On the foundations of ordinary and generalized rigid body dynamics and the principle of objectivity

• Autorzy: Chevallier D. P.
• Języki publikacji: EN

Abstrakty

EN

This article presents the foundations of Newton-Euler rigid body dynamics and its generalized forms in the light of the objectivity principle. We prove that most of the features of dynamics may be directly deduced from this principle and from properties of the group defining the geometry. In particular, these deductions seem to close the conjectures about the relevance of the objectivity principle to dynamics.

Słowa kluczowe

EN

rigid body dynamics; principle of objectivity; principal homogeneous space; Maurer-Cartan differential; motion law; inertial forces; inertia operator

PL

dynamika ciała sztywnego; zasada obiektywności; główna przestrzeń jednorodna; różniczka Maurer-Cortan'a; równanie ruchu; siły bezwładności; operator bezwładności

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2004
• Tom: Vol. 56, nr 4
• Strony: 313--353
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Chevallier D. P.

• Ecole nationale des ponts et chaussees Institut Navier, 6-8 avenue Blaise Pascal, Cite Descartes, 77455 Marne-la-Vallee, France,

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