摘要
根据虚功原理,利用8节点六面体单元刚度矩阵的物理特性以及结构内力影响面的概念,推导出实体单元模型下指定位置内力影响面的有效算法,该算法可普遍适用于各类实体单元,并提出用NURBS自由造型曲面进行影响面的数学建模和图形输出。算例结果表明,该方法与传统方法计算结果完全吻合,能极大地节约计算工作量。该算法实现了桥梁结构实体模型中的影响面计算及可视化,在大跨复杂桥梁结构的全桥三维设计分析中具有广泛的工程应用前景。
According to virtual work principle,by use of physical property of stiffness matrix of 8-node hexahedral element and concept of structural internal force influence surface,an effective algorithm for calculating internal force influence surface of designated position in solid element model was deduced.It can be generally applied to different solid elements and the feasibility of the algorithm was verified.A mathematical modeling and graphics output method were also presented by using Non-uniform rational B-spline（NURBS）.The calculation example shows that the result of the presented method well agrees with that of traditional method and can reduce a lot of calculation jobs.The algorithm realized the computation and visualization of internal force influence surface in bridges when modeled with solid elements and has widespread availability of 3D design and analysis for long-span complex bridges.
出处
《公路交通科技》
CAS
CSCD
北大核心
2011年第8期85-89,共5页
Journal of Highway and Transportation Research and Development
基金
中央高校基本科研业务费专项资金项目(2010059020)
关键词
桥梁工程
影响面
六面体单元
虚功原理
非均匀有理B样条
bridge engineering
influence surface
hexahedral element
virtual work principle
Non-uniform rational B-spline
