基于映射的高精度混合平面曲梁单元  

High Precision Mixed Curved Plane Beam Elements Based on Mapping

作　　者：李文雄[1,2] 马海涛[2,3] 

机构地区：[1]华南农业大学水利与土木工程学院,广州510642 [2]华南理工大学土木与交通学院亚热带建筑科学国家重点实验室,广州510640 [3]大连理工大学工业装备结构分析国家重点实验室,大连116023

出　　处：《科学技术与工程》2014年第23期1-7,20,共8页Science Technology and Engineering

基　　金：大连理工大学工业装备结构分析国家重点实验室开放基金(GZ1305)资助

摘　　要：通过映射分别实现初始几何和位移场的描述,建立考虑初始曲率和厚度影响的任意平面曲梁的几何关系。采用满足平衡的内力场,提出基于Hellinger-Reissner变分原理的高精度曲梁单元。这种无闭锁新单元可用于具有任意曲率的平面结构,与常规曲梁单元相比,具有更高的精度和效率。算例表明,在模型中准确定义初始几何后,所建立单元可给出极准确的结果。Through separate mapping of the initial geometry and displacement fields, the geometric relationship of an arbitrarily curved plane beam is established, which includes the effects of variable initial curvature and beam thickness. Using an internal force field satisfying equilibrium conditions, a high precision mixed element is developed for curved beams based on Hellinger-Reissner principle. The proposed new locking-free element can be used to plane structures with arbitrary curvatures. Compared with conventional curved beam elements, the proposed element has much better accuracy and higher efficiency. Numerical examples show that, when the initial geometry is defined in the model, the element can produce extremely accurate results.

关 键 词：映射 曲线梁 混合元 变曲率 

分 类 号：O343.2[理学—固体力学]