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

作　　者：李顶河 徐建新 卿光辉 

机构地区：[1]College of Aeronautical Engineering,Civil Aviation University of China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第12期1549-1560,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 60979001);the Major Project of Civil Aviation University of China (No. CAUC2009ZD0101)

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.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.

关 键 词：bonding imperfection sensitivity analysis radial point interpolation method（RPIM） spring-layer model Hellinger-Reissner （H-R） variational principle 

分 类 号：TB332[一般工业技术—材料科学与工程]