Aspects of Symbolic Formulations in Flexible Multibody Systems
Aspects of Symbolic Formulations in Flexible Multibody Systems
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DOI：
10.1115/1.4025897
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发表时间：
2014-10
影响因子：
2
通讯作者：
M. Burkhardt;R. Seifried;P. Eberhard
中科院分区：
文献类型：
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作者：
M. Burkhardt;R. Seifried;P. Eberhard
柔性多体系统的符号建模是一项具有挑战性的任务。对于由数值模型（例如有限元模型）描述的复杂形状的弹性体尤其如此。在这种情况下，柔性体的运动学和动态特性是数值的，并且弹性变形是用一定数量的局部形状函数来描述的，这导致必须处理大量的数据。这两个属性都不建议使用符号工具来建模灵活的多体系统。尽管如此，有几种符号多体代码可以以非常有效的方式处理灵活的多体系统。在本文中，我们提出了支持柔性体所需的符号研究代码 Neweul-M2 的一些修改。在这些修改的基础上，可以消除由于数值柔性体而引起的上述限制。此外，即使存在这些纯数字柔性体，也可以重新建立所创建的运动方程的符号特征。
The symbolic modeling of flexible multibody systems is a challenging task. This is especially the case for complex-shaped elastic bodies, which are described by a numerical model, e.g., an FEM model. The kinematic and dynamic properties of the flexible body are in this case numerical and the elastic deformations are described with a certain number of local shape functions, which results in a large amount of data that have to be handled. Both attributes do not suggest the usage of symbolic tools to model a flexible multibody system. Nevertheless, there are several symbolic multibody codes that can treat flexible multibody systems in a very efficient way. In this paper, we present some of the modifications of the symbolic research codeNeweul-M2which are needed to support flexible bodies. On the basis of these modifications, the mentioned restrictions due to the numerical flexible bodies can be eliminated. Furthermore, it is possible to re-establish the symbolic character of the created equations of motion even in the presence of these solely numerical flexible bodies.