隐含的摩擦动力学与软约束
IEEE transactions on visualization and computer graphics
|August 2, 2024
概括
在动力学模拟中的滞后摩擦模型可能在粘滑值附近不准确,这是由于力滞后而不是光滑. 这项研究评估了滞后与隐性摩擦,为准确的模拟提供了改进.
科学领域:
- 计算物理学的计算物理.
- 机械工程 机械工程 机械工程
- 计算机图形 计算机图形
背景情况:
- 使用摩擦接触的动力学模拟对于诸如布模拟和对象操纵等应用至关重要.
- 最近的方法利用光滑的滞后摩擦力来进行强大和可分化的弹性动力学模拟.
- 然而,现有的滞后摩擦模型可能会表现出不准确性,并且无法汇聚到分析解决方案.
研究的目的:
- 与隐式摩擦接触系统相比,评估滞后摩擦模型的准确性.
- 确定模拟摩擦行为的不准确性的主要原因,特别是在棒滑门附近.
- 提出和展示精确和强大的动力学模拟与摩擦的改进.
主要方法:
- 对滞后摩擦模型与隐式摩擦接触系统进行比较分析.
- 调查贴滑门附近的不准确情况.
- 在隐式和滞后摩擦系统中应用高阶时间集成方法.
- 使用前置模式自动分化来增强不准确的牛顿方法.
主要成果:
- 靠近stick-slip值的滞后摩擦模型中的重大不准确性源于力滞后,而不是从Coulomb摩擦曲线的平滑中产生的.
- 展示了含蓄或滞后摩擦系统的正确使用与更高阶时间集成,解决先前方法的局限性.
- 前进模式的自动差异化简化并可能提高不准确的牛顿方法的性能.
- 复杂的现象,包括粘滑行为和压缩介质中的体积保存,可以有效地模拟.
结论:
- 滞后摩擦模型需要仔细实施,以避免不准确,特别是在像stick-slip这样的关键过渡附近.
- 提出的方法提高了动力学模拟与摩擦的准确性和稳定性.
- 该研究为各种科学和工程领域的更可靠和多功能摩擦接触模拟提供了基础.
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