Weak form quadrature element method and its applications in science and engineering: a state-of-the-art review
X Wang, Z Yuan, C ** - Applied Mechanics …, 2017 - asmedigitalcollection.asme.org
The weak form quadrature element method (QEM) combines the generality of the finite
element method (FEM) with the accuracy of spectral techniques and thus has been …
element method (FEM) with the accuracy of spectral techniques and thus has been …
A spacetime variational integration approach to the full discretization of flexible beams based on absolute nodal coordinate formulation
P Zhou, H Ren, W Fan, Z Zhang - Nonlinear Dynamics, 2024 - Springer
A spacetime variational integration approach for flexible beams is developed based on the
absolute nodal coordinate formulation (ANCF), where the discretization is accomplished in a …
absolute nodal coordinate formulation (ANCF), where the discretization is accomplished in a …
An optimized three-sub-step composite time integration method with controllable numerical dissipation
Y Ji, Y ** deformation by weak form quadrature elements
L Mao, H Zhong - Computers & Structures, 2023 - Elsevier
Geometrically exact beams with torsion-war** deformation are studied. With three-
dimensional finite strains, the Wagner effects as well as initial curvature and twist are taken …
dimensional finite strains, the Wagner effects as well as initial curvature and twist are taken …
Explicit isogeometric collocation for the dynamics of three-dimensional beams undergoing finite motions
We initiate the study of three-dimensional shear-deformable geometrically exact beam
dynamics through explicit isogeometric collocation methods. The formulation we propose is …
dynamics through explicit isogeometric collocation methods. The formulation we propose is …
Isogeometric collocation for implicit dynamics of three-dimensional beams undergoing finite motions
We propose a novel approach to the implicit dynamics of shear-deformable geometrically
exact beams, based on the isogeometric collocation method combined with the Newmark …
exact beams, based on the isogeometric collocation method combined with the Newmark …
A weak form quadrature element formulation of geometrically exact beams with strain gradient elasticity
In this article, a numerical scheme for geometrically nonlinear analysis of elastic strain
gradient beams is presented based on the weak form quadrature element formulation in …
gradient beams is presented based on the weak form quadrature element formulation in …
Geometrically exact finite element formulation for tendon-driven continuum robots
Tendon-driven continuum robots achieve continuous deformations through the contraction
of tendons embedded inside the robotic arms. For some continuum robots, the constant …
of tendons embedded inside the robotic arms. For some continuum robots, the constant …
Weak form quadrature element analysis of spatial geometrically exact composite beams with torsional war**
L Mao, H Zhong - Composite Structures, 2023 - Elsevier
Spatial thin-walled laminated composite beams under large deformations with torsional
war** effects are studied. A novel two-dimensional cross-section model for composite …
war** effects are studied. A novel two-dimensional cross-section model for composite …