# 利用形状优化来设计新结构

2015年 12月 29日

### 形状优化问题：梁的厚度 DT(\bar X)=T_0\left[C_0 (1-\bar X)^4 + C_1 \bar X (1-\bar X)^3 + C_2 \bar X^2 (1-\bar X)^2 +C_3 \bar X^3 (1-\bar X)^1 +C_4 \bar X^4\right]

\begin{aligned}& \underset{C_1 \cdots C_4}{\text{minimize:}}& Mass/M_0 \\& \text{subject to:}& C_4 < 0.9 \\& & |\mathbf{u}_A/u_{max}| < 1\end{aligned}

### 在 COMSOL Multiphysics 中实现这个问题
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