基于动态子模型法的结构动响应预示方法  

Structural response prediction based on dynamic sub-modelling method

作　　者：于士甲[1] 张鹏[1] 李彦斌[2] 吴邵庆[1] 费庆国[2] Yu Shijia Zhang Peng Li Yanbin Wu Shaoqing Fei Qingguo(School of Civil Engineering, Southeast University, Nanjing 210096, China School of Mechanical Engineering, Southeast University, Nanjing 211189, China)

机构地区：[1]东南大学土木工程学院,南京210096 [2]东南大学机械工程学院,南京211189

出　　处：《东南大学学报（自然科学版）》2017年第2期325-330,共6页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11402052;11572086);教育部新世纪优秀人才支持计划资助项目(NCET-11-0086);江苏省自然科学基金资助项目(BK20140616)

摘　　要：研究了基于动态子模型法的结构动响应预示方法基本理论,并建立了可应用于复杂切割边界条件下的匹配插值方法.首先以壳-壳及壳-体2种子模型为研究对象,探究动态子模型法在2种模型中的动响应分析精度及计算效率.以复杂卫星模型为研究对象,验证了动态子模型法在复杂结构中的应用性.研究结果表明:在保证局部运算精度的情况下,子模型法可以极大幅提高运算效率;壳-壳子模型法和壳-体子模型法通过1层切割边界节点和3层切割边界节点即可保证较高响应预示精度;在复杂结构中整体模型网格与子模型网格大小相差较大的情况下,子模型法仍能获得较理想的响应预示结果.Based on the theoretical derivation,the basic formula of the dynamic response of sub-modelling method was obtained based on structural dynamic stiffness under complex cutti4 ng boundary conditions. Firstly,a sub-modelling method was studied by using 2 sub-models of shell-shell and shell-solid as a research object based on a simply supported plate. The accuracy and the high efficiency in the 2 sub-models were researched. Then,the good applicability of dynamic sub-modelling method on the complex structure was proved by using a satellite model as a research object. The results showthat the computational efficiency is improved with the sub-modelling method under a premise of local computation precision. The high precision can be achieved with only 1 layer and 3layers of boundary nodes when using shell-shell and shell-body sub-modelling methods,respectively. Fine results can also be obtained under the condition of a sharp incompatibility between the whole model and the sub-model on complex structures.

关 键 词：子模型法 局部响应 运算效率 切割边界 复杂结构 

分 类 号：V414.8[航空宇航科学与技术—航空宇航推进理论与工程] O32[理学—一般力学与力学基础]