In this work a new formulation for flexible multibody systems is presented based on the floating frame formulation. In this method, the absolute interface coordinates are used as degrees of freedom. To this end, a coordinate transformation is established from the absolute floating frame coordinates and the local interface coordinates to the absolute interface coordinates. This is done by assuming linear theory of elasticity for a body’s local elastic deformation and by using the Craig–Bampton interface modes as local shape functions. In order to put this new method into perspective, relevant relations between inertial frame, corotational frame and floating frame formulations are explained. As such, this work provides a clear overview of how these three well-known and apparently different flexible multibody methods are related. An advantage of the method presented in this work is that the resulting equations of motion are of the differential rather than the differential-algebraic type. At the same time, it is possible to use well-developed model order reduction techniques on the flexible bodies locally. Hence, the method can be employed to construct superelements from arbitrarily shaped three dimensional elastic bodies, which can be used in a flexible multibody dynamics simulation. The method is validated by simulating the static and dynamic behavior of a number of flexible systems.

中文翻译：

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关于在参考配方的浮动框架中使用绝对界面坐标以实现灵活的多体动力学。

在这项工作中，提出了一种基于浮动框架公式的柔性多体系统的新公式。在这种方法中，绝对界面坐标用作自由度。为此，建立从绝对浮动框坐标和局部界面坐标到绝对界面坐标的坐标变换。这是通过假设线性线性弹性理论针对物体的局部弹性变形并通过使用Craig-Bampton界面模式作为局部形状函数来完成的。为了使这种新方法成为现实，解释了惯性框架，配角框架和浮动框架公式之间的相关关系。因此，这项工作清楚地概述了这三种众所周知的且显然不同的灵活多体方法之间的关系。在这项工作中提出的方法的一个优点是，所产生的运动方程是微分而不是微分代数类型的。同时，可以在柔性体上局部使用成熟的模型降阶技术。因此，该方法可用于从任意形状的三维弹性体构造超元，可用于柔性多体动力学仿真。通过模拟许多灵活系统的静态和动态行为验证了该方法。该方法可用于从任意形状的三维弹性体构造超元，可用于柔性多体动力学仿真。通过模拟许多灵活系统的静态和动态行为验证了该方法。该方法可用于从任意形状的三维弹性体构造超元，可用于柔性多体动力学仿真。通过模拟许多灵活系统的静态和动态行为验证了该方法。