المستودع الأكاديمي جامعة المدينة

A Generalization of Chetaev's Principle for a Class of Higher Order Non-holonomic Constraints

أعرض تسجيلة المادة بشكل مبسط

dc.creator Cendra, Hernán
dc.creator Ibort, Alberto
dc.creator León, Manuel de
dc.creator Martín de Diego, David
dc.date 2007-12-10T11:13:20Z
dc.date 2007-12-10T11:13:20Z
dc.date 2004-04-23
dc.date.accessioned 2017-01-31T00:59:26Z
dc.date.available 2017-01-31T00:59:26Z
dc.identifier arXiv:math-ph/0404053v1
dc.identifier Journal of Mathematical Physics, 2004; 45 (7): 2785-2801
dc.identifier 0022-2488
dc.identifier http://hdl.handle.net/10261/2540
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2540
dc.description The constraint distribution in non-holonomic mechanics has a double role. On one hand, it is a kinematic constraint, that is, it is a restriction on the motion itself. On the other hand, it is also a restriction on the allowed variations when using D'Alembert's Principle to derive the equations of motion. We will show that many systems of physical interest where D'Alembert's Principle does not apply can be conveniently modeled within the general idea of the Principle of Virtual Work by the introduction of both kinematic constraints and variational constraints as being independent entities. This includes, for example, elastic rolling bodies and pneumatic tires. Also, D'Alembert's Principle and Chetaev's Principle fall into this scheme. We emphasize the geometric point of view, avoiding the use of local coordinates, which is the appropriate setting for dealing with questions of global nature, like reduction.
dc.description This work has been partially supported by MICYT (Spain) (Grant BFM2001-2272). The work of H. Cendra was realized during a sabbatical year spent at Universidad Carlos III de Madrid. He also wants to thank CSIC for its kind hospitality.
dc.description Peer reviewed
dc.language eng
dc.publisher American Institute of Physics
dc.relation Preprint
dc.rights openAccess
dc.title A Generalization of Chetaev's Principle for a Class of Higher Order Non-holonomic Constraints
dc.type Pre-print


الملفات في هذه المادة

الملفات الحجم الصيغة عرض

لا توجد أي ملفات مرتبطة بهذه المادة.

هذه المادة تبدو في المجموعات التالية:

أعرض تسجيلة المادة بشكل مبسط