The Mathematical Foundation Of Structural Mechanics
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| Author | : F. Hartmann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 383 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3642824013 |
This book attempts to acquaint engineers who have mastered the essentials of structural mechanics with the mathematical foundation of their science, of structural mechanics of continua. The prerequisites are modest. A good working knowledge of calculus is sufficient. The intent is to develop a consistent and logical framework of theory which will provide a general understanding of how mathematics forms the basis of structural mechanics. Emphasis is placed on a systematic, unifying and rigorous treatment. Acknowledgements The author feels indebted to the engineers Prof. D. Gross, Prof. G. Mehlhorn and Prof. H. G. Schafer (TH Darmstadt) whose financial support allowed him to follow his inclinations and to study mathematics, to Prof. E. Klingbeil and Prof. W. Wendland (TH Darmstadt) for their unceasing effort to achieve the impossible, to teach an engineer mathematics, to the staff of the Department of Civil Engineering at the University of California, Irvine, for their generous hospitality in the academic year 1980-1981, to Prof. R. Szilard (Univ. of Dortmund) for the liberty he granted the author in his daily chores, to Mrs. Thompson (Univ. of Dortmund) and Prof. L. Kollar (Budapest/Univ. of Dortmund) for their help in the preparation of the final draft, to my young colleagues, Dipl.-Ing. S. Pickhardt, Dipl.-Ing. D. Ziesing and Dipl.-Ing. R. Zotemantel for many fruitful discussions, and to cando ing. P. Schopp and Frau Middeldorf for their help in the production of the manuscript. Dortmund, January 1985 Friedel Hartmann Contents Notations ........................................................... XII Introduction ........................................................ .
| Author | : Keith D. Hjelmstad |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 485 |
| Release | : 2007-03-14 |
| Genre | : Technology & Engineering |
| ISBN | : 0387233318 |
A solid introduction to basic continuum mechanics, emphasizing variational formulations and numeric computation. The book offers a complete discussion of numerical method techniques used in the study of structural mechanics.
| Author | : Karl-Eugen Kurrer |
| Publisher | : John Wiley & Sons |
| Total Pages | : 864 |
| Release | : 2012-01-09 |
| Genre | : Technology & Engineering |
| ISBN | : 3433601348 |
This book traces the evolution of theory of structures and strength of materials - the development of the geometrical thinking of the Renaissance to become the fundamental engineering science discipline rooted in classical mechanics. Starting with the strength experiments of Leonardo da Vinci and Galileo, the author examines the emergence of individual structural analysis methods and their formation into theory of structures in the 19th century. For the first time, a book of this kind outlines the development from classical theory of structures to the structural mechanics and computational mechanics of the 20th century. In doing so, the author has managed to bring alive the differences between the players with respect to their engineering and scientific profiles and personalities, and to create an understanding for the social context. Brief insights into common methods of analysis, backed up by historical details, help the reader gain an understanding of the history of structural mechanics from the standpoint of modern engineering practice. A total of 175 brief biographies of important personalities in civil and structural engineering as well as structural mechanics plus an extensive bibliography round off this work.
| Author | : Jerrold E. Marsden |
| Publisher | : Courier Corporation |
| Total Pages | : 578 |
| Release | : 2012-10-25 |
| Genre | : Technology & Engineering |
| ISBN | : 0486142272 |
Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.
| Author | : Walter Lacarbonara |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 812 |
| Release | : 2013-01-09 |
| Genre | : Science |
| ISBN | : 1441912762 |
This book reviews the theoretical framework of nonlinear mechanics, covering computational methods, applications, parametric investigations of nonlinear phenomena and mechanical interpretation towards design. Builds skills via increasing levels of complexity.
| Author | : J. S. Przemieniecki |
| Publisher | : Courier Corporation |
| Total Pages | : 502 |
| Release | : 1985-01-01 |
| Genre | : Technology & Engineering |
| ISBN | : 9780486649481 |
This classic text begins with an overview of matrix methods and their application to the structural design of modern aircraft and aerospace vehicles. Subsequent chapters cover basic equations of elasticity, energy theorems, structural idealization, a comparison of force and displacement methods, analysis of substructures, structural synthesis, nonlinear structural analysis, and other topics. 1968 edition.
| Author | : Hassan Al Nageim |
| Publisher | : Pearson Education |
| Total Pages | : 392 |
| Release | : 2003 |
| Genre | : Juvenile Nonfiction |
| ISBN | : |
Structural Mechanics, has become established as a classic text on the theory of structures and design methods of structural members. The book clearly and logically presents the subject's basic principles, keeping the mathematical content to its essential minimum.The sixth edition has been revised to take into account changes in standards, and clarifies the content with updated design examples and a new setting of the text. The original simplicity of the mathematical treatment has been maintained, while more emphasis has been placed on the relevance of structural mechanics to the process of structural design, analysis, materials, and loads on buildings and structures according to the current British Standards and European codes of practice.The initial chapters of the book deal with the concept of loads and their effects on structural materials and elements in terms of stress and strain. The significance of the shape of the cross-section of structural elements is then considered. The book finishes with the design of simple structural elements such as beams, columns, rafters, portal frames, dome frames and gravity retaining walls.
| Author | : K.J Bathe |
| Publisher | : Elsevier |
| Total Pages | : 2485 |
| Release | : 2003-06-02 |
| Genre | : Technology & Engineering |
| ISBN | : 008052947X |
Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics.Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design.The eight tasks are: - The automatic solution of mathematical models - Effective numerical schemes for fluid flows - The development of an effective mesh-free numerical solution method - The development of numerical procedures for multiphysics problems - The development of numerical procedures for multiscale problems - The modelling of uncertainties - The analysis of complete life cycles of systems - Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features - Bridges the gap between academic researchers and practitioners in industry - Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda - Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis
| Author | : M.S. Cheung |
| Publisher | : CRC Press |
| Total Pages | : 374 |
| Release | : 1996-09-05 |
| Genre | : Architecture |
| ISBN | : 9780419191506 |
In-depth, comprehensive and up-to-date information on the powerful finite strip method of analysis of bridges. It is in three parts. The first introduces the method and gives the necessary background. The second explains the evolution of the method and the third part provides detailed information on the application of the method to highway bridges.
| Author | : Y.A. Melnikov |
| Publisher | : WIT Press |
| Total Pages | : 401 |
| Release | : 2008-02-07 |
| Genre | : Technology & Engineering |
| ISBN | : 1845641299 |
Structural mechanics is the study of the effects that forces of different physical origin (mechanical, thermal, magnetic and so on) produce on elements of structures such as cables, pillars, beams, plates and shells. This text represents the first ever attempt to include in a book format a number of standard problems from structural mechanics, which are treated by means of a single mathematical approach that is novel in the field. The influence (Green's) function method constitutes the basis for this approach. The material in this volume is based on the implementation of two important notions taken from different sciences. One of them (the influence function of a point concentrated force) is brought from structural mechanics, while the other (the Green’s function of a boundary-value problem) is taken from mathematics. They are closely related to each other, and their relation represents the keystone in this text. Bringing these notions together allows us to create a single methodological approach to a variety of problems in structural mechanics, makes their analysis easier and builds up a solid foundation for some further developments in the field. In presenting the material in this text, it was presumed that the reader's background is equally solid in undergraduate mathematics and mechanics. The reader is assumed to be relatively fluent in differential and integral calculus and to possess, at the same time, workable knowledge of the fundamental principles of statics and dynamics. Each chapter contains extensive ‘end chapter exercises’ specifically developed for each chapter, with answers and comments available in the Appendix.
