电缆非线性弹性行为的模拟和参数化

IF 2.6 2区 工程技术 Q2 MECHANICS
Tian Zhao, Fabio Schneider-Jung, Joachim Linn, Ralf Müller
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引用次数: 0

摘要

这项工作有助于在几何非线性杆模型框架内对非线性弹性弯曲行为进行模拟、建模和表征。这些模型通常假定弯曲行为是线性的,但这对于某些复杂的柔性细长结构来说是不够的。一般来说,非线性弹性行为往往与非弹性行为并存。在这项工作中,我们利用参考曲率将非弹性变形纳入杆模型。我们提出了一种模拟非线性弹性弯曲行为的算法方法,该方法以 Cosserat 杆件理论为基础,通过最小化线性弹性能量来计算静态平衡。对于这种算法方法,在每次迭代中,静态平衡都是通过最小化具有局部恒定算法弯曲刚度值的势能来获得的。这些常数根据给定的非线性弹性结构定律进行更新,直到杆的状态收敛。为了根据测量值确定柔性细长结构(如电缆)的非线性弹性弯曲特性,我们提出了一个逆问题。通过求解该问题,我们旨在利用给定的测量值确定与曲率相关的弯曲刚度特性和参考曲率。我们首先提供了使用虚拟弯曲测量的示例,然后将弯曲测量应用于实际电缆。求解逆问题可得到物理上合理的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Simulation and parameterization of nonlinear elastic behavior of cables

Simulation and parameterization of nonlinear elastic behavior of cables

This work contributes to the simulation, modeling, and characterization of nonlinear elastic bending behavior within the framework of geometrically nonlinear rod models. These models often assume a linear constitutive bending behavior, which is not sufficient for some complex flexible slender structures. In general, nonlinear elastic behavior often coexists with inelastic behavior. In this work, we incorporate the inelastic deformation into the rod model using reference curvatures. We present an algorithmic approach for simulating the nonlinear elastic bending behavior, which is based on the theory of Cosserat rods, where the static equilibrium is calculated by minimizing the linear elastic energy. For this algorithmic approach, in each iteration the static equilibrium is obtained by minimizing the potential energy with locally constant algorithmic bending stiffness values. These constants are updated according to the given nonlinear elastic constitutive law until the state of the rod converges. To determine the nonlinear elastic constitutive bending behavior of the flexible slender structures (such as cables) from the measured values, we formulate an inverse problem. By solving it we aim to determine a curvature-dependent bending stiffness characteristic and the reference curvatures using the given measured values. We first provide examples using virtual bending measurements, followed by the application of bending measurements on real cables. Solving the inverse problem yields physically plausible results.

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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.
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