基于ALE-ANCF 的多绳摩擦提升系统尾绳动力学建模 与仿真

Compensation cable is an important component of the multi-rope friction hoisting system, and its dynamic responses directly affect the system safety. In order to obtain the dynamic responses of the compensation cable and its collision interactions with the anti-collision beam, firstly, a dynamic model of the compensation cable with variable element lengths based on the ALE-ANCF finite element method was established, and the vibration response characteristics were obtained through numerical calculation. Secondly, a dynamic model of the compensation cable incorporating the collision process was developed by combining the Hertz contact theory, the collision position of the compensation cable was determined through the hierarchical bounding box method, and a variable step-size numerical integration strategy was proposed to simulate the collision process. Finally, the collision interactions between the compensation cable and the anti-collision beam were obtained numerically. The results show that based on the dynamic model of the compensation cable with variable element length, the numerical results agree well with a RecurDyn simulation and the experiment results.The height of the lowest point on the compensation cable is influenced by both the longitudinal and the lateral vibrations, and the fluctuation amplitude of the height of the lowest point is within 0.3 m. Due to the special "U"-shaped configuration of the compensation cable, there is an evident lateral tension near its bottom curved section, so that the closer to the bottom curved section, the larger the transverse vibration will be. The amplitude of the lateral vibration of the compensation cable can reach 0.5 m at the points of 3 m away from the lowest point. The maximum amplitude occurs during the deceleration. The two sides of the compensation cable have a vibrational tendency to approach each other and thus mainly collide with the inner side of the anti-collision beams. The anti-collision beams should be installed at least 0.4 m away from the compensation cables to avoid frequent collisions.