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Theoretical Analysis for a Class of Rheonomous Affine Constraints on Configuration Manifolds—Part II: Foliation Structures and Integrating Algorithms
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-34, 34 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-13
Country of Publication
Egypt
No. of Pages
34
Main Subjects
Abstract EN
This paper investigates foliation structures of configuration manifolds and develops integrating algorithms for a class of constraints that contain the time variable, called A-rheonomous affine constrains.
We first present some preliminaries on the A-rheonomous affine constrains.
Next, theoretical analysis on foliation structures of configuration manifolds is done for the respective three cases where the A-rheonomous affine constrains are completely integrable, partially integrable, and completely nonintegrable.
We then propose two types of integrating algorithms in order to calculate independent first integrals for completely integrable and partially integrable A-rheonomous affine constrains.
Finally, a physical example is illustrated in order to verify the availability of our new results.
American Psychological Association (APA)
Kai, Tatsuya. 2012. Theoretical Analysis for a Class of Rheonomous Affine Constraints on Configuration Manifolds—Part II: Foliation Structures and Integrating Algorithms. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-34.
https://search.emarefa.net/detail/BIM-1001522
Modern Language Association (MLA)
Kai, Tatsuya. Theoretical Analysis for a Class of Rheonomous Affine Constraints on Configuration Manifolds—Part II: Foliation Structures and Integrating Algorithms. Mathematical Problems in Engineering No. 2012 (2012), pp.1-34.
https://search.emarefa.net/detail/BIM-1001522
American Medical Association (AMA)
Kai, Tatsuya. Theoretical Analysis for a Class of Rheonomous Affine Constraints on Configuration Manifolds—Part II: Foliation Structures and Integrating Algorithms. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-34.
https://search.emarefa.net/detail/BIM-1001522
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001522