Citation: | LI Ding-he, XU Jian-xin, QING Guang-hui. Sensitivity Analysis of Composite Laminated Plates With Bonding Imperfection in Hamilton System[J]. Applied Mathematics and Mechanics, 2010, 31(12): 1465-1475. doi: 10.3879/j.issn.1000-0887.2010.12.007 |
[1] |
Arora J S, Haug E J. Methods of design sensitivity analysis in structural optimization[J]. AIAA J, 1979, 17(9): 970-974. doi: 10.2514/3.61260
|
[2] |
Choi K K, Santos J L T, Frederick M C. Implementation of design sensitivity analysis with existing finite element codes[J]. ASME Journal of Mechanisms, Transmissions, and Automation in Design, 1987, 109(3): 385-391. doi: 10.1115/1.3258807
|
[3] |
Haftka R T. Sensitivity calculations for iteratively solved problems[J]. International Journal for Numerical Methods in Engineering, 1985, 21(8): 1535-1546. doi: 10.1002/nme.1620210813
|
[4] |
Haftka R T, Barthelemy B. On the accuracy of shape sensitivity[J]. Structural and Multidisciplinary Optimization, 1991, 3(1): 1-6.
|
[5] |
Choi K K, Chang K H. A study of design velocity field computation for shape optimal design[J]. Finite Elements in Analysis and Design, 1994, 15(4): 317-341. doi: 10.1016/0168-874X(94)90025-6
|
[6] |
顾元宪,赵红兵,陈飚松,亢战. 热-应力耦合结构灵敏度分析方法[J]. 力学学报,2001,33(5): 685-691.
|
[7] |
郭旭,顾元宪,赵康. 广义变分原理的结构形状优化伴随法灵敏度分析[J]. 力学学报,2004,36(3): 288-295.
|
[8] |
Barthelemy B, Haftka R T. Accuracy analysis of the semi-analytical method for shape sensitivity calculation[J]. Mechanics Based Design of Structures and Machines, 1990, 18(3): 407-432.
|
[9] |
Olhoff N, Rasmussen J, Lund E. Exact numerical differentiation for error elimination in finite element based semi-analytical shape sensitivity analysis[J]. Mech Struct Mach, 1993, 21(1): 1-66. doi: 10.1080/08905459308905180
|
[10] |
钱令希,程耿东,隋允康, 钟万勰,林家浩. 结构优化设计理论与方法的某些进展[J] . 自然科学进展,1995,5(1): 64-69.
|
[11] |
Cheng Z Q, Kennedy D, Williams F W. Effect of interfacial imperfection on buckling and bending behavior of composite laminates[J]. AIAA Journal, 1996, 34(12): 2590-2595. doi: 10.2514/3.13443
|
[12] |
Cheng Z Q, Jemah A K, Williams F W. Theory for multi-layered anisotropic plates with weakened interfaces[J]. Journal of Applied Mechanics, 1996, 63(4): 1019-1026. doi: 10.1115/1.2787221
|
[13] |
Cheng Z Q, He L H, Kitipornchai S. Influence of imperfect interfaces on bending and vibration of laminated composite shell[J]. International Journal of Solids and Structures, 2000, 37(15): 2127-2150. doi: 10.1016/S0020-7683(98)00294-7
|
[14] |
Chen W Q, Cai J B, Ye G R. Exact solution of cross-ply laminates with bonding interfacial imperfections[J]. AIAA Journal, 2003, 41(11): 2244-2250. doi: 10.2514/2.6817
|
[15] |
Chen W Q, Lee K Y. Exact solution of angle-ply piezoelectric laminates in cylindrical bending with interfacial imperfections[J]. Composite Structures, 2004, 65(3/4): 239-337. doi: 10.1016/j.compstruct.2003.11.001
|
[16] |
Chen W Q, Cai J B, Ye G R, Wang Y F. Exact three-dimensional solutions of laminated orthotropic piezoelectric rectangular plates featuring interlaminar bonding imperfections modeled by a general spring layer[J]. International Journal of Solids and Structures, 2004, 41(18/19): 5247-5263. doi: 10.1016/j.ijsolstr.2004.03.010
|
[17] |
Zhou Y Y, Chen W Q, Lu C F. Semi-analytical solution for orthotropic piezoelectric laminates in cylindrical bending with interfacial imperfections[J]. Composite Structures, 2010, 92(4): 1009-1018. doi: 10.1016/j.compstruct.2009.09.048
|
[18] |
范家让. 强厚叠层板壳的精确理论[M]. 北京: 科学出版社, 1996: 111-385.
|
[19] |
钟万勰. 弹性力学求解新体系[M]. 大连: 大连理工大学出版社, 1995: 182-187.
|
[20] |
钟万勰. 应用力学对偶体系[M]. 北京: 科学出版社, 2003: 22-44.
|
[21] |
卿光辉, 邱家俊, 塔娜. 压电材料修正后的H-R混合变分原理及其层合板的精确法[J]. 工程力学, 2005, 22(5): 43-47.
|
[22] |
陈新锋, 徐建新, 卿光辉. 层合板固有频率分析的B样条小波元法[J]. 动力学与控制学报, 2009, 7(1): 50-54.
|
[23] |
QING Guang-hui, QIU Jia-jun, LIU Yan-hong. Free vibration analysis of stiffened laminated plates[J]. International Journal of Solids and Structures, 2006, 43(6): 1357-1371. doi: 10.1016/j.ijsolstr.2005.03.012
|
[24] |
Liu G R, Gu Y T. An Introduction to Meshfree Methods and Their Programming[M]. Netherlands: Springer, 2005.
|