Energy Principles and Variational Methods in Applied Mechanics
Author: J. N. Reddy
Hardcover: 608 pages
Publisher: Wiley; 2 edition (August 9, 2002)
Language: English
ISBN-10: 047117985X
ISBN-13: 978-0471179856
Book Description
This book covers the fundamental concepts of energy principles and variational methods and their function in the formulation and solution of problems of mechanics. It has been completely revised and updated to meet the increased application of these methods.
From the Back Cover
A systematic presentation of energy principles and variational methods
The increasing use of numerical and computational methods in engineering and applied sciences has shed new light on the importance of energy principles and variational methods. Energy Principles and Variational Methods in Applied Mechanics provides a systematic and practical introduction to the use of energy principles, traditional variational methods, and the finite element method to the solution of engineering problems involving bars, beams, torsion, plane elasticity, and plates.
Beginning with a review of the basic equations of mechanics and the concepts
of work, energy, and topics from variational calculus, this book presents
the virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. A unified approach, more general than that found in most solid mechanics books, is used to introduce the finite element method. Also discussed are applications to beams and plates.
Complete with more than 200 illustrations and tables, Energy Principles and Variational Methods in Applied Mechanics, Second Edition is a valuable book for students of aerospace, civil, mechanical, and applied mechanics; and engineers in design and analysis groups in the aircraft, automobile, and civil engineering structures, as well as shipbuilding industries.
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An Introduction to Ordinary Differential Equations (Cambridge University Press )
Author: James C. Robinson
Paperback: 414 pages
Publisher: Cambridge University Press (February 9, 2004)
Language: English
ISBN-10: 0521533910
ISBN-13: 978-0521533911
Review
'The presentation is sensitive to the needs of students, with careful algebraic steps included in most cases. Appendices on basic required mathematical techniques are also included.' Mathematical Reviews
'The book is recommended as a textbook for one-term or one-semester course.' Zentralblatt MATH
'... will be useful to anybody wanting to teach or learn elements of ordinary differential equations in the beginnings of their mathematical studies.' European Mathematical Society Newsletter
'... it is written in a friendly and informal style and covers a wide and interesting collection of topics.' Contemporary Physics
'This is an excellent book which probably would have been most welcome to older students of differential equations had it existed and which will be of great value to those currently studying the subject.' The Mathematical Gazette
Book Description
This introduction to ordinary differential and difference equations is suited not only for mathematicians but for scientists and engineers as well. Exact solutions methods and qualitative approaches are covered, and many illustrative examples are included. Matlab is used to generate graphical representations of solutions. Numerous exercises are featured and proved solutions are available for teachers.
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Handbook of Exact Solutions for Ordinary Differential Equations, 2nd Edition
Author:Andrei Polyanin Valentin F. Zaitsev Andrei D. Polyanin
Hardcover: 816 pages
Publisher: Chapman and Hall/CRC; 2 edition (October 29, 2002)
Language: English
ISBN-10: 1584882972
ISBN-13: 9781584882978
Review
…I have been reading the Polyanin books Handbook of Linear Partial Differential Equations for Engineers and Scientists and Handbook of Exact Solutions for Ordinary Differential Equations. I think these books are extraordinary, and are destined to become classics … CRC Press has provided an invaluable service to science and engineering by publishing these books.
- William Schiesser, Lehigh University
In summary, this is a very useful and easy-to-read handbook for anyone involved in ordinary differential equations...
- SIAM Review, 1997, on the first edition
This best-selling handbook ... is now in its second edition and has been substantially updated and improved ... book is highly recommended for mathematicians, scientists, and
engineers. It would be a useful edition to academic sci-tech libraries, including those that already have the first edition.
- Holly Flynn in E-STREAM
Book Description
Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handbook now contains the exact solutions to more than 6200 ordinary differential equations. The authors have made significant enhancements to this edition, including:· An introductory chapter that describes exact, asymptotic, and approximate analytical methods for solving ordinary differential equations · The addition of solutions to more than 1200 nonlinear equations· An improved format that allows for an expanded table of contents that makes locating equations of interest more quickly and easily· Expansion of the supplement on special functionsThis handbook's focus on equations encountered in applications and on equations that appear simple but prove particularly difficult to integrate make it an indispensable addition to the arsenals of mathematicians, scientists, and engineers alike.
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The equations of motion in the dynamics of structures are ordinary differential equations.
Simply the seismic response of structures can be concluded into solving ordinary differential equations.
This book helps you get the mathematical knowledge of the subject. In conclusion, the
better you grasp ordinary differential equations, the better analysis of dynamics of structures you'll grasp.
Higher Engineering Mathematics, 5th Edition by John Bird
Author: John Bird
Paperback: 744 pages
Publisher: Newnes; 5 edition (January 11, 2007)
Language: English
ISBN-10: 0750681527
ISBN-13: 978-0750681520
Book Description
Provides all the mathematical knowledge and techniques pre-degree and undergraduate students of Engineering need
John Bird's approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student's own pace. Basic mathematical theories are explained in the simplest of terms, supported by practical engineering examples and applications from a wide variety of engineering disciplines, to ensure the reader can relate the theory to actual engineering practice. This extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, Foundation Degrees, and HNC/D units.
An established text which has helped many thousands of students to gain exam success, now in its fifth edition Higher Engineering Mathematics has been further extended with new topics to maximise the book's applicability for first year engineering degree students, and those following Foundation Degrees. New material includes: inequalities; differentiation of parametric equations; differentiation of hyperbolic functions; and homogeneous first order differential equations.
This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel, including the core unit Analytical Methods for Engineers, and the two specialist units Further Analytical Methods for Engineers and Engineering Mathematics in their entirety, common to both the electrical/electronic engineering and mechanical engineering pathways. A mapping grid is included showing precisely which topics are required for the learning outcomes of each unit, for ease of reference.
The book is supported by a suite of free web downloads:
* Introductory-level algebra: To enable students to revise basic algebra needed for engineering courses - available at
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* Instructor's Manual: Featuring full worked solutions and mark scheme for all 19 assignments in the book and the remedial algebra assignment - available on
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* Extensive Solutions Manual: 640 pages featuring worked solutions for 1,000 of the further problems and exercises in the book - available on
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* New edition includes new and extended coverage of additional topics for undergraduate study and Foundation Degree courses
* Includes over 1,000 worked examples and over 1,750 problems, to enable the student to apply mathematics in real-world engineering contexts
* An extensive Solutions Manual provides solutions to over 1,000 of the 1,750 further problems and is available as a free download for lecturers
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Author:Bernard Dacorogna
Paperback: 228 pages
Publisher: World Scientific Publishing Company (December 28, 2004)
Language: English
ISBN-10: 1860945082
ISBN-13: 978-1860945083
Review
... a solid introduction to a great and grand subject. -- MAA Online Book Review
Book Description
The calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.
This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist — mathematicians, physicists, engineers, students or researchers — in discovering the subjects most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions.
The book, containing more than seventy exercises with detailed solutions, is well designed for a course both at the undergraduate and graduate levels.
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Nowadays the development of civil engineering pose higher mathematical requirement for civil engineers. This book is focus on Calculus Of Variations that is not so widely used for most civil engineers. But undoutedly it is used in the civil engineering, especially in the theoretical rearch such as finite element methods. This book is a useful one for the beginner of the subject.
The subject of calculus of variations is to find optimal solutions to engineering problems where the optimum may be a certain quantity, a shape, or a function. Applied Calculus of Variations for Engineers addresses this very important mathematical area applicable to many engineering disciplines. Its unique, application-oriented approach sets it apart from the theoretical treatises of most texts. It is aimed at enhancing the engineer’s understanding of the topic as well as aiding in the application of the concepts in a variety of engineering disciplines.
The first part of the book presents the fundamental variational problem and its solution via the Euler–Lagrange equation. It also discusses variational problems subject to constraints, the inverse problem of variational calculus, and the direct solution techniques of variational problems, such as the Ritz, Galerkin, and Kantorovich methods. With an emphasis on applications, the second part details the geodesic concept of differential geometry and its extensions to higher order spaces. It covers the variational origin of natural splines and the variational formulation of B-splines under various constraints. This section also focuses on analytic and computational mechanics, explaining classical mechanical problems and Lagrange’s equations of motion.
About the Author
Steady State, Transients, and Design with MATLAB
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The thoery of calculus of variations is somewhat complicated, It can be
rarely used in the civil engineering design process. But for some civil engineer dedicated in the field of theoretical rearch such as finite element methods , it can be used sometimes. So I post this book with the hope that it can do some help for those few engineers.
Design for Water: Rainwater Harvesting, Stormwater Catchment, and Alternate Water Reuse
Design for Water: Rainwater Harvesting, Stormwater Catchment, and Alternate Water Reuse
Author(s): Heather Kinkade-Levario
Publisher: New Society Publishers
Date : 2007
Pages : 253
Format : pdf (high quality)
Language : English
ISBN-10 :
ISBN-13 : 9780865715806
Book Info:
In an era of dwindling resources, water is poised to become the new oil. The entire world now faces the reality of a decreasing supply of clean water. To avert a devastating shortage, we must not only look at alternate water sources for existing structures but must plan our new developments differently.
Design for Water is an accessible and clearly written guide to alternate water collection, with a focus on rainwater harvesting in the urban environment.
The book:
* Outlines the process of water collection from multiple sources-landscape, residential, commercial, industrial, school, park, and municipal systems
* Provides numerous case studies
* Details the assembly and actual application of equipment
* Includes specific details, schematics, and references
All aspects of rainwater harvesting are outlined, including passive and active system setup, storage, storm water reuse, distribution, purification, analysis, and filtration. There is even a section on rainwater harvesting for wildlife.
In addition to rainwater, there are several affordable and accessible alternate sources, including cooling tower bleed-off water, air conditioning condensate, gray water, and fog collection. D esign for Water is geared to providing those making development decisions and guidelines with the information they need to set up passive harvesting techniques. The book will especially appeal to engineers, landscape architects, municipal decision-makers, developers, and landowners.
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Vibrations in structures: Induced by man and machines
Vibrations in structures: Induced by man and machines (Structural engineering documents)
By Hugo Bachmann
Publisher: International Association for Bridge and Structural Engineering
Number Of Pages: 176
Publication Date: 1987
ISBN-10 / ASIN: B0000EHOJZ
ISBN-13 / EAN:
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Bentley Rebar is a fully interactive reinforced concrete detailing and scheduling system, applicable to a wide range of concrete structures, from the simple to the very complex. The two-dimensional (2D) detailing process is simple and easy-to-learn, and not unlike traditional manual detailing procedures. Powerful tools link reinforcement shown in cross-section with details shown in plan and elevation, thereby extending the system into the third dimension. Within a 3D design file, these “2½D” features combine with MicroStation’s modeling tools to produce 3D models of your reinforcement, eliminating many hundreds of hours normally required to complete such a task.
Installed in Bentley MicroStation (SELECTseries 2) V8i 08.11.07.443
Trial VIP see in your section how to renew the Bentley Trials.
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IMPORTANT NOTICE: You may use this software for evaluation purposes only.
If you like it, it is strongly suggested you buy it to support the developers.
By any means you may not use this software to make money or use it for commercial purpose.
The following topics summarize the new features and enhancements.
Menu Changes
Data Interoperability Enhancements
Design Review Enhancements
Geographic Coordinate System Enhancements
Support for Point Clouds
Support for Virtualized Deployment
Visualization Enhancements
Bentley DGN IFilter
Trial VIP see in your section how to renew the Bentley Trials.
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IMPORTANT NOTICE: You may use this software for evaluation purposes only.
If you like it, it is strongly suggested you buy it to support the developers.
By any means you may not use this software to make money or use it for commercial purpose.
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