Now showing items 1-8 of 8
The Dynamics of Coupled Planar Rigid Bodies.
This paper studies the dynamics of coupled planar rigid bodies, concentrating on the case of two bodies coupled with a hinge joint. The Hamiltonian structure is non-canonical and is obtained using the methods of reduction, ...
Hamiltonian Structures and Stability for Rigid Bodies with Flexible Attachments.
The dynamics of a rigid body with flexible attachments is studied. A general framework for problems of this type is established in the context of Poisson manifolds and reduction. A simple model for a rigid body with an ...
The Dynamics of Two Coupled Rigid Bodies.
In this paper we derive a Poisson bracket on the phase space so(3)*x so(3)*x S0(3) such that the dynamics of two three- dimensional rigid bodies coupled by a ball and socket joint can be written as a Hamiltonian system.
The Hamiltonian Structure of Nonlinear Elasticity: The Convective Representation of Solids, Rods, and Plates.
ABSTRACT NOT AVAILABLE.
The Dynamics of Coupled Planar Rigid Bodies, Part II: Bifurcations, Periodic Solutions, and Chaos.
Part I of this paper, namely Sreenath, Oh, Krishnaprasad, and Marsden , hereafter denoted [I], studied the Hamiltonian structure and equilibria for interconnected planar rigid bodies, with the primary focus being on ...
Stability Analysis of a Rigid Body with a Flexible Attachment Using the Energy-Casimir Method.
We consider a system consisting of a rigid body to which a linear extensible shear beam is attached. For such a system the Energy- Casimir method can be used to investigate the stability of the equilibria. In the case we ...
Stabilization of Rigid Body Dynamics by Internal and External Torques
In this paper we discuss the stabilization of the rigid body dynamics by external torques (gas jets) and internal torques (momentum wheels). We compare the stabilizing quadratic quadratic feedback law for a single external ...
Dissipation Induced Instabilities
The main goal of this paper is to prove that if the energy- momentum (or energy-Casimir) method predicts formal instability of a relative equilibrium in a Hamiltonian system with symmetry, then with the addition of ...