高速电梯垂直方向动力学建模与计算研究  

Vertical Direction Dynamic Modeling and Calculation of High-speed Elevators

作　　者：侯璋天 张洪 郑豪 田中旭 李奇彦 HOU Zhangtian;ZHANG Hong;ZHENG Hao;TIAN Zhongxu;LI Qiyan(College of Engineering Science Technology,Shanghai Ocean University,Shanghai 201306,China;Hitachi Elevator(Shanghai)Co.,Ltd.,Shanghai 201700,China)

机构地区：[1]上海海洋大学工程学院,上海201306 [2]日立电梯(上海)有限公司,上海201700

出　　处：《噪声与振动控制》2023年第1期86-92,共7页Noise and Vibration Control

摘　　要：为研究高速电梯振动问题,基于理论建模结合数值计算完成高速电梯垂直方向振动分析。基于子结构法建立适应性强的系统动力学模型,采用拉格朗日方程、牛顿定律等处理曳引轮、补偿轮、轿厢等构件的动力学模型,并建立单元数可变的钢丝绳动力学模型;在数值计算方面,采用乔里斯基分解结合雅克比迭代方法计算自然频率和振型;采用ADAMS动力学仿真与实验测试相结合的方式对模型和数值计算进行验证;探讨载重、轿厢高度、绳头弹簧刚度等参数对振动特性的影响规律。研究成果可为高速电梯设计提供一定借鉴。The vertical vibration of high-speed elevators is analyzed by theoretical modeling and numerical algorithm.A dynamic model of the elevator with strong adaptability is established based on substructure method. Lagrange equation and Newton’s law are used to establish the dynamic models of traction wheel, compensation wheel, cage and other components. Then, the wire rope dynamic model with variable number of elements is established. In terms of numerical calculation, the natural frequency and mode shapes are calculated by using the Cholesky decomposition combined with the Jacobi iteration method. The model and numerical calculations are verified by dynamic simulation of ADAMS code and experimental tests. The influences of the load, the height of the carriage, rope spring stiffness and some other parameters on the vibration performances are discussed. The research results may provide a reference for different high-speed elevator designs.

关 键 词：振动与波 高速电梯 动力学模型 子结构法 模态分析 

分 类 号：TK113.1[动力工程及工程热物理—热能工程]