An efficient model for dynamic analysis and simulation of cable-pulley systems with time-varying cable lengths
An efficient model for dynamic analysis and simulation of cable-pulley systems with time-varying cable lengths
复制标题
用于时变电缆长度的电缆滑轮系统动态分析和仿真的有效模型
DOI：
10.1016/j.mechmachtheory.2017.06.009
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发表时间：
2017-10-01
影响因子：
5.2
通讯作者：
Wang, Gang
中科院分区：
文献类型：
--
作者：
Qi, Zhaohui;Wang, Jing;Wang, Gang
缆索滑轮系统由多节缆索、绞车和不同类型的滑轮组成。时变长度柔性缆索的运动建模以及缆索与绞车或滑轮之间的耦合运动是其动力学分析的主要难点。本文提出了一种有效的索轮系统动力分析模型。由于电缆的流动，材料坐标和空间坐标被明确区分。为了提高计算效率，在短时间内将拉索的轴向瞬时应变替换为轴向时均应变，以滤除高频分量。采用三次样条插值法对柔索进行离散化，得到了轴向拉伸应变、惯性力和重力的有效功率。根据缆索、绞车和两种不同类型滑轮的所有描述参数，建立了缆索-滑轮系统的控制方程。减少了索单元上内部节点的自由度。最后，通过三个典型的数值算例验证了该方法的有效性。(C)2017爱思唯尔有限公司。保留所有权利。
A cable-pulley system is composed of several segments of cables, winches and different types of pulleys. Modeling the motion of the flexible cable with time-varying length and the coupling motions between the cable and the winches or the pulleys are the major difficulties of its dynamic analysis. In this paper, an efficient model is presented for dynamic analysis of the cable-pulley system. Material coordinates and spatial coordinates are explicitly distinguished due to the flow of the cable. In order to improve computational efficiency, the axial instant strain of the cable is replaced by the axial time-averaged strain in a short time to filter out high frequency components. The flexible cable is discretized by cubic spline interpolation and the virtual powers of axial tensile strain, inertia and gravity forces are formulated. The governing equations of the cable-pulley system are assembled in terms of all description parameters of the cable, the winches and two different types of pulleys. The degrees of freedom (DOFs) of the internal nodes on the cable elements are reduced. At last, three typical numerical examples are demonstrated to prove the validity of this method. (C) 2017 Elsevier Ltd. All rights reserved.