Download or read book Mechanics of Non Homogeneous and Anisotropic Foundations written by B. Grigori Muravskii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although realistic soil and rock foundations reveal noticeable deviations in their properties from homogeneity and isotropy, the model of the homogeneous isotropie elastic half-space is widely used when studying static and dynamie interactions between a defonnable foundation and structures. This is explained by significant mathematieal difficulties inherent in problems conceming mechanies of anisotropie and heterogeneous elastic bodies. Solving the basic static and dynamie problems for heterogeneous and anisotropic half-spaces, such as different contact problems and problems of constructing Green's functions, has become possible in the last few decades due to the development of computer engineering techniques and numerical methods. This book contains the results of investigations in the area of statics and dynamies of heterogeneous and anisotropic foundations, carried out by the author in the last five years while working in the Faculty of Civil Engineering at Technion - Israel Institute of Technology. The book is directed at engineers and scientists in the areas of soil mechanics, soil-structures interaction, seismology and geophysics. Some characteristic features of the book are: i) Constructing (Chap.l) solutions in a general fonn for the heterogeneous (in the depth direction) transversely isotropic elastic half-space subjected to different loadings, hannonic in time. Characteristics of the given half-space have an influence on functions (of depth z and parameter k of Hankel's transfonns), which are detennined from a system of ordinary differential equations.
Download or read book Dynamics of Synchronising Systems written by R.F. Nagaev and published by Springer Science & Business Media. This book was released on 2003-01-31 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a rational scheme of analysis for the periodic and quasi-periodic solution of a broad class of problems within technical and celestial mechanics. It develops steps for the determination of sufficiently general averaged equations of motion, which have a clear physical interpretation and are valid for a broad class of weak-interaction problems in mechanics. The criteria of stability regarding stationary solutions of these equations are derived explicitly and correspond to the extremum of a special "potential" function. Much consideration is given to applications in vibrational technology, electrical engineering and quantum mechanics, and a number of results are presented that are immediately useful in engineering practice. The book is intended for mechanical engineers, physicists, as well as applied mathematicians specializing in the field of ordinary differential equations.
Download or read book The Direct Integration Method for Elastic Analysis of Nonhomogeneous Solids written by Yuriy Tokovyy and published by Cambridge Scholars Publishing. This book was released on 2021-02-01 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The direct integration method (a general approach to analysis for boundary value problems of mathematical physics with no implications for the potential functions of higher differential order) is presented in this book as a potential tool for the analysis of the elastic response of arbitrarily nonhomogeneous solids to thermal and force loadings. This method rests upon the correct integration of the local equilibrium equations, which results in an explicit relationship between the stress-tensor components and fundamental integral conditions of equilibrium for individual stresses, which can serve to assure the correctness of the solution and provide a simple verification of computational results. Making use of these relationships and conditions, which are irrespective of the material properties, allows for the reduction of the original elasticity and thermoelasticity problems for nonhomogeneous materials to integral equations of a second kind which implies the solution in a closed form. This feature makes the method efficient for the analysis of arbitrarily nonhomogeneous materials, among which the functionally graded materials are of particular interest for both academia and industry.
Download or read book Analytical Methods in Anisotropic Elasticity written by Omri Rand and published by Springer Science & Business Media. This book was released on 2007-12-25 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Comprehensive textbook/reference applies mathematical methods and modern symbolic computational tools to anisotropic elasticity * Presents unified approach to a vast diversity of structural models * State-of-the-art solutions are provided for a wide range of composite material configurations, including: 3-D anisotropic bodies, 2-D anisotropic plates, laminated and thin-walled structures
Download or read book Mechanics of Periodically Heterogeneous Structures written by L.I. Manevitch and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rigorous presentation of Mathematical Homogenization Theory is the subject of numerous publications. This book, however, is intended to fill the gap in the analytical and numerical performance of the corresponding asymptotic analysis of the static and dynamic behaviors of heterogenous systems. Numerous concrete applications to composite media, heterogeneous plates and shells are considered. A lot of details, numerical results for cell problem solutions, calculations of high-order terms of asymptotic expansions, boundary layer analysis etc., are included.
Download or read book Models and Phenomena in Fracture Mechanics written by Leonid I. Slepyan and published by Springer Science & Business Media. This book was released on 2012-11-07 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the most important results, methods, and open questions, this book describes and compares advanced models in fracture mechanics. The author introduces the required mathematical technique, mainly the theory of analytical functions, from scratch.
Download or read book THEORY OF ELASTICITY AND FRACTURE MECHANICS written by UKADGAONKER, VIJAY G. and published by PHI Learning Pvt. Ltd.. This book was released on 2015-09-27 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily intended for the postgraduate students of mechanical, civil and other engineering branches, this book covers both theory of elasticity and fracture mechanics in a single volume. It provides the essential fundamental knowledge of the subject matter with solutions that are required in engineering practice and design. Besides, it also teaches students to apply the methods of theory of elasticity in technical calculations on the basis of illustrative examples. The book includes the latest researches done by the author at Indian Institute of Technology Bombay. It covers problems in two-dimensional elasticity, complex variable approach to two-dimensional elasticity, anisotropic elasticity and interaction effect of problems with two holes using Swartz alternating method. The number of problems given as exercise at the end of the chapter will help the students to reinforce the understanding of the subject. Key features • Discusses the subject in an easy to understand manner • Highlights the new theory (Ip Theory) for fracture initiation • Covers stress analysis of fracture and macroscopic theories of fracture • Contains the methods to formulate and solve problems of solid mechanics using Finite Element Method
Download or read book Non conventional Construction of Concrete Dams and Rock Foundations written by Yu A. Landau and published by CRC Press. This book was released on 1997-01-01 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dealing with dam types such as gravity, counterfort and arch, this guide examines construction techniques, their development over the years, and their merits and demerits. As well as providing citations of dams, patents and codes, the text presents comparative data on world dams, updated to 1991.
Download or read book Cyclic Behaviour of Soils and Liquefaction Phenomena written by Th. Triantafyllidis and published by CRC Press. This book was released on 2004-07-01 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference brought together specialists in cyclic soil behaviour in order to discuss important results and new ideas in the field, and to share expertise in design of various problems involving cyclic or dynamic behaviour of soils. This book covers a variety of topics: * Theory and analysis, including constitutive relations of soil under cyclic loading, post-seismic stability analysis of soil/structure, dynamic stability of structures, liquefaction analysis of marine structures due to cyclic loading, and more * Cyclic and dynamic laboratory and model testing, centrifuge testing and in-situ testing. * Numerical analysis, including computer methods * Design of industrial applications and marine structures, installation methods of piles, vibrocompaction, densification of ballast in railway structures, case studies of earthquakes and post-liquefaction observations.
Download or read book Mathematical Models in Natural Science and Engineering written by Juri I. Neimark and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has come into being as a result ofthe author's lectures on mathematical modelling rendered to the students, BS and MS degree holders specializing in applied mathematics and computer science and to post-graduate students in exact sciences of the Nizhny Novgorod State University after N.!. Lobatchevsky. These lectures are adapted and presented as a single whole ab out mathematical models and modelling. This new course of lectures appeared because the contemporary Russian educational system in applied mathematics rested upon a combination of fundamental and applied mathematics training; this way of training oriented students upon solving only the exactly stated mathematical problems, and thus there was created a certain estrangement to the most essential stages and sides of real solutions for applied problems, such as thinking over and deeply piercing the essence of a specific problem and its mathematical statement. This statement embraces simplifications, adopted idealizations and creating a mathematical model, its correction and matching the results obtained against a real system. There also existed another main objective, namely to orient university graduates in their future research not only upon purely mathematical issues but also upon comprehending and widely applying mathematics as a universal language of contemporary exact science, and mathematical modelling as a powerful me ans for studying nature, engineering and human society.
Download or read book Acoustic Control of Turbulent Jets written by A.S. Ginevsky and published by Springer Science & Business Media. This book was released on 2012-11-02 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results of experimental research on aerodynamic and acoustic control of subsonic turbulent jets by acoustic excitation are presented. It was demonstrated that these control methods, originated by authors, not only can intensify mixing (by acoustic irradiation at low frequency), but also notably ease it (at high-frequency irradiation). This research monograph presents the updated results of the authors supplemented by other investigations conducted in USA, Germany and Great Britain. The methods for the numerical simulation of subsonic turbulent jets under acoustic excitation are described in detail, and examples are reviewed of practical applications, including reduction of turbojet engine noise and acoustic control of self-sustained oscillations in wind tunnels.
Download or read book Dynamics of Mechanical Systems with Coulomb Friction written by Le Xuan Anh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the general theory of motion of mechanical systems with Coulomb friction. In particular, the book focuses on the following specific problems: derivation of the equations of motion, Painleve's paradoxes, tangential impact and dynamic seizure, and frictional self-excited oscillations. In addition to the theoretical results, the book contains a detailed description of experiments that show that, in general, the friction force at the instant of transition to motion is determined by the rate of tangential load and does not depend on the duration of the previous contact. These results are used to develop the theory of frictional self-excited oscillations. A number of industrially relevant mechanisms are considered, including the Painleve-Klein scheme, epicyclic mechanisms, crank mechanisms, gear transmission, the link mechanism of a planing machine, and the slider of metal-cutting machine tools. The book is intended for researchers, engineers and students in mechanical engineering.
Download or read book Resonant Robotic Systems written by V. I. Babitsky and published by Springer Science & Business Media. This book was released on 2012-09-22 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Especially designed as self-sustaining oscillating systems, resonant robotic systems use the natural modes of oscillation of electromechanical modules for their movements. In fact, manipulator systems built on these principles demonstrate record-breaking characteristics in performance. The authors summarize the results and experience of research on, and development of, resonant robotic systems. For the readers convenience, a presentation of design concepts is followed by solutions to new dynamical and control problems. The book is intended for designers, researchers and graduate students.
Download or read book Numerical Structural Analysis written by Anatoly Perelmuter and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: To our sons, Mike, Andrew, Alex, who did not inherit their fathers' level of interest in applied mechanics, but who became sophisticated in software development and in this regard surpassed their parents. A.P., V.S. Hard times came, the god5 got angry. Children do not behave themselves and everybody wishes to write a book. Ancient Babylonian inscription X Preface Preface to the English Edition The book you are reading is a translation from Russian into English. Within a pretty short term this book saw two editions in Russian. The authors received in spiring responses from readers that both stimulated our continuing and improving this work and made sure it would not be in vain of us to try to multiply our readers by covering the English-speaking engineering community. When we prepared the present edition, we took into account interests of the Western readers, so we had to make some changes to our text published earlier. These changes include the following aspects. First, we excluded a lot of references and discussions regarding Russian engi neering codes. It seems to us those are of no real interest for Western engineers oriented at Eurocode or national construction design regulations.
Download or read book Engineering Vibration Analysis written by Valery A. Svetlitsky and published by Springer Science & Business Media. This book was released on 2004-01-23 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of vibrations belongs to principal subjects needed for training mechani cal engineers in technological universities. Therefore, the basic goal of the mono graph "Advanced Theory of Vibrations 1" is to help students studying vibration theory for gaining experience in application of this theory for solving particular problems. Thus, while choosing the problems and methods to solve them, the close attention was paid to the applied content of vibration theory. The monograph is devoted to systems with a single degree of freedom and sys tems with a finite number of degrees of freedom. In particular, problems are for mulated associated with determination of frequencies and forms of vibrations, study of forced vibrations, analysis of both stable and unstable vibrations (includ ing those caused by periodic but anharmonic forces). The problems of nonlinear vibrations and of vibration stability, and those related to seeking probabilistic characteristics for solutions to these problems in the case of random forces are also considered. Problems related to parametric vibrations and statistical dynamics of mechanical systems, as well as to determination of critical parameters and of dy namic stability are also analyzed. As a rule, problems presented in the monograph are associated with particular mechanical systems and can be applied for current studies in vibration theory. Al lowing for interests of students independently studying theory of vibrations, the majority of problems are supplied with either detailed solutions or algorithms of the solutions.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Wave Finite Element Method written by Boris F. Shorr and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational mechanics, as a science employed for the numerical model ing of processes in nature and engineering, has over the last few decades developed two strands. The first concerns the putting of more and more powerful software packages into computational practice, using increas ingly high-performance computers with increasingly large memory. The traditional finite element and finite difference approaches are still preva lent. Over the years however, researchers have met with new problems; their solutions on the basis of traditional methods are at best difficult and at worst impossible to obtain. Such problems provided a powerful impetus in the development of the second strand, resulting in the development of es sentially new approaches for numerical modeling, for example meshless methods, "molecular" dynamics, neuron networks. The current state of the art formed the basis of many papers presented at the Fifth World Congress on Computational Mechanics, Vienna 2002. It is within the framework of the second strand that this book has been written.
