Multibody System Dynamics ( IF 3.4 ) Pub Date : 2021-08-25 , DOI: 10.1007/s11044-021-09799-5 Armin Bosten 1, 2 , Alejandro Cosimo 1, 3 , Olivier Brüls 1 , Joachim Linn 2
This paper describes the quasi-static formulation of frictionless line contact between flexible beams by employing the mortar finite element approach. Contact constraints are enforced in a weak sense along the contact region using Lagrange multipliers. A simple projection appropriate for thin beams with circular cross-sections is proposed for the computation of contact regions. It is combined with the geometrically exact beam formalism on the Lie group \(SE(3)\). Interestingly, this framework leads to a constraint gradient and a tangent stiffness invariant under rigid body transformations. The formulation is tested in some numerical examples.
中文翻译:
用于无摩擦线对线梁接触的砂浆配方
本文采用砂浆有限元方法描述了柔性梁之间无摩擦线接触的准静态公式。使用拉格朗日乘子沿接触区域在较弱的意义上强制执行接触约束。提出了一种适用于具有圆形横截面的薄梁的简单投影,用于计算接触区域。它与李群\(SE(3)\)上几何上精确的束形式主义相结合。有趣的是,该框架在刚体变换下导致约束梯度和切线刚度不变。该公式在一些数值示例中进行了测试。