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Regarding the \"degrees of freedom of bridge crane systems\", it is believed that people have relatively little understanding of this concept. In elastic vibration analysis, the degrees of freedom of a bridge crane system are the number of independent coordinates required to describe the spatial positions of all masses in the system. According to the elastic vibration analysis method, each simple elastic element possesses an infinite number of degrees of freedom. However, when many elastic component integrated systems vibrate simultaneously, it becomes difficult to control the degrees of freedom of the bridge crane; therefore, it is necessary to simplify the actual system of the bridge crane. When studying the degrees of freedom in bridge crane systems, experts found that the actual waveforms of mechanical component vibrations are primarily composed of low-frequency vibrations. If the machinery is simplified to a 1–3 degree of freedom system according to practical requirements, the analysis process becomes relatively simpler. The analysis of single-degree-of-freedom systems is the most basic approach for solution. As research on the analysis techniques and calculation methods for bridge crane systems progresses, the methods used to analyze multi-degree-of-freedom systems will evolve from being more complex to simpler.
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