| 罗震,陈立平,黄玉盈,张云清.基于RAMP密度-刚度插值格式的结构拓扑优化[J].计算力学学报,2005,22(5):585~591 |
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| 基于RAMP密度-刚度插值格式的结构拓扑优化 |
| Topological optimization using RAMP interpolation scheme |
| 修订日期：2003-10-08 |
| DOI：10.7511/jslx20055115 |
| 中文关键词: 拓扑优化 RAMP插值模型 优化准则法 混合过滤法 |
| 英文关键词:topology optimization,RAMP,Optimality Criteria Method,hybrid filtering method |
| 基金项目:国家“863”高技术研究发展计划(2003AA001031)，国家“973”重点基础研究发展计划(2003CB716207)资助项目 |
| 罗震 陈立平 黄玉盈 张云清 |
| [1]华中科技大学国家CAD支撑软件工程技术研究中心,武汉430074 [2]华中科技大学土木工程与力学学院,武汉430074 |
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| 中文摘要: |
| 基于RAMP密度-刚度插值格式和优化准则（OC）方法，提出一种改进的拓扑优化设计的数学模型及设计变量的迭代格式。对棋盘格式和网格依赖性等数值计算问题进行了综述和研究，针对敏度过滤技术中存在的“边缘扩散”现象，提出了一种混合的过滤技术。给出了拓扑优化设计的程序流程，用FORTRAN程序实现了算法，通过几个经典算例证明了本文所研究方法的有效性。 |
| 英文摘要: |
| A modified mathematical model as well as a modified iterative pattern for topology optimization of linear elastic continuum is proposed based on RAMP (Rational Approximation of Material properties) interpolation scheme and the Optimality Criteria Method,where minimization compliance is regarded as the objective.Numerical instabilities,such as checkerboards and mesh dependencies,are also surveyed and investigated.Considering the undesirable numerical side effects when the sensitivity filtering method is applied,a new hybrid filtering method is presented,which can improve side effects and eliminate numerical problems effectively.The methodologies for topological optimization presented in this paper are programmed using FORTRAN.To substantiate the efficiency of these methods adopted in this paper,illustrated examples are presented both for verification and application. |
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