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Automatic parameter selection ZVD shaping algorithm for crane vibration suppression based on particle swarm optimisation


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Fig. 1

The principle of a traditional ZVD shaping algorithm.
The principle of a traditional ZVD shaping algorithm.

Fig. 2

APS-ZVD shaping algorithm. APS-ZVD, automatic parameter selection zero-vibration-derivative.
APS-ZVD shaping algorithm. APS-ZVD, automatic parameter selection zero-vibration-derivative.

Fig. 3

The experiment platform
The experiment platform

Fig. 4

Pendulum angles recorded at the trolley's speed of 480 mm/s.
Pendulum angles recorded at the trolley's speed of 480 mm/s.

Fig. 5

Fitness curve of PSO
Fitness curve of PSO

Fig. 6

The trolley speeds and pendulum swing angles with and without APS-ZVD algorithm. APS-ZVD, automatic parameter selection zero-vibration-derivative.
The trolley speeds and pendulum swing angles with and without APS-ZVD algorithm. APS-ZVD, automatic parameter selection zero-vibration-derivative.

Fig. 7

(a) The FFT of swing angle with and without APS-ZVD shaper. (b) The sensitivity profile of APS-ZVD shaper. APS-ZVD, automatic parameter selection zero-vibration-derivative.
(a) The FFT of swing angle with and without APS-ZVD shaper. (b) The sensitivity profile of APS-ZVD shaper. APS-ZVD, automatic parameter selection zero-vibration-derivative.

Fig. 8

Vibration suppression curves of APS-ZVD with different lengths of pendulum. APS-ZVD, automatic parameter selection zero-vibration-derivative.
Vibration suppression curves of APS-ZVD with different lengths of pendulum. APS-ZVD, automatic parameter selection zero-vibration-derivative.

Initial parameters of PSO

Number parameter Value
1 0.6
2 wc1 2
3 c2 2
4 Dimension 2
5 η1 1
6 η2 1

Vibration suppression effect

No. Pendulum length (mm) Damping percentage (%) Peak swing angle (°) Adjusting time (s)
1 14.5 89.85 5.63 1.90
2 15.5 86.87 5.889 1.72
3 12.5 62.46 7.56 2.26
eISSN:
2444-8656
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics