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数模论坛»论坛 › 数学建模 › 大学生竞赛 › 【求助】西北工业大学05年试题2——零件装配优化
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【求助】西北工业大学05年试题2——零件装配优化

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whadonce
发表于 2005-5-1 06:37:50 | 显示全部楼层 |阅读模式
< align=center><B>试题</B><B><FONT face="Times New Roman">B</FONT></B><B>：零件装配优化</B><B>

</B>
<p>
<>
<><FONT face="Times New Roman" size=3></FONT></P>
<p>
<P><FONT size=3>在航空工业中，特别在飞机工业制造过程中，各零部件合理装配非常有助于提高整机的性能。</FONT></P>
<P><FONT size=3>现有<FONT face="Times New Roman">19</FONT>个零件均匀装配在一个圆盘周围，每个零件具有频率和质量，装配时要求满足以下条件：</FONT></P>
<P><FONT face="Times New Roman"><FONT size=3>1．</FONT>  </FONT><FONT size=3>相邻零件应具有频率差，且为一大一小分布；</FONT></P>
<P><FONT face="Times New Roman"><FONT size=3>2．</FONT>  </FONT><FONT size=3>相邻零件频率差应不小于<FONT face="Times New Roman">6Hz</FONT>，允许在不相邻的三处，相邻零件频率差不小于<FONT face="Times New Roman">4Hz</FONT>；</FONT></P>
<P><FONT face="Times New Roman"><FONT size=3>3．</FONT>  </FONT><FONT size=3>整个圆盘上的配重值不大于<FONT face="Times New Roman"><st1:chmetcnv w:st="on" UnitName="g" SourceValue="10" HasSpace="False" Negative="False" NumberType="1" TCSC="0">10g</st1:chmetcnv> , </FONT>配重值计算公式为：</FONT></P>
<P><FONT face="Times New Roman" size=3>     </FONT><v:shapetype><v:stroke joinstyle="miter"></v:stroke><v:formulas><v:f eqn="if lineDrawn pixelLineWidth 0"></v:f><v:f eqn="sum @0 1 0"></v:f><v:f eqn="sum 0 0 @1"></v:f><v:f eqn="prod @2 1 2"></v:f><v:f eqn="prod @3 21600 pixelWidth"></v:f><v:f eqn="prod @3 21600 pixelHeight"></v:f><v:f eqn="sum @0 0 1"></v:f><v:f eqn="prod @6 1 2"></v:f><v:f eqn="prod @7 21600 pixelWidth"></v:f><v:f eqn="sum @8 21600 0"></v:f><v:f eqn="prod @7 21600 pixelHeight"></v:f><v:f eqn="sum @10 21600 0"></v:f></v:formulas><v:path extrusionok="f" gradientshapeok="t" connecttype="rect"></v:path><LOCK v:ext="edit" aspectratio="t"></LOCK></v:shapetype><v:shape><v:imagedata><FONT face="Times New Roman" size=3></FONT></v:imagedata></v:shape></P>
<P><FONT size=3>则：</FONT></P>
<P><FONT face="Times New Roman"><FONT size=3>a．</FONT>  </FONT><FONT size=3>设计满足上述要求的优化算法，并用表<FONT face="Times New Roman">2</FONT>中三组数据验证；</FONT></P>
<P><FONT face="Times New Roman"><FONT size=3>b．</FONT>  </FONT><FONT size=3>如果数据可做局部调整（可换一个零件），分析对装配效果的影响。</FONT></P>
<P>
<P><FONT face="Times New Roman" size=3></FONT></P>
<p>
<P><FONT size=3>表<FONT face="Times New Roman">2 </FONT>数据</FONT></P>
<P>
<TABLE cellSpacing=0 cellPadding=0 border=1>

<TR>
<TD vAlign=top width=28>
<P>序号</P></TD>
<TD vAlign=top>
<P>频率<FONT face="Times New Roman">Hz</FONT></P></TD>
<TD vAlign=top>
<P>质量<FONT face="Times New Roman">g   </FONT></P></TD>
<TD vAlign=top>
<P align=center>序号</P></TD>
<TD vAlign=top>
<P>频率<FONT face="Times New Roman">Hz</FONT></P></TD>
<TD vAlign=top>
<P>质量<FONT face="Times New Roman">g</FONT></P></TD>
<TD vAlign=top>
<P>序号</P></TD>
<TD vAlign=top>
<P>频率<FONT face="Times New Roman">Hz</FONT></P></TD>
<TD vAlign=top width=66>
<P>质量<FONT face="Times New Roman">g</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">1</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">111</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">70</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">1</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">96</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">39</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">1</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">96</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">32</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">2</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">108</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">65</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">2</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">100</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">32</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">2</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">113</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">90</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">3</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">112</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">86</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">3</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">108</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">62</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">3</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">106</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">59</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">4</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">100</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">32</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">4</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">98</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">10</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">4</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">96</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">27</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">5</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">102</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">50</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">5</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">110</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">59</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">5</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">100</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">48</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">6</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">100</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">36</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">6</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">98</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">32</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">6</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">96</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">41</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">7</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">99</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">10</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">7</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">98</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">20</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">7</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">96</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">25</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">8</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">106</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">67</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">8</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">108</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">74</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">8</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">105</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">55</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">9</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">98</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">26</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">9</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">110</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">49</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">9</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">112</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">63</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">10</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">102</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">35</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">10</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">98</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">5</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">10</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">97</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">42</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">11</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">97</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">16</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">11</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">98</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">12</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">11</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">97</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">25</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">12</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">100</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">20</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">12</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">98</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">30</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">12</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">97</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">49</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">13</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">109</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">71</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">13</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">96</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">16</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">13</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">108</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">60</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">14</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">99</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">38</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">14</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">108</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">80</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">14</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">96</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">20</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">15</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">109</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">93</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">15</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">109</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">60</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">15</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">112</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">62</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">16</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">113</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">72</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">16</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">107</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">52</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">16</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">111</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">82</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">17</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">109</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">66</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">17</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">108</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">59</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">17</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">110</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">84</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">18</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">100</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">27</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">18</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">98</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">39</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">18</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">97</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">45</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=28>
<P><FONT face="Times New Roman">19</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">101</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">66</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">19</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">102</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">37</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">19</FONT></P></TD>
<TD vAlign=top>
<P><FONT face="Times New Roman">108</FONT></P></TD>
<TD vAlign=top width=66>
<P><FONT face="Times New Roman">47</FONT></P></TD></TR></TABLE></P>
<P>
<P><FONT face="Times New Roman" size=3></FONT></P>
<p>
<P>
<P><FONT face="Times New Roman"></FONT></P>
<p>
<P>
<P><FONT face="Times New Roman" size=3></FONT></P>
<p>
回复

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greyboy
发表于 2005-5-1 21:50:20 | 显示全部楼层
<>你谁呀.</P><>哪班的呀.</P><>做好了帮兄弟我一把了.</P>
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wenjinpeng1985
发表于 2005-5-2 04:19:46 | 显示全部楼层
<>[em06] </P><>题都把我搞晕了</P>
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酸痛的脊梁
发表于 2005-5-2 04:31:22 | 显示全部楼层
<>哈哈,你做的也太假了,居然敢在这里要呀,佩服!</P>
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ruohannn
发表于 2005-5-2 09:07:10 | 显示全部楼层

我也在做

我也在做
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fanghaze
发表于 2005-5-2 20:16:04 | 显示全部楼层
[em06][em03][em01][em03][em04][em08][em07][em05]好好作吧
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jessejr
发表于 2005-5-2 23:13:22 | 显示全部楼层
提供点思路
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jessica_han_218
发表于 2005-5-3 01:05:02 | 显示全部楼层
<>做a 题吧，呵呵！</P>[em01]
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TANJOHN
发表于 2005-5-3 17:40:08 | 显示全部楼层
公式是什么啊
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joanziyan
发表于 2005-5-3 22:27:21 | 显示全部楼层
<><FONT color=#e61a94 size=4>有人做出来没?</FONT></P>
<><FONT color=#e61a94 size=4>该写论文了,大家加油哟!</FONT></P>[em44]
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