in solving structural engineering problems. Examples are provided, demonstrating how the models are implemented, and the limitations of the models are clearly stated. Analytical solutions are also discussed, and methods are clearly distinguished from models. The authors explain both theoretical models and practical applications in a clear, concise, and readable fashion.
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Advances in Reliability and Optimization of Structural Systems

S.R.K. Nielsen , J.D. Sørensen , P. Thoft - Christensen : Lifetime Reliability Estimate and Extreme Permanent Deformations of Randomly Excited Elasto - Plastic Structures " . Reliability Engineering , Vol . 3 , 1983 , pp .

Author: Dan M. Frangopol

Publisher: CRC Press

ISBN: 0415399017

Category: Technology & Engineering

Page: 320

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This volume contains thirty-one papers presented at the Twelfth Scientific Meeting of the IFIP Working Group on Reliability and Optimization of Structural Systems which took place in Aalborg, Denmark, from May 22-25, 2005. The Working Group Conference was organized by the IFIP (International Federation for Information Processing) Working Group 7.5 of the Technical Committee on Modelling and Optimization. The purpose of the Working Group is to promote modern structural system reliability and optimization theory and its applications, to stimulate research, development and application of structural system reliability and optimization theory, to assist and advance research and development in these fields, to further the dissemination and exchange of information on reliability and optimization of structural systems, and to encourage education in structural system reliability and optimization theory.
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Handbook of Reliability Engineering

Life Testing and Reliability Estimation . Wiley - Eastern , New Delhi . Spencer , B. F. ( 1986 ) . Reliability of Randomly Excited Hysteretic Structures . Springer - Verlag , New York . Sundararajan , C. ( 1991 ) .

Author: Igor A. Ushakov

Publisher: John Wiley & Sons

ISBN: 0471571733

Category: Technology & Engineering

Page: 734

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Handbook for the computation and empirical estimation of reliability. Introduces an incomparable volume of easily applicable, cutting-edge results originated by prominent Russian reliability specialists. Completely covers probabilistic reliability, statistical reliability and optimization with simple, step-by-step, numerical examples. Offers a broad range of applications in engineering, operations research, cost analysis and project management. Explores reliability software extensively. Includes appendices with summary reviews of mathematical and statistical fundamentals.
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Nonlinear Stochastic Mechanics

CONCLUSIONS A general method for calculating the response statistics of nonlinear dynamic systems excited by white noise or ... Spencer, Jr., B. F. Reliability of Randomly Excited Hysteretic Structures, Lecture Notes in Engineering, ...

Author: Nicola Bellomo

Publisher: Springer Science & Business Media

ISBN: 9783642847899

Category: Science

Page: 552

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The Symposium, held in Torino (lSI, Villa Gualino) July 1-5, 1991 is the sixth of a series of IUTAM-Symposia on the application of stochastic analysis to continuum and discrete mechanics. The previous one, held in Innsbruck (1987), was mainly concentrated on qual itative and quantitative analysis of stochastic dynamical systems as well as on bifurcation and transition to chaos of deterministic systems. This Symposium concentrated on fundamental aspects (stochastic analysis and mathe matical methods), on specific applications in various branches of mechanics, engineering and applied sciences as well as on related fields as analysis of large systems, system identifica tion, earthquake prediction. Numerical methods suitable to provide quantitative results, say stochastic finite elements, approximation of probability distribution and direct integration of differential equations have also been the object of interesting presentations. Specific topics of the sessions have been: Engineering Applications, Equivalent Lineariza tion of Discrete Stochastic Systems, Fatigue and Life Estimation, Fluid Dynamics, Numerical Methods, Random Vibration, Reliability Analysis, Stochastic Differential Equations, System Identification, Stochastic Control. We are indebted to the IUTAM Bureau for having promoted and sponsored this Sympo sium and the Scientific Committee for having collaborated to the selection of participants and lecturers as well as to a prompt reviewing of the papers submitted for publication into these proceedings. A special thank is due to Frank Kozin: the organization of this meeting was for him ';ery important; he missed the meeting but his organizer ability was present.
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Computational Stochastic Mechanics

Roberts, J. B. First-Passage Probabilities for Randomly Excited Systems: Diffusion Methods, Probabilistic Engineering Mechanics, Vol. 1, No. 2, pp. 6681, 1986. Spencer, Jr., B. F. Reliability of Randomly Excited Hysteretic Structures, ...

Author: P.D. Spanos

Publisher: Springer Science & Business Media

ISBN: 9789401136921

Category: Technology & Engineering

Page: 898

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Over a period of several years the field of probabilistic mechanics and com putational mechanics have progressed vigorously, but independently. With the advent of powerful computational hardware and the development of novel mechanical techniques, the field of stochastic mechanics has progressed in such a manner that the inherent uncertainty of quite complicated systems can be addressed. The first International Conference on Computational Stochastic Mechanics was convened in Corfu in September 1991 in an ef fort to provide a forum for the exchanging of ideas on the current status of computational methods as applied to stochastic mechanics and for identi fying needs for further research. The Conference covered both theoretical techniques and practical applications. The Conference also celebrated the 60th anniversary of the birthday of Dr. Masanobu Shinozuka, the Sollenberger Professor of Civil Engineering at Princeton University, whose work has contributed in such a great measure to the development of Computational Stochastic Mechanics. A brief sum mary of his career and achievements are given in the Dedication. This book comprises some of the papers presented at the meeting and cov ers sections on Theoretical Reliability Analysis; Damage Analysis; Applied Reliability Analysis; Theoretical Random Vibrations; Stochastic Finite Ele ment Concept; Fatigue and Fracture; Monte Carlo Simulations; Earthquake Engineering Applications; Materials; Applied Random Vibrations; Applied Stochastic Finite Element Analysis, and Flow Related Applications and Chaotic Dynamics. The Editors hope that the book will be a valuable contribution to the grow ing literature covering the field of Computational Stochastic Mechanics.
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Systems with Hysteresis

[132] N. Higham, Accuracy and Stability of Numerical Methods, SIAM, Philadelphia, Pennsylvania (2002). [133] B. F. Spencer, Reliability of Randomly Excited Hysteretic Structures, SpringerVerlag, Berlin, 1986.

Author: Fayçal Ikhouane

Publisher: John Wiley & Sons

ISBN: 0470513195

Category: Technology & Engineering

Page: 222

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Hysterisis is a system property that is fundamental to a range of engineering applications as the components of systems with hysterisis are able to react differently to different forces applied to them. Control theory is used to model these complex systems and cause them to behave in the desired manner; the Bouc-Wen model is a well-known semi-physical model that is used extensively to describe the hysterisis of systems in the areas of smart structures and civil engineering. The Bouc-Wen model for system hysterisis has increased in popularity due to its capability of capturing in an analytical form a range of shapes of hysteretic cycles that match the behaviour of a wide class of hysteretic systems. “Systems with Hysterisis: Analysis, Identification and Control using the Bouc-Wen Model” deals with the analysis, identification and control of these systems, and offers a comprehensive and self-contained framework for the study of the Bouc-Wen model. Includes the latest techniques for modelling smart structures and materials Provides a rigorous mathematical treatment of the subject along with practical comments, numerical solutions and a case study of magentorheological (MR) dampers. Begins by analysing the compatibility of the Bouc-Wen model with the laws of physics, and continues to cover the relationship between the model parameters and hysterisis loop, identification of the model parameters and control of systems that include a hysteretic part described by the Bouc-Wen model. Includes case studies covering the identification and control of smart material transducers for use in automotive, aerospace and structural control Systems with Hysterisis: Analysis, Identification and Control using the Bouc-Wen Model offers an invaluable source of ideas, concepts and insights for engineers, researchers, lecturers and senior/ postgraduate students involved in the research, design and development of smart structures and related areas within civil and mechanical engineering. It will also be of interest to readers involved in the wider disciplines of electrical & control engineering, applied mathematics, applied physics and material science.
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Optimum Design of Structures

Lecture Notes in Engineering Edited by C.A. Brebbia and S.A. Orszag Vol.21: B. F. Spencer, Jr. Reliability of Randomly Excited Hysteretic Structures XIII, 138 pages. 1986. Vol. 22: A. Gupta, R. P. Singh Fatigue Behaviour of Offshore ...

Author: Lahbib Chibani

Publisher: Springer Science & Business Media

ISBN: 9783642838903

Category: Technology & Engineering

Page: 154

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This book presents the integrated approach of analysis and optimal design of structures. This approach, which is more convenient than the so-called nested approach, has the difficulty of generating a large optimization problem. To overcome this problem a methodology of decomposition by multilevel is developed. This technique, which is also suitable for implementation on parallel processing computers, has the advantage of reducing the size of the optimization problem generated. The geometric programming for both equality and inequality constraints is used in the optimization.
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Computational Tensor Analysis of Shell Structures

Lecture Notes in Engineering Edited by C.A. Brebbia and S.A. Orszag Vol.21: B. F. Spencer, Jr. Reliability of Randomly Excited Hysteretic Structures XIII, 138 pages. 1986. Vol.22: A. Gupta, R. P. Singh Fatigue Behaviour of Offshore ...

Author: Steve Naomis

Publisher: Springer Science & Business Media

ISBN: 9783642842436

Category: Technology & Engineering

Page: 309

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This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading conditions. The strain-displacement equations for thin shells of arbitrary geometry are developed. These relationships are expressed in general curvilinear coordinates and are formulated entirely in the framework of tensor calculus. The resulting theory is not restricted to shell structures characterized by any particular geometric form, loading or boundary conditions. The complete displacement and strain equations developed by Flugge are approximated by the curvilinear finite difference method and are applied to computing the natural frequencies and mode shapes of general thin shells. This approach enables both the displacement components and geometric properties of the shell to be approximated numerically and accurately. The selection of an appropriate displacement field to approximate the deformation of the shell within each finite difference mesh is discussed in detail. In addition, comparisons are made between the use of second and third-order finite difference interpolation meshes.
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Dynamic Analysis of Non Linear Structures by the Method of Statistical Quadratization

Lecture Notes in Engineering Edited by C.A. Brebbia and S.A. Orszag Vol.21: B. F. Spencer, Jr. Reliability of Randomly Excited Hysteretic Structures XIII, 138 pages. 1986. Vol.22: A. Gupta, R. P. Singh Fatigue Behaviour of Offshore ...

Author: M.G. Donley

Publisher: Springer Science & Business Media

ISBN: 9783642467158

Category: Technology & Engineering

Page: 172

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1. 1 Introduction As offshore oil production moves into deeper water, compliant structural systems are becoming increasingly important. Examples of this type of structure are tension leg platfonns (TLP's), guyed tower platfonns, compliant tower platfonns, and floating production systems. The common feature of these systems, which distinguishes them from conventional jacket platfonns, is that dynamic amplification is minimized by designing the surge and sway natural frequencies to be lower than the predominant frequencies of the wave spectrum. Conventional jacket platfonns, on the other hand, are designed to have high stiffness so that the natural frequencies are higher than the wave frequencies. At deeper water depths, however, it becomes uneconomical to build a platfonn with high enough stiffness. Thus, the switch is made to the other side of the wave spectrum. The low natural frequency of a compliant platfonn is achieved by designing systems which inherently have low stiffness. Consequently, the maximum horizontal excursions of these systems can be quite large. The low natural frequency characteristic of compliant systems creates new analytical challenges for engineers. This is because geometric stiffness and hydrodynamic force nonlinearities can cause significant resonance responses in the surge and sway modes, even though the natural frequencies of these modes are outside the wave spectrum frequencies. High frequency resonance responses in other modes, such as the pitch mode of a TLP, are also possible.
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