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Aspects of Symbolic Formulations in Flexible Multibody Systems

机译:柔性多体系统中符号配方的各个方面

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摘要

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 code Neweul-M-2 which 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.
机译:柔性多体系统的符号建模是一项艰巨的任务。对于复杂形状的弹性体,尤其是这种情况,其由数值模型(例如)描述。例如,有限元模型。在这种情况下,柔性体的运动学和动力学特性是数值的,并且弹性变形用一定数量的局部形状函数来描述,这导致必须处理大量数据。这两个属性均不建议使用符号工具来建模灵活的多体系统。尽管如此,仍有几种符号化的多体代码可以非常有效地处理灵活的多体系统。在本文中,我们提出了对符号研究代码Neweul-M-2的一些修改,这些修改对于支持柔性体是必需的。基于这些修改,可以消除由于数字柔性体引起的上述限制。此外,即使在这些仅是数字柔性体的情况下,也可以重新建立所创建的运动方程的符号特征。

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