{"title":"歪斜四杆的运动","authors":"Oene Bottema","doi":"10.1016/0022-2569(71)90007-3","DOIUrl":null,"url":null,"abstract":"<div><p>The skew four-bar <em>M</em><sub>1</sub>, <em>A</em><sub>1</sub>, <em>A</em><sub>2</sub>, <em>M</em><sub>2</sub>, with the fixed link <em>M</em><sub>1</sub><em>M</em><sub>2</sub> = <em>g</em>, the cranks <em>M</em><sub><em>i</em></sub><em>A</em><sub><em>i</em></sub> = <em>R</em><sub><em>i</em></sub> rotating about the axes <em>a</em><sub><em>i</em></sub> through <em>A</em><sub><em>i</em></sub> (<em>i</em> = 1,2) and the coupler <em>A</em><sub>1</sub><em>A</em><sub>2</sub> = <em>b</em>, with spherical joints at <em>A</em><sub>1</sub> and <em>A</em><sub>2</sub>, has been investigated recently by several authors.</p><p>A special case arises if the common perpendicular of <em>a</em><sub>1</sub> and <em>a</em><sub>2</sub> coincides with <em>M</em><sub>1</sub><em>M</em><sub>2</sub>.</p><p>In this paper a complete discussion of the mobility is given for this case in terms of the parameters <em>g</em>, <em>R</em><sub>1</sub>, <em>R</em><sub>2</sub>, <em>b</em> and the angle α between <em>a</em><sub>1</sub> and <em>a</em><sub>2</sub>.</p><p>Furthermore some remarks are added on the eighth order elliptic couple curve in the special and the general case.</p></div>","PeriodicalId":100802,"journal":{"name":"Journal of Mechanisms","volume":"6 1","pages":"Pages 69-79"},"PeriodicalIF":0.0000,"publicationDate":"1971-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-2569(71)90007-3","citationCount":"18","resultStr":"{\"title\":\"The motion of the skew four-bar\",\"authors\":\"Oene Bottema\",\"doi\":\"10.1016/0022-2569(71)90007-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The skew four-bar <em>M</em><sub>1</sub>, <em>A</em><sub>1</sub>, <em>A</em><sub>2</sub>, <em>M</em><sub>2</sub>, with the fixed link <em>M</em><sub>1</sub><em>M</em><sub>2</sub> = <em>g</em>, the cranks <em>M</em><sub><em>i</em></sub><em>A</em><sub><em>i</em></sub> = <em>R</em><sub><em>i</em></sub> rotating about the axes <em>a</em><sub><em>i</em></sub> through <em>A</em><sub><em>i</em></sub> (<em>i</em> = 1,2) and the coupler <em>A</em><sub>1</sub><em>A</em><sub>2</sub> = <em>b</em>, with spherical joints at <em>A</em><sub>1</sub> and <em>A</em><sub>2</sub>, has been investigated recently by several authors.</p><p>A special case arises if the common perpendicular of <em>a</em><sub>1</sub> and <em>a</em><sub>2</sub> coincides with <em>M</em><sub>1</sub><em>M</em><sub>2</sub>.</p><p>In this paper a complete discussion of the mobility is given for this case in terms of the parameters <em>g</em>, <em>R</em><sub>1</sub>, <em>R</em><sub>2</sub>, <em>b</em> and the angle α between <em>a</em><sub>1</sub> and <em>a</em><sub>2</sub>.</p><p>Furthermore some remarks are added on the eighth order elliptic couple curve in the special and the general case.</p></div>\",\"PeriodicalId\":100802,\"journal\":{\"name\":\"Journal of Mechanisms\",\"volume\":\"6 1\",\"pages\":\"Pages 69-79\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1971-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0022-2569(71)90007-3\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mechanisms\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0022256971900073\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mechanisms","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0022256971900073","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 18
摘要
本文研究了以固定连杆M1M2 = g,曲柄MiAi = Ri绕ai ~ ai (i = 1,2)轴转动,联轴器A1A2 = b,在A1和A2处有球面关节的斜四杆M1, A1, A2, A2, M2。如果a1和a2的公垂线与M1M2重合,就会出现一种特殊情况。本文用参数g, R1, R2, b和a1与a2之间的角α对这种情况下的迁移率进行了完整的讨论。在此基础上,对八阶椭圆偶曲线的特殊情况和一般情况作了一些说明。
The skew four-bar M1, A1, A2, M2, with the fixed link M1M2 = g, the cranks MiAi = Ri rotating about the axes ai through Ai (i = 1,2) and the coupler A1A2 = b, with spherical joints at A1 and A2, has been investigated recently by several authors.
A special case arises if the common perpendicular of a1 and a2 coincides with M1M2.
In this paper a complete discussion of the mobility is given for this case in terms of the parameters g, R1, R2, b and the angle α between a1 and a2.
Furthermore some remarks are added on the eighth order elliptic couple curve in the special and the general case.