Download or read book Probabilistic Methods In The Theory Of Structures Strength Of Materials Random Vibrations And Random Buckling written by Elishakoff Isaac E and published by World Scientific. This book was released on 2017-03-23 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book appeared over three decades ago (Wiley-Interscience, 1983), whereas the second one saw light on the verge of new millennium (Dover, 1999). This is third, corrected and expanded edition that appears in conjunction with its companion volume Probabilistic Methods in the Theory of Structures: Complete Worked-Through Solutions. Thus, the reader is able to both get acquainted with the theoretical material and be able to master some of the problems, following Chinese dictum: I hear and I forget. I see and I remember. I do and I understand — Confucius. The main idea of the book lies in the fact that three topics: probabilistic strength of materials, random vibrations, and probabilistic buckling are presented in a single package allowing one to see the forest in between the trees. Indeed, these three topics usually are presented in separate manners, in different specialized books. Here, the reader gets a feeling of true unity of the subject at large in order to appreciate that in the end what one wants is reliability of the structure, in conjunction with its operating conditions. As the author describes in the Preface of the second edition, this book was not conceived ab initio, as a book that author strived to compose. Rather, it was forced, as it were, upon me due to two reasons. One was rather a surprising but understandable requirement in the venerable Delft University of Technology, The Netherlands to prepare the lecture notes for students with the view of reducing skyrocketing costs of acquisition of textbooks by the students. The other one was an unusually warm acceptance of the notes that the author prepared while at Delft University of Technology and later in Haifa, at the Technion-Israel Institute of Technology by the legendary engineering scientist Warner Tjardus Koiter (1914–1997). The energy necessary to prepare the second and third editions came from enthusiastic reviews that appeared in various sources. Author embraced the simplicity of exposition as the main virtue following Isaac Newton's view that "Truth is ever to be found in simplicity, and not in the multiplicity and confusion of things."
Download or read book Probabilistic Methods in the Theory of Structures written by Isaac Elishakoff and published by John Wiley & Sons. This book was released on 1983 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well-written introduction covers probability theory from two or more random variables, reliability of such multivariable structures, theory of random function, Monte Carlo methods for problems incapable of exact solution, more.
Download or read book Probabilistic Theory of Structures written by Isaac Elishakoff and published by Courier Corporation. This book was released on 2012-05-31 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practicing engineers and students of aeronautic and applied mechanics will develop a solid conceptual background in the theory of structures with this easy-to-understand introduction to probabilistic methods. No previous knowledge of the theory of probability and random processes is required. The text/reference provides a thorough overview, starting with elements of the theory of probability from two or more random variables and proceeding to an examination of the reliability of such multivariable structures. Further, it introduces the theory of random function, focusing on random vibration of single- and multi-degree-of freedom structures and continuous systems, and presents the Monte Carlo method for treating problems incapable of exact solution. Chapters 1 through 7 are suitable for a one-semester, first-level undergraduate course, while the material in chapters 8 through 11 is appropriate for the analytically minded senior and graduate student. The text can also be used for a graduate course on random vibration and buckling and as a reference by practicing engineers and research workers. Numerous examples, with illustrative figures, clarify the well-written text; and many exercises are provided with each chapter to facilitate the reader's grasp of the subject.
Download or read book Modern Trends in Structural and Solid Mechanics 2 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprised of three separate volumes presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.
Download or read book Modern Trends in Structural and Solid Mechanics 3 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This third volume is devoted to non-deterministic mechanics. Modern Trends in Structural and Solid Mechanics 3 has broad scope, covering topics such: design optimization under uncertainty, interval field approaches, convex analysis, quantum inspired topology optimization and stochastic dynamics. The book is illustrated by many applications in the field of aerospace engineering, mechanical engineering, civil engineering, biomedical engineering and automotive engineering. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.
Download or read book Stochastic Elasticity written by L. Angela Mihai and published by Springer Nature. This book was released on 2022-09-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic elasticity is a fast developing field that combines nonlinear elasticity and stochastic theories in order to significantly improve model predictions by accounting for uncertainties in the mechanical responses of materials. However, in contrast to the tremendous development of computational methods for large-scale problems, which have been proposed and implemented extensively in recent years, at the fundamental level, there is very little understanding of the uncertainties in the behaviour of elastic materials under large strains. Based on the idea that every large-scale problem starts as a small-scale data problem, this book combines fundamental aspects of finite (large-strain) elasticity and probability theories, which are prerequisites for the quantification of uncertainties in the elastic responses of soft materials. The problems treated in this book are drawn from the analytical continuum mechanics literature and incorporate random variables as basic concepts along with mechanical stresses and strains. Such problems are interesting in their own right but they are also meant to inspire further thinking about how stochastic extensions can be formulated before they can be applied to more complex physical systems.
Download or read book Modern Trends in Structural and Solid Mechanics 1 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book - comprised of three separate volumes - presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.
Download or read book Some Engineering Applications in Random Vibrations Random Structures written by Giora Maymon and published by AIAA. This book was released on 1998 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This text synthesizes a wealth of useful information for analyzing random vibrations and structures into one coherent body of knowledge. It takes a practical yet progressive look at two major fields related to random analysis: linear and geometrically nonlinear structures, and the behavior of random structures under random loads. System harmonics and oscillations, random functions, and the theory of random vibration are covered extensively throughout the text, which includes innovative methods for calculating the probability of failure for dynamic systems. Simplified examples demonstrate applications for daily use and present new approaches to failure analysis. The author evaluates the use of random process methods for the stochastic analysis of crack growth in detail, providing a better description of failures resulting from crack propagation. For young engineers, the book touches on finite element programs such as ANSYS and the probabilistic analysis program PROBAN, facilitating solutions to more complex problems. It also illustrates how to write a FORTRAN program to build a numerical procedure suitable for the design needs.
Download or read book Mechanics of Materials and Structures written by George Z. Voyiadjis and published by Elsevier. This book was released on 2013-10-22 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide range of topics in the area of mechanics of materials and structures are covered in this volume, ranging from analysis to design. There is no special emphasis on a specific area of research. The first section of the book deals with topics on the mechanics and damage of concrete. It also includes two papers on granular packing structure changes and cumulative damage in polymers. In the second part more theoretical topics in mechanics are discussed, such as shell theory and nonlinear elasticity. The following section dicusses areas dealing primarily with plasticity, viscoelasticity, and viscoplasticity. These include such topics as dynamic and cyclic plasticity. In the final section the subject is structural dynamics, including seismic analysis, composite frames and nonlinear analysis of bridges. The volume is compiled in honor of Professor Maciej P. Bieniek who has served as a teacher and researcher at several universities, and who has made many significant contributions in the evaluation, rehabilitation, and design of infrastructures.
Download or read book Probabilistic and Convex Modelling of Acoustically Excited Structures written by I. Elishakoff and published by Elsevier. This book was released on 2013-10-22 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarises the analytical techniques for predicting the response of linear structures to noise excitations generated by large propulsion power plants. Emphasis is placed on beams and plates of both single-span and multi-span configurations, common in engineering structural systems. Since the natural frequencies and the associated normal modes play a central role in the random vibration analysis of a continuous dynamical system, rather detailed discussions are devoted to their determination. Material covered in the first chapter provides a useful reference for the subsequent discussion of multi-span structures. Also included in this volume is a hybrid probabilistic and convex-uncertainty modeling approach in which the upper and lower bounds of the cross-spectral densities of the acoustic excitation are obtained on the basis of measured data. The random vibration of a structure is treated, for the first time, as an "anti-optimization" problem of finding the least favourable value of the mean-square response.
Download or read book Random Vibrations written by Paul H. Wirsching and published by Courier Corporation. This book was released on 2006-01-01 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most comprehensive text and reference available on the study of random vibrations, this book was designed for graduate students and mechanical, structural, and aerospace engineers. In addition to coverage of background topics in probability, statistics, and random processes, it develops methods for analyzing and controlling random vibrations. 1995 edition.
Download or read book Constitutive Equations for Engineering Materials written by Wai-Fah Chen and published by Elsevier. This book was released on 2013-10-22 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutive Equations for Engineering Materials, Volume 1: Elasticity and Modeling, Revised Edition focuses on theories on elasticity and plasticity of engineering materials. The book first discusses vectors and tensors. Coordinate systems, vector algebra, scalar products, vector products, transformation of coordinates, indicial notation and summation convention, and triple products are then discussed. The text also ponders on analysis of stress and strain and presents numerical analysis. The book then discusses elastic stress-strain relations. Basic assumptions; need for elastic models; isotropic linear stress-strain relations; principle of virtual work; strain energy and complementary energy density in elastic solids; and incremental relations grounded on secant moduli are described. The text also explains linear elasticity and failure criteria for concrete and non-linear elasticity and hypoelastic models for concrete. The selection further tackles soil elasticity and failure criteria. Mechanical behavior of soils; failure criteria of soils; and incremental stress-strain models based on modification of the isotropic linear elastic formulation are considered. The text is a good source of data for readers interested in studying the elasticity and plasticity of engineering materials.
Download or read book Random Vibration written by Zach Liang and published by CRC Press. This book was released on 2015-04-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on the Basic Methodologies Needed to Handle Random Processes After determining that most textbooks on random vibrations are mathematically intensive and often too difficult for students to fully digest in a single course, the authors of Random Vibration: Mechanical, Structural, and Earthquake Engineering Applications decided to revise the current standard. This text incorporates more than 20 years of research on formulating bridge design limit states. Utilizing the authors’ experience in formulating real-world failure probability-based engineering design criteria, and their discovery of relevant examples using the basic ideas and principles of random processes, the text effectively helps students readily grasp the essential concepts. It eliminates the rigorous math-intensive logic training applied in the past, greatly reduces the random process aspect, and works to change a knowledge-based course approach into a methodology-based course approach. This approach underlies the book throughout, and students are taught the fundamental methodologies of accounting for random data and random processes as well as how to apply them in engineering practice. Gain a Deeper Understanding of the Randomness in Sequences Presented in four sections, the material discusses the scope of random processes, provides an overview of random processes, highlights random vibrations, and details the application of the methodology. Relevant engineering examples, included throughout the text, equip readers with the ability to make measurements and observations, understand basic steps, validate the accuracy of dynamic analyses, and master and apply newly developed knowledge in random vibrations and corresponding system reliabilities. Comprising 11 Chapters, this text: Reviews the theory of probability and applies it from an engineering perspective Introduces basic concepts and formulas to prepare for discussions of random processes Emphasizes the essence of probability as the chance of occurrence in sample space Covers two important issues in engineering practice, the uncertainty of data and the probability of failure Explores the random processes in the time domain Explains the nature of time-varying variables by joint PDF through the Kolmogorov extension Examines random processes in the frequency domain Discusses several basic and useful models of random processes Presents a new set of statistics for random processes Employs an approach to present important processes within the context of practical engineering problems Includes the generality of dealing with randomness and the difference between random variables and processes Focuses on the topic of vibration problems Addresses the basic parameters of linear single-degree-of-freedom (SDOF) systems Stresses a new method of random process referred to as time series Details linear multi-degree-of-freedom (MDOF) systems Describes the statistical analyses of direct approach based on model decoupling of proportionally and nonproportionally-damped systems Provides materials on the applications of random processes and vibration Discusses statistical studies on random data and model identifications Describes the nonlinear phenomena and the general approach of linearization Highlights a special method of Monte Carlo simulation, and more Random Vibration: Mechanical, Structural, and Earthquake Engineering Applications effectively integrates the basic ideas, concepts, principles, and theories of random processes. This enables students to understand the basic methodology and establish their own logic to systematically handle the issues facing the theory and application of random vibrations.
Download or read book Random Vibrations written by Loren D. Lutes and published by Elsevier. This book was released on 2004-01-24 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Probabilistic Theory of Structural Dynamics written by Yu-Kweng Lin and published by . This book was released on 1976 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mechanics of Geomaterial Interfaces written by A.P.S. Selvadurai and published by Elsevier. This book was released on 1995-01-30 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of geomaterial interfaces recognizes the important influences of the interface behaviour on the performance of interfaces involving cementaceous materials such as concrete and steel, ice-structure interfaces, concrete-rock interfaces and interfaces encountered in soil reinforcement. During the past two decades, the subject of geomaterial interfaces has attracted the concerted attention of scientists and engineers both in geomechanics and applied mechanics. These efforts have been largely due to the observation that the conventional idealizations of the behaviour of interfaces between materials by frictionless contact, bonded contact, Coulomb friction or finite friction tend to omit many interesting and important influences of special relevance to geomaterials. The significant manner in which non-linear effects, dilatancy, contact degradation, hardening and softening, etc., can influence the behaviour of the interface is borne out by experimental evidence. As a result, in many instances, the response of the interface can be the governing criterion in the performance of a geomechanics problem. The primary objective of this volume is to provide a documentation of recent advances in the area of geomaterial interfaces. The volume consists of subject groupings which cover ice-structure, soil-structure and steel-concrete interfaces, mechanics of rock and concrete joints and interfaces in discrete systems.
Download or read book Advanced Theories of Hypoid Gears written by Xudong Wang and published by Elsevier. This book was released on 2013-10-22 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to develop more efficient types of gears, further investigation into the theories of engagement is necessary. Up until now most of the research work on the theories of engagement has been carried out separately on different groups, and based on individual types of profiles. This book aims at developing some universal theories, which can not only be used for all types of gears, but can also be utilized in other fields such as sculptured surfaces. The book has four characteristics: the investigations are concentrated on mismatched tooth surfaces; all the problems are dealt with from a differential geometry point of view; most theories and algorithms are universal in application; and the algorithms are easy to follow and can be used in real situations. In the process of developing the algorithms, the authors have introduced some mathematical methods which are believed to be innovative with regard to the theories of engagement known so far. A theoretical treatment is presented throughout the book, supported by numerical examples and experiments. With the computer programs listed at the end of the volume, any of the proposed methods can be easily utilized in practice. The book is intended for postgraduate students, lecturers, professors, or research staff in mechanical/manufacturing engineering, mathematics and R & D departments of research institutes and universities. It will also be useful for engineers working in the gear manufacturing sector of industry.
