Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (12): 1549-1560.doi: https://doi.org/90C31

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Sensitivity analysis of composite laminated plates with bonding imperfection in Hamilton system

李顶河 徐建新 卿光辉   

  1. College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, P. R. China
  • 收稿日期:2010-05-25 修回日期:2010-11-08 出版日期:2010-12-01 发布日期:2010-12-01

Sensitivity analysis of composite laminated plates with bonding imperfection in Hamilton system

 LI Ding-He, XU Jian-Xin, QING Guang-Hui   

  1. College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, P. R. China
  • Received:2010-05-25 Revised:2010-11-08 Online:2010-12-01 Published:2010-12-01

摘要: Sensitivity analysis of composite laminated plates with bonding imperfection is carried out based on the radial point interpolation method (RPIM) in a Hamilton system. A set of hybrid governing equations of response and sensitivity quantities is reduced using the spring-layer model and the modified Hellinger-Reissner (H-R) variational principle. The analytical method (AM), the semi-analytical method (SAM), and the finite difference method (FDM) are used for sensitivity analysis based on the reduced set of hybrid governing equations. A major advantage of the hybrid governing equations is that the convolution algorithm is avoided in sensitivity analysis. In addition, sensitivity analysis using this set of hybrid governing equations can obtain response values and sensitivity coefficients simultaneously, and accounts for bonding imperfection of composite laminated plates.

Abstract: Sensitivity analysis of composite laminated plates with bonding imperfection is carried out based on the radial point interpolation method (RPIM) in a Hamilton system. A set of hybrid governing equations of response and sensitivity quantities is reduced using the spring-layer model and the modified Hellinger-Reissner (H-R) variational principle. The analytical method (AM), the semi-analytical method (SAM), and the finite difference method (FDM) are used for sensitivity analysis based on the reduced set of hybrid governing equations. A major advantage of the hybrid governing equations is that the convolution algorithm is avoided in sensitivity analysis. In addition, sensitivity analysis using this set of hybrid governing equations can obtain response values and sensitivity coefficients simultaneously, and accounts for bonding imperfection of composite laminated plates.

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