齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开- { e6 G8 k5 F1 B+ I
4 |" |7 e* u* k/ ]& z不再神神秘秘,齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开,源程序见下面:1@,H$y)P4[-Q0 a% f) B! @. |; T* E
一、齿轮轮齿渐开渐开线% u) r0 Z% h. ?0 Z
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代码:9 Z$ Y0 z# N" j, e
(defun c:gear(/)
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setq4 u3 j/ p" {) b4 L/ Q* A
p0 (getpoint"输入齿轮中心p0: ")
& ^& A6 K9 x; X3 h/ H3 r! t0 v) [m (getreal"输入齿轮模数M: ")9 M1 c& t/ w% o2 _2 Z9 l
z (getint"输入齿轮齿数Z: ")
& G' Z3 }% p$ C. k; g( hha 1
k+ l, @ `6 g# c3 kc 0.25
' E! a( K0 \0 E% z; ]- ^a (/ pi 9)6 Z% s* V4 p; r% w" g, N
ra(/ (* (+ z (+ ha ha)) m) 2); [ O7 z! y/ d5 Q" h
rf(/ (* (- z (+ (+ ha ha) c)) m) 2)
' @/ y( a% x `' O/ C) X Cr(/ ( * m z) 2), t: ]9 a9 Z8 n7 d. m+ \8 H
rb ( * r (cos a))
8 ^, z2 P" y ?" [4 ?: x8 W$ S& Kri rb! e& j1 |" c/ n$ h, ?7 _$ q' k7 w
ang 0
) k1 _ u' Z& b7 P4 e4 p6 G; ag (polar p0 ang rb)
; `5 V4 [* A0 t* H- V)
% @9 {; b/ A1 S: j(command "circle" p0 ra)
% k7 Q, M* M- P6 p(command "circle" p0 rf)" {- a4 c2 c: }& O
(command "circle" p0 r); a# g" c4 k8 `4 M5 P$ r
(command "line" g)
0 N0 |( U; A/ p# T# O- \1 p* ]$ U% J
(while (< ri ra)6 |' B' n3 b* h4 c/ u' A
(setq
& r; Z- P, W! m8 ^+ Uang ( + ang(/ pi 360))2 Y8 G$ h% Y' S7 G
ri ( / rb (cos ang))4 |- Z- {- D# F* Q8 t4 d
cta ( - (/ (sin ang) (cos ang)) ang)
/ N4 a& r1 K) G; z8 R# Q+ Eg(polar p0 cta ri)7 y1 w1 K/ X+ c9 x, p8 G# c2 d8 D
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(command g)2 Z: s. ^$ ~( r2 X9 ^% Y
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(command ) 4 ~7 j& d# |' x" T: y
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( U5 N) l1 [( W9 }" s0 |$ P' D' ?
, q. M' @2 [3 o$ l# _$ r+ y0 ^二、螺旋源程序& N8 r8 }( @+ d8 U" x$ Y) A5 `' y
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( [6 l2 }) N/ s m3 S4 m y代码:
; ?% g- j7 C# u: U* _(defun errMsg (s)
1 s" `: b; r& l( [(if (/= s "function cancelled") (princ (strcat "
2 a* g) @: n6 h8 r! q5 K AError: " s)))
4 ^9 `% a# K2 z3 U# I/ `- W; 当命令执行时出现错误8 @+ h- a$ d: b9 ^
(setvar "cmdecho" ocmdold) ; 例如用户按下了CTRL + C
" q3 @1 ^8 W2 Z L% e(setvar "osmode" osmold)
+ t6 t- V# M6 ?4 g5 Q(setq *error* olderr) ; 恢复旧的错误处理
( A4 i9 O' V7 C. o1 X(princ)
+ l% ~8 s: l; |- [# v! |)
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(defun c:3Dthread (/ radouter threadpitch threadlength threadangle 6 q9 u3 y P4 a# o8 U9 h3 }
ptStart innerdiafactor radmid radinner ocmdold osmold 4H 5H 6H h6 g6). g1 F( Z* v2 y1 U3 y8 d
;-------------------------------------------------------------------" k) V( {7 @: K
; 获取公制外径大小、螺距总长7 F$ u2 _8 E+ @+ ^) w5 M: P7 o# O* z
; 然后计算一系列几何点* ?* N( x/ z: K$ h6 J' ~- u
; 并且关闭对象捕捉、命令回显' o9 A& L- D. D r
;-------------------------------------------------------------------
% g3 q9 ` J) O9 M(setq 4H (list 0.0015 0.002 0.002 0.0025 0.003 0.0035 0.004 0.005 0.006 0.007 0.008 0.009 0.010))
3 D: L" _9 ^! v& k8 u7 o6 X+ o(setq 5H (list 0.002 0.0025 0.003 0.004 0.0045 0.0055 0.0065 0.0075 0.009 0.010 0.0115 0.0125 0.0135))
. |5 y2 H O( f: E5 H(setq 6H (list 0.003 0.004 0.0045 0.0055 0.0065 0.008 0.0095 0.011 0.0125 0.0145 0.016 0.018 0.020)) o' G9 T- S3 ?7 H. p
(setq h6 (list -0.003 -0.004 -0.0045 -0.0055 -0.0065 -0.008 -0.0095 -0.011 -0.0125 -0.0145 -0.016 -0.018 -0.020)) 2 s3 q8 w. R! ?; n4 ^ P2 r
(setq g6 (list -0.005 -0.008 -0.0095 -0.0115 -0.0135 -0.017 -0.0195 -0.023 -0.0265 -0.0295 -0.033 -0.036 -0.0515)) 9 X8 T g# O6 Z1 [% \, T7 M! s
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(setq osmold (getvar "osmode")) ; 保存调用前的osmode系统变量值
0 X0 o- h" n0 r% o) @4 M(setq ocmdold (getvar "cmdecho")) ; 保存调用前的cmdecho系统变量值
8 f- e7 u0 t! ^5 W$ \. X4 l(setvar "osmode" 0) ; 关闭对象捕捉
( E; e+ x! Q1 m/ c. K+ Y(setvar "cmdecho" 0) ; 关闭命令的回显( i3 f8 e% g0 I2 L
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(setq innerdiafactor 1.5) ; 设置内径系数
* N0 N4 L, {2 {" K(initget 7) ; radmid 必须非零、非空、非负8 b/ ?5 ^: t6 k
(setq radmid (getdist "
0 N, O- c4 _$ G- f+ y4 f公制外径: "))
1 f8 i/ }! y* J+ K$ @(initget 7) ; threadpitch 必须非零、非空、非负6 F7 a$ Q* {, g9 _ R/ H
(setq threadpitch (getreal "7 p: n6 m0 k" _6 \& A' U
螺距: "))% d* a+ S' t" z# A- L" \$ P
(initget 1) ; ptStart 必须非空4 ^& g2 y5 T, l0 w2 C# R
(setq ptStart (getpoint "0 b2 f, d+ v* j1 e4 S
起始点: "))
2 b1 g4 Z/ q! J2 J* i6 s( l(initget 3) ; threadlength 必须非零、非空、非负& K& s" c. M: v- ?+ Q, x9 ?
(setq threadlength (getdist "3 M9 D5 R# q. L( Z& j, V) h
螺纹总长(Y方向): "))9 B! I; T& {9 ?7 `
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; 对公制外径添加公差) Y& L6 R8 {. v$ x& D: U
(if (<= radmid 3) (setq order 0) ; 根据公制外径确定公差带中位置
2 v% F2 o5 u4 ]2 [2 k8 m M4 D* C(if (<= radmid 6) (setq order 1)
5 C" D3 {# B! W9 S; B5 @5 B/ p. r(if (<= radmid 10) (setq order 2)# `/ K: o6 d7 O( E. t. _& w- B/ x7 d% u+ I
(if (<= radmid 18) (setq order 3)
, _( X& G) X+ _7 @, H, c(if (<= radmid 30) (setq order 4)5 y" K# z: z1 t* q
(if (<= radmid 50) (setq order 5)+ ^, K; @& m+ F2 j" y
(if (<= radmid 80) (setq order 6)
Z2 ]- y9 l" X" [/ S(if (<= radmid 120) (setq order 7)
$ j! V0 l: x, o! j" k(if (<= radmid 180) (setq order 8)/ k/ t; S, S. V; s
(if (<= radmid 250) (setq order 9)& \$ b Q5 B4 C8 [" i( d
(if (<= radmid 315) (setq order 10)
- m; e. v; v b(if (<= radmid 400) (setq order 11)
5 E* y# u) `, D7 w8 F% u% V; B$ @(if (<= radmid 500) (setq order 12)
+ [" M2 P( E; X- {$ G)))))))))))))& j' g z) ^4 I2 p) R8 e0 ?
# G) V1 D( }( F(if (< threadpitch 0.25) (setq radmid (+ radmid (nth order 4H))) ; 根据螺距确定公差带
/ V& X' {( P( |- a1 b* f! }(if (< threadpitch 0.35) (setq radmid (+ radmid (nth order 5H)))# h6 e+ W4 ~! w i/ U2 N& |. C/ C9 N
(if (>= threadpitch 0.35) (setq radmid (+ radmid (nth order 6H)))
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' H4 ^9 _! u0 D, }(setq h (* 0.866025 threadpitch)) ; 计算齿高
' _4 m) s2 n8 o# w# y(setq radouter (+ radmid (/ h 4))) ; 计算外径* K0 P6 |9 y$ H4 D1 m
(setq radinner (- radouter (* h innerdiafactor))) ; 计算内径
2 ^! B$ k! Q3 M2 e k(setq threadangle (+ 30 0)) ; 计算齿顶角
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(auxithread radouter radmid radinner threadpitch threadlength threadangle ptStart) ; 调用绘制三维螺纹的子函数' H# L/ ]+ [+ c
& Q4 _$ N# v+ f/ f(princ "# I2 f/ L, R- f1 i ?, V
三维螺纹创建完成")
* S) G4 }- j/ A6 f(setvar "osmode" osmold) ; 恢复调用前的osmode系统变量值5 C: e( @2 d/ S. [! }1 A# u' u. B
(setvar "cmdecho" ocmdold) ; 恢复调用前的cmdecho系统变量值
" B6 E2 P8 V) r$ O% q(princ)
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(defun auxithread (radouter radmid radinner threadpitch threadlength threadangle ptStart / ttal pt1z ang pt1a
0 I8 V: p/ P( }0 n1 T: xpt1az pt3a pt1b pt1bz pt3b pttmp1 pttmp2 pttmp3 pttmp4 pttmp5 pttmp6 pttmp7 pttmp8 pttmp9 pttmp10 pttmp11 pttmp12 tstmp startcone endcone)
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6 k4 n' m% D. x2 Y. H7 i0 x;(command "undo" "begin") ; 开始undo步骤
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0 M1 E" o( a' d4 c9 p" s [. @; _(setq ttal (+ (fix (/ (abs threadlength) threadpitch)) 3), _' U' \: ^( G
pttmp1 (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (caddr ptStart))4 \6 T& e) B& S5 F3 R3 d$ O+ D& \
pt1z (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (+ (caddr pttmp1) 1.0))& T e& b( Y# C% g2 ]; h% q
pttmp2 (polar pttmp1 (/ (* threadangle pi) 180.0) 1)
( x- q. t1 ^& kpttmp3 (list (+ (car pttmp1) radouter) (+ (cadr pttmp1) (/ threadpitch 2.0)) (caddr ptStart))% I5 |" \/ u2 k- [9 ~, ~ C# k
ang (angle pttmp1 pttmp3)
) j) @0 t* N# ^- r" W4 ~. opt1a (polar pttmp1 (+ ang (/ pi 2.0)) threadpitch)
/ i, r* Q. @: w' o% s4 rpt1az (list (car pt1a) (cadr pt1a) (+ (caddr pt1a) 1.0))5 l4 w+ Y/ X6 ]& W& z& P
pt3a (polar pt1a ang radouter)
% ]. e+ m1 D' H: jpt1b (polar pttmp1 (- ang (/ pi 2.0)) threadpitch)
- j# F1 l( v* E3 a. T; B/ ]5 ppt1bz (list (car pt1b) (cadr pt1b) (+ (caddr pt1b) 1.0))
5 ?& n4 I3 S3 Wpt3b (polar pt1b ang radouter): z1 F7 m* V* u4 B! y! N& b
pttmp4 (polar pttmp3 (/ (* (- 180 threadangle) pi) 180.0) 1)& x3 Z: s5 j8 x5 r) b" z; l9 h l
pttmp5 (inters pttmp1 pttmp2 pttmp3 pttmp4 nil): Y I6 O$ ^8 @0 b3 ]# b! _4 K0 {
pttmp6 (list (car pttmp5) (cadr ptStart) (caddr ptStart))
* Q# B3 H+ k+ W& l- b; i0 j2 O* Epttmp7 (polar pttmp1 (/ (* (- 360 threadangle) pi) 180.0) 1)
! U" M3 s8 v% \* r# U- X+ qpttmp8 (polar pttmp3 (/ (* (+ 180 threadangle) pi) 180.0) 1)
" N4 ?, u, l9 Q. F8 I7 u6 J* spttmp9 (inters pttmp1 pttmp7 pttmp3 pttmp8 nil)! ?6 n" L2 f1 J( n& p' |: a% }0 M! s
pttmp10 (list (car pttmp9) (cadr pttmp3) (caddr pttmp3))9 j2 {# W4 t/ s, u
pttmp11 (polar ptStart (/ pi 2.0) threadpitch)
0 l3 l2 R" @" Q. j* ]5 |6 I) epttmp12 (polar pttmp11 (/ pi 2.0) (abs threadlength))8 e- t' H7 ^3 ^+ Y" i4 b2 b5 Y
)
+ [; f( I ~% o
# n$ R: p0 X- Y( K. H; M9 Y;-------------------------------------------------------------------) W7 t2 v1 }4 N W
; 绘制两个倒置的并偏移1/2螺距的圆锥
+ b6 a9 x1 y1 P! U; 这两个圆锥都以中剖面剖分
$ [# @4 d$ V% u1 j; 进行并集运算) B; G" |0 \6 i: u1 b+ u: u* f
;-------------------------------------------------------------------
+ u7 X6 X5 b/ E: x9 S' P" q1 u6 u& W* z. G( h
(SETQ startcone "order")8 ]: j [, U9 G8 ` E
(SETQ endcone "Y")
" }# L( }- r7 s" i(command "zoom" "w" (list (car pt1a) (+ (cadr pt1a) (abs threadlength)) (caddr pt1a)) pt3b)- q. h8 N% ]; ~) P! U9 t' p
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(princ "* [& z( m3 ~$ x
正在绘制三维螺纹,请等待")
+ r& E# J' o! l& P+ b! {(command "pline" pttmp1 pttmp5 pttmp6 "c")7 p% ?; r: R4 h
(command "revolve" "l" "" pttmp5 pttmp6 "")
* z9 g2 B1 @! Q, c9 F) z(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp5)9 {4 y5 u8 u4 E! n2 K" z- n8 i
(command "slice" "l" "" pt1a pt3a pt1az pttmp3)
& l4 C* _& p- e/ t9 M1 f7 |0 i, X(setq tstmp (ssadd (entlast)))* P' t6 J8 \& V7 @4 U0 L
(command "pline" pttmp3 pttmp9 pttmp10 "c")
# ^* B' E+ [: n+ e, m1 H(command "revolve" "l" "" pttmp9 pttmp10 "") W; `/ b! A' X0 y
(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp9). U6 X: B8 Q6 ?0 M& K# l z C
(command "slice" "l" "" pt1b pt3b pt1bz pttmp3)5 K% z- e0 j: @; }( c" G- }
(setq tstmp (ssadd (entlast) tstmp))( M3 f7 S( |! N# {
(command "union" tstmp "")
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;-------------------------------------------------------------------
% n! c0 ^! }2 R6 z3 u; 上面的实体被剖切成两份,然后进行镜像以获得螺旋线的螺旋
0 d6 l1 }5 O7 p/ D6 `' L* y* ?( ^; 单线的高度实际上等于两倍螺距,但是超出或者是在内部或者是0 Y- M i# ?5 J6 O3 w, P; y
; 在最后一步被切除
/ B% Y* t4 ?. F;-------------------------------------------------------------------1 z9 c# t( M3 D6 _+ ^% U* _% J
$ z) z" G, f6 K) F! S5 k' x(command "slice" tstmp "" "xy" ptStart "b")
$ N3 p3 h9 ?' N7 c1 [(setq tstmp (ssadd (entlast) tstmp))6 [6 {4 E$ @* {
(command "mirror" "l" "" pttmp1 "@10<0" "y")
% u* o7 y1 m1 f+ E/ x(command "union" tstmp "")/ B( Y% {" G. ]
+ I5 b/ Y% A& J1 X r$ D;-------------------------------------------------------------------
: ~/ H L' c; E, o% I0 d( s; 螺旋进行阵列操作,然后再作并集(可能会耗费一定时间)
5 S0 E# Z" q3 _2 X; 得到的实体再切除到指定的螺旋高度
2 A3 d; q4 t: w) F* k8 B$ R;-------------------------------------------------------------------4 f3 |2 g4 M& R$ B
- [2 W& O. n }
(setq e (entlast))3 ?$ K2 J k" @1 {
(command "array" tstmp "" "r" ttal 1 threadpitch)' k; D% L( x6 Y& W6 n
(repeat (1- ttal)
' N' f0 m6 c1 \$ h(setq e (entnext e)3 e3 V; I) @# \) ?; D' }, Z
tstmp (ssadd e tstmp)
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)
( t' h& q* X* v+ I: t/ p- v9 a! P(command "union" tstmp "")
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; 若开始创建45度的圆锥9 p2 V f! @3 u
(if (/= startcone "order")
1 p+ h7 D# ^* \( `# _" ^; Y+ K p' N(progn (setq e (entlast))
) x& V8 E% x( z+ |- Y" W0 Q y(command "cone" (list (car ptStart) (+ (cadr ptStart) threadpitch) (caddr ptStart)) "d" radmid "a" (list (car ptStart) (+ (+ (cadr ptStart) (/ radmid 2)) threadpitch) (caddr ptStart)))
9 X5 y7 J+ \, S(command "union" "l" e "")
7 `# z( K' c$ ~: X), K! j' R a( n! ^, A! m; b
)
0 a+ q" B8 D {9 U2 Z
0 V: _% T/ Q/ P/ n) v(command "slice" "l" "" "zx" pttmp11 pttmp12)' [! R! R. X8 I% E0 V9 r1 w
(command "slice" "l" "" "zx" pttmp12 pttmp11)
- M% Z/ w7 e* k E8 k* M(command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) threadpitch) (caddr ptStart)))
+ }% F# B+ r- d6 ^) z4 D+ q# E. _3 L% n- a, Q! A+ V- m# \
; 创建最小直径的圆柱体,然后与螺旋作交集# o; Y& c$ P+ L. a4 c+ T$ J
(setq e (entlast))
8 m7 a; S/ f m3 i3 _0 G6 l2 }! b(command "cylinder" ptStart "d" radinner "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))0 R* d! {3 m. V, u
(command "union" "l" e "")
6 \- ?) H& u0 c1 z(setq tstmp (entlast))- W% s% j( r3 {
0 v( t. H% X [4 X; 创建中空的圆柱体
, Q1 P/ a. ^' V(command "cylinder" ptStart "d" radmid "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart))) ; minor dia$ }* W) O& j4 e6 Q% R1 A# V% R$ q
(setq e (entlast))6 @& R; ^% i7 I& ]3 d
5 i' t& a- |" A* t
; 若最后创建45度的圆锥
1 u, [. v" A4 ?# N1 Q Q(if (/= endcone "order")1 n- U% d$ P8 x2 T& ^0 J
(progn (command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) (/ (- radmid radinner) 2)) (caddr ptStart)))
8 C. S- o$ t/ H0 L(command "cone" ptStart "d" radmid "a" (list (car ptStart) (+ (cadr ptStart) (/ radmid 2)) (caddr ptStart))) " x- @* I) v" ~6 h
(command "move" "l" "" ptStart (list (car ptStart) (- (+ (cadr ptStart) (abs threadlength)) (/ (- radmid radinner) 2)) (caddr ptStart))): X, U' g3 l* F! y! A! ^; D
(command "union" "l" e "")
9 R2 v7 b z' V- T, Q" o# r6 q(setq e (entlast))* W3 _- p1 `. F% } a, ?
)
6 J2 e9 k$ f! Q8 Z$ _)$ X: Z$ n( h- ~' I
/ D4 Q' v) a4 H3 Q$ H8 E; 从大圆柱中减去小直径圆柱( Y* T8 K: b* C b+ X
(command "cylinder" ptStart "d" (* radmid 1.5) "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))4 D, Q- Y) h, g: k) [* u
(command "subtract" "l" "" e "")
3 a# J. F: m* m1 I- S# u# `(setq e (entlast))% D/ ^3 T, G3 O/ `9 {: s9 [
" ]0 ?$ ^- h2 @: n. V* @: l) h
; 从螺旋中减去圆柱 L# l$ }- R% C
(command "subtract" tstmp "" e "")7 k* a! _3 c$ a' U
$ h. Q* i) U) F+ N1 X/ [9 Z; 如果螺旋长度为负然后镜像0 d4 H6 O- g) F
(setq e (entlast)), T/ z) y3 Y, o% @4 U9 v1 H6 s: p
(if (< threadlength 0) (mirror3d e "zx" ptStart "y"))
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(command "zoom" "p")- M/ p& _7 m+ e+ m5 g
; (command "undo" "end") ; 结束undo步骤
0 |# g2 \/ ]) O4 S)* L7 _$ @# c e
# F* n% |8 K% @, C# `; u$ h6 i/ [- c
;;;---------------------------------------------------------------------------------------------------------------------;
% ?2 z& I/ `: q X( t/ l* B; B(arxload "geom3d" nil)
/ j7 ~7 ~9 O, l# b9 T: e+ s8 b7 ^6 H: e(princ "0 M- ~) S! p2 i& N) c2 I2 V. y3 ]* U
3DThread 已加载。 ")
* L" O' g3 s4 Y7 ^4 A, O/ r(princ); M: I) J( i- c& y' I5 ~
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三、弹簧源程序 |