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首页> 外文期刊>Journal of Mechanical Design >A Computer-Aided Design Technique for Semi-Automated Infinite Point Coupler Curve Synthesis of Four-Bar Linkages
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A Computer-Aided Design Technique for Semi-Automated Infinite Point Coupler Curve Synthesis of Four-Bar Linkages

机译：四杆连杆半自动无限点耦合器曲线综合的计算机辅助设计技术

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摘要

At the present time, there are no satisfactory computer-aided solution schemes for solving the infinite point coupler curve synthesis problem (i.e., the problem of synthesizing a four-bar linkage whose coupler curve best approximates a fully specified closed trajectory). In order to develop a programmable solution process for this class of problems, it is necessary to devise a way of storing a catalog of coupler curves in a computer database. In addition, comparison procedures must be developed for detecting geometric similarities between curves; these procedures must be capable of observing similarities in the shapes of curves which may be scaled or oriented differently. In this paper, a data representation scheme based on uniform periodic B-splines is proposed as a viable means of storing coupler curves in a database. Automated procedures for fitting B-splines to coupler cures or other closed curves are also developed. The paper also presents a set of algorithms for comparing the shapes of curves based on the control polygons of their B-spline approximations. These algorithms are implemented in a computer program that is an effective tool for semi-automated computer-aided solution of the infinite point coupler curve synthesis problem. Example problems solved using this program are discussed, along with some suggestions for further work on this topic.
机译：目前，还没有令人满意的计算机辅助解决方案来解决无限点耦合器曲线综合问题（即，合成耦合器曲线最接近完全指定的闭合轨迹的四连杆机构的问题）。为了开发针对此类问题的可编程解决方案过程，有必要设计一种在计算机数据库中存储耦合器曲线目录的方法。此外，必须制定比较程序来检测曲线之间的几何相似度；这些程序必须能够观察可能以不同比例缩放或定向的曲线形状的相似性。在本文中，提出了一种基于均匀周期B样条的数据表示方案，作为在数据库中存储耦合器曲线的可行方法。还开发了将B样条拟合到耦合器固化或其他闭合曲线的自动化程序。本文还提出了一套算法，用于根据B样条曲线近似值的控制多边形比较曲线的形状。这些算法在计算机程序中实现，该计算机程序是用于无限点耦合器曲线合成问题的半自动计算机辅助解决方案的有效工具。讨论了使用此程序解决的示例问题，并提供了一些有关在该主题上进行进一步工作的建议。

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