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[原创]数学建模竞赛的请进-----》

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发表于 2005-5-1 06:37:34 | 显示全部楼层 |阅读模式
<  align=center><B >求助:给点想法或思路,多谢高手门!</B></P>
<  align=center><B ></B> </P>
<  align=center><B >试题</B><B ><FONT face="Times New Roman">B</FONT></B><B >:零件装配优化</B><B ><p></p></B></P>
<P ><FONT face="Times New Roman"><FONT size=3> <p></p></FONT></FONT></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">10g , </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 connecttype="rect" gradientshapeok="t" extrusionok="f"></v:path><lock aspectratio="t" v:ext="edit"></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 ><FONT face="Times New Roman"><FONT size=3> <p></p></FONT></FONT></P>
<P ><FONT size=3>表<FONT face="Times New Roman">2 </FONT>数据</FONT></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 ><FONT size=3><FONT face="Times New Roman"> <p></p></FONT></FONT></P>
<P ><FONT face="Times New Roman"> <p></p></FONT></P>[em09]
发表于 2005-5-1 09:22:45 | 显示全部楼层
无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻 无耻
发表于 2005-5-2 01:08:52 | 显示全部楼层
楼上的少灌水,大家都郁闷着呢 ~
发表于 2005-5-2 05:28:50 | 显示全部楼层
哈哈靠天靠地不如靠自己
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