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Table 2 Trajectory (geometric) points for mathematical oscillatory/undulatory propulsive waveforms

From: Kinematic study and implementation of a bio-inspired robotic fish underwater vehicle in a Lighthill mathematical framework

 

NURB cubic

SINC

DIRIC

Anguilliform

 

xpos

ypos

xpos

ypos

xpos

ypos

xpos

ypos

1 (start point)

0.500000

0.029700

0.500000

0.029700

0.500000

0.029700

0.500000

0.029700

2

0.603409

0.055233

0.635629

0.162066

0.635703

0.162282

0.635182

0.160746

3

0.728721

0.208521

0.767983

0.245970

0.768066

0.246040

0.767476

0.245543

4

0.830356

0.271654

0.853999

0.283398

0.854045

0.283419

0.853722

0.283270

5

0.881458

0.293319

0.889869

0.296513

0.889884

0.296518

0.889780

0.296480

6

0.897237

0.299041

0.898814

0.299597

0.898817

0.299598

0.898800

0.299592

7

0.899771

0.299921

0.899912

0.299970

0.899912

0.299970

0.899911

0.299970

8

0.899984

0.299995

0.899994

0.299998

0.899994

0.299998

0.899994

0.299998

9 (end point)

0.900000

0.300000

0.900000

0.300000

0.900000

0.300000

0.900000

0.300000