用鬃毛模型和任意拉格朗日-欧勒方法对提升作业中的绳索-滑轮接触进行瞬态分析

IF 2.6 2区 工程技术 Q2 MECHANICS Multibody System Dynamics Pub Date : 2024-06-18 DOI:10.1007/s11044-024-10000-w
José L. Escalona
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引用次数: 0

摘要

本文介绍了当采用任意拉格朗日-欧勒方法对绳索进行建模时,针对缆绳系统中绳索-滑轮接触相互作用的计算模型的开发情况。这种离散化方法已在以前的出版物中作为建模和模拟缆索系统的通用和系统化方法进行了开发。然而,本文避免了假定无滑动接触条件下的绳索-滑轮接触模型。本文开发的接触模型引入了专门的 ALE-ANCF 立方体绳接触元素,用于离散化卷绕在滑轮上的绳段。该接触模型使用一组虚拟离散刷毛来建模,这些刷毛一端连接在绳索中线的材料点上,另一端与滑轮接触。因此,除了用于离散绳索的 ALE 网格外,还使用了第二个拉格朗日网格来定义刷毛的固定端。本文详细介绍了用于计算法向和切向接触力的运动学和动力学。接触模型是三维的,可用于分析与任意形状的滑轮槽的接触。切向接触力模型可用于描述粘滞和滑移接触条件,为了提高模型的模拟性能,使用了 LuGre 正则化切向接触力模型。绳索-滑轮接触模型用于分析简单电梯系统的行为。数值结果表明,静态的绳索-滑轮接触相互作用与问题的分析解十分吻合。最后,对同一电梯系统进行了动态分析,轿厢高度为 8 米,稳定速度为 1 米/秒。结果表明,稳定速度期间的法向力和切向力与静态解法差别不大,但与经典的蠕变理论和 Firbank 理论差别很大。
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Rope–sheave contact transient analysis in hoisting operations with a bristle model and an arbitrary Lagrangian–Eulerian approach

This paper describes the development of a computational model for the rope–sheave contact interaction in reeving systems when the ropes are modeled with an arbitrary Lagrangian–Eulerian approach. This discretization approach has been developed in previous publications as a general and systematic method for the modeling and simulation of reeving systems. However, the rope–sheave contact model was avoided assuming the no-slip contact condition. The contact model developed in this paper introduces specialized ALE-ANCF-cubic rope contact elements that are used to discretize the rope segment winded at the sheave. The contact is modeled using a set of virtual discrete bristles attached to material points in the mid-line of the rope in one end and in contact with the sheave in the other end. Therefore, a second Lagrangian mesh, apart of the ALE mesh used to discretize the rope, is used to define the fixed ends of the bristles. The kinematics and dynamics used to calculate the normal and tangential contact forces are described in detail. The contact model is 3D and can be used to analyze the contact with a sheave groove with arbitrary shape. The tangential contact force model can be used to describe stick and slip contact conditions and, to improve the simulation performance of the model, an LuGre regularization tangential contact force model is used. The rope-sheave contact model is used to analyze the behavior of a simple elevator system. The numerical results show that the static rope-sheave contact interaction agrees well with an analytical solution of the problem. Finally, the same elevator system is analyzed dynamically for a cabin ride of 8 meters with a steady velocity of 1 m/s. Results show that the normal and tangential contact forces during the steady velocity period are not so different from the static solution, but very different from the classical Creep Theory and Firbank’s Theory.

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来源期刊
CiteScore
6.00
自引率
17.60%
发文量
46
审稿时长
12 months
期刊介绍: The journal Multibody System Dynamics treats theoretical and computational methods in rigid and flexible multibody systems, their application, and the experimental procedures used to validate the theoretical foundations. The research reported addresses computational and experimental aspects and their application to classical and emerging fields in science and technology. Both development and application aspects of multibody dynamics are relevant, in particular in the fields of control, optimization, real-time simulation, parallel computation, workspace and path planning, reliability, and durability. The journal also publishes articles covering application fields such as vehicle dynamics, aerospace technology, robotics and mechatronics, machine dynamics, crashworthiness, biomechanics, artificial intelligence, and system identification if they involve or contribute to the field of Multibody System Dynamics.
期刊最新文献
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