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Stochastic Dynamic Stiffness Matrix Method
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Book Synopsis Stochastic Dynamic Stiffness Matrix Method by : Sayan Gupta
Download or read book Stochastic Dynamic Stiffness Matrix Method written by Sayan Gupta and published by LAP Lambert Academic Publishing. This book was released on 2009-08 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains the developments of methods and tools to deal with structural uncertainties in the analysis of vibrating structures. This study was carried out to gain insight into the behavior of randomly parametered dynamical systems and to evolve computational tools to assess the reliability of large scale engineering structures. The formulation for the derivation of the stochastic dynamic stiffness matrix for a general curved Timoshenko beam element is presented. Subsequently, the method is extended to study the mean and variance of the stationary response of built-up structures when excited by stationary stochastic forces.
Book Synopsis Vibration Analysis Of Structures Built Up Of Randomly Inhomogeneous Curved And Straight Beams Using Stochastic Dynamic Stiffness Matrix Method by :
Download or read book Vibration Analysis Of Structures Built Up Of Randomly Inhomogeneous Curved And Straight Beams Using Stochastic Dynamic Stiffness Matrix Method written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainties in load and system properties play a significant role in reliability analysis of vibrating structural systems. The subject of random vibrations has evolved over the last few decades to deal with uncertainties in external loads. A well developed body of literature now exists which documents the status of this subject. Studies on the influƯence of system property uncertainties on reliability of vibrating structures is, however, of more recent origin. Currently, the problem of dynamic response characterization of sysƯtems with parameter uncertainties has emerged as a subject of intensive research. The motivation for this research activity arises from the need for a more accurate assessƯment of the safety of important and high cost structures like nuclear plant installations, satellites and long span bridges. The importance of the problem also lies in understandƯing phenomena like mode localization in nearly periodic structures and deviant system behaviour at high frequencies. It is now well established that these phenomena are strongly influenced by spatial imperfections in the vibrating systems. Design codes, as of now, are unable to systematically address the influence of scatter and uncertainties. Therefore, there is a need to develop robust design algorithms based on the probabilistic description of the uncertainties, leading to safer, better and less over-killed designs. Analysis of structures with parameter uncertainties is wrought with diffiƯculties, which primarily arise because the response variables are nonlinearly related to the stochastic system parameters; this being true even when structures are idealized to display linear material and deformation characteristics. The problem is further comƯpounded when nonlinear structural behaviour is included in the analysis. The analysis of systems with parameter uncertainties involves modeling of random fields for the system parameters, discretization of these random fields, solutions of stochastic diff.
Book Synopsis IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics by : S Gummadi
Download or read book IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics written by S Gummadi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity and stochastic structural dynamics is of common interest to engineers and applied scientists belonging to many disciplines. Recent research in this area has been concentrated on the response and stability of nonlinear mechanical and structural systems subjected to random escitation. Simultaneously the focus of research has also been directed towards understanding intrinsic nonlinear phenomena like bifurcation and chaos in deterministic systems. These problems demand a high degree of sophistication in the analytical and numerical approaches. At the same time they arise from considerations of nonlinear system response to turbulence, earthquacke, wind, wave and guidancy excitations. The topic thus attracts votaries of both analytical rigour and practical applications. This books gives important and latest developments in the field presenting in a coherent fashion the research findings of leading international groups working in the area of nonlinear random vibration and chaos.
Book Synopsis Mechanical Vibration: Where Do We Stand? by : Isaac Elishakoff
Download or read book Mechanical Vibration: Where Do We Stand? written by Isaac Elishakoff and published by Springer Science & Business Media. This book was released on 2007-12-12 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the world’s leading researchers on various topics of linear, nonlinear, and stochastic mechanical vibrations, this work gives an authoritative overview of the classic yet still very modern subject of mechanical vibrations. It examines the most important contributions to the field made in the past decade, offering a critical and comprehensive portrait of the subject from various complementary perspectives.
Book Synopsis Stochastic Dynamics of Structures by : Abdelkhalak El Hami
Download or read book Stochastic Dynamics of Structures written by Abdelkhalak El Hami and published by John Wiley & Sons. This book was released on 2016-12-27 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the general study of the dynamics of mechanical structures with consideration of uncertainties. The goal is to get the appropriate forms of a part in minimizing a given criterion. In all fields of structural mechanics, the impact of good design of a room is very important to its strength, its life and its use in service. The development of the engineer's art requires considerable effort to constantly improve structural design techniques.
Book Synopsis Linearization Methods for Stochastic Dynamic Systems by : Leslaw Socha
Download or read book Linearization Methods for Stochastic Dynamic Systems written by Leslaw Socha and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.
Book Synopsis Stochastic Structural Dynamics by : T. Ariaratnam
Download or read book Stochastic Structural Dynamics written by T. Ariaratnam and published by CRC Press. This book was released on 2020-12-18 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computational Stochastic Mechanics by : P.D. Spanos
Download or read book Computational Stochastic Mechanics written by P.D. Spanos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computational Methods in Stochastic Dynamics by : Manolis Papadrakakis
Download or read book Computational Methods in Stochastic Dynamics written by Manolis Papadrakakis and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the dawn of the 21st century, computational stochastic dynamics is an emerging research frontier. This book focuses on advanced computational methods and software tools which can highly assist in tackling complex problems in stochastic dynamic/seismic analysis and design of structures. The book is primarily intended for researchers and post-graduate students in the fields of computational mechanics and stochastic structural dynamics. Nevertheless, practice engineers as well could benefit from it as most code provisions tend to incorporate probabilistic concepts in the analysis and design of structures. The book addresses mathematical and numerical issues in stochastic structural dynamics and connects them to real-world applications. It consists of 16 chapters dealing with recent advances in a wide range of related topics (dynamic response variability and reliability of stochastic systems, risk assessment, stochastic simulation of earthquake ground motions, efficient solvers for the analysis of stochastic systems, dynamic stability, stochastic modelling of heterogeneous materials). Numerical examples demonstrating the significance of the proposed methods are presented in each chapter.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1993 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Dynamics of Marine Structures by : Arvid Naess
Download or read book Stochastic Dynamics of Marine Structures written by Arvid Naess and published by Cambridge University Press. This book was released on 2013 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: For students and professionals, this covers theory and methods for stochastic modelling and analysis of marine structures under environmental loads.
Book Synopsis Response Analysis of Distributed Mass Systems with Load Factor Approach and Dynamic Stiffness Matrix Method by : Chaoying Luo
Download or read book Response Analysis of Distributed Mass Systems with Load Factor Approach and Dynamic Stiffness Matrix Method written by Chaoying Luo and published by . This book was released on 1988 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Random Matrix Method by : Donald Huntington
Download or read book The Random Matrix Method written by Donald Huntington and published by . This book was released on 1997 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems of engineering interest involve linear dynamic systems with random loading and random properties which may or may not vary in time; these systems are said to undergo random parametric vibration. Reliability methods, and other approaches using a full probabilistic description of the problem, are not capable of handling time dependent random properties unless the variation can be expressed in terms of a few random variables. On the other hand, response statistics of systems in random parametric vibration are often useful to designers and analysts. However, current approaches which could be used to compute these response statistics are slow, inaccurate, or unfeasible. This work offers a new statistical approach to obtain response statistics of linear dynamic systems in random parametric vibration. This approach, called the random matrix method, is a distant cousin to an existing Taylor-expansion perturbation approach, but is faster, more efficient, more accurate, and more stochastically stable; it is also superior to Monte Carlo approaches. The random matrix method first discretizes the problem, so that the equations of motion can be expressed as a random matrix equation. Statistics of an inverse matrix are obtained using a Neumann expansion, and response statistics can be obtained from the statistics of the load and the inverse matrix. This method is capable of analysis in either the frequency or time domain and can handle both stationary and nonstationary load and properties. Three different problems with time-dependent properties will be analyzed by the random matrix method and by Monte Carlo techniques for comparison. First, response statistics will be obtained for a generic single degree of freedom oscillator with stationary stiffness and load. Then, the ride comfort of a car, a multiple degree of freedom system with stationary tire stiffness, will be investigated. Finally, a fatigue damage analysis of a light aircraft's landing gear will be conducted; note that this problem involves a single degree of freedom system with nonstationary random damping and load. In all cases, the magnitude of random property effects on response will be examined, to see if random properties need to be taken into account for these systems.
Book Synopsis Stochastic Dynamic Response Analysis and Performance-Based Seismic Safety Evaluation for High Concrete Faced Rockfill Dams by : Bin Xu
Download or read book Stochastic Dynamic Response Analysis and Performance-Based Seismic Safety Evaluation for High Concrete Faced Rockfill Dams written by Bin Xu and published by Springer Nature. This book was released on with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics by : A. Naess
Download or read book IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics written by A. Naess and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: The IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics, held in Trondheim July 3-7, 1995, was the eighth of a series of IUTAM sponsored symposia which focus on the application of stochastic methods in mechanics. The previous meetings took place in Coventry, UK (1972), Sout'hampton, UK (1976), FrankfurtjOder, Germany (1982), Stockholm, Sweden (1984), Innsbruckjlgls, Austria (1987), Turin, Italy (1991) and San Antonio, Texas (1993). The symposium provided an extraordinary opportunity for scholars to meet and discuss recent advances in stochastic mechanics. The participants represented a wide range of expertise, from pure theoreticians to people primarily oriented toward applications. A significant achievement of the symposium was the very extensive discussions taking place over the whole range from highly theoretical questions to practical engineering applications. Several presentations also clearly demonstrated the substantial progress that has been achieved in recent years in terms of developing and implement ing stochastic analysis techniques for mechanical engineering systems. This aspect was further underpinned by specially invited extended lectures on computational stochastic mechanics, engineering applications of stochastic mechanics, and nonlinear active control. The symposium also reflected the very active and high-quality research taking place in the field of stochastic stability. Ten presentations were given on this topic ofa total of47 papers. A main conclusion that can be drawn from the proceedings of this symposium is that stochastic mechanics as a subject has reached great depth and width in both methodology and applicability.
Book Synopsis Recent Advances in Structural Engineering by :
Download or read book Recent Advances in Structural Engineering written by and published by Universities Press. This book was released on 2005-02 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains state-of-the-art review articles on specific research areas in the civil engineering discipline-the areas include geotechnical engineering, hydraulics and water resources engineering, and structural engineering. The articles are written by invited authors who are currently active at the international level in their respective research fields.
Book Synopsis Journal of the Indian Institute of Science by : Indian Institute of Science, Bangalore
Download or read book Journal of the Indian Institute of Science written by Indian Institute of Science, Bangalore and published by . This book was released on 2000 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt:
