Impulse input shaping crane anti-swing method
A pulse input, crane technology, applied in the direction of transportation and packaging, load hanging components, etc., can solve problems such as lifting swings, cargo not arriving in time, affecting crane loading and unloading efficiency, etc.
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[0062] The trolley running horizontally in the lifting equipment, the rope connecting the load and the hoisting weight are regarded as a moving single pendulum system, such as figure 1 shown.
[0063] The following assumptions are made for the above model:
[0064] Assumption 1: The trolley and the load are regarded as particles with a certain mass, and the crane does not produce relative motion when it is stationary.
[0065] Assumption 2: The rope has negligible mass and is not stretchable in length.
[0066] Assumption 3: The influence of wind force and air resistance on the load is not considered.
[0067] According to Newton's laws of motion, the mathematical model of the system is:
[0068]
[0069] in k is the amplitude when the pendulum angle is finally stable, ω n is the oscillation frequency of the system, and ξ is the damping ratio.
[0070] The impulse response of the system is:
[0071]
[0072] By giving impulse responses of different amplitudes at ...
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