{"id":5411,"date":"2026-02-21T11:31:33","date_gmt":"2026-02-21T02:31:33","guid":{"rendered":"https:\/\/eternalsphere.net\/echoes\/?p=5411"},"modified":"2026-06-06T06:52:35","modified_gmt":"2026-06-05T21:52:35","slug":"xi0zct0sooy0win","status":"publish","type":"post","link":"https:\/\/eternalsphere.net\/echoes\/index.php\/2026\/02\/21\/xi0zct0sooy0win\/","title":{"rendered":"\u8d3e\u5c3c\u522b\u79d1\u592b\u6548\u5e94\u7684\u7a33\u5b9a\u6027\u5224\u636e\u63a8\u5bfc\uff08\u7f51\u7403\u62cd\u5b9a\u7406 \/ \u4e2d\u95f4\u8f74\u4e0d\u7a33\u5b9a\u6027\uff09"},"content":{"rendered":"\n

0. \u6458\u8981<\/h2>\n\n\n\n

\u5bf9\u65e0\u5916\u529b\u77e9\u81ea\u7531\u521a\u4f53<\/strong>\uff0c\u82e5\u5176\u4e3b\u60ef\u91cf\u6ee1\u8db3I<\/mi>1<\/mn><\/msub><<\/mo>I<\/mi>2<\/mn><\/msub><<\/mo>I<\/mi>3<\/mn><\/msub><\/mrow>I_1 < I_2 < I_3<\/annotation><\/semantics><\/math>I1\u200b<I2\u200b<I3\u200b<\/p>\n\n\n\n

\u5219\u7ed5 \u6700\u5c0f\u4e3b\u60ef\u91cf\u8f74<\/strong> I<\/mi>1<\/mn><\/msub><\/mrow>I_1<\/annotation><\/semantics><\/math>I1\u200b \u4e0e \u6700\u5927\u4e3b\u60ef\u91cf\u8f74<\/strong> I<\/mi>3<\/mn><\/msub><\/mrow>I_3<\/annotation><\/semantics><\/math>I3\u200b \u7684\u5300\u901f\u81ea\u65cb\u662f\u7ebf\u6027\u7a33\u5b9a<\/strong>\u7684\uff1b\u7ed5 \u4e2d\u95f4\u4e3b\u60ef\u91cf\u8f74<\/strong> I<\/mi>2<\/mn><\/msub><\/mrow>I_2<\/annotation><\/semantics><\/math>I2\u200b \u7684\u5300\u901f\u81ea\u65cb\u662f\u7ebf\u6027\u4e0d\u7a33\u5b9a<\/strong>\u7684\u3002
\u4e0d\u7a33\u5b9a\u6027\u7684\u76f4\u63a5\u539f\u56e0\u6765\u81ea\u6b27\u62c9\u65b9\u7a0b\u7ebf\u6027\u5316\u540e\u51fa\u73b0\u7684\u201c\u6b63\u5b9e\u6307\u6570\u201d\u589e\u957f\u6a21\u6001\u3002<\/p>\n\n\n\n
\n\n\n\n

1. \u6a21\u578b\u4e0e\u5047\u8bbe<\/h2>\n\n\n\n

1.1 \u5047\u8bbe<\/h3>\n\n\n\n
    \n
  • \u521a\u4f53\u4e3a\u7406\u60f3\u521a\u4f53\uff0c\u8d28\u91cf\u5206\u5e03\u56fa\u5b9a<\/li>\n\n\n\n
  • \u5728\u60ef\u6027\u7a7a\u95f4\u4e2d\u65e0\u5916\u529b\u77e9<\/strong>\uff1a\u03c4<\/mi>\u20d7<\/mo><\/mover>=<\/mo>0<\/mn>\u20d7<\/mo><\/mover><\/mrow>\\vec{\\tau}=\\vec{0}<\/annotation><\/semantics><\/math>\u03c4=0<\/li>\n\n\n\n
  • \u5728\u521a\u4f53\u4e3b\u8f74\u7cfb<\/strong>\uff08principal axes\uff09\u4e2d\u5206\u6790<\/li>\n\n\n\n
  • \u53ea\u505a\u7ebf\u6027\u7a33\u5b9a\u6027\u5206\u6790<\/strong>\uff08\u5c0f\u6270\u52a8\uff09<\/li>\n<\/ul>\n\n\n\n

    1.2 \u53d8\u91cf\u4e0e\u7b26\u53f7<\/h3>\n\n\n\n
      \n
    • I<\/mi>1<\/mn><\/msub>,<\/mo>I<\/mi>2<\/mn><\/msub>,<\/mo>I<\/mi>3<\/mn><\/msub><\/mrow>I_1, I_2, I_3<\/annotation><\/semantics><\/math>I1\u200b,I2\u200b,I3\u200b\uff1a\u521a\u4f53\u5173\u4e8e\u4e09\u6761\u4e3b\u8f74\u7684\u4e3b\u8f6c\u52a8\u60ef\u91cf\uff08\u5e38\u6570\uff09<\/li>\n\n\n\n
    • \u03c9<\/mi>=<\/mo>(<\/mo>\u03c9<\/mi>1<\/mn><\/msub>,<\/mo>\u03c9<\/mi>2<\/mn><\/msub>,<\/mo>\u03c9<\/mi>3<\/mn><\/msub>)<\/mo><\/mrow>\\boldsymbol{\\omega}=(\\omega_1,\\omega_2,\\omega_3)<\/annotation><\/semantics><\/math>\u03c9=(\u03c91\u200b,\u03c92\u200b,\u03c93\u200b)\uff1a\u89d2\u901f\u5ea6\u5728\u4e3b\u8f74\u7cfb\u7684\u5206\u91cf<\/li>\n\n\n\n
    • L<\/mi>=<\/mo>(<\/mo>L<\/mi>1<\/mn><\/msub>,<\/mo>L<\/mi>2<\/mn><\/msub>,<\/mo>L<\/mi>3<\/mn><\/msub>)<\/mo><\/mrow>\\boldsymbol{L}=(L_1,L_2,L_3)<\/annotation><\/semantics><\/math>L=(L1\u200b,L2\u200b,L3\u200b)\uff1a\u89d2\u52a8\u91cf\u5728\u4e3b\u8f74\u7cfb\u7684\u5206\u91cf<\/li>\n\n\n\n
    • \u4e0a\u70b9 (<\/mo> <\/mtext>)<\/mo><\/mrow>\u02d9<\/mo><\/mover><\/mrow>\\dot{(\\ )}<\/annotation><\/semantics><\/math>(\u00a0)\u02d9\u200b\uff1a\u5bf9\u65f6\u95f4\u6c42\u5bfc<\/li>\n\n\n\n
    • \u03a9<\/mi><\/mrow>\\Omega<\/annotation><\/semantics><\/math>\u03a9\uff1a\u5300\u901f\u81ea\u65cb\u7684\u4e3b\u8f74\u89d2\u901f\u5ea6\u6807\u91cf\uff08\u5e38\u6570\uff09<\/li>\n\n\n\n
    • \u03b4<\/mi>\u03c9<\/mi>i<\/mi><\/msub><\/mrow>\\delta\\omega_i<\/annotation><\/semantics><\/math>\u03b4\u03c9i\u200b\uff1a\u5c0f\u6270\u52a8\u91cf<\/li>\n<\/ul>\n\n\n\n
      \n\n\n\n

      2. \u57fa\u672c\u65b9\u7a0b\uff1a\u6b27\u62c9\u521a\u4f53\u65b9\u7a0b\uff08\u65e0\u5916\u529b\u77e9\uff09<\/h2>\n\n\n\n

      \u5728\u4e3b\u8f74\u7cfb\u4e2d\uff0c\u60ef\u91cf\u5f20\u91cf\u5bf9\u89d2\u5316\uff1aI<\/mi>=<\/mo>d<\/mi>i<\/mi>a<\/mi>g<\/mi><\/mrow>(<\/mo>I<\/mi>1<\/mn><\/msub>,<\/mo>I<\/mi>2<\/mn><\/msub>,<\/mo>I<\/mi>3<\/mn><\/msub>)<\/mo><\/mrow>\\mathbf{I}=\\mathrm{diag}(I_1,I_2,I_3)<\/annotation><\/semantics><\/math>I=diag(I1\u200b,I2\u200b,I3\u200b)\uff0c\u4e14L<\/mi>i<\/mi><\/msub>=<\/mo>I<\/mi>i<\/mi><\/msub>\u03c9<\/mi>i<\/mi><\/msub><\/mrow>L_i = I_i \\omega_i<\/annotation><\/semantics><\/math>Li\u200b=Ii\u200b\u03c9i\u200b<\/p>\n\n\n\n

      \u65e0\u5916\u529b\u77e9\u7684\u6b27\u62c9\u65b9\u7a0b\u4e3a\uff1aI<\/mi>1<\/mn><\/msub>\u03c9<\/mi>\u02d9<\/mo><\/mover>1<\/mn><\/msub>=<\/mo>(<\/mo>I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub>)<\/mo>\u2009<\/mtext>\u03c9<\/mi>2<\/mn><\/msub>\u03c9<\/mi>3<\/mn><\/msub><\/mrow>I_1 \\dot{\\omega}_1 = (I_2 – I_3)\\,\\omega_2\\omega_3<\/annotation><\/semantics><\/math>I1\u200b\u03c9\u02d91\u200b=(I2\u200b\u2212I3\u200b)\u03c92\u200b\u03c93\u200b I<\/mi>2<\/mn><\/msub>\u03c9<\/mi>\u02d9<\/mo><\/mover>2<\/mn><\/msub>=<\/mo>(<\/mo>I<\/mi>3<\/mn><\/msub>\u2212<\/mo>I<\/mi>1<\/mn><\/msub>)<\/mo>\u2009<\/mtext>\u03c9<\/mi>3<\/mn><\/msub>\u03c9<\/mi>1<\/mn><\/msub><\/mrow>I_2 \\dot{\\omega}_2 = (I_3 – I_1)\\,\\omega_3\\omega_1<\/annotation><\/semantics><\/math>I2\u200b\u03c9\u02d92\u200b=(I3\u200b\u2212I1\u200b)\u03c93\u200b\u03c91\u200b I<\/mi>3<\/mn><\/msub>\u03c9<\/mi>\u02d9<\/mo><\/mover>3<\/mn><\/msub>=<\/mo>(<\/mo>I<\/mi>1<\/mn><\/msub>\u2212<\/mo>I<\/mi>2<\/mn><\/msub>)<\/mo>\u2009<\/mtext>\u03c9<\/mi>1<\/mn><\/msub>\u03c9<\/mi>2<\/mn><\/msub><\/mrow>I_3 \\dot{\\omega}_3 = (I_1 – I_2)\\,\\omega_1\\omega_2<\/annotation><\/semantics><\/math>I3\u200b\u03c9\u02d93\u200b=(I1\u200b\u2212I2\u200b)\u03c91\u200b\u03c92\u200b<\/p>\n\n\n\n
      \n\n\n\n

      3. \u5e73\u8861\u89e3\uff1a\u7ed5\u67d0\u4e3b\u8f74\u7684\u5300\u901f\u81ea\u65cb<\/h2>\n\n\n\n

      \u8003\u8651\u7ed5\u7b2c k<\/mi><\/mrow>k<\/annotation><\/semantics><\/math>k \u6761\u4e3b\u8f74\u5300\u901f\u81ea\u65cb\u3002\u4ee5\u7ed5 I<\/mi>2<\/mn><\/msub><\/mrow>I_2<\/annotation><\/semantics><\/math>I2\u200b \u8f74\u4e3a\u4f8b\uff0c\u53d6\u5e73\u8861\u89e3\uff1a\u03c9<\/mi>2<\/mn><\/msub>=<\/mo>\u03a9<\/mi>,<\/mo><\/mspace>\u03c9<\/mi>1<\/mn><\/msub>=<\/mo>0<\/mn>,<\/mo><\/mspace>\u03c9<\/mi>3<\/mn><\/msub>=<\/mo>0<\/mn><\/mrow>\\omega_2=\\Omega,\\quad \\omega_1=0,\\quad \\omega_3=0<\/annotation><\/semantics><\/math>\u03c92\u200b=\u03a9,\u03c91\u200b=0,\u03c93\u200b=0<\/p>\n\n\n\n

      \u4ee3\u5165\u6b27\u62c9\u65b9\u7a0b\u53f3\u7aef\u53ef\u5f97 \u03c9<\/mi>\u02d9<\/mo><\/mover>i<\/mi><\/msub>=<\/mo>0<\/mn><\/mrow>\\dot{\\omega}_i=0<\/annotation><\/semantics><\/math>\u03c9\u02d9i\u200b=0\uff0c\u56e0\u6b64\u8fd9\u662f\u4e00\u4e2a\u5e73\u8861\uff08\u5300\u901f\uff09\u89e3\u3002<\/p>\n\n\n\n

      \u540c\u7406\uff0c\u7ed5 I<\/mi>1<\/mn><\/msub><\/mrow>I_1<\/annotation><\/semantics><\/math>I1\u200b \u6216 I<\/mi>3<\/mn><\/msub><\/mrow>I_3<\/annotation><\/semantics><\/math>I3\u200b \u7684\u5300\u901f\u81ea\u65cb\u4e5f\u5206\u522b\u7ed9\u51fa\u5e73\u8861\u89e3\u3002<\/p>\n\n\n\n
      \n\n\n\n

      4. \u7ebf\u6027\u5316\uff1a\u5bf9\u5c0f\u6270\u52a8\u5efa\u7acb\u5224\u522b\u5f0f<\/h2>\n\n\n\n

      \u4ee5\u7ed5 I<\/mi>2<\/mn><\/msub><\/mrow>I_2<\/annotation><\/semantics><\/math>I2\u200b \u8f74\u81ea\u65cb\u4e3a\u4f8b\uff0c\u5728\u5e73\u8861\u89e3\u9644\u8fd1\u5f15\u5165\u5c0f\u6270\u52a8\uff1a\u03c9<\/mi>2<\/mn><\/msub>=<\/mo>\u03a9<\/mi>+<\/mo>\u03b4<\/mi>\u03c9<\/mi>2<\/mn><\/msub>,<\/mo><\/mspace>\u03c9<\/mi>1<\/mn><\/msub>=<\/mo>\u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub>,<\/mo><\/mspace>\u03c9<\/mi>3<\/mn><\/msub>=<\/mo>\u03b4<\/mi>\u03c9<\/mi>3<\/mn><\/msub><\/mrow>\\omega_2=\\Omega+\\delta\\omega_2,\\quad \\omega_1=\\delta\\omega_1,\\quad \\omega_3=\\delta\\omega_3<\/annotation><\/semantics><\/math>\u03c92\u200b=\u03a9+\u03b4\u03c92\u200b,\u03c91\u200b=\u03b4\u03c91\u200b,\u03c93\u200b=\u03b4\u03c93\u200b<\/p>\n\n\n\n

      \u7ebf\u6027\u5316\u539f\u5219\uff1a\u53ea\u4fdd\u7559\u4e00\u9636\u5c0f\u91cf\uff0c\u5ffd\u7565\u4e8c\u9636\u9879\uff08\u5982 \u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub>\u03b4<\/mi>\u03c9<\/mi>3<\/mn><\/msub><\/mrow>\\delta\\omega_1\\delta\\omega_3<\/annotation><\/semantics><\/math>\u03b4\u03c91\u200b\u03b4\u03c93\u200b\uff09\u3002<\/p>\n\n\n\n

      4.1 \u5bf9 \u03c9<\/mi>\u02d9<\/mo><\/mover>1<\/mn><\/msub><\/mrow>\\dot{\\omega}_1<\/annotation><\/semantics><\/math>\u03c9\u02d91\u200b \u7ebf\u6027\u5316<\/h3>\n\n\n\n

      I<\/mi>1<\/mn><\/msub>\u03c9<\/mi>\u02d9<\/mo><\/mover>1<\/mn><\/msub>=<\/mo>(<\/mo>I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub>)<\/mo>\u03c9<\/mi>2<\/mn><\/msub>\u03c9<\/mi>3<\/mn><\/msub>\u2248<\/mo>(<\/mo>I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub>)<\/mo>\u2009<\/mtext>(<\/mo>\u03a9<\/mi>)<\/mo>\u2009<\/mtext>(<\/mo>\u03b4<\/mi>\u03c9<\/mi>3<\/mn><\/msub>)<\/mo><\/mrow>I_1 \\dot{\\omega}_1 = (I_2 – I_3)\\omega_2\\omega_3 \\approx (I_2 – I_3)\\,(\\Omega)\\,(\\delta\\omega_3)<\/annotation><\/semantics><\/math>I1\u200b\u03c9\u02d91\u200b=(I2\u200b\u2212I3\u200b)\u03c92\u200b\u03c93\u200b\u2248(I2\u200b\u2212I3\u200b)(\u03a9)(\u03b4\u03c93\u200b)<\/p>\n\n\n\n

      \u56e0\u6b64\uff1a\u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub><\/mrow>\u02d9<\/mo><\/mover>=<\/mo>I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub><\/mrow>I<\/mi>1<\/mn><\/msub><\/mfrac>\u2009<\/mtext>\u03a9<\/mi>\u2009<\/mtext>\u03b4<\/mi>\u03c9<\/mi>3<\/mn><\/msub><\/mrow>\\dot{\\delta\\omega_1}=\\frac{I_2-I_3}{I_1}\\,\\Omega\\,\\delta\\omega_3<\/annotation><\/semantics><\/math>\u03b4\u03c91\u200b\u02d9\u200b=I1\u200bI2\u200b\u2212I3\u200b\u200b\u03a9\u03b4\u03c93\u200b<\/p>\n\n\n\n

      4.2 \u5bf9 \u03c9<\/mi>\u02d9<\/mo><\/mover>3<\/mn><\/msub><\/mrow>\\dot{\\omega}_3<\/annotation><\/semantics><\/math>\u03c9\u02d93\u200b \u7ebf\u6027\u5316<\/h3>\n\n\n\n

      I<\/mi>3<\/mn><\/msub>\u03c9<\/mi>\u02d9<\/mo><\/mover>3<\/mn><\/msub>=<\/mo>(<\/mo>I<\/mi>1<\/mn><\/msub>\u2212<\/mo>I<\/mi>2<\/mn><\/msub>)<\/mo>\u03c9<\/mi>1<\/mn><\/msub>\u03c9<\/mi>2<\/mn><\/msub>\u2248<\/mo>(<\/mo>I<\/mi>1<\/mn><\/msub>\u2212<\/mo>I<\/mi>2<\/mn><\/msub>)<\/mo>\u2009<\/mtext>(<\/mo>\u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub>)<\/mo>\u2009<\/mtext>(<\/mo>\u03a9<\/mi>)<\/mo><\/mrow>I_3 \\dot{\\omega}_3 = (I_1 – I_2)\\omega_1\\omega_2 \\approx (I_1 – I_2)\\,(\\delta\\omega_1)\\,(\\Omega)<\/annotation><\/semantics><\/math>I3\u200b\u03c9\u02d93\u200b=(I1\u200b\u2212I2\u200b)\u03c91\u200b\u03c92\u200b\u2248(I1\u200b\u2212I2\u200b)(\u03b4\u03c91\u200b)(\u03a9)<\/p>\n\n\n\n

      \u56e0\u6b64\uff1a\u03b4<\/mi>\u03c9<\/mi>3<\/mn><\/msub><\/mrow>\u02d9<\/mo><\/mover>=<\/mo>I<\/mi>1<\/mn><\/msub>\u2212<\/mo>I<\/mi>2<\/mn><\/msub><\/mrow>I<\/mi>3<\/mn><\/msub><\/mfrac>\u2009<\/mtext>\u03a9<\/mi>\u2009<\/mtext>\u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub><\/mrow>\\dot{\\delta\\omega_3}=\\frac{I_1-I_2}{I_3}\\,\\Omega\\,\\delta\\omega_1<\/annotation><\/semantics><\/math>\u03b4\u03c93\u200b\u02d9\u200b=I3\u200bI1\u200b\u2212I2\u200b\u200b\u03a9\u03b4\u03c91\u200b<\/p>\n\n\n\n

      4.3 \u03b4<\/mi>\u03c9<\/mi>2<\/mn><\/msub><\/mrow>\\delta\\omega_2<\/annotation><\/semantics><\/math>\u03b4\u03c92\u200b \u7684\u4e00\u9636\u884c\u4e3a<\/h3>\n\n\n\n

      I<\/mi>2<\/mn><\/msub>\u03c9<\/mi>\u02d9<\/mo><\/mover>2<\/mn><\/msub>=<\/mo>(<\/mo>I<\/mi>3<\/mn><\/msub>\u2212<\/mo>I<\/mi>1<\/mn><\/msub>)<\/mo>\u03c9<\/mi>3<\/mn><\/msub>\u03c9<\/mi>1<\/mn><\/msub>\u2248<\/mo>(<\/mo>I<\/mi>3<\/mn><\/msub>\u2212<\/mo>I<\/mi>1<\/mn><\/msub>)<\/mo>\u03b4<\/mi>\u03c9<\/mi>3<\/mn><\/msub>\u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub>\u2248<\/mo>0<\/mn><\/mrow>I_2 \\dot{\\omega}_2=(I_3-I_1)\\omega_3\\omega_1 \\approx (I_3-I_1)\\delta\\omega_3\\delta\\omega_1 \\approx 0<\/annotation><\/semantics><\/math>I2\u200b\u03c9\u02d92\u200b=(I3\u200b\u2212I1\u200b)\u03c93\u200b\u03c91\u200b\u2248(I3\u200b\u2212I1\u200b)\u03b4\u03c93\u200b\u03b4\u03c91\u200b\u22480<\/p>\n\n\n\n

      \u6240\u4ee5\u4e00\u9636\u8fd1\u4f3c\u4e0b\uff1a\u03b4<\/mi>\u03c9<\/mi>2<\/mn><\/msub><\/mrow>\u02d9<\/mo><\/mover>\u2248<\/mo>0<\/mn><\/mrow>\\dot{\\delta\\omega_2}\\approx 0<\/annotation><\/semantics><\/math>\u03b4\u03c92\u200b\u02d9\u200b\u22480<\/p>\n\n\n\n

      \u8fd9\u8868\u793a\uff1a\u7ebf\u6027\u5c42\u9762\u4e0a \u03c9<\/mi>2<\/mn><\/msub><\/mrow>\\omega_2<\/annotation><\/semantics><\/math>\u03c92\u200b \u4fdd\u6301\u5e38\u6570\uff08\u6270\u52a8\u4e3b\u8981\u8026\u5408\u5728 \u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub>,<\/mo>\u03b4<\/mi>\u03c9<\/mi>3<\/mn><\/msub><\/mrow>\\delta\\omega_1,\\delta\\omega_3<\/annotation><\/semantics><\/math>\u03b4\u03c91\u200b,\u03b4\u03c93\u200b \u5e73\u9762\u5185\uff09\u3002<\/p>\n\n\n\n
      \n\n\n\n

      5. \u5f97\u5230\u4e8c\u9636\u65b9\u7a0b\u4e0e\u589e\u957f\u7387\uff08\u7a33\u5b9a\u6027\u5224\u636e\u7684\u6838\u5fc3\uff09<\/h2>\n\n\n\n

      \u5bf9 \u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub><\/mrow>\u02d9<\/mo><\/mover><\/mrow>\\dot{\\delta\\omega_1}<\/annotation><\/semantics><\/math>\u03b4\u03c91\u200b\u02d9\u200b \u518d\u6c42\u5bfc\uff0c\u5e76\u4ee3\u5165 \u03b4<\/mi>\u03c9<\/mi>3<\/mn><\/msub><\/mrow>\u02d9<\/mo><\/mover><\/mrow>\\dot{\\delta\\omega_3}<\/annotation><\/semantics><\/math>\u03b4\u03c93\u200b\u02d9\u200b\uff1a\u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub><\/mrow>\u00a8<\/mo><\/mover>=<\/mo>I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub><\/mrow>I<\/mi>1<\/mn><\/msub><\/mfrac>\u03a9<\/mi>\u2009<\/mtext>\u03b4<\/mi>\u03c9<\/mi>3<\/mn><\/msub><\/mrow>\u02d9<\/mo><\/mover>=<\/mo>I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub><\/mrow>I<\/mi>1<\/mn><\/msub><\/mfrac>\u03a9<\/mi>(<\/mo>I<\/mi>1<\/mn><\/msub>\u2212<\/mo>I<\/mi>2<\/mn><\/msub><\/mrow>I<\/mi>3<\/mn><\/msub><\/mfrac>\u03a9<\/mi>\u2009<\/mtext>\u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub>)<\/mo><\/mrow><\/mrow>\\ddot{\\delta\\omega_1} =\\frac{I_2-I_3}{I_1}\\Omega\\,\\dot{\\delta\\omega_3} =\\frac{I_2-I_3}{I_1}\\Omega\\left(\\frac{I_1-I_2}{I_3}\\Omega\\,\\delta\\omega_1\\right)<\/annotation><\/semantics><\/math>\u03b4\u03c91\u200b\u00a8\u200b=I1\u200bI2\u200b\u2212I3\u200b\u200b\u03a9\u03b4\u03c93\u200b\u02d9\u200b=I1\u200bI2\u200b\u2212I3\u200b\u200b\u03a9(I3\u200bI1\u200b\u2212I2\u200b\u200b\u03a9\u03b4\u03c91\u200b)<\/p>\n\n\n\n

      \u6574\u7406\u5f97\uff1a\u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub><\/mrow>\u00a8<\/mo><\/mover>=<\/mo>(<\/mo>(<\/mo>I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub>)<\/mo>(<\/mo>I<\/mi>1<\/mn><\/msub>\u2212<\/mo>I<\/mi>2<\/mn><\/msub>)<\/mo><\/mrow>I<\/mi>1<\/mn><\/msub>I<\/mi>3<\/mn><\/msub><\/mrow><\/mfrac>\u03a9<\/mi>2<\/mn><\/msup>)<\/mo><\/mrow>\u23df<\/mo><\/munder>\u03bb<\/mi><\/munder>\u2009<\/mtext>\u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub><\/mrow>\\ddot{\\delta\\omega_1} =\\underbrace{\\left(\\frac{(I_2-I_3)(I_1-I_2)}{I_1 I_3}\\Omega^2\\right)}_{\\lambda}\\,\\delta\\omega_1<\/annotation><\/semantics><\/math>\u03b4\u03c91\u200b\u00a8\u200b=\u03bb(I1\u200bI3\u200b(I2\u200b\u2212I3\u200b)(I1\u200b\u2212I2\u200b)\u200b\u03a92)\u200b\u200b\u03b4\u03c91\u200b<\/p>\n\n\n\n

      \u540c\u7406\u53ef\u5f97 \u03b4<\/mi>\u03c9<\/mi>3<\/mn><\/msub><\/mrow>\u00a8<\/mo><\/mover>=<\/mo>\u03bb<\/mi>\u2009<\/mtext>\u03b4<\/mi>\u03c9<\/mi>3<\/mn><\/msub><\/mrow>\\ddot{\\delta\\omega_3}=\\lambda\\,\\delta\\omega_3<\/annotation><\/semantics><\/math>\u03b4\u03c93\u200b\u00a8\u200b=\u03bb\u03b4\u03c93\u200b\u3002<\/p>\n\n\n\n

      5.1 \u5224\u522b\u903b\u8f91<\/h3>\n\n\n\n
        \n
      • \u82e5 \u03bb<\/mi><<\/mo>0<\/mn><\/mrow>\\lambda<0<\/annotation><\/semantics><\/math>\u03bb<0\uff1a\u89e3\u4e3a\u6b63\u5f26\/\u4f59\u5f26\u632f\u8361\uff08\u6709\u754c\uff09\uff0c\u7ebf\u6027\u7a33\u5b9a<\/strong><\/li>\n\n\n\n
      • \u82e5 \u03bb<\/mi>><\/mo>0<\/mn><\/mrow>\\lambda>0<\/annotation><\/semantics><\/math>\u03bb>0\uff1a\u89e3\u5305\u542b e<\/mi>\u03bb<\/mi><\/msqrt>t<\/mi><\/mrow><\/msup><\/mrow>e^{\\sqrt{\\lambda}t}<\/annotation><\/semantics><\/math>e\u03bb\u200bt \u6307\u6570\u589e\u957f\u9879\uff08\u65e0\u754c\uff09\uff0c\u7ebf\u6027\u4e0d\u7a33\u5b9a<\/strong><\/li>\n<\/ul>\n\n\n\n

        \u56e0\u6b64\u7a33\u5b9a\u6027\u53d6\u51b3\u4e8e\uff1a\u03bb<\/mi>\u221d<\/mo>(<\/mo>I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub>)<\/mo>(<\/mo>I<\/mi>1<\/mn><\/msub>\u2212<\/mo>I<\/mi>2<\/mn><\/msub>)<\/mo><\/mrow>\\lambda \\propto (I_2-I_3)(I_1-I_2)<\/annotation><\/semantics><\/math>\u03bb\u221d(I2\u200b\u2212I3\u200b)(I1\u200b\u2212I2\u200b)<\/p>\n\n\n\n
        \n\n\n\n

        6. \u7ed3\u8bba\uff1a\u4e2d\u95f4\u8f74\u4e0d\u7a33\u5b9a\uff08\u5b8c\u6574\u5224\u636e\uff09<\/h2>\n\n\n\n

        \u5047\u8bbe\u6392\u5e8f I<\/mi>1<\/mn><\/msub><<\/mo>I<\/mi>2<\/mn><\/msub><<\/mo>I<\/mi>3<\/mn><\/msub><\/mrow>I_1<I_2<I_3<\/annotation><\/semantics><\/math>I1\u200b<I2\u200b<I3\u200b\uff0c\u5219\uff1a<\/p>\n\n\n\n
          \n
        • I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub><<\/mo>0<\/mn><\/mrow>I_2-I_3 < 0<\/annotation><\/semantics><\/math>I2\u200b\u2212I3\u200b<0<\/li>\n\n\n\n
        • I<\/mi>1<\/mn><\/msub>\u2212<\/mo>I<\/mi>2<\/mn><\/msub><<\/mo>0<\/mn><\/mrow>I_1-I_2 < 0<\/annotation><\/semantics><\/math>I1\u200b\u2212I2\u200b<0<\/li>\n\n\n\n
        • \u4e24\u8005\u4e58\u79ef (<\/mo>I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub>)<\/mo>(<\/mo>I<\/mi>1<\/mn><\/msub>\u2212<\/mo>I<\/mi>2<\/mn><\/msub>)<\/mo>><\/mo>0<\/mn><\/mrow>(I_2-I_3)(I_1-I_2) > 0<\/annotation><\/semantics><\/math>(I2\u200b\u2212I3\u200b)(I1\u200b\u2212I2\u200b)>0<\/li>\n<\/ul>\n\n\n\n

          \u4ece\u800c\uff1a\u03bb<\/mi>><\/mo>0<\/mn><\/mspace>\u21d2<\/mo><\/mspace>\u7ed5 <\/mtext>I<\/mi>2<\/mn><\/msub> \u8f74\u81ea\u65cb\u7ebf\u6027\u4e0d\u7a33\u5b9a<\/mtext><\/mrow>\\lambda>0 \\quad\\Rightarrow\\quad \\text{\u7ed5 } I_2 \\text{ \u8f74\u81ea\u65cb\u7ebf\u6027\u4e0d\u7a33\u5b9a}<\/annotation><\/semantics><\/math>\u03bb>0\u21d2\u7ed5 I2\u200b \u8f74\u81ea\u65cb\u7ebf\u6027\u4e0d\u7a33\u5b9a<\/p>\n\n\n\n

          \u8fd9\u5c31\u662f\u4e2d\u95f4\u8f74\u4e0d\u7a33\u5b9a\u6027<\/strong>\uff0c\u5bf9\u5e94\u5b9e\u9a8c\u4e0a\u770b\u5230\u7684\u5468\u671f\u6027\u7ffb\u8f6c\uff08\u8d3e\u5c3c\u522b\u79d1\u592b\u6548\u5e94 \/ \u7f51\u7403\u62cd\u5b9a\u7406\uff09\u3002<\/p>\n\n\n\n

          \n\n\n\n

          7. \u5bf9\u79f0\u63a8\u5bfc\uff1a\u7ed5 I<\/mi>1<\/mn><\/msub><\/mrow>I_1<\/annotation><\/semantics><\/math>I1\u200b \u4e0e I<\/mi>3<\/mn><\/msub><\/mrow>I_3<\/annotation><\/semantics><\/math>I3\u200b \u7684\u7a33\u5b9a\u6027<\/h2>\n\n\n\n

          7.1 \u7ed5 I<\/mi>1<\/mn><\/msub><\/mrow>I_1<\/annotation><\/semantics><\/math>I1\u200b \u8f74\u81ea\u65cb<\/h3>\n\n\n\n

          \u5e73\u8861\uff1a\u03c9<\/mi>1<\/mn><\/msub>=<\/mo>\u03a9<\/mi>,<\/mo>\u03c9<\/mi>2<\/mn><\/msub>=<\/mo>0<\/mn>,<\/mo>\u03c9<\/mi>3<\/mn><\/msub>=<\/mo>0<\/mn><\/mrow>\\omega_1=\\Omega,\\omega_2=0,\\omega_3=0<\/annotation><\/semantics><\/math>\u03c91\u200b=\u03a9,\u03c92\u200b=0,\u03c93\u200b=0\u3002\u7ebf\u6027\u5316\u5f97\u5230\uff1a\u03b4<\/mi>\u03c9<\/mi>2<\/mn><\/msub><\/mrow>\u00a8<\/mo><\/mover>=<\/mo>(<\/mo>(<\/mo>I<\/mi>3<\/mn><\/msub>\u2212<\/mo>I<\/mi>1<\/mn><\/msub>)<\/mo>(<\/mo>I<\/mi>1<\/mn><\/msub>\u2212<\/mo>I<\/mi>2<\/mn><\/msub>)<\/mo><\/mrow>I<\/mi>2<\/mn><\/msub>I<\/mi>3<\/mn><\/msub><\/mrow><\/mfrac>\u03a9<\/mi>2<\/mn><\/msup>)<\/mo><\/mrow>\u03b4<\/mi>\u03c9<\/mi>2<\/mn><\/msub><\/mrow>\\ddot{\\delta\\omega_2} =\\left(\\frac{(I_3-I_1)(I_1-I_2)}{I_2 I_3}\\Omega^2\\right)\\delta\\omega_2<\/annotation><\/semantics><\/math>\u03b4\u03c92\u200b\u00a8\u200b=(I2\u200bI3\u200b(I3\u200b\u2212I1\u200b)(I1\u200b\u2212I2\u200b)\u200b\u03a92)\u03b4\u03c92\u200b<\/p>\n\n\n\n

          \u5728 I<\/mi>1<\/mn><\/msub><<\/mo>I<\/mi>2<\/mn><\/msub><<\/mo>I<\/mi>3<\/mn><\/msub><\/mrow>I_1<I_2<I_3<\/annotation><\/semantics><\/math>I1\u200b<I2\u200b<I3\u200b \u4e0b\uff1a<\/p>\n\n\n\n
            \n
          • I<\/mi>3<\/mn><\/msub>\u2212<\/mo>I<\/mi>1<\/mn><\/msub>><\/mo>0<\/mn><\/mrow>I_3-I_1>0<\/annotation><\/semantics><\/math>I3\u200b\u2212I1\u200b>0<\/li>\n\n\n\n
          • I<\/mi>1<\/mn><\/msub>\u2212<\/mo>I<\/mi>2<\/mn><\/msub><<\/mo>0<\/mn><\/mrow>I_1-I_2<0<\/annotation><\/semantics><\/math>I1\u200b\u2212I2\u200b<0
            \u4e58\u79ef\u4e3a\u8d1f\uff0c\u6545 \u03bb<\/mi><<\/mo>0<\/mn><\/mrow>\\lambda<0<\/annotation><\/semantics><\/math>\u03bb<0 \u21d2 \u7a33\u5b9a<\/strong>\u3002<\/li>\n<\/ul>\n\n\n\n

            7.2 \u7ed5 I<\/mi>3<\/mn><\/msub><\/mrow>I_3<\/annotation><\/semantics><\/math>I3\u200b \u8f74\u81ea\u65cb<\/h3>\n\n\n\n

            \u5e73\u8861\uff1a\u03c9<\/mi>3<\/mn><\/msub>=<\/mo>\u03a9<\/mi>,<\/mo>\u03c9<\/mi>1<\/mn><\/msub>=<\/mo>0<\/mn>,<\/mo>\u03c9<\/mi>2<\/mn><\/msub>=<\/mo>0<\/mn><\/mrow>\\omega_3=\\Omega,\\omega_1=0,\\omega_2=0<\/annotation><\/semantics><\/math>\u03c93\u200b=\u03a9,\u03c91\u200b=0,\u03c92\u200b=0\u3002\u7ebf\u6027\u5316\u5f97\u5230\uff1a\u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub><\/mrow>\u00a8<\/mo><\/mover>=<\/mo>(<\/mo>(<\/mo>I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub>)<\/mo>(<\/mo>I<\/mi>3<\/mn><\/msub>\u2212<\/mo>I<\/mi>1<\/mn><\/msub>)<\/mo><\/mrow>I<\/mi>1<\/mn><\/msub>I<\/mi>2<\/mn><\/msub><\/mrow><\/mfrac>\u03a9<\/mi>2<\/mn><\/msup>)<\/mo><\/mrow>\u03b4<\/mi>\u03c9<\/mi>1<\/mn><\/msub><\/mrow>\\ddot{\\delta\\omega_1} =\\left(\\frac{(I_2-I_3)(I_3-I_1)}{I_1 I_2}\\Omega^2\\right)\\delta\\omega_1<\/annotation><\/semantics><\/math>\u03b4\u03c91\u200b\u00a8\u200b=(I1\u200bI2\u200b(I2\u200b\u2212I3\u200b)(I3\u200b\u2212I1\u200b)\u200b\u03a92)\u03b4\u03c91\u200b<\/p>\n\n\n\n

            \u5728 I<\/mi>1<\/mn><\/msub><<\/mo>I<\/mi>2<\/mn><\/msub><<\/mo>I<\/mi>3<\/mn><\/msub><\/mrow>I_1<I_2<I_3<\/annotation><\/semantics><\/math>I1\u200b<I2\u200b<I3\u200b \u4e0b\uff1a<\/p>\n\n\n\n
              \n
            • I<\/mi>2<\/mn><\/msub>\u2212<\/mo>I<\/mi>3<\/mn><\/msub><<\/mo>0<\/mn><\/mrow>I_2-I_3<0<\/annotation><\/semantics><\/math>I2\u200b\u2212I3\u200b<0<\/li>\n\n\n\n
            • I<\/mi>3<\/mn><\/msub>\u2212<\/mo>I<\/mi>1<\/mn><\/msub>><\/mo>0<\/mn><\/mrow>I_3-I_1>0<\/annotation><\/semantics><\/math>I3\u200b\u2212I1\u200b>0
              \u4e58\u79ef\u4e3a\u8d1f\uff0c\u6545 \u03bb<\/mi><<\/mo>0<\/mn><\/mrow>\\lambda<0<\/annotation><\/semantics><\/math>\u03bb<0 \u21d2 \u7a33\u5b9a<\/strong>\u3002<\/li>\n<\/ul>\n\n\n\n
              \n\n\n\n

              8. \u6700\u7ec8\u7a33\u5b9a\u6027\u5224\u636e\uff08\u53ef\u76f4\u63a5\u5f15\u7528\uff09<\/h2>\n\n\n\n

              \u4ee4 I<\/mi>1<\/mn><\/msub><<\/mo>I<\/mi>2<\/mn><\/msub><<\/mo>I<\/mi>3<\/mn><\/msub><\/mrow>I_1<I_2<I_3<\/annotation><\/semantics><\/math>I1\u200b<I2\u200b<I3\u200b\uff0c\u81ea\u7531\u521a\u4f53\u7ed5\u4e3b\u8f74\u5300\u901f\u81ea\u65cb\u7684\u7ebf\u6027\u7a33\u5b9a\u6027\u4e3a\uff1a<\/p>\n\n\n\n
                \n
              • \u7ed5 I<\/mi>1<\/mn><\/msub><\/mrow>I_1<\/annotation><\/semantics><\/math>I1\u200b\uff08\u6700\u5c0f\u4e3b\u60ef\u91cf\u8f74\uff09\uff1a\u7a33\u5b9a<\/strong><\/li>\n\n\n\n
              • \u7ed5 I<\/mi>2<\/mn><\/msub><\/mrow>I_2<\/annotation><\/semantics><\/math>I2\u200b\uff08\u4e2d\u95f4\u4e3b\u60ef\u91cf\u8f74\uff09\uff1a\u4e0d\u7a33\u5b9a<\/strong><\/li>\n\n\n\n
              • \u7ed5 I<\/mi>3<\/mn><\/msub><\/mrow>I_3<\/annotation><\/semantics><\/math>I3\u200b\uff08\u6700\u5927\u4e3b\u60ef\u91cf\u8f74\uff09\uff1a\u7a33\u5b9a<\/strong><\/li>\n<\/ul>\n\n\n\n

                \u66f4\u4e00\u822c\u5730\uff0c\u7ed5\u7b2c k<\/mi><\/mrow>k<\/annotation><\/semantics><\/math>k \u8f74\u81ea\u65cb\u65f6\uff0c\u7ebf\u6027\u5316\u4e8c\u9636\u7cfb\u6570\u7684\u7b26\u53f7\u7531(<\/mo>I<\/mi>k<\/mi><\/msub>\u2212<\/mo>I<\/mi>i<\/mi><\/msub>)<\/mo>(<\/mo>I<\/mi>k<\/mi><\/msub>\u2212<\/mo>I<\/mi>j<\/mi><\/msub>)<\/mo><\/mrow>(I_k – I_i)(I_k – I_j)<\/annotation><\/semantics><\/math>(Ik\u200b\u2212Ii\u200b)(Ik\u200b\u2212Ij\u200b)<\/p>\n\n\n\n

                \u51b3\u5b9a\uff08{<\/mo>i<\/mi>,<\/mo>j<\/mi>,<\/mo>k<\/mi>}<\/mo>=<\/mo>{<\/mo>1<\/mn>,<\/mo>2<\/mn>,<\/mo>3<\/mn>}<\/mo><\/mrow>\\{i,j,k\\}=\\{1,2,3\\}<\/annotation><\/semantics><\/math>{i,j,k}={1,2,3}\uff09\u3002\u82e5\u8be5\u4e58\u79ef\u4e3a\u6b63\u5219\u4e0d\u7a33\u5b9a\uff0c\u4e3a\u8d1f\u5219\u7a33\u5b9a\uff1b\u4e2d\u95f4\u60ef\u91cf\u8f74\u4f1a\u4f7f\u4e24\u9879\u540c\u53f7\u4ece\u800c\u4e58\u79ef\u4e3a\u6b63\uff0c\u5bfc\u81f4\u6307\u6570\u589e\u957f\u3002<\/p>\n\n\n\n
                \n\n\n\n

                9. \u7269\u7406\u542b\u4e49\u7684\u4e00\u53e5\u8bdd\u7248\u672c<\/h2>\n\n\n\n

                \u81ea\u7531\u521a\u4f53\u540c\u65f6\u53d7\u4e24\u6761\u5b88\u6052\u7ea6\u675f\uff08\u89d2\u52a8\u91cf\u4e0e\u52a8\u80fd\uff09\uff0c\u5728\u4e3b\u8f74\u81ea\u65cb\u9644\u8fd1\u7684\u76f8\u7a7a\u95f4\u7ed3\u6784\u4f7f\u5f97\u6700\u5927\/\u6700\u5c0f\u60ef\u91cf\u8f74\u5bf9\u5e94\u201c\u80fd\u91cf\u6781\u503c\u201d\uff08\u7a33\u5b9a\uff09<\/strong>\uff0c\u800c\u4e2d\u95f4\u60ef\u91cf\u8f74\u5bf9\u5e94\u201c\u978d\u70b9\u201d\uff08\u4e0d\u7a33\u5b9a\uff09<\/strong>\uff0c\u5c0f\u6270\u52a8\u4f1a\u88ab\u653e\u5927\uff0c\u8fdb\u800c\u51fa\u73b0\u7ffb\u8f6c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

                0. \u6458\u8981 \u5bf9\u65e0\u5916\u529b\u77e9\u81ea\u7531\u521a\u4f53\uff0c\u82e5\u5176\u4e3b\u60ef\u91cf\u6ee1\u8db3I1<I2<I3I_1 < I_2 < I_3I1\u200b<I2\u200b<I3\u200b \u5219\u7ed5 \u6700\u5c0f\u4e3b\u60ef\u91cf\u8f74 I1I_1I1\u200b \u4e0e \u6700\u5927\u4e3b\u60ef\u91cf\u8f74 I3I_3I3\u200b \u7684\u5300\u901f\u81ea\u65cb\u662f\u7ebf\u6027\u7a33\u5b9a\u7684\uff1b\u7ed5 \u4e2d\u95f4\u4e3b\u60ef\u91cf\u8f74 I2I_2I2\u200b \u7684\u5300\u901f\u81ea\u65cb\u662f\u7ebf\u6027\u4e0d\u7a33\u5b9a\u7684\u3002\u4e0d\u7a33\u5b9a\u6027\u7684\u76f4\u63a5\u539f\u56e0\u6765\u81ea\u6b27\u62c9\u65b9\u7a0b\u7ebf\u6027\u5316\u540e\u51fa\u73b0\u7684\u201c\u6b63\u5b9e\u6307\u6570\u201d\u589e\u957f\u6a21\u6001\u3002 1. \u6a21\u578b\u4e0e\u5047\u8bbe 1.1 \u5047\u8bbe 1.2 \u53d8\u91cf\u4e0e\u7b26\u53f7 2. \u57fa\u672c\u65b9\u7a0b\uff1a\u6b27\u62c9\u521a\u4f53\u65b9\u7a0b\uff08\u65e0\u5916\u529b\u77e9\uff09 \u5728\u4e3b\u8f74\u7cfb\u4e2d\uff0c\u60ef\u91cf\u5f20\u91cf\u5bf9\u89d2\u5316\uff1aI=diag(I1,I2,I3)\\mathbf{I}=\\mathrm{diag}(I_1,I_2,I_3)I=diag(I1\u200b,I2\u200b,I3\u200b)\uff0c\u4e14Li=Ii\u03c9iL_i = I_i \\omega_iLi\u200b=Ii\u200b\u03c9i\u200b \u65e0\u5916\u529b\u77e9\u7684\u6b27\u62c9\u65b9\u7a0b\u4e3a\uff1aI1\u03c9\u02d91=(I2\u2212I3)\u2009\u03c92\u03c93I_1 \\dot{\\omega}_1 = (I_2 – I_3)\\,\\omega_2\\omega_3I1\u200b\u03c9\u02d91\u200b=(I2\u200b\u2212I3\u200b)\u03c92\u200b\u03c93\u200b I2\u03c9\u02d92=(I3\u2212I1)\u2009\u03c93\u03c91I_2 \\dot{\\omega}_2 = (I_3 – I_1)\\,\\omega_3\\omega_1I2\u200b\u03c9\u02d92\u200b=(I3\u200b\u2212I1\u200b)\u03c93\u200b\u03c91\u200b I3\u03c9\u02d93=(I1\u2212I2)\u2009\u03c91\u03c92I_3 \\dot{\\omega}_3 = (I_1 – I_2)\\,\\omega_1\\omega_2I3\u200b\u03c9\u02d93\u200b=(I1\u200b\u2212I2\u200b)\u03c91\u200b\u03c92\u200b 3. \u5e73\u8861\u89e3\uff1a\u7ed5\u67d0\u4e3b\u8f74\u7684\u5300\u901f\u81ea\u65cb \u8003\u8651\u7ed5\u7b2c …<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[185],"tags":[],"class_list":["post-5411","post","type-post","status-publish","format-standard","hentry","category-n19raczg26ymrrw"],"_links":{"self":[{"href":"https:\/\/eternalsphere.net\/echoes\/index.php\/wp-json\/wp\/v2\/posts\/5411","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eternalsphere.net\/echoes\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eternalsphere.net\/echoes\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eternalsphere.net\/echoes\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/eternalsphere.net\/echoes\/index.php\/wp-json\/wp\/v2\/comments?post=5411"}],"version-history":[{"count":1,"href":"https:\/\/eternalsphere.net\/echoes\/index.php\/wp-json\/wp\/v2\/posts\/5411\/revisions"}],"predecessor-version":[{"id":5412,"href":"https:\/\/eternalsphere.net\/echoes\/index.php\/wp-json\/wp\/v2\/posts\/5411\/revisions\/5412"}],"wp:attachment":[{"href":"https:\/\/eternalsphere.net\/echoes\/index.php\/wp-json\/wp\/v2\/media?parent=5411"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eternalsphere.net\/echoes\/index.php\/wp-json\/wp\/v2\/categories?post=5411"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eternalsphere.net\/echoes\/index.php\/wp-json\/wp\/v2\/tags?post=5411"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}