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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。
A large-scale sensitivity analysis technique is proposed. To deal with the problems of different scales, mainly involves two common methods of calculating the sensitivity: with the variable method and semi-analytical method. In order to improve the efficiency of large-scale structure, two methods are also proposed: one is to avoid redundant computation according to the relationship between design variables; the other is to use small matrix to avoid dealing with large-scale sparse matrix. AASA, a sensitivity analysis program based on finite element method, was developed based on the above theory. The results of AASA were compared with NASTRAN, a large-scale engineering software. The results show that this method has high accuracy and efficiency.