Developable mechanisms on right conical surfaces
Developable mechanisms on right conical surfaces
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DOI：
10.1016/j.mechmachtheory.2020.103813
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发表时间：
2020-07
影响因子：
5.2
通讯作者：
L. Hyatt;S. Magleby;L. Howell
中科院分区：
文献类型：
--
作者：
L. Hyatt;S. Magleby;L. Howell
提出了一种圆锥面可展机构的设计方法。通过将球形机构的关节轴线与划线对齐，可以以机构符合圆锥表面的方式创建连杆。术语定义映射到一个正确的圆锥机构。开发模型来描述相对于圆锥体的顶点的机制的运动，并连接到圆柱形的可开发的机制，使用投影角。回路求和法是一种确定球面机构所映射的圆锥体几何形状的方法。提出了一种位置分析方法，用以确定机构连杆上沿着任意点相对于圆锥几何的位置。这些方法也适用于多回路球面机构。
An approach for designing developable mechanisms on a conical surface is presented. By aligning the joint axes of spherical mechanisms to the ruling lines, the links can be created in a way that the mechanism conforms to a conical surface. Terminology is defined for mechanisms mapped onto a right cone. Models are developed to describe the motion of the mechanism with respect to the apex of the cone, and connections are made to cylindrical developable mechanisms using projected angles. The Loop Sum Method is presented as an approach to determine the geometry of the cone to which a given spherical mechanism can be mapped. A method for position analysis is presented to determine the location of any point along the link of a mechanism with respect to the conical geometry. These methods are also applied to multiloop spherical mechanisms.