diff --git a/.obsidian/plugins/copilot/data.json b/.obsidian/plugins/copilot/data.json
index cde47f3..6b239b5 100644
--- a/.obsidian/plugins/copilot/data.json
+++ b/.obsidian/plugins/copilot/data.json
@@ -155,6 +155,23 @@
       "stream": true,
       "enableCors": true,
       "displayName": "gemini-2.5-flash"
+    },
+    {
+      "name": "gemini-2.5-pro",
+      "provider": "google",
+      "enabled": true,
+      "isBuiltIn": false,
+      "baseUrl": "http://60.205.246.14:8000",
+      "apiKey": "gyz",
+      "isEmbeddingModel": false,
+      "capabilities": [
+        "reasoning",
+        "vision",
+        "websearch"
+      ],
+      "stream": true,
+      "displayName": "gemini-2.5-pro",
+      "enableCors": true
     }
   ],
   "activeEmbeddingModels": [
@@ -285,7 +302,7 @@
       "name": "Translate to Chinese",
       "prompt": "<instruction>Translate the text below into Chinese:\n    1. Preserve the meaning and tone\n    2. Maintain appropriate cultural context\n    3. Keep formatting and structure\n    \n    </instruction>\n\n<text>{copilot-selection}</text>\n<restrictions>\n1. Blade翻译为叶片，flapwise翻译为挥舞，edgewise翻译为摆振，pitch angle翻译成变桨角度，twist angle翻译为扭角，rotor翻译为风轮，turbine、wind turbine翻译为机组、风电机组，span翻译为展向，deflection翻译为变形，mode翻译为模态，normal mode翻译为简正模态，jacket 翻译为导管架，superelement翻译为超单元，shaft翻译为主轴，azimuth、azimuth angle翻译为方位角，neutral axes 翻译为中性轴\n2. Return only the translated text.\n</restrictions>",
       "showInContextMenu": true,
-      "modelKey": "gemma3:12b|ollama"
+      "modelKey": "gemini-2.5-flash|google"
     },
     {
       "name": "Summarize",
@@ -351,7 +368,7 @@
       "name": "check formula",
       "prompt": "<instruct>This formula is wrong, cannot display in latex. check formula \nreturn only corrected formula in latex  </instruct>\n\n<text>{copilot-selection}</text>",
       "showInContextMenu": true,
-      "modelKey": "phi4:latest|ollama"
+      "modelKey": "gemini-2.5-flash|google"
     }
   ]
 }
\ No newline at end of file
diff --git a/书籍/力学书籍/CASEstab_theory_manual/auto/CASEstab_theory_manual.md b/书籍/力学书籍/CASEstab_theory_manual/auto/CASEstab_theory_manual.md
index e6726d3..7e6be8d 100644
--- a/书籍/力学书籍/CASEstab_theory_manual/auto/CASEstab_theory_manual.md
+++ b/书籍/力学书籍/CASEstab_theory_manual/auto/CASEstab_theory_manual.md
@@ -71,25 +71,27 @@ E.3 Miscellaneous formulas 39
 # 1 Structural equations of motion  
 
 This chapter contains the derivations of the nonlinear equations of motion based on the kinematic formulation of articulated substructures to form the entire turbine structure.  
-
+本章包含基于铰接子结构运动学公式的非线性运动方程的推导，以形成整个机组结构。
 # 1.1 Lagrange equations of articulated substructures  
 
-The Lagrangian of a structure ${\cal{L}}=T-V$ is given by its total kinetic energy $T$ and the total potential energy $V$ of the conservative forces acting on the structure, e.g. gravity and elastic forces. Using Lagrange’s equations, the nonlinear equations of motion can be derived as  
-
+The Lagrangian of a structure ${{L}}=T-V$ is given by its total kinetic energy $T$ and the total potential energy $V$ of the conservative forces acting on the structure, e.g. gravity and elastic forces. Using Lagrange’s equations, the nonlinear equations of motion can be derived as  
+结构的拉格朗日量 ${{L}}=T-V$ 由其总动能 $T$ 和作用在结构上的保守力（例如重力和弹力）的总势能 $V$ 给出。利用拉格朗日方程，可以推导出非线性运动方程，如下所示：
 $$
 {\frac{d}{d t}}\left({\frac{\partial L}{\partial{\dot{q}}_{i}}}\right)-{\frac{\partial L}{\partial q_{i}}}+{\frac{\partial D}{\partial{\dot{q}}_{i}}}=Q_{i}\;\;{\mathsf{f o r}}\;\;i=1,\ldots,N_{D}
 $$  
 
-where $D$ is the Rayleigh dissipation function used to model the internal energy dissipation, and $Q_{i}$ is the gen­ eralized force for the generalized coordinate $q_{i}$ due to non­conservative forces handled in the next sections.  
+where $D$ is the Rayleigh dissipation function used to model the internal energy dissipation, and $Q_{i}$ is the gen­eralized force for the generalized coordinate $q_{i}$ due to non­conservative forces handled in the next sections.  
 
 The Lagrangian is a function of the displacements, velocities, and time  
+其中 $D$ 是用于模拟内能耗散的瑞利耗散函数，$Q_{i}$ 是由于下一节中处理的非保守力而作用于广义坐标 $q_{i}$ 的广义力。
 
+拉格朗日量是位移、速度和时间的函数。
 $$
 L=T\left(t,\mathbf{q},{\dot{\mathbf{q}}}\right)-V\left(t,\mathbf{q}\right)
 $$  
 
 where the potential energy of the conservative forces are independent of velocities. Using (1.2) and the chain rule, the first term of (1.1) can be expanded as  
-
+其中保守力的势能与速度无关。利用(1.2)和链式法则，(1.1)的第一项可以展开为
 $$
 \sum_{j=1}^{N_{D}}\frac{\partial^{2}T}{\partial{\dot{q}}_{i}\partial{\dot{q}}_{j}}{\ddot{q}}_{j}+\sum_{j=1}^{N_{D}}\frac{\partial^{2}T}{\partial{\dot{q}}_{i}\partial q_{j}}{\dot{q}}_{j}+\frac{\partial}{\partial t}\bigg(\frac{\partial T}{\partial{\dot{q}}_{i}}\bigg)-\frac{\partial T}{\partial q_{i}}+\frac{\partial D}{\partial{\dot{q}}_{i}}+\frac{\partial V}{\partial q_{i}}=Q_{i}
 $$