摘要
虚拟层合单元可以应用于结构的形状优化。这一单元的主要思想在于引入了弹性模量等于零即无实际材料的虚拟层,基于这一特点,单元内层的厚度被取作设计变量,而决定外部边界的单元节点坐标在优化过程中却始终保持不变。于是,有限元网格只在优化初始生成一次,优化过程无需改变原始数据,由此避免了通常形状优化方法所需要的单元网格重新划分。拱坝形状优化过程中利用有限元法作为结构分析方法,而不是通常的拱梁分载法。1型拱坝的算例说明了这一方法的有效性和实用性。
The Virtual Laminated Element Method （VLEM） is applied to structural shape optimization. The basic idea of VLEM lies in the introduction of the concept of virtual layer. The virtual layer does not contain any real material at all, i.e., the elastic modulus of the virtual layer is zero. Because of the characteristics of VLEM, thickness values of the interior layer of the element are taken as design variables, meanwhile the element node coordinates determining exterior boundary remain fixed. Thus, initial finite element grids remain unchanged during optimization process and re-meshing is avoided. The finite element method, instead of the usual Arch-Beam Load Distribution Method, is applied to the structural analysis in the shape optimization of arch-dam. As an example, an Ⅰ-shaped arch dam is studied to show the validity and applicability of the proposed method.
出处
《工程力学》
EI
CSCD
北大核心
2005年第4期179-186,共8页
Engineering Mechanics
基金
国家自然科学基金资助项目(50075083)
关键词
固体力学
形状优化
虚拟层合单元
有限元法
拱坝
solid mechanics
shape optimization
virtual laminated element
finite element method
arch dam
