Combining design responses for a condition-based topology or shape optimization


Add	$R_{1} + R_{2} + R_{3} + R_{4}$
Multiply	$R_{1} \times R_{2} \times R_{3} \times R_{4}$
Minimum	$M i n (R_{1}, R_{2}, R_{3}, R_{4})$
Maximum	$M a x (R_{1}, R_{2}, R_{3}, R_{4})$

For both condition-based topology and shape optimization the following methods are available for combining two design responses ( $R_{1}$ and $R_{2}$ ):


Subtract	$R_{1} - R_{2}$
Divide	$\frac{R_{1}}{R_{2}}$

For both condition-based topology and shape optimization the following methods are available for operating on a single design response:


Absolute value	$a b s (R_{1})$
Sine	$S i n (R_{1})$
Cosine	$C o s (R_{1})$
Tangent	$T a n (R_{1})$
Common logarithm	$L o g (R_{1})$
Natural logarithm	$L n (R_{1})$
Square root	$\sqrt{R_{1}}$
Exponential	$e x p (R_{1})$
N^th Root	$\sqrt[n]{R_{1}}$
N^th Power	$R_{1}^{n}$
Integer	$I n t (R_{1})$
Nearest integer number	$N i n t (R_{1})$
Sign	$S i g n (R_{1})$
$Δ_{i j}$ , the difference between two iterations	$R_{1} i - R_{1} j$