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Mechanical models for twisted cables and wire ropes involving complex contact interaction between fibers and their parts: mechanics of knots, splices and nets.

绞合电缆和钢丝绳的力学模型涉及纤维及其部件之间复杂的接触相互作用：结、接头和网的力学。

基本信息

批准号：
233359244
负责人：
Professor Dr. Alexander Konyukhov
金额：
--
依托单位：
Institut für Mechanik (IFM)
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2013
资助国家：
德国
起止时间：
2012-12-31 至 2017-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/233359244?language=en
关键词：
Mechanical models twisted cables wire

项目摘要

Wire strands, composite wire ropes and fiber bundles and their technical applications are posing very important practical problems as well as computationally challenging issues, which are mostly up to date unsolved, particularly also in the details. Only somehow approximate formulas are available, but problems as sliding and friction of separate parts and with other bodies as well as the cross-sectional deformation – important for the failure, fracture and durability of such structures – still remain open.Mechanical interactions for composite wire ropes and cables require besides consideration of mechanics for a single wire also the development of contact models for various kinematical situations such as twisted and intersected wires, wire strands and composite wire ropes, fiber bundles and knots as well as fabrics. The “curve-to-curve”' contact approach allows to describe the full relative kinematics of deformations and gives the large possibility to create exact and not simplified models of wire ropes, which can be used also for homogenization in case of composite ropes.A special finite beam element model enriched with an isogeometric technique allowing $C1$-continuity and will be developed as a basic model of ropes and wires. As an essential and efficient alternative a curvilinear “solid-beam” element also allowing $C1$-continuity and various anisotropies will be created. The contact interaction inside knots and composite ropes will be enriched with the possibility of anisotropic friction including not only classical tangential interaction, but also torsional interaction separately for each curve. The contact interaction between ropes and surfaces will be enriched with a description of “curvilinear rope on an arbitrary curvilinear surface”. An exact model of a composite wire rope with precise kinematics (a separated wire is deformable and is in contact) will be created. The developed finite element models will definitely improve the knot mechanics and allow the correct description of the behavior of the composite wire rope as well as the correct contact simulation of textile connections by fibres, fiber bundles and complete textiles – an up-to-now computationally unsolved problem.

钢丝绳、复合钢丝绳和纤维束及其技术应用提出了非常重要的实际问题和具有计算挑战性的问题，这些问题大多是目前尚未解决的，特别是在细节方面。只有一些近似公式可用，但仍然存在的问题，如独立部分和其他物体的滑动和摩擦，以及对此类结构的失效、断裂和耐久性很重要的横截面变形。复合钢丝绳和电缆的力学相互作用除了考虑单一钢丝的力学特性外，还需要建立各种运动情况的接触模型，如扭曲和交叉的电线、钢丝股和复合钢丝绳、纤维束和结子以及织物。“曲线-曲线”接触方法可以描述变形的全部相对运动学，并为创建精确的、不简化的钢丝绳模型提供了很大的可能性，这种模型也可以用于复合材料绳索的均化。一种特殊的有限梁单元模型丰富了允许$C1连续的等距技术，将被开发为绳索和钢丝绳的基本模型。作为一种基本而有效的替代方法，还将创建一种允许$C_1$-连续性和各种各向异性的曲线“实心梁”单元。各向异性摩擦不仅包括经典的切向相互作用，还包括每条曲线单独的扭转相互作用，从而丰富了结点和复合绳内部的接触相互作用。用“任意曲线表面上的曲线绳索”的描述来丰富绳索与曲面之间的接触作用。将创建具有精确运动学的复合钢丝绳的精确模型(分离的钢丝绳是可变形的，并且处于接触状态)。开发的有限元模型肯定会改进打结力学，并允许正确描述复合钢丝绳的行为，以及正确模拟纤维、纤维束和完整纺织品的接触连接--这是一个迄今在计算上尚未解决的问题。