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Modular kinematics of planar mechanisms with prismatic pairs and flexible links

机译:具有棱镜对和柔性环节的平面机制模块化运动学

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摘要

The kinematic models of revolute and prismatic pairs in presence of flexible bodies are discussed. Both discrete and continuous representations of body deformations are considered. In particular, it is shown, by geometrical considerations and anumerical example, that, for chains with prismatic pairs, a discrete approach can lead to geometrically wrong results. RRR and RPR single loop modules with flexible links are introduced and a continuous representation of flexibility for the "guide" bodyis adopted to obtain a model of the RPR closed chain. The closure equation that determine the pair variable of the prismatic pair is given. An example of solution of the RPR chain is compared with a graphical model created with a variational CAD systemand with the results obtained by a discrete approach.
机译:讨论了柔性体存在下旋转和棱镜对的运动学模型。考虑了身体变形的离散和连续表示。特别地,通过几何考虑和多重示例示出了,对于具有棱柱形对的链,离散方法可以导致几何上的结果。 RRR和RPR单环模块具有柔性链路,并连续表示采用的“指南”正常的灵活性,以获得RPR封闭链的模型。给出了确定棱镜对的对变量的闭合方程。将RPR链的解决方案的示例与用不同的CAD系统产生的图形模型进行比较,并通过离散方法获得的结果。

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