旋轉輸入四連桿組的四個精確點等效函數產生器的合成

Synthesis of Four-Position Equivalent Function Generators of Rotating-Input Four-Bar Linkages

鄭文騰(Cheng, Wen-Teng)

《高雄應用科技大學工程科技學刊》 3卷1期 (2017/06) Pp. 1-17

https://doi.org/10.6553/JKTUET.2017.0301.01

摘要

本文針對四個位置的函數產生，合成具有潛能的機構，具有旋轉輸入四連桿組共五種。設計過程包含構造合成和尺寸合成。對於每一種函數產生器，依據向量迴路，建立機構分析的位移方程式和浮動桿的拘束方程式，並依此改變為尺寸合成方程式。將函數產生器的尺寸合成程序定義為解函數，以便於進行機構合成和撰寫電腦程式。考慮機構佔據空間、連桿長度、傳輸角、以及連續運轉等額外要求，經由選取適當的參數，可得三種互為等效的RR 函數產生器和二種互為等效的RP 函數產生器。以數值模擬來列舉範例，得以驗證本文所提出合成方程式的可用性。

關鍵字

等效機構 ； 函數產生 ； 四個位置 ； 四連桿組

並列摘要

Four-bar linkages with rotating input are used as four-position function generators and their feasibility are studied in structural synthesis and dimensional synthesis. Based on the requirement of function generation, five four-bar linkages can be used as function generators and they are RRRR, PRPR, RPRR, RRRP, and RPRP linkages. According to the vector loop of linkage, the displacement equations of mechanisms and the constraint equations of floating links are derived and serve as the synthesis equations for function generation. The nonlinear synthesis equations are solved by applying the parameter transformation, linearity technique, and inverse matrix method. The dimensional synthesis processes are defined as solution functions in order to facilitate the organization and the preparation of computer programs. RRRR, RRPR, and RPRR linkages can be synthesized as one set of equivalent RR function generator while RRRP and RPRP linkages serve as the other set of equivalent RP function generator. Some examples are given by numerical simulation to verify the usability of the proposed equations.

並列關鍵字

equivalent mechanism ； function generation ； four-position ； four-bar linkage