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首页> 外文期刊>IEEE Transactions on Robotics >Structural Shakiness of Nonoverconstrained Translational Parallel Mechanisms With Identical Limbs
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Structural Shakiness of Nonoverconstrained Translational Parallel Mechanisms With Identical Limbs

机译:具有相同肢体的非过度约束平移并联机构的结构抖动

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摘要

One important category of parallel mechanisms is the translational parallel mechanism (TPM). This paper focuses on the structural shakiness of the nonoverconstrained TPM. Such a structural shakiness is due to the unavoidable lack of rigidity of the real bodies, which leads to uncheckable orientation changes of the moving platform of a TPM. Using algebraic properties of displacement subsets and, especially, displacement Lie subgroup theory, we show that the structural shakiness of the nonoverconstrained TPM is inherently determined by the structural type of its limb chains. A structural shakiness index (SSI) for a nonoverconstrained TPM is introduced. When the set of feasible displacements of the end body of a 5-degree-of-freedom (DOFs) limb chain contains two infinities of parallel axes of rotation, we have SSI $= 2$; when the displacement set of the end body of a 5-DOF limb chain contains only one infinity of parallel axes of rotation, we have SSI $= 1$. It is proven that nonoverconstained TPMs constructed with limb chains with SSI $= 1$ are much less prone to orientation changes than those constructed with limb chains with SSI $= 2$. Based on the SSI, we enumerate limb kinematic chains and construct 21 nonoverconstrained TPMs with less shakiness.
机译:并行机制的重要一类是翻译并行机制(TPM)。本文重点关注非过度约束的TPM的结构不稳定。这种结构上的晃动是由于实体不可避免地缺乏刚度,这导致了TPM的移动平台无法控制的方向变化。使用位移子集的代数性质,尤其是位移李子群理论,我们表明,非过度约束的TPM的结构抖动固有地由其肢体链的结构类型决定。引入了用于非过度约束TPM的结构抖动指数(SSI)。当一个5自由度(DOF)肢端链的可行位移集包含两个无限的平行旋转轴时,我们的SSI $ = 2 $;当一个5自由度肢体链的末端主体的位移组仅包含一个无限大的平行旋转轴时,我们的SSI $ = 1 $。事实证明,用SSI $ = 1 $的肢体链构建的非过度约束的TPM比用SSI $ = 2 $的肢体链构建的TPM更不容易发生方向变化。基于SSI,我们枚举肢体运动链,并构建了21个不受抖动限制的非过度约束TPM。

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