{"id":1484,"date":"2026-05-21T11:30:00","date_gmt":"2026-05-21T03:30:00","guid":{"rendered":"http:\/\/www.sdjxsjy.com\/?p=1484"},"modified":"2026-05-18T14:17:50","modified_gmt":"2026-05-18T06:17:50","slug":"%e4%bb%bf%e7%94%9f%e8%b1%a1%e9%bc%bb%e8%bf%9e%e7%bb%ad%e4%bd%93%e6%9c%ba%e5%99%a8%e4%ba%ba%e5%9c%a8%e9%9d%9e%e6%a0%87%e7%8b%ad%e5%b0%8f%e7%a9%ba%e9%97%b4%e6%93%8d%e4%bd%9c%e4%b8%ad%e7%9a%84%e8%bf%90","status":"publish","type":"post","link":"http:\/\/www.sdjxsjy.com\/?p=1484","title":{"rendered":"\u4eff\u751f\u8c61\u9f3b\u8fde\u7eed\u4f53\u673a\u5668\u4eba\u5728\u975e\u6807\u72ed\u5c0f\u7a7a\u95f4\u64cd\u4f5c\u4e2d\u7684\u8fd0\u52a8\u5b66\u5efa\u6a21\u4e0e\u907f\u969c\u89c4\u5212"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u822a\u7a7a\u53d1\u52a8\u673a\u5185\u8154\u3001\u6838\u8bbe\u65bd\u7ba1\u8def\u7b49\u975e\u6807\u72ed\u5c0f\u7a7a\u95f4\uff0c\u5bf9\u4f20\u7edf\u521a\u6027\u673a\u5668\u4eba\u63d0\u51fa\u4e86\u6311\u6218\u3002\u4eff\u751f\u8c61\u9f3b\u8fde\u7eed\u4f53\u673a\u5668\u4eba\u51ed\u501f\u5176\u65e0\u9650\u81ea\u7531\u5ea6\u4e0e\u67d4\u8f6f\u53d8\u5f62\u80fd\u529b\uff0c\u6210\u4e3a\u7406\u60f3\u89e3\u51b3\u65b9\u6848\u3002\u672c\u6587\u63d0\u51fa\u4e00\u79cd\u57fa\u4e8e\u5206\u6bb5\u5e38\u66f2\u7387\u4e0e\u51e0\u4f55\u4ee3\u6570\u7684\u8fd0\u52a8\u5b66\u5efa\u6a21\u65b9\u6cd5\uff0c\u5e76\u5f00\u53d1\u4e86\u878d\u5408\u5feb\u901f\u63a2\u7d22\u968f\u673a\u6811\u4e0e\u4eba\u5de5\u52bf\u573a\u7684\u6df7\u5408\u907f\u969c\u89c4\u5212\u7b97\u6cd5\u3002\u901a\u8fc7\u5728\u590d\u6742\u5f2f\u66f2\u7ba1\u9053\u73af\u5883\u4e2d\u7684\u4eff\u771f\u4e0e\u5b9e\u9a8c\uff0c\u9a8c\u8bc1\u4e86\u8be5\u65b9\u6cd5\u5728\u72ed\u5c0f\u975e\u7ed3\u6784\u5316\u73af\u5883\u4e2d\u7684\u9ad8\u7cbe\u5ea6\u4e0e\u5f3a\u9c81\u68d2\u6027\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">1. \u5f15\u8a00\uff1a\u4ece\u5927\u8c61\u9f3b\u5b50\u5230\u7cbe\u5bc6\u64cd\u7eb5<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u81ea\u7136\u754c\u4e2d\uff0c\u5927\u8c61\u7684\u9f3b\u5b50\u7531\u7ea615\u4e07\u675f\u808c\u8089\u7ec4\u6210\uff0c\u80fd\u7075\u6d3b\u5730\u5377\u8d77\u76f4\u5f84\u6570\u5398\u7c73\u7684\u6811\u679d\uff0c\u4e5f\u80fd\u8f7b\u67d4\u5730\u6361\u8d77\u4e00\u7247\u6811\u53f6\u3002\u8fd9\u79cd\u201c\u521a\u67d4\u5e76\u6d4e\u201d\u7684\u80fd\u529b\uff0c\u6b63\u662f\u975e\u6807\u72ed\u5c0f\u7a7a\u95f4\u64cd\u4f5c\u6240\u68a6\u5bd0\u4ee5\u6c42\u7684\u3002\u5728\u98de\u673a\u53d1\u52a8\u673a\u53f6\u7247\u95f4\u9699\u3001\u53cd\u5e94\u5806\u538b\u529b\u5bb9\u5668\u63a5\u7ba1\u5904\u7b49\u4eba\u7c7b\u548c\u4f20\u7edf\u673a\u68b0\u81c2\u96be\u4ee5\u5230\u8fbe\u7684\u533a\u57df\uff0c<strong>\u8fde\u7eed\u4f53\u673a\u5668\u4eba<\/strong>\u5e94\u8fd0\u800c\u751f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u800c\uff0c\u8fde\u7eed\u4f53\u673a\u5668\u4eba\u7684\u8fd0\u52a8\u5b66\u2014\u2014\u5373\u5982\u4f55\u901a\u8fc7\u63a7\u5236\u7f06\u7ef3\u6216\u6c14\u8154\u7684\u9a71\u52a8\u91cf\uff0c\u7cbe\u786e\u63a7\u5236\u5176\u672b\u7aef\u4f4d\u59ff\u4e0e\u6574\u4f53\u6784\u578b\u2014\u2014\u6781\u4e3a\u590d\u6742\u3002\u5176\u65e0\u9650\u81ea\u7531\u5ea6\u5bfc\u81f4\u89e3\u6790\u89e3\u56f0\u96be\uff0c\u800c\u72ed\u5c0f\u7a7a\u95f4\u53c8\u8981\u6c42\u6781\u9ad8\u7684\u907f\u969c\u89c4\u5212\u7cbe\u5ea6\u3002\u672c\u6587\u4ece\u4eff\u751f\u5b66\u51fa\u53d1\uff0c\u7cfb\u7edf\u9610\u8ff0\u5176\u8fd0\u52a8\u5b66\u6838\u5fc3\u4e0e\u667a\u80fd\u89c4\u5212\u7b56\u7565\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2. \u5206\u6bb5\u5e38\u66f2\u7387\u8fd0\u52a8\u5b66\u5efa\u6a21<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u76ee\u524d\u4e3b\u6d41\u7684\u5efa\u6a21\u65b9\u6cd5\u662f\u5c06\u8fde\u7eed\u4f53\u673a\u5668\u4eba\u7684\u4e3b\u5e72\u89c6\u4e3a\u7531\u82e5\u5e72\u6bb5\u6052\u5b9a\u66f2\u7387\u7684\u5706\u5f27\u9996\u5c3e\u76f8\u8fde\u800c\u6210\u2014\u2014\u5373<strong>\u5206\u6bb5\u5e38\u66f2\u7387\u5047\u8bbe<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2.1 \u5355\u6bb5\u51e0\u4f55\u6a21\u578b<\/strong><br>\u8bbe\u5355\u8282\u957f\u5ea6\u4e3a&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>l<\/mi><\/mrow><\/semantics><\/math><em>l<\/em>\uff0c\u5f2f\u66f2\u540e\u5f62\u6210\u534a\u5f84\u4e3a&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>r<\/mi><\/mrow><\/semantics><\/math><em>r<\/em>\u3001\u5706\u5fc3\u89d2\u4e3a&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03b8<\/mi><\/mrow><\/semantics><\/math><em>\u03b8<\/em>&nbsp;\u7684\u5706\u5f27\uff0c\u5219\u66f2\u7387&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03ba<\/mi><mo>=<\/mo><mi>\u03b8<\/mi><mi mathvariant=\"normal\">\/<\/mi><mi>l<\/mi><mo>=<\/mo><mn>1<\/mn><mi mathvariant=\"normal\">\/<\/mi><mi>r<\/mi><\/mrow><\/semantics><\/math><em>\u03ba<\/em>=<em>\u03b8<\/em>\/<em>l<\/em>=1\/<em>r<\/em>\u3002\u5b9a\u4e49\u5c40\u90e8\u5750\u6807\u7cfb\u4e0b\uff0c\u5f2f\u66f2\u5e73\u9762\u7531\u53c2\u6570&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03d5<\/mi><\/mrow><\/semantics><\/math><em>\u03d5<\/em>\uff08\u7ed5&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>z<\/mi><\/mrow><\/semantics><\/math><em>z<\/em>&nbsp;\u8f74\u7684\u65cb\u8f6c\u89d2\uff09\u786e\u5b9a\u3002\u5219\u4ece\u57fa\u90e8\u5230\u672b\u7aef\u7684\u9f50\u6b21\u53d8\u6362\u77e9\u9635\u4e3a\uff1a<br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>T<\/mi><mo>=<\/mo><mrow><mo fence=\"true\">[<\/mo><mtable rowspacing=\"0.16em\" columnalign=\"center center\" columnspacing=\"1em\"><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mrow><msub><mi>R<\/mi><mi>z<\/mi><\/msub><mo stretchy=\"false\">(<\/mo><mi>\u03d5<\/mi><mo stretchy=\"false\">)<\/mo><msub><mi>R<\/mi><mi>y<\/mi><\/msub><mo stretchy=\"false\">(<\/mo><mi>\u03b8<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mi>p<\/mi><\/mstyle><\/mtd><\/mtr><mtr><mtd><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mn>0<\/mn><\/mstyle><\/mtd><mtd><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mn>1<\/mn><\/mstyle><\/mtd><\/mtr><\/mtable><mo fence=\"true\">]<\/mo><\/mrow><\/mrow><\/semantics><\/math><em>T<\/em>=[<em>R<\/em><em>z<\/em>\u200b(<em>\u03d5<\/em>)<em>R<\/em><em>y<\/em>\u200b(<em>\u03b8<\/em>)0\u200b<em>p<\/em>1\u200b]<br>\u5176\u4e2d&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>p<\/mi><mo>=<\/mo><mo stretchy=\"false\">[<\/mo><mi>r<\/mi><mo stretchy=\"false\">(<\/mo><mn>1<\/mn><mo>\u2212<\/mo><mi>cos<\/mi><mo>\u2061<\/mo><mi>\u03b8<\/mi><mo stretchy=\"false\">)<\/mo><mi>cos<\/mi><mo>\u2061<\/mo><mi>\u03d5<\/mi><mo separator=\"true\">,<\/mo><mtext>\u2005\u200a<\/mtext><mi>r<\/mi><mo stretchy=\"false\">(<\/mo><mn>1<\/mn><mo>\u2212<\/mo><mi>cos<\/mi><mo>\u2061<\/mo><mi>\u03b8<\/mi><mo stretchy=\"false\">)<\/mo><mi>sin<\/mi><mo>\u2061<\/mo><mi>\u03d5<\/mi><mo separator=\"true\">,<\/mo><mtext>\u2005\u200a<\/mtext><mi>r<\/mi><mi>sin<\/mi><mo>\u2061<\/mo><mi>\u03b8<\/mi><msup><mo stretchy=\"false\">]<\/mo><mi>T<\/mi><\/msup><\/mrow><\/semantics><\/math><em>p<\/em>=[<em>r<\/em>(1\u2212cos<em>\u03b8<\/em>)cos<em>\u03d5<\/em>,<em>r<\/em>(1\u2212cos<em>\u03b8<\/em>)sin<em>\u03d5<\/em>,<em>r<\/em>sin<em>\u03b8<\/em>]<em>T<\/em>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2.2 \u591a\u6bb5\u94fe\u5f0f\u9012\u63a8<\/strong><br>\u5bf9\u4e8e&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>n<\/mi><\/mrow><\/semantics><\/math><em>n<\/em>&nbsp;\u6bb5\u673a\u5668\u4eba\uff0c\u603b\u7684\u53d8\u6362\u4e3a&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>T<\/mi><mtext>total<\/mtext><\/msub><mo>=<\/mo><msub><mi>T<\/mi><mn>1<\/mn><\/msub><mo>\u22c5<\/mo><msub><mi>T<\/mi><mn>2<\/mn><\/msub><mo>\u22ef<\/mo><msub><mi>T<\/mi><mi>n<\/mi><\/msub><\/mrow><\/semantics><\/math><em>T<\/em>total\u200b=<em>T<\/em>1\u200b\u22c5<em>T<\/em>2\u200b\u22ef<em>T<\/em><em>n<\/em>\u200b\u3002\u6bcf\u4e00\u6bb5\u7684\u8f93\u5165\u662f\u5176\u9a71\u52a8\u7a7a\u95f4\u53c2\u6570\uff08\u5982\u4e09\u6839\u9a71\u52a8\u7f06\u7ef3\u7684\u957f\u5ea6\u53d8\u5316&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u0394<\/mi><msub><mi>l<\/mi><mrow><mi>i<\/mi><mn>1<\/mn><\/mrow><\/msub><mo separator=\"true\">,<\/mo><mi mathvariant=\"normal\">\u0394<\/mi><msub><mi>l<\/mi><mrow><mi>i<\/mi><mn>2<\/mn><\/mrow><\/msub><mo separator=\"true\">,<\/mo><mi mathvariant=\"normal\">\u0394<\/mi><msub><mi>l<\/mi><mrow><mi>i<\/mi><mn>3<\/mn><\/mrow><\/msub><\/mrow><\/semantics><\/math>\u0394<em>l<\/em><em>i<\/em>1\u200b,\u0394<em>l<\/em><em>i<\/em>2\u200b,\u0394<em>l<\/em><em>i<\/em>3\u200b\uff09\uff0c\u901a\u8fc7\u51e0\u4f55\u5173\u7cfb\u53ef\u89e3\u7b97\u51fa\u8be5\u6bb5\u7684\u66f2\u7387&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>\u03ba<\/mi><mi>i<\/mi><\/msub><\/mrow><\/semantics><\/math><em>\u03ba<\/em><em>i<\/em>\u200b&nbsp;\u4e0e\u5f2f\u66f2\u5e73\u9762\u89d2&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>\u03d5<\/mi><mi>i<\/mi><\/msub><\/mrow><\/semantics><\/math><em>\u03d5<\/em><em>i<\/em>\u200b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5173\u952e\u521b\u65b0\uff1a<\/strong>&nbsp;\u6211\u4eec\u91c7\u7528<strong>\u51e0\u4f55\u4ee3\u6570\uff08Conformal Geometric Algebra, CGA\uff09<\/strong>\u66ff\u4ee3\u4f20\u7edf\u65cb\u8f6c\u77e9\u9635\u3002\u5728CGA\u4e2d\uff0c\u7403\u9762\u3001\u5e73\u9762\u3001\u70b9\u3001\u7ebf\u5747\u7528\u7edf\u4e00\u7684\u51e0\u4f55\u5bf9\u8c61\u8868\u793a\uff0c\u8fd0\u52a8\u5b66\u53d8\u6362\u8f6c\u5316\u4e3a\u201c\u8f6c\u5b50\u201d\u7684\u65cb\u91cf\u4f5c\u7528\u3002\u8fd9\u907f\u514d\u4e86\u6b27\u62c9\u89d2\u5947\u5f02\u6027\uff0c\u4e14\u8ba1\u7b97\u9ad8\u6548\u3002\u672b\u7aef\u70b9\u7684\u4f4d\u7f6e\u53ef\u76f4\u63a5\u8868\u793a\u4e3a\uff1a<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>p<\/mi><mtext>tip<\/mtext><\/msub><mo>=<\/mo><mtext>rotor<\/mtext><mo stretchy=\"false\">(<\/mo><mtext>twist<\/mtext><mo stretchy=\"false\">)<\/mo><mo>\u22c5<\/mo><msub><mi>p<\/mi><mtext>base<\/mtext><\/msub><\/mrow><\/semantics><\/math><em>p<\/em>tip\u200b=rotor(twist)\u22c5<em>p<\/em>base\u200b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2.3 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class=\"wp-block-paragraph\">\u5728\u7a84\u5f2f\u7ba1\u9053\u6216\u53f6\u7247\u95f4\u9699\u4e2d\uff0c\u8fde\u7eed\u4f53\u673a\u5668\u4eba\u4e0d\u4ec5\u672b\u7aef\u9700\u5230\u8fbe\u76ee\u6807\uff0c\u6574\u4e2a\u80cc\u90e8\u90fd\u4e0d\u80fd\u89e6\u78b0\u969c\u788d\u7269\u3002\u8fd9\u9700\u8981<strong>\u65f6\u7a7a\u8054\u5408\u89c4\u5212<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3.1 \u914d\u7f6e\u7a7a\u95f4\u4e0e\u73af\u5883\u5efa\u6a21<\/strong><br>\u4f20\u7edfC\u7a7a\u95f4\u5728\u8fde\u7eed\u4f53\u673a\u5668\u4eba\u4e2d\u7206\u70b8\u6027\u589e\u957f\u3002\u6211\u4eec\u91c7\u7528<strong>\u5de5\u4f5c\u7a7a\u95f4\u9aa8\u67b6\u79bb\u6563\u5316<\/strong>\uff1a\u5c06\u673a\u5668\u4eba\u7684\u4e2d\u5fc3\u7ebf\u79bb\u6563\u4e3a&nbsp;<math 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