基于绝对节点坐标法的高阶薄壁曲梁单元

吴明港; 王玉凤; 马喆; 沈振兴

doi:10.21656/1000-0887.450296

基于绝对节点坐标法的高阶薄壁曲梁单元

doi: 10.21656/1000-0887.450296

燕山大学河北省重型装备与大型结构力学可靠性重点实验室，河北秦皇岛 066004

基金项目:

国家自然科学基金（11702241）；河北省自然科学基金（A2021203011）

详细信息

作者简介:
吴明港（1997—），男，博士生(E-mail: ruopeng@stumail.ysu.edu.cn)；王玉凤（1999—），女，硕士生(E-mail: www18237298382@163.com)；马喆（1999—），男，硕士生(E-mail: mazhemax@foxmail.com)；沈振兴（1985—），男，副教授，博士，博士生导师(通讯作者. E-mail: shenzx@ysu.edu.cn).

通讯作者:
沈振兴（1985—），男，副教授，博士，博士生导师(通讯作者. E-mail: shenzx@ysu.edu.cn).

中图分类号: O331
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- 文章访问数: 11
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- 被引次数: 0
出版历程
- 收稿日期: 2024-10-30
- 修回日期: 2025-01-06
- 网络出版日期: 2025-12-05

High-Order ThinWalled Curved Beam Elements With the Absolute Nodal Coordinate Formulation

Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structure of Hebei Province, Yanshan University, Qinhuangdao, Hebei 066004, P.R.China

Funds:

The National Science Foundation of China(11702241)

摘要

摘要: 薄壁曲梁的截面易出现畸变和翘曲现象，为了能够描述其在大转动、大变形情况下的截面变形行为，提出了一种基于绝对节点坐标法的高阶梁单元.借鉴Taylor级数展开模式构建了全局位置矢量场，通过增加单元横向节点的方式，避免了高阶导数几何意义不明确带来的困扰.基于非线性连续介质力学理论和坐标变换策略，推导了薄壁曲梁单元的广义弹性力表达式.通过与有限元软件中的薄壳单元进行比较，验证了该薄壁梁单元的准确性.
- 薄壁曲梁 /
- 高阶梁理论 /
- 截面畸变 /
- 截面翘曲 /
- 绝对节点坐标法
Abstract: The cross sections of thin-walled curved beams are susceptible to distortion and warping phenomena. To describe the cross-section deformation behaviors under large rotations and deformations, a high-order beam element based on the absolute nodal coordinate formulation was proposed. The global position vector field was constructed with the Taylor series expansion method, and the issue arising from the ambiguous geometrical significance of high-order derivatives was obviated with the increase of the number of transverse nodes in the element. Based upon the nonlinear continuum mechanics theory and the coordinate transformation strategy, the generalized elastic force expression for the thin-walled curved beam element was derived. The accuracy of the proposed thin-walled beam element was validated through comparison with a thin-shell element in ABAQUS.
- thin-walled curved beam /
- higher-order beam theory /
- cross-sectional distortion /
- cross-sectional warping /
- absolute nodal coordinate formulation

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参考文献(22)

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