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%!Mode:: "TeX:UTF-8"
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\usepackage[UTF8]{ctex}
\usepackage{geometry}
\geometry{left=2.5cm,right=2.5cm,top=2.5cm,bottom=2.5cm}
\usepackage{longtable,booktabs,array}
\usepackage{amsmath,amssymb}
\usepackage{hyperref}
\usepackage{xcolor}
\usepackage{listings}
\usepackage{fontspec}
\setmonofont{Courier New}

\hypersetup{colorlinks=true,linkcolor=blue,citecolor=blue,urlcolor=blue}

% ¶¨ÒåPDK°æ±¾ÐÅÏ¢
\newcommand{\pdkversion}{V0.1-concept}
\newcommand{\pdkdate}{2026Äê3ÔÂ}

\title{\textbf{ijÆóÒµ¼¤¹âÈÛ¸²É豸PDKÎĵµÄ£°å}}
\date{\pdkdate}

\begin{document}

\maketitle

\begin{center}
\fbox{%
\begin{minipage}{0.9\textwidth}
\centering
\textbf{ÖØÒªÉùÃ÷}

±¾ÎļþΪ¸ÅÄîÐÔPDK£¨¹¤ÒÕÉè¼ÆÌ×¼þ£©Ä£°å£¬Ö¼ÔÚչʾ¼¤¹âÈÛ¸²É豸PDKµÄ¿ÉÄܽṹ¡£ÎļþÖÐËùÁм¼Êõ²ÎÊýÀ´Ô´ÓÚ¹«¿ªµÄ²úÆ·×ÊÁÏ£¬µ«\textbf{δ¾­Êµ¼ÊʵÑé±ê¶¨ºÍÑéÖ¤}£¬²»¹¹³ÉÈκÎÐÎʽµÄ¼¼Êõ³Ðŵ»òÐÔÄܱ£Ö¤¡£Õýʽ¿ÉÓõÄPDKÐè½áºÏ´óÁ¿Êµ²âÊý¾Ý½øÐÐУ׼¡£
\end{minipage}%
}
\end{center}

\vspace{1cm}

\section{PDK¸ÅÊö}

\subsection{»ù±¾ÐÅÏ¢}

\begin{tabular}{|l|l|}
\hline
\textbf{ÏîÄ¿} & \textbf{ÄÚÈÝ} \\
\hline
PDKÃû³Æ & LMD\_PDK\_Template \\
°æ±¾ & \pdkversion \\
·¢²¼ÈÕÆÚ & \pdkdate \\
ÊÊÓÃÉ豸 & ijÆóÒµ¶à¹¦Äܼ¤¹âÈÛ¸²/´ã»ðÉ豸ϵÁУ¨ÐͺŠGS-H3000-6000C µÈ£© \\
ÊÊÓù¤ÒÕ & ¼¤¹âÈÛ¸²£¨¶¨ÏòÄÜÁ¿³Á»ý£¬DED£© \\
Éè¼ÆÄ¿µÄ & Ϊ¡°Î¢¹Û½á¹¹EDAÈí¼þ¡±ÌṩÉ豸¹¤ÒÕÄÜÁ¦µÄ±ê×¼»¯ÃèÊö£¬Ê¹Éè¼Æ¶ËÄܹ»¸ù¾ÝÐÔÄÜÐèÇó·´Ñݹ¤ÒÕ²ÎÊý \\
\hline
\end{tabular}

\subsection{PDKÎļþ½á¹¹}

\begin{verbatim}
LMD_PDK_Template_V0.1/
©À©¤©¤ README.pdf                // ±¾Îļþ£¬°æ±¾ËµÃ÷
©À©¤©¤ Tech_File/                // ¼¼ÊõÎļþ²ã
©¦   ©À©¤©¤ Equipment_Spec.pdf    // É豸Ӳ¼þÄÜÁ¦²ÎÊý
©¦   ©À©¤©¤ Material_Data/        // ²ÄÁϹ¤ÒÕÊý¾Ý°ü
©¦   ©¦   ©À©¤©¤ Fe_Base.csv       // Ìú»ùºÏ½ð¹¤ÒÕÊý¾Ý
©¦   ©¦   ©À©¤©¤ Ni_Base.csv       // Äø»ùºÏ½ð¹¤ÒÕÊý¾Ý
©¦   ©¦   ©¸©¤©¤ Co_Base.csv       // îÜ»ùºÏ½ð¹¤ÒÕÊý¾Ý
©¦   ©¸©¤©¤ Process_Window.pdf    // ÍÆ¼ö¹¤ÒÕ´°¿Ú
©À©¤©¤ Model_Library/             // Ä£ÐÍ¿â²ã
©¦   ©À©¤©¤ Thermal_Model.m       // ÈÈÔ´Ä£ÐÍ£¨MATLAB/Python¸ñʽ£©
©¦   ©À©¤©¤ Microstructure_Model.m // ΢¹Û½á¹¹Ô¤²âÄ£ÐÍ
©¦   ©¸©¤©¤ Compact_API/           // ½ô´ÕÄ£Ð͵÷ÓýӿÚ
©¦       ©À©¤©¤ predict_rho.py     // λ´íÃܶÈÔ¤²â
©¦       ©À©¤©¤ predict_hardness.py // Ó²¶ÈÔ¤²â
©¦       ©¸©¤©¤ inverse_process.py  // ¹¤ÒÕ²ÎÊý·´ÑÝ
©À©¤©¤ Rule_Deck/                 // Éè¼Æ¹æÔò¼ì²é
©¦   ©À©¤©¤ DRC_Rules.pdf         // Éè¼Æ¹æÔòÊÖ²á
©¦   ©¸©¤©¤ Examples/              // ʾÀýÉè¼ÆÎļþ
©¦       ©À©¤©¤ Shaft_Example.gcode
©¦       ©¸©¤©¤ Report_Shaft.pdf
©¸©¤©¤ License/                   // ʹÓÃÊÚȨ
    ©¸©¤©¤ LICENSE.txt
\end{verbatim}


\section{¼¼ÊõÎļþ²ã}

\subsection{É豸Ӳ¼þÄÜÁ¦²ÎÊý£¨Equipment\_Spec£©}

¸ù¾ÝijÆóÒµ¹ÙÍø¼°²úÆ·×ÊÁÏ£¬Æä¶à¹¦Äܼ¤¹âÈÛ¸²/´ã»ðÉ豸£¨ÒÔÐͺŠGS-H3000-6000C ΪÀý£©µÄÖ÷Òª¼¼Êõ²ÎÊýÈçÏ£º

\begin{longtable}{|l|l|}
\hline
\textbf{²ÎÊýÀà±ð} & \textbf{¼¼ÊõÖ¸±ê} \\
\hline
¼¤¹âÆ÷ÀàÐÍ & °ëµ¼Ì弤¹âÆ÷ / ¹âÏ˼¤¹âÆ÷£¨¿ÉÑ¡£© \\
¼¤¹â¹¦ÂÊ·¶Î§ & 1000 ¨C 12000 W£¨Á¬Ðø¿Éµ÷£© \\
¼¤¹â²¨³¤ & 900 ¨C 1100 nm \\
¾Û½¹¹â°ß & Ô²Ðιâ°ß¡¢·½Ðιâ°ß¿ÉÑ¡ \\
\hline
Ô˶¯ÏµÍ³ & ÁùÖṤҵ»úÆ÷ÈË£¨KUKA/ABB/FANUC¿ÉÑ¡£© \\
»úÆ÷È˱ÛÕ¹ & 1800 ¨C 2500 mm \\
»úÆ÷È˸ºÔØ & $>$25 kg \\
¶¨Î»¾«¶È & $\pm0.05$ mm \\
\hline
¼Ó¹¤ÄÜÁ¦ & \\
\quad ×î´ó¼Ó¹¤Ö±¾¶ & 2000 mm \\
\quad ×î´ó¼Ó¹¤³¤¶È & $>$3000 mm£¨¿É¶¨ÖÆ£© \\
\quad ×î´óÔØÖØ & 10 T \\
\quad Ö÷ÖáתËÙ & 0 ¨C 100 r/min \\
\hline
ËÍ·Ûϵͳ & ˫Ͳ¸ß¾«¶ÈËÅ·þËÍ·ÛÆ÷£¬¿ÉÔ¤ÈÈ \\
ËÍ·ÛËÙÂÊ & 0 ¨C 150 g/min \\
ËÍ·Û¾«¶È & $\leq\pm1\%$ \\
·ÛÄ©ÀûÓÃÂÊ & $>$90\% \\
\hline
ÈÛ¸²Í·²ÎÊý & \\
\quad ÊÊÓù¦ÂÊ & 8000 W \\
\quad ×¼Ö±½¹¾à & 75 mm / 100 mm \\
\quad ¾Û½¹½¹¾à & 300 mm / 350 mm£¨¿É¶¨ÖÆ£© \\
\quad ËÍ·ÛÂÊ & 2 ¨C 80 g/min \\
\quad ·ÛÄ©½¹µã³ß´ç & 3 ¨C 8 mm \\
\quad ÊÊÓ÷ÛÄ©Á£¶È & 25 ¨C 160 $\mu$m \\
\hline
¿ØÖÆÏµÍ³ & ÈË»ú½çÃæ¿ØÖÆÏµÍ³£¬Ê¾½Ì±à³Ì \\
ÀäÈ´·½Ê½ & ÖÇÄÜË«ÎÂË«¿Ø£¬20-40¡æ \\
Ï¡ÊÍÂÊ¿ØÖÆ & $\leq3\%$ \\
ÈÛ¸²²ãºñ¶È & µ¥²ã0.2 ¨C 2.5 mm£¬¶à²ãÀÛ¼Ó¿É´ï10 mmÒÔÉÏ \\
ÈÛ¸²ÏßËÙ¶È & 0.5 ¨C 20 m/min£¨¸ßËÙÈÛ¸²¿É´ï100-500 mm/s£© \\
\hline
\end{longtable}

\subsection{²ÄÁϹ¤ÒÕÊý¾Ý°ü£¨Material\_Data£©}

É豸֧³Ö¶àÖֺϽð·ÛÄ©²ÄÁϵÄÈÛ¸²¼Ó¹¤£¬°üÀ¨£º
\begin{itemize}
\item Fe»ùºÏ½ð£¨Ìú»ù£©
\item Ni»ùºÏ½ð£¨Äø»ù£©
\item Ni»ù̼»¯ÎÙ
\item Co»ùºÏ½ð£¨îÜ»ù£©
\item îѺϽð¡¢ÂÁºÏ½ð¡¢Í­ºÏ½ðµÈ£¨ÐèÌØ¶¨ÅäÖã©
\end{itemize}

¶ÔÓÚÿÖÖ²ÄÁÏ£¬PDKÐèÌṩÒÔϹ¤ÒÕ-ÐÔÄÜÓ³ÉäÊý¾Ý£¨ÒÔFe-Cr-Mo-Ni-VϵÌú»ùºÏ½ðΪÀý£©£º

\begin{table}[htbp]
\centering
\caption{Ìú»ùºÏ½ð£¨Fe-Cr-Mo-Ni-V£©¹¤ÒÕÊý¾ÝÄ£°å}
\begin{tabular}{|l|l|}
\hline
\textbf{²ÎÊýÏî} & \textbf{ʾÀýÊý¾Ý£¨Ðèʵ²â±ê¶¨£©} \\
\hline
²ÄÁÏÃû³Æ & Fe-Cr-Mo-Ni-V \\
·ÛÄ©Á£¶È·¶Î§ & 45 ¨C 105 $\mu$m \\
ËÉ×°ÃÜ¶È & 4.0 ¨C 4.5 g/cm3 \\
\hline
¹¤ÒÕ´°¿Ú & \\
\quad ÍÆ¼ö¼¤¹â¹¦ÂÊ & 1400 ¨C 1800 W \\
\quad ÍÆ¼öɨÃèËÙ¶È & 4 ¨C 8 mm/s \\
\quad ÍÆ¼öËÍ·ÛÂÊ & 12 ¨C 18 g/min \\
\quad ²ã¼äζȿØÖÆ & $\leq250^\circ$C \\
\hline
ÈÛ³ØÌØÕ÷ & \\
\quad ÈÛÉî vs ¹¦ÂÊ & $D_p = 0.2 \cdot (P/1000)^{0.8}$ £¨ÄâºÏ¹«Ê½£© \\
\quad Ï¡ÊÍÂÊ vs ËÙ¶È & $\eta = 5.2 \cdot v^{-0.4}$ \\
\hline
΢¹Û½á¹¹ & \\
\quad λ´íÃÜ¶È & $\rho = 1\times10^{12} + 3\times10^{-5} \cdot \dot{T}^{0.6}$ \\
\quad ¾§Á£³ß´ç & $GS = 25 \cdot (P/v)^{-0.2}$ $\mu$m \\
\hline
Á¦Ñ§ÐÔÄÜ & \\
\quad Ó²¶È & $HV = 200 + 0.02 \cdot \sqrt{\rho}$ \\
\quad Çü·þÇ¿¶È & $\sigma_y = \sigma_0 + \alpha G b \sqrt{\rho}$£¨$\alpha=0.3$£© \\
\hline
ÊÊÓ÷¶Î§ & Æû³µ°ëÖá¡¢¹¤³Ì»úеÖáÀàÁã¼þ \\
\hline
\end{tabular}
\end{table}


\section{Ä£ÐÍ¿â²ã}

\subsection{ÈÈÔ´Ä£ÐÍ£¨Thermal Model£©}

¼¤¹âÈÛ¸²¹ý³ÌµÄÈÈÔ´¿É½üËÆÎª¸ß˹ÌåÈÈÔ´Ä£ÐÍ£º
\begin{equation}
Q(x,y,z) = \frac{2\eta P}{\pi r_0^2} \exp\left(-\frac{2(x^2+y^2)}{r_0^2}\right) \cdot \exp\left(-\frac{|z|}{h}\right)
\label{eq:heat}
\end{equation}
ÆäÖУº
\begin{itemize}
\item $P$£º¼¤¹â¹¦ÂÊ£¨W£©
\item $\eta$£ºÎüÊÕЧÂÊ£¨Í¨³£0.3-0.5£©
\item $r_0$£º¹â°ß°ë¾¶£¨mm£©
\item $h$£ºÈÈÔ´´©Í¸Éî¶È£¨mm£©
\end{itemize}

\subsection{΢¹Û½á¹¹Ô¤²âÄ£ÐÍ£¨Microstructure Model£©}

\textbf{λ´íÃܶÈÑÝ»¯Ä£ÐÍ}£º
\begin{equation}
\rho = \rho_0 + k_1 \cdot \dot{T}^{n_1} - k_2 \cdot t_{\text{anneal}}
\label{eq:dislocation}
\end{equation}
ÆäÖÐ $\dot{T}$ ΪÀäÈ´ËÙÂÊ£¬¿Éͨ¹ýÈÈÄ£ÐͼÆË㣺
\begin{equation}
\dot{T} = \frac{2\pi k v (T_m - T_0)^2}{\eta P}
\label{eq:cooling}
\end{equation}

\textbf{Ó²¶ÈÔ¤²âÄ£ÐÍ}£º
\begin{equation}
HV = HV_0 + k_3 \cdot \sqrt{\rho} + k_4 \cdot GS^{-0.5}
\label{eq:hardness}
\end{equation}

\subsection{½ô´ÕÄ£Ð͵÷Óýӿڣ¨Compact API£©}

ÒÔÏÂÊÇPython·ç¸ñµÄAPI½Ó¿ÚʾÀý£¬¹©ÉϲãEDAÈí¼þµ÷Óãº

\begin{lstlisting}[language=Python, caption=predict\_rho.py - λ´íÃܶÈÔ¤²â½Ó¿Ú]
# λ´íÃܶÈÔ¤²âº¯Êý
def predict_dislocation_density(material, power, speed, interlayer_temp, base_temp=25):
    """
    Ô¤²â¸ø¶¨¹¤ÒÕ²ÎÊýϵÄλ´íÃܶÈ
   
    ²ÎÊý:
        material: str, ²ÄÁÏÃû³Æ (Èç 'Fe-Cr-Mo-Ni-V')
        power: float, ¼¤¹â¹¦ÂÊ (W)
        speed: float, ɨÃèËÙ¶È (mm/s)
        interlayer_temp: float, ²ã¼äÎÂ¶È (¡æ)
        base_temp: float, »ùÌå³õʼÎÂ¶È (¡æ)
        
    ·µ»Ø:
        dict: °üº¬Î»´íÃܶȡ¢ÀäÈ´ËÙÂʵÈÔ¤²â½á¹û
    """
    # 1. ¼ÆËãÀäÈ´ËÙÂÊ
    T_m = get_melting_point(material)  # ÈÛµã
    eta = get_absorption(material)     # ÎüÊÕÂÊ
    k = get_thermal_conductivity(material)  # Èȵ¼ÂÊ
   
    cooling_rate = (2 * 3.14159 * k * speed * (T_m - interlayer_temp)**2) / (eta * power)
   
    # 2. λ´íÃܶÈÄ£ÐÍ (ÐèʵÑé±ê¶¨µÄϵÊý)
    rho_0 = 1e12  # »ù´¡Î»´íÃܶÈ
    k1 = 3e-5     # ÔöֳϵÊý
    n1 = 0.6      # Ö¸Êý
   
    rho = rho_0 + k1 * (cooling_rate ** n1)
   
    # 3. ·µ»Ø½á¹û
    return {
        'cooling_rate': cooling_rate,
        'dislocation_density': rho,
        'valid_range': [1e12, 8e14],
        'confidence': 0.85  # Ä£ÐÍÖÃÐŶÈ
    }
\end{lstlisting}

\begin{lstlisting}[language=Python, caption=inverse\_process.py - ¹¤ÒÕ²ÎÊý·´ÑݽӿÚ]
# ¹¤ÒÕ²ÎÊý·´Ñݺ¯Êý
def inverse_process(material, target_rho, constraints={}):
    """
    ¸ù¾ÝÄ¿±êλ´íÃܶȷ´ÑÝÍÆ¼ö¹¤ÒÕ²ÎÊý
   
    ²ÎÊý:
        material: str, ²ÄÁÏÃû³Æ
        target_rho: float, Ä¿±êλ´íÃÜ¶È (m^{-2})
        constraints: dict, Ô¼ÊøÌõ¼þ (Èç max_power, min_speed µÈ)
        
    ·µ»Ø:
        dict: ÍÆ¼öµÄ¹¤ÒÕ²ÎÊý×éºÏ
    """
    # ´Ó²ÄÁÏÊý¾Ý¿â»ñÈ¡¹¤ÒÕ´°¿Ú
    window = get_process_window(material)
   
    # ÓÅ»¯Ëã·¨£ºÑ°ÕÒ×î½Ó½üÄ¿±êλ´íÃܶȵŤÒÕ²ÎÊý×éºÏ
    # ´Ë´¦Îª¼ò»¯Ê¾Òâ
   
    result = {
        'power': 1600,      # ÍÆ¼ö¹¦ÂÊ (W)
        'speed': 6,         # ÍÆ¼öËÙ¶È (mm/s)
        'flow_rate': 15,    # ÍÆ¼öËÍ·ÛÂÊ (g/min)
        'interlayer_temp': 220,  # ÍÆ¼ö²ã¼äÎÂ¶È (¡æ)
        'predicted_rho': 5.2e14,  # Ô¤²âλ´íÃܶÈ
        'error': 4.2,       # Ô¤²âÎó²î (%)
        'feasibility': 0.92 # ¿ÉÐÐÐÔÆÀ·Ö
    }
   
    return result
\end{lstlisting}


\section{Éè¼Æ¹æÔò¼ì²é£¨Rule Deck£©}

Ϊ±£Ö¤Éè¼ÆµÄ¿ÉÖÆÔìÐÔ£¬PDKÐè°üº¬ÒÔÏÂÉè¼Æ¹æÔò£º

\begin{longtable}{|l|l|}
\hline
\textbf{¹æÔòÃû³Æ} & \textbf{¹æÔòÃèÊö} \\
\hline
×îС±Úºñ & ÈÛ¸²²ã×îСºñ¶È $\ge 0.2$ mm£¬·ñÔòÒ׳öÏÖδÈÛºÏȱÏÝ \\
×î´óµ¥²ãºñ¶È & µ¥²ãÈÛ¸²ºñ¶È $\le 0.5$ mm£¨È¡¾öÓÚ·ÛÄ©Á£¶ÈºÍ¹¦ÂÊ£© \\
¹ý¶ÉÇøÌÝ¶È & ³É·ÖÌݶȱ仯ÿ²ã $\le 10\%$£¬·ñÔòÈÈÓ¦Á¦¹ý´ó \\
Ðü¿Õ½á¹¹ & Ðü¿Õ½Ç¶È $\ge 45^\circ$ ÐèÌí¼ÓÖ§³Å \\
ÏàÁÚÈÛµÀ´î½ÓÂÊ & ÍÆ¼ö´î½ÓÂÊ 30-50\%£¬ÒÔ±£Ö¤±íÃæÆ½Õû¶È \\
×î´óÉî¿í±È & ÈÛ¸²µÀÉî¿í±È $\le 1:3$£¬·ñÔòÒײúÉúÆø¿× \\
²ã¼äζȿØÖÆ & ²ã¼äÎÂ¶È $\ge 200^\circ$C ÇÒ $\le 300^\circ$C£¨¸ù¾Ý²ÄÁϵ÷Õû£© \\
\hline
\end{longtable}


\section{ʹÓÃÊÚȨÓëÃâÔð}

±¾PDKÄ£°å½öΪ¸ÅÄîÉè¼Æ£¬Æä֪ʶ²úȨ¹éÉè¼ÆÕßËùÓС£Î´¾­ÊÚȨ²»µÃÓÃÓÚÉÌÒµÓÃ;¡£ÕýʽPDKµÄ¿ª·¢Ðè¾­¹ý´óÁ¿ÊµÑé±ê¶¨£¬½¨ÒéʹÓÃÕßÓëÉ豸³§É̺Ï×÷Íê³É¡£

\begin{center}
\textbf{¡ª¡ª Ä£°å½áÊø ¡ª¡ª}
\end{center}

\end{document}
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