Nonlinear dynamic analysis of shear- and torsion-free rods using isogeometric discretization, outlier removal and robust time integration
CoRR(2023)
摘要
In this paper, we present a discrete formulation of nonlinear shear- and
torsion-free rods introduced by Gebhardt and Romero in [20] that uses
isogeometric discretization and robust time integration. Omitting the director
as an independent variable field, we reduce the number of degrees of freedom
and obtain discrete solutions in multiple copies of the Euclidean space (R^3),
which is larger than the corresponding multiple copies of the manifold
(R^3xS^2) obtained with standard Hermite finite elements. For implicit time
integration, we choose a hybrid form of the mid-point rule and the trapezoidal
rule that preserves the linear and angular momentum exactly and approximates
the energy accurately. In addition, we apply a recently introduced approach for
outlier removal by Hiemstra et al. [26] that reduces high-frequency content in
the response without affecting the accuracy, ensuring robustness of our
nonlinear discrete formulation. We illustrate the efficiency of our nonlinear
discrete formulation for static and transient rods under different loading
conditions, demonstrating good accuracy in space, time and the frequency
domain. Our numerical example coincides with a relevant application case, the
simulation of mooring lines.
更多查看译文
关键词
nonlinear dynamic analysis,isogeometric discretization,robust time integration,torsion-free
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要