Table 2 L9 orthogonal array with three design parameters including rotation angle \({\varvec{\theta}}\), shape constant a, and length of Primitive-based unit cell L.

From: TPMS-based auxetic structure for high-performance airless tires with variable stiffness depending on deformation

Design parameter

Response

\(\theta\)(°)

a

L (mm)

Vertical stiffness (N/mm)

Energy absorption (mJ)

Poisson’s ratio

0

0.3

18

1.62

48.5

− 0.190

0

0.4

20

3.56

191.4

− 0.150

0

0.5

22

4.55

310.0

− 0.024

10

0.3

20

2.78

101.6

− 0.210

10

0.4

22

4.64

283.7

− 0.055

10

0.5

18

1.70

77.7

− 0.320

20

0.3

22

4.38

162.1

− 0.063

20

0.4

18

0.96

54.4

− 0.220

20

0.5

20

2.08

82.9

− 0.270

  1. Each parameter has three levels. Responses include vertical stiffness, energy absorption, and Poisson ratio.