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< align=center><B>试题</B><B><FONT face="Times New Roman">A</FONT></B><B>制陶材料优化设计</B><B>
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<>硅酸盐（<FONT face="Times New Roman">Si<SUB>3</SUB>N<SUB>4</SUB></FONT>）制陶材料是一种强度高、耐磨、抗氧化和耐高温的材料，它广泛应用于高温结构的材料中，如切割工具、齿轮、内燃机部件及航空、航天飞行器的有关部件等。影响这种材料的强度的因素有：
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<><FONT face="Times New Roman">A:</FONT>加热方案，<FONT face="Times New Roman">A<SUB>1</SUB>=</FONT>两步，<FONT face="Times New Roman">A<SUB>2</SUB>=</FONT>一步；（其中“两步”包括“一步”上的预烧结阶段）<FONT face="Times New Roman">.
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<P><FONT face="Times New Roman">B:</FONT>四种烧结添加剂<FONT face="Times New Roman">CaO,Y<SUB>2</SUB>O<SUB>3</SUB>,MgO</FONT>和<FONT face="Times New Roman">Al<SUB>2</SUB>O<SUB>3</SUB></FONT>的总量，<FONT face="Times New Roman">B<SUB>1</SUB>=14</FONT>摩尔<FONT face="Times New Roman">%</FONT>，<FONT face="Times New Roman">B<SUB>2</SUB>=16</FONT>摩尔<FONT face="Times New Roman">%</FONT>，<FONT face="Times New Roman">B<SUB>3</SUB>=18</FONT>摩尔<FONT face="Times New Roman">%</FONT>。
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<P><FONT face="Times New Roman">C:CaO</FONT>的含量，<FONT face="Times New Roman">C<SUB>1</SUB>=0.0</FONT>摩尔<FONT face="Times New Roman">%</FONT>，<FONT face="Times New Roman">C<SUB>2</SUB>=1.0</FONT>摩尔<FONT face="Times New Roman">%</FONT>，<FONT face="Times New Roman">C<SUB>3</SUB>=2.0</FONT>摩尔<FONT face="Times New Roman">%</FONT>。
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<P><FONT face="Times New Roman">D: Y<SUB>2</SUB>O<SUB>3</SUB></FONT>的摩尔<FONT face="Times New Roman">%</FONT>与<FONT face="Times New Roman">MgO</FONT>的摩尔的比率，<FONT face="Times New Roman">D<SUB>1</SUB>=1:1, D<SUB>2</SUB>=1:2, D<SUB>3</SUB>=1:6.
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<P><FONT face="Times New Roman">E</FONT>：<FONT face="Times New Roman">Y<SUB>2</SUB>O<SUB>3</SUB></FONT>的摩尔<FONT face="Times New Roman">%</FONT>与<FONT face="Times New Roman">Al<SUB>2</SUB>O<SUB>3</SUB></FONT>的摩尔<FONT face="Times New Roman">%</FONT>的比率，<FONT face="Times New Roman">E<SUB>1</SUB>=2:1, E<SUB>2</SUB>=1:1, E<SUB>3</SUB>=1:4.
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<P><FONT face="Times New Roman">F:</FONT>烧结温度，<FONT face="Times New Roman">F<SUB>1</SUB>=1800<SUP>o</SUP>C, F<SUB>2</SUB>=1850<SUP>o</SUP>C, F<SUB>3</SUB>=1900<SUP>o</SUP>C.
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<P><FONT face="Times New Roman">G:</FONT>烧结时间，<FONT face="Times New Roman">G<SUB>1</SUB>=1h, G<SUB>2</SUB>=2h, G<SUB>3</SUB>=3h.
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<P>为了寻找使得该种材料的强度达到最高的工艺条件，特此安排了如下试验方案，测量数据见表<FONT face="Times New Roman">1</FONT>，
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<P><FONT face="Times New Roman">一、 </FONT>根据表<FONT face="Times New Roman">1</FONT>的测量数据，试建立合理的数学模型，并对试验结果进行分析；
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<P><FONT face="Times New Roman">二、 </FONT>寻找使得强度最大的最优工艺条件；
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<P><FONT face="Times New Roman">三、 </FONT>对你所建立的模型进行误差分析并做出评价；
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<P><FONT face="Times New Roman">四、 </FONT>你能否提出一种更合理的试验设计计划及试验结果的分析方法？
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<P><FONT face="Times New Roman">五、 </FONT>就你的研究对有关部门试写一份申报科技进步奖的报告。
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<P align=center><FONT size=3><B>表<FONT face="Times New Roman">1</FONT></B><B>、陶瓷试验方案及强度数据表
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<TABLE cellSpacing=0 cellPadding=0 border=1>
<TR>
<TD vAlign=top width=79>
<P align=center>试验号</P></TD>
<TD vAlign=top width=204>
<P align=center>因素</P>
<P><FONT face="Times New Roman">A B C D E F G</FONT></P></TD>
<TD vAlign=top width=285>
<P align=center>强度</P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">1</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">1 2 2 1 3 1 3</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">996.8 783.6 796.9</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">2</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">1 2 1 2 2 3 1</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">843.8 816.2 714.3 824.4</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">3</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">1 2 3 3 1 2 2</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">647.1 667.9 534.3 617.7</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">4</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">1 3 2 1 2 3 2</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">616.3 552.3 552.6 596.0</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">5</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">1 3 1 2 1 2 3</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">517.8 526.1 498.1 499,5</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">6</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">1 3 3 3 3 1 1</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">1002.0 1097.0 882.9 940.1</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">7</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">1 1 2 2 3 2 1</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">806.5 933.5 964.9 1046.0</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">8</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">1 1 1 3 2 1 2</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">801.5 803.2 846.2 756.4</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">9</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">1 1 3 1 1 3 3</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">739.2 863.3 797.0 929.6</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">10</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">2 2 2 3 1 3 1</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">615.0 627,5 583.9 597.1 563.9</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">11</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">2 2 1 1 3 2 2</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">795.9 854.0 937.0 999.2 724.8</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">12</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">2 2 3 2 2 1 3</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">850.9 921.8 990.6 943.5 840.9</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">13</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">2 3 2 2 1 1 2</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">513.0 665.9 718.9 646.4</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">14</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">2 3 1 3 3 3 3</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">831.3 981.4 912.5 950.7 987.3</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">15</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">2 3 3 1 2 2 1</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">806.1 908.1 627.6 855.0</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">16</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">2 1 2 3 2 2 3</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">727.3 643.9 584.0 643.4 602.1</FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">17</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">2 1 1 3 2 2 3</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">836.8 716.3 862.9 796.2 </FONT></P></TD></TR>
<TR>
<TD vAlign=top width=79>
<P align=center><FONT face="Times New Roman">18</FONT></P></TD>
<TD vAlign=top width=204>
<P><FONT face="Times New Roman">2 1 3 1 1 1 1</FONT></P></TD>
<TD vAlign=top width=285>
<P><FONT face="Times New Roman">1001.0 937.6 955.3 995.8 1009.0</FONT></P></TD></TR></TABLE>
<P><FONT size=3>注：因素栏中数字“<FONT face="Times New Roman">i</FONT>”表示因素在试验中处于第<FONT face="Times New Roman">i</FONT>水平。</FONT></P> |
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发表于 2005-5-1 22:02:11