Nonholonomic mechanical systems with symmetry

AM Bloch, PS Krishnaprasad, JE Marsden… - Archive for rational …, 1996 - Springer
This work develops the geometry and dynamics of mechanical systems with nonholonomic
constraints and symmetry from the perspective of Lagrangian mechanics and with a view to …

[图书][B] Nonholonomic mechanics

AM Bloch, AM Bloch - 2015 - Springer
Nonholonomic systems provide an important class of mechanical control systems. One
reason for this importance is that nonintegrability is essential to both the mechanics and the …

[图书][B] Computational dynamics

AA Shabana - 2009 - books.google.com
Computational Dynamics, 3rd edition, thoroughly revised and updated, provides logical
coverage of both theory and numerical computation techniques for practical applications …

[图书][B] Geometric mechanics-part II: rotating, translating and rolling

DD Holm - 2011 - books.google.com
See also GEOMETRIC MECHANICS—Part I: Dynamics and Symmetry (2nd Edition) This
textbook introduces modern geometric mechanics to advanced undergraduates and …

[图书][B] Lagrangian reduction by stages

H Cendra, JE Marsden, TS Rațiu - 2001 - books.google.com
This booklet studies the geometry of the reduction of Lagrangian systems with symmetry in a
way that allows the reduction process to be repeated; that is, it develops a context for …

[图书][B] Geometric mechanics-Part I: Dynamics and symmetry

DD Holm - 2011 - books.google.com
See also GEOMETRIC MECHANICS—Part II: Rotating, Translating and Rolling (2nd Edition)
This textbook introduces the tools and language of modern geometric mechanics to …

[图书][B] Dynamics and optimal control of road vehicles

DJN Limebeer, M Massaro - 2018 - books.google.com
Dynamics and Optimal Control of Road Vehicles uniquely offers a unified treatment of tyre,
car and motorcycle dynamics, and the application of nonlinear optimal control to vehicle …

Analytical modeling of discrete mechanical systems involving contact, impact, and friction

S Natsiavas - Applied Mechanics Reviews, 2019 - asmedigitalcollection.asme.org
In this study, a review is presented on previous work referring to analytical modeling of
mechanical systems having components that come in contact during their motion in ways …

Geometric mechanics, Lagrangian reduction, and nonholonomic systems

H Cendra, JE Marsden, TS Ratiu - Mathematics unlimited—2001 and …, 2001 - Springer
This paper outlines some features of general reduction theory as well as the geometry of
nonholonomic mechanical systems. In addition to this survey nature, there are some new …

Nonholonomic dynamics

AM Bloch, JE Marsden, DV Zenkov - Notices of the AMS, 2005 - ams.org
Nonholonomic systems are, roughly speaking, mechanical systems with constraints on their
velocity that are not derivable from position constraints. They arise, for instance, in …