A level-set method for vibration and multiple loads structural optimization
A level-set method for vibration and multiple loads structural optimization
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DOI：
10.1016/j.cma.2004.12.018
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发表时间：
2005-08
影响因子：
7.2
通讯作者：
G. Allaire;F. Jouve
中科院分区：
文献类型：
--
作者：
G. Allaire;F. Jouve
我们将用于形状和拓扑优化的水平集方法扩展到新的目标函数，如特征频率和多个载荷。该方法结合了经典的形状导数和Osher-Sethian水平集前向传播算法。在二维和三维空间中，我们最大化第一特征频率，或者最小化与不同加载配置相关的柔度的加权和。在哈密顿-雅可比方程中，形状导数被用作平流速度来改变形状。这种水平集方法是一种低成本的形状捕获算法，适用于固定的欧拉网格，并且可以很容易地处理拓扑变化。
We extend the level-set method for shape and topology optimization to new objective functions such as eigenfrequencies and multiple loads. This method is based on a combination of the classical shape derivative and of the Osher–Sethian level-set algorithm for front propagation. In two and three space dimensions we maximize the first eigenfrequency or we minimize a weighted sum of compliances associated to different loading configurations. The shape derivative is used as an advection velocity in a Hamilton–Jacobi equation for changing the shape. This level-set method is a low-cost shape capturing algorithm working on a fixed Eulerian mesh and it can easily handle topology changes.