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首页> 外文期刊>Journal of Mechanical Design >Planar Motion Synthesis Using an Approximate Bi-Invariant Metric
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Planar Motion Synthesis Using an Approximate Bi-Invariant Metric

机译:使用近似双不变度量的平面运动合成

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摘要

In this paper we present a technique for using a bi-invariant metric in the image space of spherical displacements for designing planar mechanisms for n (> 5) position rigid body guidance. The goal is to perform the dimensional synthesis of the mechanism such that the distance between the position and orientation of the guided body to each of the n goal positions is minimized. Rather than measure these distances in the plane, we introduce an approximating sphere and identify rotations which are equivalent to the planar displacements to a specified tolerance. We then measure distances between the rigid body and the goal positions using a bi-invariant metric on the image space of spherical displacements. The optimal linkage is obtained by minimizing this distance for each of the n goal positions.
机译:在本文中,我们提出了一种在球面位移的图像空间中使用双不变度量来设计n(> 5)个位置刚体引导的平面机构的技术。目的是执行机构的尺寸合成,以使被引导物体的位置和方向到n个目标位置中的每个目标位置之间的距离最小。我们不是在平面中测量这些距离,而是引入一个近似球体并标识与平面位移等效的旋转,并达到指定的公差。然后,我们使用球面位移图像空间上的双不变度量来测量刚体与目标位置之间的距离。通过使n个球门位置中的每个球门位置的距离最小化来获得最佳链接。

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