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Transitory second-order reciprocal connection for two surfaces in point contact

机译:点接触的两个表面的暂态二阶互易连接

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This paper investigates the instantaneous spatial higher pair to lower pair substitute-connection which is kinematically equivalent up to acceleration analysis for two smooth surfaces in point contact. The existing first-order equivalent substitute-connection consisting of a Hooke's joint (U-joint) and a spherical joint (S-joint) connected by an additional link is extended up to second-order. A two step procedure is chalked out for achieving this equivalence. First, the existing method is employed for velocity equivalence. In the second step, the two centers of substitution are obtained as a conjugate relationship involving the principal normal curvatures of the surfaces at the contact point and the screw coordinates of the instantaneous screw axis (ISA) of the first-order relative motion. Unlike the classical planar replacement, this particular substitution cannot be done by merely examining the profiles of the contacting surfaces. An illustrative example of a three-link direct-contact mechanism is presented. (C) 2014 Elsevier Ltd. All rights reserved.
机译:本文研究瞬时空间高对低等对替代连接,在运动学上等效于点接触中两个光滑表面的加速度分析。现有的由Hooke接头(U形接头)和球形接头(S形接头)通过附加连杆连接的一阶等效替代连接扩展到二阶。为实现这一等效性,分了两步程序。首先,将现有方法用于速度等效。在第二步中,获得两个替换中心作为共轭关系,该共轭关系涉及接触点表面的主要法线曲率和一阶相对运动的瞬时螺杆轴(ISA)的螺杆坐标。与经典的平面替换不同,不能仅通过检查接触表面的轮廓来完成此特定替换。给出了三链接直接接触机制的说明性示例。 (C)2014 Elsevier Ltd.保留所有权利。

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