绝对节点坐标列式实体梁单元建模方法及应用
收稿日期: 2014-09-28
修回日期: 2015-07-16
网络出版日期: 2015-07-21
基金资助
国家“973”计划 (2013CB733004); 国防重点学科开放基金 (HIT.KLOF.MST.201508); 哈尔滨工业大学科研创新基金 (HIT.NSRIF.201515)
Modelling method and application of solid beam element based on absolute nodal coordinate formulation
Received date: 2014-09-28
Revised date: 2015-07-16
Online published: 2015-07-21
Supported by
National Basic Research Program of China (2013CB733004); National Key Discipline Laboratory Open Fundation (HIT.KLOF.MST.201508); Natural Scientific Research Innovation Foundation in Harbin Institute of Technology (HIF.NSRIF.201515)
在多体系统动力学建模方法中,传统非等参梁单元的建模方法主要基于Euler-Bernoulli梁或Timoshenko梁理论,无法准确描述截面变形;而传统绝对节点坐标列式索梁单元虽然能够准确描述截面变形,但需引入额外描述及处理闭锁问题;与上述单元不同,绝对节点坐标列式实体单元可以通过节点坐标直接描述截面变形,避免单元变形带来的闭锁问题。本文在实体单元方法基础上,首次提出了考虑单元连续性条件和黏弹性阻尼模型的绝对节点坐标列式实体梁单元,并使用实体梁单元实现了对多体系统的建模。仿真结果表明,对比传统有限单元及绝对节点坐标列式单元,实体梁单元能够更好地表征柔性梁的非线性特性,满足大变形柔性计算的需求。
马超 , 魏承 , 赵阳 , 王然 . 绝对节点坐标列式实体梁单元建模方法及应用[J]. 航空学报, 2015 , 36(10) : 3316 -3326 . DOI: 10.7527/S1000-6893.2015.0201
In the multibody system dynamics formulations, the modeling of classical non-isoparametric beam element is mainly based on the Euler-Bernoulli and Timoshenko beam theories, which cannot accurately describe the deformation of the beam cross section. Although the absolute node coordinate formulation beam element is able to achieve section description, it is necessary to introduce additional description frames and deal with series locking problems. Different from the elements mentioned above, the absolute nodal coordinate formulation solid element directly describes the section deformation through the node coordinates without the locking problems. Based on the solid element, the absolute nodal coordinate solid beam element considering the continuity condition and internal viscoelastic damping, has been provided and achieved for the first time. With the solid beam element, the modelling of a multibody system is realized. According to numerical simulations, it is able to obtain some nonlinearity results with solid beam element and the precision is much higher than traditional finite element and absolute nodal coordinate formulation element.
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