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class="MsoNormal"><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">通常非圆曲线是指椭圆、</span> <span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">双曲线、</span> <span style="font-family:宋体;mso-ascii-font-family: "Times New Roman";mso-hansi-font-family:"Times New Roman"">抛物线及一般曲线</span><span lang="EN-US">(</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">圆或者直线</span><span lang="EN-US"> ),</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">在数学上它们都有其标准方程</span><span lang="EN-US">,</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">在数控加工过程中通常采用参数方程式进行编程</span><span lang="EN-US">.</span></p> <p class="MsoNormal"><span lang="EN-US"><img src="/upload/images/201406/14034491073281.jpg" alt="" /><br /> <!--[endif]--></span></p> <p class="MsoNormal"><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">二、</span> <span style="font-family: 宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">曲线的两种方程形式</span></p> <p class="MsoNormal"><span lang="EN-US">1 1</span><span style="font-family:宋体; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">曲线的普通方程</span><span lang="EN-US">. </span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">相对于参数方程来说</span><span lang="EN-US">,</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">把直接确定曲线</span><span lang="EN-US"> C</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">上任一点的坐标</span><span lang="EN-US"> ( x , y)</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">的方程</span><span lang="EN-US"> F( x, y ) = 0</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">叫做曲线</span><span lang="EN-US">C</span><span style="font-family: 宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">的普通方程</span><span lang="EN-US">.</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">任</span></p> <p><img src="/upload/images/201406/14034491182692.jpg" alt="" /></p> <p class="MsoNormal"><span lang="EN-US"> </span><span style="font-family:宋体;mso-ascii-font-family: "Times New Roman";mso-hansi-font-family:"Times New Roman"">并且对于</span><span lang="EN-US"> t</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">的每一个允许值</span><span lang="EN-US">, </span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">由方程组</span><span lang="EN-US"> ( 1)</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">所确定的点</span><span lang="EN-US"> M( x, y)</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">都在这条曲线上</span><span lang="EN-US">,</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">那么方程组</span><span lang="EN-US"> ( 1)</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">叫做这条曲线的参数方程</span><span lang="EN-US">. </span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">联系</span><span lang="EN-US"> x , y</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">之间关系的变数叫做参变数</span><span lang="EN-US">, </span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">简称参数</span><span lang="EN-US">.</span></p> <p class="MsoNormal"><span lang="EN-US">3 1</span><span style="font-family:宋体; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">求曲线的参数方程</span><span lang="EN-US">. </span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">求曲线参数方程一般程序</span><span lang="EN-US">:</span></p> <p class="MsoNormal"><span lang="EN-US">( 1)</span><span style="font-family:宋体; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">设点</span><span lang="EN-US">: </span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">建立适当的直角坐标系</span><span lang="EN-US">,</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">用</span><span lang="EN-US"> ( x , y)</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">表示曲线上任意一点</span><span lang="EN-US"> M </span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">的坐标</span><span lang="EN-US">;</span></p> <p class="MsoNormal"><span lang="EN-US">( 2)</span><span style="font-family:宋体; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">选参</span><span lang="EN-US">: </span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">选择合适的参数</span><span lang="EN-US">;</span></p> <p class="MsoNormal"><span lang="EN-US">( 3)</span><span style="font-family:宋体; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">表示</span><span lang="EN-US">:</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">依据题设、</span> <span style="font-family: 宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">参数的几何或物理意义</span><span lang="EN-US">,</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">建立参数与</span><span lang="EN-US">x , y</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">的关系式</span><span lang="EN-US">,</span><span style="font-family: 宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">并由此分别解出用参数表示的</span><span lang="EN-US"> x , y</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">的表达式</span><span lang="EN-US">.</span></p> <p class="MsoNormal"><span lang="EN-US">( 4)</span><span style="font-family:宋体; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"">结论</span><span lang="EN-US">: </span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">用参数方程的形式表示曲线的方程</span><span lang="EN-US">.</span></p> <p class="MsoNormal"><span lang="EN-US"><img src="/upload/images/201406/14034491304977.jpg" alt="" /><br /> <!--[endif]--></span></p> <p class="MsoNormal"><span lang="EN-US"><img src="/upload/images/201406/14034491422482.jpg" alt="" /><br /> <!--[endif]--></span></p> <p class="MsoNormal"><span lang="EN-US"><img src="/upload/images/201406/14034491710553.jpg" alt="" /><br /> <!--[endif]--></span></p> <p class="MsoNormal"><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">从上面实例可以看出曲线方程不管是采用普通方程还是参数方程都必须先指一个自变量</span><span lang="EN-US">, </span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman"; mso-hansi-font-family:"Times New Roman"">然后写出应变量的方程式</span><span lang="EN-US">,</span><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family: "Times New Roman"">再进行宏程序的编写方便快捷</span><span lang="EN-US">.</span></p> <p class="MsoNormal" align="center" style="margin-top:4.5pt;margin-right:0cm; margin-bottom:7.5pt;margin-left:0cm;text-align:center;line-height:13.5pt; mso-pagination:widow-orphan;mso-outline-level:1"><b><span style="mso-bidi-font-size: 10.5pt;font-family:宋体;mso-bidi-font-family:宋体;color:#666666;mso-font-kerning: 0pt">本文由<span lang="EN-US"> <a href="http://www.bethel-cnc.com/"><span lang="EN-US" style="color:#333333"><span lang="EN-US">伯特利数控</span></span></a></span>文章<span lang="EN-US"> </span>整理发表，文章来自网络仅参考学习，本站不承担任何法律责任。</span></b><span lang="EN-US" style="font-family: 微软雅黑;"><o:p></o:p></span></p> <p class="MsoNormal" align="center" style="text-align:center;text-indent:21.0pt; mso-char-indent-count:2.0;mso-pagination:widow-orphan"><span lang="EN-US" 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<p>本文以组合式六角亭模型为实例，分析工艺难点与加工可行性，指出该模型的加工难点是模型形状不规则和整体刚性差，并通过设计新的工艺方案解决加工难点，完成了模型整体的加工。新的加工工艺有助于提高加工效率和精度，为五轴数控加工提供了一个典型案例，对于五轴加工中心数控加工也具有指导作用和重要… <a href="/bethel/5-aix/show-2966.html" target="_blank">[了解更多]</a></p> </div> <div class="news-list list-border list-border-w"> <div class="list-date"> <span>05</span> <p>2024-11</p> </div> <h4><a title="自适应控制方法在混联五轴加工中心中的应用" href="/bethel/5-aix/show-2965.html" target="_blank">自适应控制方法在混联五轴加工中心中的应用</a></h4> <p>宇匠数控 备注：为保证文章的完整度，本文核心内容由PDF格式显示，如未有显示请刷新或转换浏览器尝试，手机浏览可能无法正常使用！本文摘要：通过对混联五轴加工中心自适应深度学习控制方法的 研 究，可 知 此 方 法 的 创 新 之 处 在 于：１）建 立 了 机 床 的 运 动 学 … <a href="/bethel/5-aix/show-2965.html" target="_blank">[了解更多]</a></p> </div> <div class="news-list list-border list-border-w"> <div class="list-date"> <span>05</span> <p>2024-11</p> </div> <h4><a title="五轴线性刀路的局部能量光顺和避免方法" href="/bethel/5-aix/show-2960.html" target="_blank">五轴线性刀路的局部能量光顺和避免方法</a></h4> <p>宇匠数控 备注：为保证文章的完整度，本文核心内容由PDF格式显示，如未有显示请刷新或转换浏览器尝试，手机浏览可能无法正常使用！本文摘要：１）本文建立了基于转角向量和双弦弓高的局部能量光顺算法，该方法以刀心点光顺前后最大许用偏移量作为约束，通过计算拐角处微小线段局部能量最优解，可使… <a href="/bethel/5-aix/show-2960.html" target="_blank">[了解更多]</a></p> </div> <div class="news-list list-border list-border-w"> <div class="list-date"> <span>05</span> <p>2024-11</p> </div> <h4><a title="五轴加工中心和五轴钻攻中心在机测量探头补偿" href="/bethel/5-aix/show-2959.html" target="_blank">五轴加工中心和五轴钻攻中心在机测量探头补</a></h4> <p>在机测量技术由于其成本低、检测效率高、无需二次装夹等优势被广泛用于零件加工测量当中，使得五轴加工中心和五轴钻攻中心，同时又兼具测量功能。在机测量系统的构成如图1所示，硬件部分主要是由高精度探头、信号接收器、机床整个本体，软件部分由机床控制系统、测量软件等组成[8]。待零件加工完成… <a href="/bethel/5-aix/show-2959.html" target="_blank">[了解更多]</a></p> </div> <!-- 内容列表结束 --> </div> <!-- 相关文章结束 --> <!-- 页底推荐图文产品开始 --> <hr class="featurette-divider"> <!-- 页面标题开始 --> <div class="title"> <h3 class="wow bounceInDown" data-wow-delay="0.5s"><a href="/bethel/cnc">产品中心<small></small></a></h3> <span>——</span> </div> <!-- 页面标题结束 --> <div class="container"> <div class="blank30"></div> <!-- 中部开始 --> 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