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Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (4): 393-398.

• 论文 • 上一篇    下一篇

HIGHER ORDER SENSITIVITIES IN STRUCTURAL STATIC DESIGN

李书1, 冯太华2, 范绪箕3   

  1. 1. Department of Engineering Mechanics, Hehai University, Nanjing 210098, P. R. China;
    2. Department of Aircraft Engineering, Naming University of Aeronautics and Astronautics, Nanjing 210016, P. R. China;
    3. Department of Dynamics Engineering, Shanghai Jiaotong University, Shanghai 200030, P. R. China
  • 收稿日期:1995-02-22 修回日期:1995-06-16 出版日期:1997-04-18 发布日期:1997-04-18
  • 基金资助:
    Project supported by Aeronautical Science Young Fund of China

HIGHER ORDER SENSITIVITIES IN STRUCTURAL STATIC DESIGN

Li Shu1, Feng Taihua2, Fan Xuqi3   

  1. 1. Department of Engineering Mechanics, Hehai University, Nanjing 210098, P. R. China;
    2. Department of Aircraft Engineering, Naming University of Aeronautics and Astronautics, Nanjing 210016, P. R. China;
    3. Department of Dynamics Engineering, Shanghai Jiaotong University, Shanghai 200030, P. R. China
  • Received:1995-02-22 Revised:1995-06-16 Online:1997-04-18 Published:1997-04-18
  • Supported by:
    Project supported by Aeronautical Science Young Fund of China

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摘要： 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.

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.

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