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Models of Mechanics

  • Fester Einband
  • 204 Seiten
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This textbook on models and modeling in mechanics introduces a new unifying approach to applied mechanics: through the concept of ... Weiterlesen
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Beschreibung

This textbook on models and modeling in mechanics introduces a new unifying approach to applied mechanics: through the concept of the open scheme, a step-by-step approach to modeling evolves. The unifying approach enables a very large scope on relatively few pages: the book treats theories of mass points and rigid bodies, continuum models of solids and fluids, as well as traditional engineering mechanics of beams, cables, pipe flow and wave propagation.

From the reviews:

"Mathematical modeling is usually described as an art rather than a science. Models of Mechanics, by Anders Klarbring, shows that there is indeed a science of mathematical modeling. While the book is obviously focused on developing models specifically for mechanics, it has a broader value as a general exposition of mathematical modeling. For this reason, this small book belongs on the bookshelves of mathematical modelers who do not work in mechanics, as well as those that do." (Glenn Ledder, SIAM Review, Vol. 49 (3), 2007)

Klarbring's book is a clear and concise introduction into the foundations of classical mechanics for discrete particles, fluids, and solids . It is aimed at the intermediate level seasoned researchers will appreciate the philosophically unified approach to the various systems that are considered. the text succeeds in providing a unified approach to the modeling of mechanical processes for a broad class of materials and systems. (Thomas Pence, Meccanica, Vol. 44, 2009)



Klappentext

This is a textbook on models and modeling in mechanics. It introduces a new unifying approach to applied mechanics: through the concept of the open scheme, a step-by-step approach to modeling evolves. The unifying approach enables a very large scope on relatively few pages: the book treats theories of mass points and rigid bodies, continuum models of solids and fluids, as well as traditional engineering mechanics of beams, cables, pipe flow and wave propagation. Models of Mechanics complements existing books that deal with continuum mechanics. In contrast to such books it gives a setting that is broad enough to encompass also the mechanics of mass points, and theories of beams and other intrinsically one-dimensional bodies. An obtained knowledge of the unifying approach can be a base for advanced studies of fluid and solid mechanics, as well as specializations in mechatronics, control and structural optimization. The book is ideal to use in conjunction with equation-based finite element programs like FEMLAB and FlexPDE. It provides tools for organizing and structuring the broad discipline of mechanics, as well as a platform for deriving new models of applied use. TOC:Preface.- I. General Background. 1. Introduction. 2. Open Scheme.- II. Basic Models: Geometry and Universal Laws. 3 Bodies and their pacements in E. 4 Discrete Model. 5. One-Dimensional Model. 6. Pipe Flow. 7. Three-Dimensional Model.- III Complete models by adding particular laws. 8. Particular Laws. 9. Small Displacement Theories. 10. Pipe flow models. 11. Models of Fluid Mechanics. 12. Kinematic Constraints, beams and rigid bodies.- IV Appendices. A. Sets and Functions. B. Euclidean point and vector spaces. C. Tensors and some mathematical background. D. Note on physical dimensions.- Notation. References. Index.

Inhalt
General Background.- Open scheme.- Basic Models: Geometry and Universal Laws.- Bodies and Their Placements in ?.- Discrete Model.- One-Dimensional Model.- Pipe Flow.- Three-Dimensional Model.- Complete Models by Adding Particular Laws.- Particular Laws.- Small Displacement Models.- Pipe Flow Models.- Models of Fluid Mechanics.- Kinematic Constraints, Beams and Rigid Bodies.

Produktinformationen

Titel: Models of Mechanics
Autor:
EAN: 9781402048340
ISBN: 978-1-4020-4834-0
Format: Fester Einband
Herausgeber: Springer Netherlands
Genre: Allgemeines & Lexika
Anzahl Seiten: 204
Gewicht: 1100g
Größe: H240mm x B240mm x T160mm
Jahr: 2006
Auflage: 2006

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