基于求逆缩减基法的结构分析
Structural Analysis Based on Inversion Reduced-basis Method
李永红 1侯淑娟 2李光耀2
作者信息
- 1. 中南林业科技大学流变力学与材料工程研究所,长沙410004;湖南大学现代车身先进设计制造国家重点实验室,长沙,410082
- 2. 湖南大学现代车身先进设计制造国家重点实验室,长沙,410082
- 折叠
摘要
缩减基法(reduced-basis methhod,RBM)需要将设计参数从线弹性算子(刚度矩阵,质量矩阵,力载荷等)中分离出来,这一过程费时较多,工作量也很大.将一种改进的缩减基法--求逆缩减基法(INVRBM)提出,解决了这个问题.采用这一方法,简化了将设计参数从线弹性算子中分离的运算,并且依然有很高的计算精度.同时,也可以对计算结果的误差进行估计.以一车架结构为例,采用求逆缩减基法来计算新设计参数时的结果,与有限元结果相比较,精度很高.同RBM相比,离线阶段的计算量也大大减小了,误差限同样有很高的效率.
Abstract
Using reduced-basis method (RBM), design parameters are needed to separated from the linear elastic operator (stiffness matrix, mass matrix, and loads), which is time-consuming. So, an improved reduced-basis method-inversion reduced-basis method (INVRBM) was put forward. In this method, the computing process of design parameters separated from the linear elastic operator was simplified. At the same time, results from INVRBM are accurate, and the error estimation is done. INVRBM is used to a truck frame as an example. It can be shown that INVRBM can obtain accurate results fast with efficient error bound. Comparing with RBM, computation is simplified.
关键词
缩减基法/求逆缩减基法/误差估计/误差限Key words
reduced-basis method/inversion reduced-basis method/error estimation/error bound引用本文复制引用
基金项目
国家自然科学基金重点项目(60635020)
教育部长江学者和创新团队发展计划()
出版年
2009
NETL
NSTL
维普
万方数据