The Mathematical Foundation Of Structural Mechanics

Author : F. Hartmann
Publisher : Springer Science & Business Media
Page : 383 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642824012

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The Mathematical Foundation of Structural Mechanics by F. Hartmann Pdf

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
Page : 485 pages
File Size : 42,5 Mb
Release : 2007-03-14
Category : Technology & Engineering
ISBN : 9780387233314

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Fundamentals of Structural Mechanics by Keith D. Hjelmstad Pdf

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 : Francesco Marmo,Salvatore Sessa,Emilio Barchiesi,Mario Spagnuolo
Publisher : Springer Nature
Page : 275 pages
File Size : 43,8 Mb
Release : 2021-11-30
Category : Technology & Engineering
ISBN : 9783030427078

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Mathematical Applications in Continuum and Structural Mechanics by Francesco Marmo,Salvatore Sessa,Emilio Barchiesi,Mario Spagnuolo Pdf

This book presents a range of research projects focusing on innovative numerical and modeling strategies for the nonlinear analysis of structures and metamaterials. The topics covered concern various analysis approaches based on classical finite element solutions, structural optimization, and analytical solutions in order to present a comprehensive overview of the latest scientific advances. Although based on pioneering research, the contributions are focused on immediate and direct application in practice, providing valuable tools for researchers and practicing professionals alike.

Author : Karl-Eugen Kurrer
Publisher : John Wiley & Sons
Page : 864 pages
File Size : 44,7 Mb
Release : 2012-01-09
Category : Technology & Engineering
ISBN : 9783433601341

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The History of the Theory of Structures by Karl-Eugen Kurrer Pdf

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 : A.I. Rusakov
Publisher : CRC Press
Page : 446 pages
File Size : 47,8 Mb
Release : 2020-11-10
Category : Science
ISBN : 9781498770453

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Fundamentals of Structural Mechanics, Dynamics, and Stability by A.I. Rusakov Pdf

Fundamentals of Structural Mechanics, Dynamics, and Stability examines structural mechanics from a foundational point of view and allows students to use logical inference and creative reasoning to solve problems versus rote memorization. It presents underlying theory and emphasizes the relevant mathematical concepts as related to structural mechanics in each chapter. Problems, examples, and case studies are provided throughout, as well as simulations to help further illustrate the content. Features: Presents the material from general theory and fundamentals through to practical applications. Explains the finite element method for elastic bodies, trusses, frames, non-linear behavior of materials, and more. Includes numerous practical worked examples and case studies throughout each chapter. Fundamentals of Structural Mechanics, Dynamics, and Stability serves as a useful text for students and instructors as well as practicing engineers.

Author : Michel Frémond,Franco Maceri,Giuseppe Vairo
Publisher : Springer
Page : 267 pages
File Size : 41,5 Mb
Release : 2017-01-21
Category : Science
ISBN : 9783319488844

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Models, Simulation, and Experimental Issues in Structural Mechanics by Michel Frémond,Franco Maceri,Giuseppe Vairo Pdf

This book offers valuable insights and provides effective tools useful for imagining, creating, and promoting novel and challenging developments in structural mechanics. It addresses a wide range of topics, such as mechanics and geotechnics, vibration and damping, damage and friction, experimental methods, and advanced structural materials. It also discusses analytical, experimental and numerical findings, focusing on theoretical and practical issues and innovations in the field. Collecting some of the latest results from the Lagrange Laboratory, a European scientific research group, mainly consisting of Italian and French engineers, mechanicians and mathematicians, the book presents the most recent example of the long-term scientific cooperation between well-established French and Italian Mechanics, Mathematics and Engineering Schools. It is a valuable resource for postgraduate students, researchers and practitioners dealing with theoretical and practical issues in structural engineering.

Author : Einar N Strommen
Publisher : Springer
Page : 510 pages
File Size : 47,5 Mb
Release : 2013-11-27
Category : Technology & Engineering
ISBN : 3319018035

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Structural Dynamics by Einar N Strommen Pdf

This book introduces to the theory of structural dynamics, with focus on civil engineering structures that may be described by line-like beam or beam-column type of systems, or by a system of rectangular plates. Throughout this book the mathematical presentation contains a classical analytical description as well as a description in a discrete finite element format, covering the mathematical development from basic assumptions to the final equations ready for practical dynamic response predictions. Solutions are presented in time domain as well as in frequency domain. Structural Dynamics starts off at a basic level and step by step brings the reader up to a level where the necessary safety considerations to wind or horizontal ground motion induced dynamic design problems can be performed. The special theory of the tuned mass damper has been given a comprehensive treatment, as this is a theory not fully covered elsewhere. For the same reason a chapter on the problem of moving loads on beams has been included.

Author : Anonim
Publisher : PHI Learning Pvt. Ltd.
Page : 921 pages
File Size : 49,7 Mb
Release : 2011
Category : Technology & Engineering
ISBN : 9788120342361

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Fundamentals of Structural Mechanics and Analysis by Anonim Pdf

This book is a comprehensive presentation of the fundamental aspects of structural mechanics and analysis. It aims to help develop in the students the ability to analyze structures in a simple and logical manner. The major thrust in this book is on energy principles. The text, organized into sixteen chapters, covers the entire syllabus of structural analysis usually prescribed in the undergraduate level civil engineering programme and covered in two courses. The first eight chapters deal with the basic techniques for analysis, based on classical methods, of common determinate structural elements and simple structures. The following eight chapters cover the procedures for analysis of indeterminate structures, with emphasis on the use of modern matrix methods such as flexibility and stiffness methods, including the finite element techniques. Primarily designed as a textbook for undergraduate students of civil engineering, the book will also prove immensely useful for professionals engaged in structural design and engineering.

Author : Y.A. Melnikov
Publisher : WIT Press
Page : 401 pages
File Size : 43,8 Mb
Release : 2008-02-07
Category : Technology & Engineering
ISBN : 9781845641290

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Influence Function Approach by Y.A. Melnikov Pdf

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.

Author : Percy J. Waldram
Publisher : Unknown
Page : 442 pages
File Size : 52,6 Mb
Release : 1912
Category : Mechanics, Applied
ISBN : NYPL:33433087577585

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The Principles of Structural Mechanics by Percy J. Waldram Pdf

Author : Hans Eschenauer,Niels Olhoff,Walter Schnell
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642592058

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Applied Structural Mechanics by Hans Eschenauer,Niels Olhoff,Walter Schnell Pdf

Kundennutzen: Die wichtigsten Grundlagen der linearen Elastizitätstheorie, der Schalen- und Plattentheorie sowie der Strukturoptimierung werden in kompakter Form dargestellt. Zahlreiche Aufgaben und Lösungen helfen dem Leser den dargebotenen Stoff systematisch zu vertiefen.

Author : K.J Bathe
Publisher : Elsevier
Page : 2524 pages
File Size : 41,8 Mb
Release : 2003-06-02
Category : Science
ISBN : 008052947X

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Computational Fluid and Solid Mechanics 2003 by K.J Bathe Pdf

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 : Olek C Zienkiewicz,Robert L Taylor
Publisher : Butterworth-Heinemann
Page : 672 pages
File Size : 48,8 Mb
Release : 2013-11-08
Category : Technology & Engineering
ISBN : 9780080951362

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The Finite Element Method for Solid and Structural Mechanics by Olek C Zienkiewicz,Robert L Taylor Pdf

The Finite Element Method for Solid and Structural Mechanics is the key text and reference for engineers, researchers and senior students dealing with the analysis and modeling of structures, from large civil engineering projects such as dams to aircraft structures and small engineered components. This edition brings a thorough update and rearrangement of the book’s content, including new chapters on: Material constitution using representative volume elements Differential geometry and calculus on manifolds Background mathematics and linear shell theory Focusing on the core knowledge, mathematical and analytical tools needed for successful structural analysis and modeling, The Finite Element Method for Solid and Structural Mechanics is the authoritative resource of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to apply the finite element method to solid mechanics and structural design. Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience. Features new chapters on topics including material constitution using representative volume elements, as well as consolidated and expanded sections on rod and shell models.

Author : Steen Krenk
Publisher : Springer
Page : 0 pages
File Size : 41,8 Mb
Release : 2001
Category : Science
ISBN : 3642566944

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Mechanics and Analysis of Beams, Columns and Cables by Steen Krenk Pdf

The book illustrates the use of simple maths-based analytic techniques in basic structural mechanics. It focuses on the identification of the physical background of the theories and their particular mathematical properties. And on the demonstration of mathematical techniques for analysis of simple problems in structural mechanics. The author also looks at the derivation of the solutions to a number of basic problems of structural mechanics in a form suitable for later reference. The presentation concentrates on the main principles and the characteristics of the solutions. The theory also serves as a basis for the formulation of numerical models and for intelligent interpretation of their results.

Author : Percy John Waldram
Publisher : Legare Street Press
Page : 0 pages
File Size : 48,6 Mb
Release : 2023-07-18
Category : History
ISBN : 1021796166

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The Principles of Structural Mechanics Treated Without the Use of Higher Mathematics by Percy John Waldram Pdf

In this textbook, Percy J. Waldram presents the principles of structural mechanics in a way that can be easily understood by engineering students without an advanced background in mathematics. Waldram's clear writing and numerous examples make this an accessible and informative resource for anyone studying structural mechanics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.