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Coordinate systems

  • O. A. Bauchau
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 176)

Abstract

The practical description of dynamical systems involves a variety of coordinates systems. While the Cartesian coordinates discussed in section 2.1 are probably the most commonly used, many problems are more easily treated with special coordinate systems. The differential geometry of curves is studied in section 2.2 and leads to the concept of path coordinates, treated in section 2.3. Similarly, the differential geometry of surfaces is investigated in section 2.4 and leads to the concept of surface coordinates, treated in section 2.5. Finally, the differential geometry of three-dimensional maps is studied in section 2.6 and leads to orthogonal curvilinear coordinates developed in section 2.7.

Keywords

Base Vector Differential Geometry Principal Curvature Cylindrical Coordinate System Spherical Coordinate System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Georgia Institute of TechnologySchool of Aerospace EngineeringAtlantaUSA

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