Determination of mechanism’s order for kinematically and statically indetermined systems
Determination of mechanism’s order for kinematically and statically indetermined systems
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DOI：
10.1016/s0020-7683(99)00178-x
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发表时间：
2000-07
影响因子：
3.6
通讯作者：
N. Vassart;R. Laporte;R. Motro
中科院分区：
文献类型：
--
作者：
N. Vassart;R. Laporte;R. Motro
本文研究了运动超静定网格系统中的机构问题。与指定机构相关联的构件的长度变化幅度的知识允许确定机构顺序。这是这些系统的基本特征，主要是出于稳定性考虑。我们提交的一个部分，简单的测试，允许区分“一阶机制”和机制的高阶，并在另一部分的算法，让访问与一个给定的网状系统的所有机制，以准确的值。利用该算法可以识别一阶机构和高阶机构。文中给出了一些简单的例子来说明这些方面。最后，我们提出了一个停止准则的算法，使访问的有限机构的大多数建设性的网状系统。
This paper deals with the mechanisms in kinematically and statically indeterminate reticulated systems. Knowledge of length variation amplitude for members in association with an assigned mechanism allows determination of mechanism order. This is a fundamental characteristic of these systems, mainly for stability considerations. We submit on one part, simple tests allowing distinction between “order one mechanisms” and mechanisms of higher order, and on the other part an algorithm giving access to order exact value for all mechanisms associated with a given reticulated system. With this algorithm, order one mechanisms and higher order mechanisms are identified. Simple examples are given in the text and illustrate these aspects. In conclusion, we submit a stop criterion for the algorithm which gives access to the finite mechanisms for most of constructive reticulated systems.