摘要
提出了一套大型结构的敏度分析技术。为适应不同规模的问题,主要涉及到两种常见的敏度计算方法:伴随变量方法和半解析法。为提高大型结构的敏度计算效率,也提出了两种方法:一是根据设计变量之间的关系避免冗余计算,二是利用小矩阵避开处理大型稀疏矩阵。利用上述理论编制了基于有限元法的敏度分析程序AASA,并将AASA的分析结果与大型工程软件NASTRAN进行对比,结果证明本方法具有较高的精确性和分析效率。
The sensitivity analysis technique is proposed to deal with the large - scale structural problems. The two common sensitivity methods, the adjoint variable method and the semi - analytical method, are employed to meet different problems. Moreover, two meas- ures are also developed to improve the analyzing efficiency, one is to avoid the repeating analysis by using the relations among design variables, and the other is to replace the large sparseness matrix with the small The finite element program AASA is developed to compare with MSC. NASTRAN, and the result shows that the proposed methods can achieve high accuracy and efficiency.
出处
《南昌航空大学学报(自然科学版)》
CAS
2013年第2期18-23,共6页
Journal of Nanchang Hangkong University(Natural Sciences)
基金
中航工业产学研创新项目(CXY2010XG18)
关键词
有限元
伴随变量法
半解析法
稀疏矩阵
敏度分析
finite element method
adjoint variable method
semi -analytical method
sparse matrix
sensitivity analysis