|
|||||
|
|
| FORMING MICHELL TRUSS IN THREE-DIMENSIONS BY FINITEELEMENTMETHOD | |
| 引用本文： | 周克民 李俊峰. FORMING MICHELL TRUSS IN THREE-DIMENSIONS BY FINITEELEMENTMETHOD[J]. 应用数学和力学(英文版), 2005, 26(3): 381-388. DOI: 10.1007/BF02440089 |
| 作者姓名： | 周克民 李俊峰 |
| 作者单位： | Department of Engineering Mechanics，Tsinghua University，Beijing 100084，P.R.China，Department of Civil Engineering，Huaqiao University，Quanzhou，Fujian 362021，P.R.China，Department of Engineering Mechanics，Tsinghua University，Beijing 100084，P.R.China |
| 基金项目： | ProjectsupportedbytheTeachingandResearchAwardProgramforOutstandingYoungTeachersinHigherEducationInstitutionbyMinistryofEducationofChina |
| 摘 要： | IntroductionTheMichell’s[1]theoryforoptimizingstructuraltopologyforstressconstraintsunderoneloadconditionplaysanimportantroleinstructuraloptimizationfield .TheoptimumstructuresbasedonsuchtheoryarecalledasMichelltruss,orleast_weighttruss.Subsequently ,thistheorydevelopedgreatlyinmanyaspects[2 - 8].ItisprovedthatMichelltrussisidenticalwiththeleast_weighttrussforcomplianceconstraints.TheMichelltrussesundersomeloadcasesweregainedbyanalyticalmethod[8- 10 ].Michelltrussisestablishedbasedonstrict… |
| 关 键 词： | 结构优化 有限元 拓扑最优化 应力约束 Michell 建筑力学 |
| 收稿时间： | 2004-06-20 |
Forming Michell truss in three-dimensions by finite element method |
|
| Zhou Ke-min Professor, Doctor,Li Jun-feng. Forming Michell truss in three-dimensions by finite element method[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(3): 381-388. DOI: 10.1007/BF02440089 | |
| Authors: | Zhou Ke-min Professor Doctor Li Jun-feng |
| Affiliation: | 1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R.China;Department of Civil Engineering, Huaqiao University, Quanzhou, Fujian 362021, P.R. China 2. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R.China |
| Abstract: | The finite element method to form Michell truss in three_dimensions is presented.The orthotropic composite with fiber_reinforcement is employed as the material model to simulate Michell truss.The orientation and densities of fibers at nodes are taken as basic design variables.The stresses and strains at nodes are calculated by finite element method.An iteration scheme is suggested to adjust the orientations of fibers to be along the orientations of principal stresses, and the densities of fibers according to the strains in the orientations of fibers.The strain field satisfying Michell criteria and truss_like continuum are achieved after several iterations. Lastly, the Michell truss is showed by continuous lines, which are formed according to the orientations of fibers at nodes. Several examples are used to demonstrate the efficiency of the presented approach. |
| Keywords: | structural optimization finite element method topology optimization Michell truss stress constraint |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ | |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 | |
| 点击此处可从《应用数学和力学(英文版)》下载全文 | |