Li Shu, Feng Taihua, . Higher Order Sensitivities in Structural Static Design[J]. Applied Mathematics and Mechanics, 1997, 18(4): 367-372.
Citation:
Li Shu, Feng Taihua, . Higher Order Sensitivities in Structural Static Design[J]. Applied Mathematics and Mechanics, 1997, 18(4): 367-372.
Li Shu, Feng Taihua, . Higher Order Sensitivities in Structural Static Design[J]. Applied Mathematics and Mechanics, 1997, 18(4): 367-372.
Citation:
Li Shu, Feng Taihua, . Higher Order Sensitivities in Structural Static Design[J]. Applied Mathematics and Mechanics, 1997, 18(4): 367-372.
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
Received Date: 1995-02-22Rev Recd Date:
1995-06-16
Publish Date:
1997-04-15
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.
References
[1]
H.M.Adelman and R.T.Haftka,Sensitivity analysis of discrete structural systems,AIAA J.,24,5(1986),823～832.
[2]
R.B.Nelson,Simplified calculation of eigenvector derivatives,AIAA J.,14,9(1976),1201～1205.
[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).
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