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- W3141966191 abstract "平面 kinematics 基于 centrodes 系统地被学习了,然而, axodes 是 underutilized 在球形、空间的 kinematics 建立弯曲理论。通过一条球形的伴随途径,球形的 kinematics 的一个基于 axode 的理论系统被建立。球形的运动是由伴随途径和球形的立刻的中心的向量方程的 re-described 简明地被导出。为球形的运动的动人、修理的 axodes 被印射到一个单位范围上获得球形的 centrodes,其运动学的 invariants 完全反映球形的运动的内在的性质。在球形的运动基于球形的 centrodes,为一个点的弯曲理论和僵硬身体的一架飞机被球形的固定的点和飞机条件揭示。为点路径的 Euler-Savary 类似物被介绍。与更高的顺序弯曲特征跟踪点借助于代数学的方程位于动人的身体。为飞机信封,构造参数被获得。为飞机信封和圆形的圆柱的表面或圆形的圆锥形的表面的吻的条件被给。一个球形的四酒吧的连接作为一个例子被拿表明球形的伴随途径和弯曲理论。研究作为逻辑起点与 axode 建议系统的球形的弯曲理论,并且从基于 centrode 的平面 kinematics 建立一座桥到基于 axode 的空间 kinematics。" @default.
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- W3141966191 date "2014-01-01" @default.
- W3141966191 modified "2023-09-23" @default.
- W3141966191 title "Curvature Theory for Point-Path and Plane-Envelope in Spherical Kinematics by New Adjoint Approach" @default.
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