基于部分参数显式化格式的缩减基快速计算方法及应用

马营利; 雷飞; 孙军; 刘以龙

基于部分参数显式化格式的缩减基快速计算方法及应用

1.
湖南大学汽车车身先进设计制造国家重点实验室,长沙 410082

基金项目:

国家自然科学基金项目(11102066)

湖南大学汽车车身先进设计制造国家重点实验室自主课题目(61075003)资助

详细信息

作者简介:
马营利(1982－),硕士研究生,研究方向为汽车车身优化设计及快速计算方法,mayingli111@163．com;雷飞(联系人),讲师,博士,lei－fei@hnu．edu．cn

马营利(1982－),硕士研究生,研究方向为汽车车身优化设计及快速计算方法,mayingli111@163．com;雷飞(联系人),讲师,博士,lei－fei@hnu．edu．cn

计量
- 文章访问数: 205
- HTML全文浏览量: 14
- PDF下载量: 2
- 被引次数: 0
出版历程
- 收稿日期: 2012-08-15
- 刊出日期: 2015-06-10

A Rapid Computation Method of Reduced Basis Based on Partial Explicit Parameterized Formulation and Its Application

1.
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University,Changsha 410082

摘要

摘要: 提出了基于部分参数显式化格式的缩减基快速计算方法,实现了大规模结构的快速计算。该方法通过计算结构的不同总成设计参数对结构刚度的敏感度,并依此将结构划分成敏感和非敏感两类总成,然后将敏感总成设计参数部分显式化,而非敏感总成使用初始设计参数进行叠加。按照一定采样方式构建减基空间,再利用减基空间对原系统进行减缩实现快速计算。通过数值算例验证,此方法并不影响结构响应的计算精度,同时还可以提高计算效率、节省计算机内存空间。
- 缩减基 /
- 快速计算 /
- 敏感度 /
- 参数部分显式化
Abstract: To improve the efficiency of large scale problem design, a rapid computation method of reduced basis based on partial explicit parameterized formulation was introduced in this paper. By calculating the sensitivity of different assemblies whose parameters affect structural stiffness, the structure is divided into sensitive assemblies and insensitive assemblies, and then the design parameters are partially and explicitly expressed. The reduced basis space is built according to certain sam-pling method and used to reduce the former system to achieve fast computation. This method is tested by numerical example and the results show it improves the usage affectivity of computer memory and its computation affectivity.
- calculations /
- design /
- efficiency /
- parameterization

HTML全文

参考文献(12)

[1]	Milani R, Quarteroni A,Rozza G. Reduced basis method for lin-ear elasticity problems with many parameters[J]. Computer Methods in Applied Mechanics and Engineering, 2008, 197: 4812 ~4829
[2]	Liu G R,Khin Zaw,Wang Y Y. Rapid inverse parameter esti-mation using reduced basis approximation with asymptotic error estimation[J]. Computer Methods in Applied Mechanics and Engineering, 2008, 197:3898 ~3910
[3]	Khin Zawa,Liu G R, et al. Rapid identification of elastic modu-lus of the interface tissue on dental implants surfaces using reduced-basis method and a neuralnetwork[J]. Journal of Bio-mechanics, 2009, 42:634 ~641
[4]	Liu G R,Lee J H,Patera A T,et al. Inverse identification of thermal parameters using reduced-basis method[J]. Computer Methods in Applied Mechanics and Engineering. 2005, 194: 3090 ~3107
[5]	Liu G R,Zaw Khin,Wang Y Y. Deng B A novel reduced basis method with upper and lower bounds for real-time computa-tion of linear elasticity problems[J]. Computer Methods in Applied Mechanics and Engineering, 2008, 198:269 ~279
[6]	雷飞, 韩旭. 基于分级自适应技术车身结构多参数大规模问题快速计算方法研究[J]. 中国机械工程, 2010, 21(6):668 ~ 671, 689
[7]	雷飞, 韩旭, 黄永辉. 车身复杂结构大规模问题的缩减计算[J]. 中国机械工程, 2009, 20(17):2127 ~2131, 2141
[8]	黄永辉, 韩旭, 冉再新. 基于减基法的层合板瞬态响应快速分析方法[J]. 力学学报, 2008, 40(2):255 ~260
[9]	黄永辉, 韩旭, 黄芬. 基于减基法的结构谐响快速分析方法[J]. 振动与冲击, 2009, 28(7):61 ~64
[10]	李永红, 李光耀. Reduced-basis Method 在特征值问题中的应用[J]. 机械制造, 2008, 46(5):5 ~8, 9
[11]	黄芬, 韩旭, 龚双等. 引入减基法的压电层合板瞬态响应分析 [J]. 振动与冲击, 2011, 30(4):254 ~258
[12]	张正, 韩旭, 姜潮, 李方义, 何新维. 一种改进的减基法及其在固体结构分析中的应用[J]. 湖南大学学报(自然科学版), 2011, 38(2):30 ~34