An important stage in an analysis of a multibody system (MBS) with elastic elements by the finite element method is the assembly of the equations of motion for the whole system. This assembly, which seems like an empirical process as it is applied and described, is in fact the result of applying variational formulations to the whole considered system, putting together all the finite elements used in modeling and introducing constraints between the elements, which are, in general, nonholonomic. In the paper, we apply the method of Maggi’s equations to realize the assembly of the equations of motion for a planar mechanical systems using finite two-dimensional elements. This presents some advantages in the case of mechanical systems with nonholonomic liaisons.

中文翻译：

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基于平面机械弹性系统动力响应的新型解析方法

用有限元方法分析具有弹性元件的多体系统（MBS）的重要阶段是组装整个系统的运动方程。这个程序集在应用和描述时似乎是一个经验过程，实际上是将变分公式应用于整个系统的结果，将建模中使用的所有有限元放在一起，并在这些元之间引入约束，即通常，非完整的。在本文中，我们应用Maggi方程的方法来实现使用有限二维元素的平面机械系统的运动方程的组合。在具有非完整联络的机械系统的情况下，这具有一些优势。