| 王学林,胡于进,李成刚.基于物理的变形曲线在结构形状优化中的应用[J].计算力学学报,2005,22(1):124~128 |
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| 基于物理的变形曲线在结构形状优化中的应用 |
| Application of physicall deformable curves to structural shape optimization |
| 修订日期：2003-04-21 |
| DOI：10.7511/jslx20051026 |
| 中文关键词: 形状优化 NURBS 有限元法 参数化 |
| 英文关键词:shape optimization,NURBS curve,finite element method,parameterization |
| 基金项目: |
| 王学林 胡于进 李成刚 |
| 华中科技大学机械学院,湖北武汉430074 |
| 摘要点击次数: 1340 |
| 全文下载次数: 11 |
| 中文摘要: |
| 用各向异性模型定义NURBS曲线的变形能，基于所提出的变形能模型，用有限元法对NURBS曲线表达的设计边界进行模态计算，然后，将设计边界用模态向量的线性组合参数化表示。将这种基于边界特征向量的几何形状表示方法应用于优化参数定义．提出了一种适用于结构形状优化的自适应几何精化方法，它有效地将户型有限元分析、优化方法和设计边界的形状表达集成在一起。 |
| 英文摘要: |
| An anisotropic energy model of deformable curves is presented to provide shape modification of NURBS curve. The design boundaries is described by a linear combination of the mode shape vectors, which are derived from the eigenvectors of the finite element equations of the deformable design boundary cures. the design boundary deformation is then carried out through changes of the mode coordinates. Based on the present design variable representation and p - version finite element analysis, an integrated approach to structural shape optimization is discussed. A method is developed that enables the description of the shape to be adaptively refined during the shape optimization process. Numerical examples are used to demonstrate the applicability of this approach to structural shape optimization. |
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