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Higher order sensitivities in structural static design

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Abstract

In this paper, structural static design is considered as a kind of inverse algebraic eigenvalue problem. It is the most important task for the inverse problem to compute the sensitivities of eigenvalues and eigenvectors. Therefore, a complete set of higher order sensitivity expressions has been presented based on the complex variables theory. These expressions have solid mathematical foundation and practical significance.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Hehai University, 210098, Nanjing, P. R. China

    Li Shu

  2. Department of Aircraft Engineering, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, P. R. China

    Feng Taihua

  3. Department of Dynamics Engineering, Shanghai Jiaotong University, 200030, Shanghai, P. R. China

    Fan Xuqi

Authors
  1. Li Shu
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  2. Feng Taihua
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  3. Fan Xuqi
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Additional information

Communicated by Wu Ruifeng

Project supported by Aeronautical Science Young Fund of China

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Shu, L., Taihua, F. & Xuqi, F. Higher order sensitivities in structural static design. Appl Math Mech 18, 393–398 (1997). https://doi.org/10.1007/BF02457554

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  • DOI: https://doi.org/10.1007/BF02457554

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