Contributions to Four-Positions Theory with Relative Rotations

机译：相对旋转对四位置理论的贡献

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We consider the geometry of four spatial displacements, arranged in cyclic order, such that the relative motion between neighbouring displacements is a pure rotation. We compute the locus of points whose homologous images lie on a circle, the locus of oriented planes whose homologous images are tangent to a cone of revolution, and the locus of oriented lines whose homologous images form a skew quadrilateral on a hyperboloid of revolution.

机译：我们考虑了四个空间位移的几何形状，这些空间位移以循环顺序排列，因此相邻位移之间的相对运动是纯旋转。我们计算出同源图像位于圆上的点的轨迹，同源图像与旋转圆锥相切的定向平面的轨迹以及同源图像在旋转双曲面上形成歪斜四边形的定向线的轨迹。

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来源
《New trends in mechanism science : Analysis and design》|2010年|p.21-28|共8页
会议地点 Cluj-Napoca(RO);Cluj-Napoca(RO)
作者
H.-P. Schrocker;
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作者单位

University Innsbruck, A-6020 Innsbruck, Austria;

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会议组织
原文格式 PDF
正文语种 eng
中图分类机械设计、计算与制图;
关键词
four-positions theory; rotation; discrete line congruence; study quadric;

机译：四位理论；回转;离散线同余二次学习;

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3. Relative motion across the eastern Tibetan plateau: Contributions from faulting, internal strain and rotation rates [J] . Zhang Z., McCaffrey R., Zhang P. Tectonophysics: International Journal of Geotectonics and the Geology and Physics of the Interior of the Earth . 2013,第Null期

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6. Subunit rotation of ATP synthase embedded in membranes: a or β subunit rotation relative to the c subunit ring [O] . Kazuaki Nishio, Atsuko Iwamoto-Kihara, Akitsugu Yamamoto, 2002

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7. Contributions to Four-Position Theory with Relative Rotations [O] . Schröcker, Hans-Peter 2009

机译：具有相对旋转的四位理论的贡献

Contributions to Four-Positions Theory with Relative Rotations

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