刀锋 发表于 2006-8-24 10:35:08

PROE中圆柱齿轮齿廓渐开线方程的应用

<P style="LINE-HEIGHT: 150%"><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial">&nbsp;&nbsp;&nbsp;&nbsp; </SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>这是用</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"> Pro/ENGINEER </SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>建立理论上精确的圆柱齿轮的基础,以下是卡笛尔坐标系和圆柱坐标系的渐开线方程,在</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial">Pro/E 2000i </SPAN><FONT face=宋体><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana">里已经测试成功,现公布给大家。</SPAN></FONT></P>
<P style="LINE-HEIGHT: 150%"><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial">1.</SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>卡笛尔坐标下的渐开线参数方程</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"><BR>&nbsp;&nbsp;&nbsp; </SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>卡笛尔坐标系下的渐开线参数方程如下(设压力角</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"> afa </SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>由</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial">0</SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>到</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial">60</SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>度,基圆半径为</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"> 10</SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>):</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; afa=60*t<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; x=10*cos(afa)+pi*10*afa/180 * sin(afa)<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; y=10*sin(afa)-pi*10*afa/180 * cos(afa)<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; z=0<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /><o:p></o:p></SPAN></P>
<P style="LINE-HEIGHT: 150%"><FONT face=宋体><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"> </SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"><o:p></o:p></SPAN></FONT></P>
<P style="LINE-HEIGHT: 150%"><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial">2.</SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>圆柱坐标下的渐开线参数方程</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"><BR>&nbsp;&nbsp;&nbsp; </SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>圆柱坐标系下的渐开线参数方程如下(设基圆半径为</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial">10</SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>,压力角</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"> afa </SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>从</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial">0</SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>到</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial">60</SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>度):</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; afa = 60*t<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; r = (10^2 + (pi*10*afa/180)^2)^0.5<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; theta = afa-atan((pi*10*afa/180)/10)<BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; z = 0<o:p></o:p></SPAN></P>
<P style="LINE-HEIGHT: 150%"><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"><BR>&nbsp;&nbsp;&nbsp; </SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>在</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"> Pro/ENGINEER </SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>里使用</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"> Feature &gt; Creat &gt; Datum &gt; Curve &gt; From Equation </SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>命令,选择一个坐标系,然后选择坐标类型(卡笛尔坐标</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial">/</SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>圆柱坐标</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial">/</SPAN><SPAN style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; mso-bidi-font-family: Arial; mso-ascii-font-family: Verdana; mso-hansi-font-family: Verdana"><FONT face=宋体>球坐标),在窗口里输入以上方程即可生成一段精确的渐开线</FONT></SPAN><SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #495b5e; LINE-HEIGHT: 150%; FONT-FAMILY: Verdana; mso-bidi-font-family: Arial"><o:p></o:p></SPAN></P>

阿松 发表于 2006-9-7 20:56:24

Re: PROE中圆柱齿轮齿廓渐开线方程的应用

鼓励,鼓励。顶顶。

long1175 发表于 2006-9-7 21:07:32

Re: PROE中圆柱齿轮齿廓渐开线方程的应用

谢谢,实用

long1175 发表于 2006-9-8 21:06:12

Re: PROE中圆柱齿轮齿廓渐开线方程的应用

不知你这里的10是指什么娄据,请告知,谢谢

刀锋 发表于 2006-9-8 21:18:52

Re: PROE中圆柱齿轮齿廓渐开线方程的应用

回四楼:方程式中的数据10为齿轮基圆半径
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