“…As with the double-pendulum cranes transporting point-mass payloads, increasing suspension cable length decreases the first-mode oscillation frequencies, while the payload mass has little effect on the first-mode frequency. Small variations in the mass ratio result in large changes in the second-mode frequency, while the suspension length has a small influence on the second-mode frequency [10,24]. The first-mode frequencies range from 0.40 Hz to 0.63 Hz, while the second-mode frequencies vary from 1.13 Hz to 1.65 Hz.…”