A note on nonholonomic systems
نویسندگان
چکیده
منابع مشابه
On Colissions in Nonholonomic Systems
We consider nonholonomic systems with elastic collisions and propose a concept of generalised solutions to Lagrange-d’Alembert equations. In the light of this concept we describe dynamics of the collisions. Several applications have been investigated. 1. The Description of the Problem Let us start from the following model example. There is a solid ball B of radius r and of mass m and let its ce...
متن کاملA Note on the Comparisons among Coherent Systems
Using the concept of system signature introduced by Samaniego (1985), Kochar et al. (1999) compared the lifetimes of the systems in which the lifetimes of the components are independent and identically distributed (i.i.d.) random variables. Their results are extended to the systems with exchangeable components by Navarro et al. (2005). This paper gives some alternative proofs to obtain th...
متن کاملOn Invariant Manifolds of Nonholonomic Systems
Invariant manifolds of equations governing the dynamics of conservative nonholonomic systems are investigated. These manifolds are assumed to be uniquely projected onto configuration space. The invariance conditions are represented in the form of generalized Lamb’s equations. Conditions are found under which the solutions to these equations admit a hydrodynamical description typical of Hamilton...
متن کاملA General Framework for Nonholonomic Mechanics: Nonholonomic Systems on Lie Affgebroids
This paper presents a geometric description of Lagrangian and Hamiltonian systems on Lie affgebroids subject to affine nonholonomic constraints. We define the notion of nonholonomically constrained system, and characterize regularity conditions that guarantee that the dynamics of the system can be obtained as a suitable projection of the unconstrained dynamics. It is shown that one can define a...
متن کاملDiscrete Nonholonomic Lagrangian Systems on Lie Groupoids
This paper studies the construction of geometric integrators for nonholonomic systems. We derive the nonholonomic discrete Euler-Lagrange equations in a setting which permits to deduce geometric integrators for continuous nonholonomic systems (reduced or not). The formalism is given in terms of Lie groupoids, specifying a discrete Lagrangian and a constraint submanifold on it. Additionally, it ...
متن کاملذخیره 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: Revista Brasileira de Ensino de Física
سال: 2009
ISSN: 1806-1117
DOI: 10.1590/s1806-11172009000200017