| 基于无单元Galerkin方法的受迫振动下的连续体结构拓扑优化 |
| |
| 引用本文： | 郑娟,龙述尧,李光耀.基于无单元Galerkin方法的受迫振动下的连续体结构拓扑优化[J].固体力学学报,2011,32(5):527-533. |
| |
| 作者姓名： | 郑娟 龙述尧 李光耀 |
| |
| 作者单位： | 1. 湖南大学力学系2. 湖南大学3. 湖南大学机械与运载工程学院汽车车身先进设计制造国家重点实验室 |
| |
| 基金项目： | 国家自然科学基金(10972075); 国家973计划(2010CB3228005); 高等学校博士学科点专项科研基金(20090161110012); 汽车先进设计和制造技术国家重点实验室建设基金(60870003)资助 |
| |
| 摘 要： | 基于无单元Galerkin法(EFG)对受迫振动下的连续体结构进行拓扑优化设计.选取节点的相对密度作为设计变量,以动柔度最小化为目标函数,基于带惩罚的各向同性固体材料模型(SIMP)建立了受迫振动下的连续体结构拓扑优化模型,采用伴随法求解得到目标函数的敏度分析公式,利用优化准则法对优化模型进行求解.通过经典的二维连续体...
|
| 关 键 词： | 无单元Galerkin方法(EFG) 受迫振动 SIMP插值模型 优化准则方法 连续体结构拓扑优化设计 |
| 收稿时间： | 2010-04-12 |
TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES SUBJECTED TO FORCED VIBRATION BASED ON THE ELEMENT-FREE GALERKIN METHOD |
| |
| Juan Zheng,Shuyao Long,Guangyao Li.TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES SUBJECTED TO FORCED VIBRATION BASED ON THE ELEMENT-FREE GALERKIN METHOD[J].Acta Mechnica Solida Sinica,2011,32(5):527-533. |
| |
| Authors: | Juan Zheng Shuyao Long Guangyao Li |
| |
| Institution: | Juan Zheng Shuyao Long Guangyao Li (State Key Laboratory of Advanced Design and Manufacture for Vehicle Body,Hunan University,Changsha,410082) |
| |
| Abstract: | In this paper,the element-free Galerkin method(EFG) is applied to carry out the topology optimization of the continuum structures subjected to a forced vibration.Considering the relative density of nodes as design variables,the minimization of dynamic compliance as an objective function,the mathematical formulation of the topology optimization is developed using the SIMP(solid isotropic microstructures with penalization) interpolation scheme.Sensitivity of the objective function is derived based on the adjo... |
| |
| Keywords: | element-free Galerkin method(EFG) forced vibration SIMP optimality criteria method continuum structural topology optimization |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《固体力学学报》浏览原始摘要信息 |
| 点击此处可从《固体力学学报》下载免费的PDF全文 |
