Nonholonomic constraints in classical field theories

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Symmetry aspects of nonholonomic field theories

The developments in this paper are concerned with nonholonomic field theories in the presence of symmetries. Having previously treated the case of vertical symmetries, we now deal with the case where the symmetry action can also have a horizontal component. As a first step in this direction, we derive a new and convenient form of the field equations of a nonholonomic field theory. Nonholonomic ...

متن کامل

Robust MotiodForce Control of Mechanical Systems with Classical Nonholonomic Constraints

Abstrucf-The positiodforce control of mechanical systems subject to a set of classical nonholonomic constraints represents an important class of control problems. In this note, a reduced dynamic model, suitable for simultaneous independent motion and force control, is developed. Some properties of the dynamic model are exploited to facilitate the controller design. Based on the theory of guaran...

متن کامل

The Momentum Map for Nonholonomic Field Theories with Symmetry

We introduce a suitable generalization of the momentum map for nonholonomic field theories and prove a covariant form of the nonholonomic momentum equation. We show that these covariant objects coincide with their counterparts in mechanics by making the transition to the Cauchy formalism.

متن کامل

Knot Invariants from Classical Field Theories

We consider the Non-Abelian Chern-Simons term coupled to external particles, in a gauge and diffeomorphism invariant form. The classical equations of motion are perturbativelly studied, and the on-shell action is shown to produce knot-invariants associated with the sources. The first contributions are explicitely calculated, and the corresponding knot-invariants are recognized. We conclude that...

متن کامل

Nonholonomic kinematic constraints in elasticity

A geometrically exact model of a Cosserat rod with nonholonomic constraints is outlined. The constraint forces are derived from the framework of nonholonomic mechanics by using arguments from Cauchy analysis, and a thorough discussion is given concerning the nature of these constraints. By making an additional assumption on the magnitude of the deflections, a simplified model similar to the Eul...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Reports on Mathematical Physics

سال: 2002

ISSN: 0034-4877

DOI: 10.1016/s0034-4877(02)80015-5