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<HTML><HEAD><TITLE>new</TITLE><META content="text/html; charset=gb2312" http-equiv=Content-Type><LINK href="text.css" rel=stylesheet type=text/css><META content="Microsoft FrontPage 4.0" name=GENERATOR></HEAD><body leftmargin="15"><center><b><br>7 動力學普遍方程</b></center> <table border="0" cellpadding="0" cellspacing="0" width="560"> <tr> <td> <table border="0" cellpadding="0" cellspacing="0" width="100%"> <tr> <td width="16%" align="center">達朗伯原理</td> <td width="5%" align="center" rowspan="2"><img border="0" src="pic2/3072_293.GIF" width="13" height="34"></td> <td width="8%" align="center" rowspan="2"><img border="0" src="pic2/3072_294.GIF" width="27" height="33"></td> <td width="22%" align="center" rowspan="2">動力學普遍方程</td> <td width="10%" align="center" rowspan="2"><img border="0" src="pic2/3072_294.GIF" width="27" height="33"></td> <td width="20%" align="center" rowspan="2">拉格朗日方程</td> <td width="19%" align="center" rowspan="2"></td> </tr> <tr> <td width="16%" align="center">虛位移原理</td> </tr> <tr> <td width="16%" align="center"></td> <td width="5%" align="center"></td> <td width="8%" align="center"></td> <td width="52%" align="center" colspan="3"><img border="0" src="pic2/3072_295.GIF" width="230" height="18"></td> <td width="19%" align="center"></td> </tr> <tr> <td width="16%" align="center"></td> <td width="5%" align="center"></td> <td width="8%" align="center"></td> <td width="52%" align="center" colspan="3">分析力學的基礎</td> <td width="19%" align="center"></td> </tr> </table> </td> </tr> <tr> <td>拉格朗日是分析力學的創始人。</td> </tr> <tr> <td><font color="#FF0000">動力學普遍方程的思想是: </font> 對n個質點的質點系:</td> </tr> <tr> <td><img border="0" src="pic2/3072_296.GIF" width="615" height="191"></td> </tr> <tr> <td> <table border="0" cellpadding="0" cellspacing="0"> <tr> <td> 或: </td> <td><img border="0" src="pic2/3072_297.GIF" width="435" height="54"></td> </tr> <tr> <td> 或:</td> <td><img border="0" src="pic2/3072_298.GIF" width="257" height="34"></td> </tr> </table> </td> </tr> <tr> <td> <table border="1" cellpadding="0" cellspacing="0" bordercolor="#FF0000"> <tr> <td>即,對動力學問題,給系統加上慣性力,再應用虛位移原理即可解題。</td> </tr> </table> </td> </tr> <tr> <td>注:①上式中∑不一定指質點,而一般可理解為力或力偶個數;</td> </tr> <tr> <td> <table border="0" cellpadding="0" cellspacing="0"> <tr> <td> ②當質點系靜止時(靜平衡),</td> <td><img border="0" src="pic2/3072_299.GIF" width="83" height="32"></td> <td> ,退化為虛功方程:</td> <td><img border="0" src="pic2/3072_21.GIF" width="83" height="29"></td> <td></td> </tr> </table> </td> </tr> <tr> <td><b>解題步驟:</b></td> </tr> <tr> <td>(一)研究整體(若求反力,需先去其約束,畫上約束力);<br> (二)畫主動力,并加慣性力(偶),畫運動圖;給系統虛位移;<br> (三)列解方程。</td> </tr> <tr> <td></td> </tr> <tr> <td></td> </tr> <tr> <td> <p align="center"> <a href="3072_1.htm"><font color="#FF6666">[ 上一節 ]</font></a> <a href="3072_21.htm">↓下一頁↓</a> <a href="3072_3.htm"><font color="#00CC00">[ 下一節 ]</font></a> </td> </tr> </table> </BODY></HTML>
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