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 …
systems are summarized. Discussion focuses on a number of aspects of flexible multibody …
A geometrically exact model for soft continuum robots: The finite element deformation space formulation
Mathematical modeling of soft robots is complicated by the description of the continuously
deformable three-dimensional shape that they assume when subjected to external loads. In …
deformable three-dimensional shape that they assume when subjected to external loads. In …
Geometrically exact finite element formulations for slender beams: Kirchhoff–Love theory versus Simo–Reissner theory
The present work focuses on geometrically exact finite elements for highly slender beams. It
aims at the proposal of novel formulations of Kirchhoff–Love type, a detailed review of …
aims at the proposal of novel formulations of Kirchhoff–Love type, a detailed review of …
Geometrically exact beam finite element formulated on the special Euclidean group SE (3)
This paper describes a dynamic formulation of a straight beam finite element in the setting of
the special Euclidean group SE (3). First, the static and dynamic equilibrium equations are …
the special Euclidean group SE (3). First, the static and dynamic equilibrium equations are …
Constitutive models for strongly curved beams in the frame of isogeometric analysis
The current development of the isogeometric approach in various fields of mechanics is
explained by the high-accuracy results which can be achieved at a reduced computational …
explained by the high-accuracy results which can be achieved at a reduced computational …
Multibody implementation of finite volume C beams
GL Ghiringhelli, P Masarati, P Mantegazza - AIAA journal, 2000 - arc.aiaa.org
BEAMS are an important tool of structural analysis because they represent a relatively
simple model compared to a threedimensional analysis of slender structural systems. The fi …
simple model compared to a threedimensional analysis of slender structural systems. The fi …
Modal reduction procedures for flexible multibody dynamics
Through a critical review of the various component mode synthesis techniques developed in
the past, it is shown that both Craig–Bampton's and Herting's methods are particular cases …
the past, it is shown that both Craig–Bampton's and Herting's methods are particular cases …
A total Lagrangian, objective and intrinsically locking‐free Petrov–Galerkin SE(3) Cosserat rod finite element formulation
Based on more than three decades of rod finite element theory, this publication combines
the successful contributions found in the literature and eradicates the arising drawbacks like …
the successful contributions found in the literature and eradicates the arising drawbacks like …
Integrating finite rotations
CL Bottasso, M Borri - Computer methods in applied mechanics and …, 1998 - Elsevier
We study the integration of problems of evolution in the rotation group. Instead of attacking
the problem in the nonlinear differential manifold SO (3)(pure rotational dynamics), as is …
the problem in the nonlinear differential manifold SO (3)(pure rotational dynamics), as is …
Review of the exponential and Cayley map on SE (3) as relevant for Lie group integration of the generalized Poisson equation and flexible multibody systems
A Müller - Proceedings of The Royal Society A, 2021 - royalsocietypublishing.org
The exponential and Cayley maps on SE (3) are the prevailing coordinate maps used in Lie
group integration schemes for rigid body and flexible body systems. Such geometric …
group integration schemes for rigid body and flexible body systems. Such geometric …