结构设计中的高阶灵敏度

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Higher Order Sensitivities in Structural Static Design

1.
Department of Engineering Mechanics, Institute of Civil Engineering, Hehai Universify, Nanjing 210098, P. R. China;
2.
Department of Aircraft Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China;
3.
Department of Dynamics Engineering, Shanghai Jiaotong University, Shanghai 200030, P. R. China

摘要: 本文将静力结构没计问题归结为一类代数特征值反问题.由于灵敏度计算是解决这类问题的重要环节和主要工作,因此在多元函数论的基础上导出了适合于结构设计的高阶灵敏度表达式,该表达式的特点有坚实的数学基础和实用价值.
- 结构设计 /
- 灵敏度 /
- 反问题
Abstract: In this paper, structural static design is considered as a kind of inverse algebraiceigenvalue problem. It is the most important task for for the inverse problem to compute thesensitivities of eigenvalues and eigenvectors. Therefore. a complete set of higher ordersensitivity expressions has been presented based on the complex variables theory. Theseexpressions have solid mathematical foundation and practical significance.
- structural design /
- sensitivity analysis /
- inverse problem

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[3]	Sun Jiguang,Eigenvalues and eigenvectors of a matrix dependent of several parameters,J.Comp.Math.,3,4(1985),351～364.
[4]	S.Bochner and W.T.Martin,Several Complex Variables,Princeton(1948).