用等效板理论计算蜂窝板等效结构参数建立基准有限元模型,对基准模型中结构参数施加摄动量建立待修正有限元模型。根据均匀设计方法将等效参数分为不同水平的参数组,分别计算各参数组对应的模态频率响应,然后建立基于一次式-高斯组合径向基函数（Linear-Gaussian RBF）的响应面模型。引入变异算子的改进粒子群算法修正响应面模型,将搜索到的参数摄动量（优化解）代入待修正模型,得到修正后模型。通过比较基准模型与修正前后模型的结构参数和模态频率响应的接近程度,证实了修正方法的有效性。基于响应面的模型修正避免了迭代中重复调用有限元计算,可提高分析效率。
The equivalent panel theory was employed to calculate the equivalent parameters of the honeycomb sandwich panel to constitute the benchmark FEM,and the perturbations were added to the equivalent parameters to constitute the non-updated FEM.The equivalent parameters are divided into different groups to get the corresponding modal frequencies,and the Linear-Gaussian RBF response surface model is set up,which is updated by the particle swarm optimization algorithm with mutation operator,the updated parameters is introduced into the non-updated model and the updated model is attained.By comparing the similarity of the structure parameters and the modal frequencies of the benchmark model and the non-updated as well as the updated models,the validity of the updated model is proved.
参考文献
| [1] | 徐胜今, 孔宪仁, 王本利, 等. 正交异性蜂窝夹层板动、静力学问题的等效分析方法[J]. 复合材料学报, 2000, 17 (3): 92-95. |
| [2] | 夏利娟, 金咸定, 汪痒宝. 卫星结构蜂窝夹层板的等效计算[J]. 上海交通大学学学报, 2003, 37(7): 999-1001. |
| [3] | 蓝元沛, 关志东, 孟庆春. 复合材料飞机结构技术成熟度评价方法 [J]. 复合材料学报, 2010, 27(3): 150-154. |
| [4] | 胡宇达, 吕书锋, 杜国君. 复合材料层合板的非线性组合共振特性及分岔[J]. 复合材料学报, 2010, 27(2): 176-182. |
| [5] | 周光明, 薄晓莉, 匡宁. 整体中空夹层复合材料的弹性性能分析[J]. 复合材料学报, 2010, 27(1): 185-189. |
| [6] | Roux W J, Stander N, Haftka R T. Response surface approximations for structural optimization [J]. International Journal of Numerical Methods in Engineering, 1998, 42: 517-534. |
| [7] | 邓苗毅, 任伟新. 基于响应面方法的结构有限元模型修正研究进展 [J]. 铁道科学与工程学报, 2008, 5(3): 42-45. |
| [8] | Kaufman M, Balabanov V, Burgee S L, et al. Variable-complexity response surface approximations for wing structural weight in HSCT design [J]. Computational Mechanics, 1996, 18(2): 112-126. |
| [9] | Sevant N E, Bloor M G, Wilson M J. Aerodynamic design of a flying wing using response surface methodology [J]. Journal of Aircraft, 2000, 37(4): 562-569. |
| [10] | Liu B, Haftka R T, Akgun M A. Single-level composite wing optimization based on flexural lamination parameters [J]. Structural and Multidisciplinary Optimizaion, 2004, 26(1): 111-120. |
| [11] | Landman D, Simpson J, Mariani R, et al. A high performance aircraft wind tunnel test using response surface methodologies [J]. AIAA, 2005, 7602: 1-12. |
| [12] | 张立新, 隋允康, 杜家政. 基于响应面方法的结构耐撞性优化[J]. 北京工业大学学报, 2007, 33(2): 129-133. |
| [13] | 任伟新, 陈华斌. 基于响应面的桥梁有限元模型修正[J]. 土木工程学报, 2008, 41(12): 73-78. |
| [14] | 方开泰. 均匀设计与均匀设计表[M]. 北京: 科学出版社, 1994: 65-68. |
| [15] | 丁继峰, 李为吉, 张勇, 等. 基于响应面的翼型稳健设计研究[J]. 空气动力学学报, 2007, 25(1): 19-23. |
| [16] | 窦毅芳, 刘飞, 张为华. 响应面建模方法的比较分析[J]. 工程设计学报, 2007, 14(5): 359-363. |
| [17] | 高岳林, 任子晖. 带有变异算子的自适应粒子群优化算法[J]. 计算机工程与应用, 2007, 43(25): 43-47. |
| [18] | Wang Yong, Li Lin, Ni Jun, et al. Form tolerance evaluation of toroidal surfaces using particle swarm optimization [J]. Journal of Manufacturing Science and Engineering, 2009, 131: 1-9. |
| [19] | 梁森, 陈花玲, 陈天宇. 蜂窝夹芯结构面内等效弹性参数的分析研究[J]. 航空材料学报, 2004, 24(3): 26-31. |
| [20] | Gibson L J, Ashby M F, Schajer G S. The mechanics of two-dimension cellular materials [J]. Proceedings of the Royal Society of London (A), 1982, 382(1782): 25-42. |
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