[HTML][HTML] Euler–Rodrigues formula variations, quaternion conjugation and intrinsic connections

JS Dai - Mechanism and Machine Theory, 2015 - Elsevier
This paper reviews the Euler–Rodrigues formula in the axis–angle representation of
rotations, studies its variations and derivations in different mathematical forms as vectors …

Computational strategies for flexible multibody systems

TM Wasfy, AK Noor - Appl. Mech. Rev., 2003 - asmedigitalcollection.asme.org
The status and some recent developments in computational modeling of flexible multibody
systems are summarized. Discussion focuses on a number of aspects of flexible multibody …

[图书][B] Dynamics of multibody systems

AA Shabana - 2020 - books.google.com
This fully revised fifth edition provides comprehensive coverage of flexible multibody system
dynamics. Including an entirely new chapter on the integration of geometry, durability …

[图书][B] Computational continuum mechanics

AA Shabana - 2018 - books.google.com
An updated and expanded edition of the popular guide to basic continuum mechanics and
computational techniques This updated third edition of the popular reference covers state-of …

The analysis of the Generalized-α method for non-linear dynamic problems

S Erlicher, L Bonaventura, OS Bursi - Computational mechanics, 2002 - Springer
This paper presents the consistency and stability analyses of the Generalized-α methods
applied to non-linear dynamical systems. The second-order accuracy of this class of …

Review of contemporary approaches for constraint enforcement in multibody systems

OA Bauchau, A Laulusa - 2008 - asmedigitalcollection.asme.org
A hallmark of multibody dynamics is that most formulations involve a number of constraints.
Typically, when redundant generalized coordinates are used, equations of motion are …

Modeling of joints with clearance in flexible multibody systems

OA Bauchau, J Rodriguez - International Journal of Solids and Structures, 2002 - Elsevier
This paper is concerned with the modeling of joints with clearance within the framework of
finite element based dynamic analysis of nonlinear, flexible multibody systems. For actual …

Variational integrators for constrained dynamical systems

S Leyendecker, JE Marsden… - ZAMM‐Journal of Applied …, 2008 - Wiley Online Library
A variational formulation of constrained dynamics is presented in the continuous and in the
discrete setting. The existing theory on variational integration of constrained problems is …

The interpolation of rotations and its application to finite element models of geometrically exact rods

I Romero - Computational mechanics, 2004 - Springer
The finite element formulation of geometrically exact rod models depends crucially on the
interpolation of the rotation field from the nodes to the integration points where the internal …

Computational schemes for flexible, nonlinear multi-body systems

OA Bauchau - Multibody System Dynamics, 1998 - Springer
This paper deals with the development of computational schemes for the dynamic analysis
of flexible, nonlinear multi-body systems. The focus of the investigation is on the derivation of …