Multi-cycle calculation method for vibration and energy of axial movement rope equipment

The invention discloses a multi-cycle calculation method for vibration and energy of axial movement rope equipment. The multi-cycle calculation method comprises the following steps: 1, acquiring a traveling wave solution of a first cycle; 2, expanding the expression of each traveling wave solution to any period; and 3, calculating the traveling wave energy and the change rate thereof. According to the method, the vibration displacement and the energy change of the rope equipment under the fixed-damping boundary condition can be accurately obtained, so that a proper damping value is selected to achieve the purpose of vibration reduction of the rope equipment, the method has the advantages of being accurate in calculation and high in efficiency, and the design period of vibration reduction design of the movable rope equipment can be greatly shortened. 本发明公开了一种轴向移动绳索设备振动和能量的多周期计算方法，其步骤包括：1、获取第一个周期的行波解；2、将各行波解的表达式拓展到任意周期；3、计算行波能量及其变化率。本发明能精确获取固定-阻尼边界条件下绳索设备的振动位移和能量变化，从而选取合适的阻尼值，以达到绳索设备减振的目的，并具有计算精确、效率高的优势，能够大大缩短移