Abstract
The synthesis of four-bar linkage has been extensively researched, but for a long time, the problem of motion generation, path generation, and function generation have been studied separately, and their integration has not drawn much attention. This paper presents a numerical synthesis procedure for four-bar linkage that combines motion generation and function generation. The procedure is divided into two categories which are named as dependent combination and independent combination. Five feasible cases for dependent combination and two feasible cases for independent combination are analyzed. For each of feasible combinations, fully constrained vector loop equations of four-bar linkage are formulated in a complex plane. We present numerical examples to illustrate the synthesis procedure and determine the defect-free four-bar linkages.
Highlights
Linkage synthesis is to determine link dimensions of the linkage that achieves prescribed task positions [1,2,3,4]
We present a numerical synthesis procedure for four-bar linkage that combines motion generation and function generation, which was not addressed before
The dependent combination means that there is at least a common task position (CTP) that the linkage moves through a motion task position (MTP) and a function task position (FTP) simultaneously
Summary
Linkage synthesis is to determine link dimensions of the linkage that achieves prescribed task positions [1,2,3,4]. We present a numerical synthesis procedure for four-bar linkage that combines motion and function generation; this method can be extended and applied to six-bar and eight-bar linkages. Liu and McCarthy [4,17] applied a numerical analytical method to solve the problem of motion generation, and the number of task positions ranges from 2 to 5. Used an analytical method to construct the constraint equation and solved it by a homotopy method for the nine point path synthesis problem for four-bar linkages, and they proved that the complete solution of the system are obtained. We present a numerical synthesis procedure for four-bar linkage that combines motion generation and function generation, which was not addressed before. We present how to perform the numerical procedure
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