From 09465e575b9da21b21a4a053355af0cf0f728ff2 Mon Sep 17 00:00:00 2001
From: aGYZ <5722745+agyz@user.noreply.gitee.com>
Date: Fri, 29 Aug 2025 08:12:39 +0800
Subject: [PATCH] vault backup: 2025-08-29 08:12:39

---
 .../auto/Kallesøe-Equations of motion for a rotor blade.md      | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/线性化求解器/参考文献/Kallesøe-Equations of motion for a rotor blade/auto/Kallesøe-Equations of motion for a rotor blade.md b/线性化求解器/参考文献/Kallesøe-Equations of motion for a rotor blade/auto/Kallesøe-Equations of motion for a rotor blade.md
index ea82777..4c39301 100644
--- a/线性化求解器/参考文献/Kallesøe-Equations of motion for a rotor blade/auto/Kallesøe-Equations of motion for a rotor blade.md	
+++ b/线性化求解器/参考文献/Kallesøe-Equations of motion for a rotor blade/auto/Kallesøe-Equations of motion for a rotor blade.md	
@@ -87,7 +87,7 @@ The derivation of the equations of motion follows the method used in Hodges and
 # Order Scheme  
 
 To avoid unnecessary complications of the equations of motion, relatively small terms are neglected. This is done in a consistent manner by introducing an ordering scheme, assuming $\left(\frac{u}{R},\frac{\nu}{R},\frac{l_{p i}}{R},\frac{l_{c g}}{R},\theta,c\tilde{\theta}^{\prime},c\overline{{{\theta}}}^{\prime},\frac{m^{\prime}l_{c g}}{m l_{c g}^{\prime}}\right)$ to be of order $\varepsilon,$ , where $c=c(s)$ is the local chord, $\varepsilon<<1$ is a bookkeeping parameter denoting the smallness of terms, $(\mathbf{\partial})\equiv{\frac{\mathrm{d}}{\mathrm{d}t}}\,$ and $(\mathbf{\omega})^{'}\equiv\frac{\mathrm{d}\mathbf{\omega}}{\mathrm{d}s}$ . The angular acceleration of the rotor is assumed to be $\ddot{\phi}{\cal R}\sim i i$ . The ordering scheme is applied such that terms of order $\varepsilon^{\mathrm{n+2}}$ or higher are neglected, where $n$ is the lowest order of a term in the expression.  
-为了避免运动方程的过度复杂化，相对较小的项被忽略。这通过引入排序方案以一致的方式进行，假设 $\left(\frac{u}{R},\frac{\nu}{R},\frac{l_{p i}}{R},\frac{l_{c g}}{R},\theta,c\tilde{\theta}^{\prime},c\overline{{{\theta}}}^{\prime},\frac{m^{\prime}l_{c g}}{m l_{c g}^{\prime}}\right)$ 为 $\varepsilon$ 阶，其中 $c=c(s)$ 是局部叶片弦长，$\varepsilon<<1$ 是一个记账参数，表示项的微小程度，$(\mathbf{\partial})\equiv{\frac{\mathrm{d}}{\mathrm{d}t}}\,$ 和 $(\mathbf{\omega})^{'}\equiv\frac{\mathrm{d}\mathbf{\omega}}{\mathrm{d}s}$ 。风轮的角加速度被假定为 $\ddot{\phi}{\cal R}\sim i i$ 。排序方案应用于使阶数为 $\varepsilon^{\mathrm{n+2}}$ 或更高阶的项被忽略，其中 $n$ 是表达式中项的最低阶数。
+为了避免运动方程的过度复杂化，相对较小的项被忽略。这通过引入排序方案以一致的方式进行，假设 $\left(\frac{u}{R},\frac{\nu}{R},\frac{l_{p i}}{R},\frac{l_{c g}}{R},\theta,c\tilde{\theta}^{\prime},c\overline{{{\theta}}}^{\prime},\frac{m^{\prime}l_{c g}}{m l_{c g}^{\prime}}\right)$ 为 $\varepsilon$ 阶，其中 $c=c(s)$ 是局部叶片弦长，$\varepsilon<<1$ 是一个记账参数，表示项的微小程度，$(\mathbf{})\equiv{\frac{\mathrm{d}}{\mathrm{d}t}}\,$ 和 $(\mathbf{})^{'}\equiv\frac{\mathrm{d}\mathbf{}}{\mathrm{d}s}$ 。风轮的角加速度被假定为 $\ddot{\phi}{\cal R}\sim i i$ 。排序方案应用于使阶数为 $\varepsilon^{\mathrm{n+2}}$ 或更高阶的项被忽略，其中 $n$ 是表达式中项的最低阶数。
 
 
 # Transformations