齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开
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9 G$ A7 ^ |$ h. m4 Y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$y)P4[-Q8 Y. y3 \# U/ v' T5 ]
一、齿轮轮齿渐开渐开线
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代码:
* Y a0 S: i# ] P m: C(defun c:gear(/)
& ~( ?, a2 \. ^$ ^(* s1 X( s* \" s! w
setq
+ | U2 ]4 }1 }8 K8 i( N3 Xp0 (getpoint"输入齿轮中心p0: ")
6 l( L/ ]( k) m6 U( s, f8 [" ]m (getreal"输入齿轮模数M: ")3 [8 f: z; k0 W" {) a& _
z (getint"输入齿轮齿数Z: ")/ b9 N0 D7 B, u6 c: L
ha 1! ?) \' s t2 ?) P* e
c 0.25
: f% L% G" r: O1 a0 _8 j! S& Q& ta (/ pi 9)
+ r8 N1 m0 ~' P4 ^# Gra(/ (* (+ z (+ ha ha)) m) 2)
" m/ [( _0 H u) ~) ]1 p! mrf(/ (* (- z (+ (+ ha ha) c)) m) 2)! M" D$ ?+ I( n7 r* ~6 j
r(/ ( * m z) 2)3 g+ |5 J" H! N1 p) {$ T% `' d$ g
rb ( * r (cos a))
+ y- K8 z& V* s( I. Sri rb$ E) p# @2 d% Y. Q- [; p
ang 0
: b! k: o8 s0 n: b% r2 V r+ E7 Ig (polar p0 ang rb)6 h" I( C" H& O- q% o6 _
)
# J X1 P7 A& L: B) _6 ~(command "circle" p0 ra)
) X/ [; g k: }% ?9 C! D(command "circle" p0 rf)
u' R6 E2 n; n! J& Y4 s! Q(command "circle" p0 r)* e) b- S# y& X% A4 h: P5 X
(command "line" g)
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4 S7 u/ r0 ~& h' p* q/ u(while (< ri ra)% q9 ^( f2 R/ v7 ~
(setq5 R$ p8 C) F9 a" z% w
ang ( + ang(/ pi 360))
, \0 |% } t6 _( { H9 H6 K% jri ( / rb (cos ang))
, T$ T) K8 z* `cta ( - (/ (sin ang) (cos ang)) ang)8 m' m; A$ P0 \9 e2 m- @2 f
g(polar p0 cta ri)
* o# _* A7 k% P# g+ Z6 C( t! P)! q8 q N( m7 j3 x6 n' y- F4 {, Y/ U
, Y4 X% k( Y$ L( I(command g)5 B% L9 }1 z; J
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(command )
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! G# m% Z$ Z0 q/ `6 b二、螺旋源程序
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0 h# k7 `& f* C6 v+ m. l代码:
* u. N- q9 R9 t/ ~8 k4 b(defun errMsg (s)
) ~, v* k, p" T4 d(if (/= s "function cancelled") (princ (strcat "+ O$ `4 n/ O% a1 b; F# Z$ x. N
Error: " s)))
h0 I2 k2 A* _1 ^' _! a+ Y6 F$ X; 当命令执行时出现错误
6 l! F) T( f0 H- G, ^0 u8 c(setvar "cmdecho" ocmdold) ; 例如用户按下了CTRL + C
! F9 w, q2 r$ b$ \4 Y# p(setvar "osmode" osmold), _1 H( m2 s! @ d8 d% \* W
(setq *error* olderr) ; 恢复旧的错误处理
+ s3 u5 \ K; Z+ {0 a(princ)
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! m3 T& E' @$ \& e(defun c:3Dthread (/ radouter threadpitch threadlength threadangle # y) @! V% l, M; S/ l* @$ o0 A& z
ptStart innerdiafactor radmid radinner ocmdold osmold 4H 5H 6H h6 g6)
8 G0 i, T. C) k7 J2 V;-------------------------------------------------------------------1 E! s3 d) ]. t: ]" D4 {* B4 N
; 获取公制外径大小、螺距总长
" m0 p6 V) ?# U) e2 ?& @; 然后计算一系列几何点
6 g8 [2 A* h+ I2 d3 s4 P; 并且关闭对象捕捉、命令回显
/ @0 w$ G9 E' }$ k;-------------------------------------------------------------------2 C c: r1 a2 Z; x1 Z. R @
(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))
+ Y4 Y: H! I4 p2 |( g(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))
2 U( C0 n8 s! O4 V; B% I(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)) $ L$ n8 H) k' a# U' {0 h" ^
(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)) 4 h# A4 Q$ r# K: j0 f, S
(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))
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(setq osmold (getvar "osmode")) ; 保存调用前的osmode系统变量值
. d7 O# B; O8 d% D6 \8 n(setq ocmdold (getvar "cmdecho")) ; 保存调用前的cmdecho系统变量值5 |) {3 q) h3 g9 ?3 P1 A! S
(setvar "osmode" 0) ; 关闭对象捕捉 ; N3 y1 z6 t4 F. `( w8 A' i
(setvar "cmdecho" 0) ; 关闭命令的回显) X5 ^0 r( `' F* l, y- |1 y
+ Y' r+ [5 d9 Y5 \6 L# D* Y2 M(setq innerdiafactor 1.5) ; 设置内径系数
A+ }. e0 _/ O% Q% W% S2 {; D(initget 7) ; radmid 必须非零、非空、非负6 j/ B6 j6 ]4 ?% U8 C' o: l
(setq radmid (getdist "
3 T! M( D0 W' t- {公制外径: "))2 j6 w2 a; ?* N" \
(initget 7) ; threadpitch 必须非零、非空、非负3 ?0 X: i* |# v1 c0 i& w% f! l
(setq threadpitch (getreal "+ G' ]( {4 C- f, B, t
螺距: "))2 U# ^3 T( \' o
(initget 1) ; ptStart 必须非空
% V) [1 }0 V/ [5 @4 [ v2 M% @(setq ptStart (getpoint "
9 n/ u& J, A0 m# s+ c起始点: "))
4 O P" @! c6 X- t. o/ B(initget 3) ; threadlength 必须非零、非空、非负
* U8 I& o# x4 G/ u/ p(setq threadlength (getdist "5 I* V0 W2 _: D7 H6 U
螺纹总长(Y方向): "))
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; 对公制外径添加公差' Q7 l& t6 u7 O$ ]
(if (<= radmid 3) (setq order 0) ; 根据公制外径确定公差带中位置2 l+ |: l2 n/ p; ?5 M! {- G
(if (<= radmid 6) (setq order 1)0 ^8 Y) Q: w" [
(if (<= radmid 10) (setq order 2)
6 z, d$ v P i" A) c1 I! B(if (<= radmid 18) (setq order 3)
. i" @# G: T5 U' r(if (<= radmid 30) (setq order 4)1 f" J6 o V' q9 p
(if (<= radmid 50) (setq order 5)
) I$ Z3 {1 }& A+ P) H(if (<= radmid 80) (setq order 6)
" y3 H; \ h" G$ w5 T3 b5 W/ u @. N/ B(if (<= radmid 120) (setq order 7)
( K/ f) i; U9 c2 r% {- [" a(if (<= radmid 180) (setq order 8)
2 w% n/ O, c2 ]% q(if (<= radmid 250) (setq order 9)
" {# e* Q8 ]7 H4 c" ~7 N(if (<= radmid 315) (setq order 10)/ ]% _; r. p- p8 t' k( c2 v
(if (<= radmid 400) (setq order 11)
) g. D( I3 r/ H& A- E(if (<= radmid 500) (setq order 12)
2 _6 r+ }: p* X: n)))))))))))))
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! L- W5 u2 w& O" Y(if (< threadpitch 0.25) (setq radmid (+ radmid (nth order 4H))) ; 根据螺距确定公差带* }4 S# |* |4 Z% w# c/ r' I2 N' I
(if (< threadpitch 0.35) (setq radmid (+ radmid (nth order 5H)))! B0 m2 a0 s( Y9 r: }) M9 _6 _
(if (>= threadpitch 0.35) (setq radmid (+ radmid (nth order 6H)))
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8 k1 U2 s# j- c! U/ d8 K+ j(setq h (* 0.866025 threadpitch)) ; 计算齿高
' j8 {$ e4 T' L, ?8 E0 _(setq radouter (+ radmid (/ h 4))) ; 计算外径5 x3 U1 v: A5 }
(setq radinner (- radouter (* h innerdiafactor))) ; 计算内径0 M- o7 K% @1 n8 _! U
(setq threadangle (+ 30 0)) ; 计算齿顶角
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8 n) E$ U: h) j, Z1 ^(auxithread radouter radmid radinner threadpitch threadlength threadangle ptStart) ; 调用绘制三维螺纹的子函数
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( t X; o( h" H" X% s( o(princ "/ f( J0 Q( j: j4 N5 R
三维螺纹创建完成")- P N! Q |/ {% {% `, a( a
(setvar "osmode" osmold) ; 恢复调用前的osmode系统变量值5 J. p4 d. v E9 g _
(setvar "cmdecho" ocmdold) ; 恢复调用前的cmdecho系统变量值
2 u4 x4 p" R2 F( P; t4 v1 W* F(princ)
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; [, U) O) r+ p/ }1 K& B* r(defun auxithread (radouter radmid radinner threadpitch threadlength threadangle ptStart / ttal pt1z ang pt1a
: O# d! M* |* r$ V# Lpt1az pt3a pt1b pt1bz pt3b pttmp1 pttmp2 pttmp3 pttmp4 pttmp5 pttmp6 pttmp7 pttmp8 pttmp9 pttmp10 pttmp11 pttmp12 tstmp startcone endcone)( D, ?/ G3 }% H
- L" C( B0 K: @;(command "undo" "begin") ; 开始undo步骤( @' A2 M+ X q# ~/ J" o/ T0 l
- n& d- e! {2 x2 q T- P. I# `(setq ttal (+ (fix (/ (abs threadlength) threadpitch)) 3)
% U0 Z. o* Y, ?pttmp1 (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (caddr ptStart))2 M; O6 U4 V! u& V& y; P
pt1z (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (+ (caddr pttmp1) 1.0))
. I: a2 p3 ~, |$ S* i; opttmp2 (polar pttmp1 (/ (* threadangle pi) 180.0) 1)
* W$ ^7 Q1 k, l6 K. zpttmp3 (list (+ (car pttmp1) radouter) (+ (cadr pttmp1) (/ threadpitch 2.0)) (caddr ptStart))* J* M/ v1 j5 L
ang (angle pttmp1 pttmp3)1 ]8 K, e K6 H$ y0 y
pt1a (polar pttmp1 (+ ang (/ pi 2.0)) threadpitch)
3 C0 W. j6 z% i( A: w3 Ipt1az (list (car pt1a) (cadr pt1a) (+ (caddr pt1a) 1.0))
4 e/ d% Y7 j, ppt3a (polar pt1a ang radouter)
4 f$ G+ [: _! y& c3 fpt1b (polar pttmp1 (- ang (/ pi 2.0)) threadpitch)7 @+ I; ]6 l5 x1 |: ]4 i
pt1bz (list (car pt1b) (cadr pt1b) (+ (caddr pt1b) 1.0))
/ y) W" I$ G, [0 r. E1 Kpt3b (polar pt1b ang radouter)
) J' M. U6 G0 Y" H# npttmp4 (polar pttmp3 (/ (* (- 180 threadangle) pi) 180.0) 1) V9 |: f( x3 n( \5 u5 n# N
pttmp5 (inters pttmp1 pttmp2 pttmp3 pttmp4 nil)" ]- l) Y9 C4 V: ]( o
pttmp6 (list (car pttmp5) (cadr ptStart) (caddr ptStart))
7 q! J% f6 r) {1 @8 lpttmp7 (polar pttmp1 (/ (* (- 360 threadangle) pi) 180.0) 1)- u, [& v. i/ @( X" ?: K4 f* T' K; v
pttmp8 (polar pttmp3 (/ (* (+ 180 threadangle) pi) 180.0) 1)
; ^0 L: S, x2 U/ y# c' |" A. fpttmp9 (inters pttmp1 pttmp7 pttmp3 pttmp8 nil)$ [" {! P0 n; t& }3 q+ I$ g
pttmp10 (list (car pttmp9) (cadr pttmp3) (caddr pttmp3))% @# C M* U5 C6 p$ [5 V# l- k
pttmp11 (polar ptStart (/ pi 2.0) threadpitch)+ }5 P t [: l
pttmp12 (polar pttmp11 (/ pi 2.0) (abs threadlength))1 y x! F+ T, E4 o/ p( o
)
! I% h- R* w" Y- ?! l
! i% W0 ^4 G6 u. t& p;-------------------------------------------------------------------3 x" x$ B7 R% _; V2 F8 [
; 绘制两个倒置的并偏移1/2螺距的圆锥6 ~9 g! w* j2 p" H% e
; 这两个圆锥都以中剖面剖分$ X- i0 O7 U! L5 G4 {+ F2 T
; 进行并集运算
$ o# x: l$ X0 Q;-------------------------------------------------------------------
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1 f: d. A+ \8 j0 g+ {, N(SETQ startcone "order")
; a( ]. Q6 r) z* W5 ~(SETQ endcone "Y")
" a8 O, ~5 W: A(command "zoom" "w" (list (car pt1a) (+ (cadr pt1a) (abs threadlength)) (caddr pt1a)) pt3b)
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(princ "7 n6 n7 Q, {4 |: B( S0 A
正在绘制三维螺纹,请等待")
+ s& L" p H) D/ B6 E3 Y2 l! I(command "pline" pttmp1 pttmp5 pttmp6 "c")9 w) ` p) o4 E$ `# y
(command "revolve" "l" "" pttmp5 pttmp6 "")3 b* ^' K* |9 C* _7 _
(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp5)+ g8 {, P v; }7 W" g
(command "slice" "l" "" pt1a pt3a pt1az pttmp3)2 G9 a* F8 @' C3 x* a2 V/ j1 i* |+ Y
(setq tstmp (ssadd (entlast)))
$ F& U4 B- C+ P+ h(command "pline" pttmp3 pttmp9 pttmp10 "c")
$ U$ t+ u& d8 Z" f1 T0 {9 Z3 s(command "revolve" "l" "" pttmp9 pttmp10 "")
, k0 f2 J( B2 E% ^1 c% o4 i5 {+ q(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp9)
$ |1 r" T: J/ i(command "slice" "l" "" pt1b pt3b pt1bz pttmp3)! u) k. b( e5 T' U
(setq tstmp (ssadd (entlast) tstmp)), k* }8 ?/ M, D! ~
(command "union" tstmp "") ^3 u9 R- ~, ^1 ~) ^2 C! B
3 y5 }8 p* `9 c0 S- [;-------------------------------------------------------------------& g# E* N! B! G7 k) u7 P
; 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
% b3 @4 R1 F9 b: I% ]7 g) A; 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
- h( |+ K; a; d; 在最后一步被切除# {7 V; G# R, s+ M5 M
;-------------------------------------------------------------------
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(command "slice" tstmp "" "xy" ptStart "b")
4 B8 K5 G9 k4 \$ ^! v$ P(setq tstmp (ssadd (entlast) tstmp))( D+ g) V/ a" x5 @6 w0 ?9 n
(command "mirror" "l" "" pttmp1 "@10<0" "y")
& Q! B! i/ F! m4 _ Y(command "union" tstmp "")
m# A3 Z1 d9 N9 E
- J: }% U- r5 c' V' e8 y( ]3 v;-------------------------------------------------------------------
# y% c W& w' ~; 螺旋进行阵列操作,然后再作并集(可能会耗费一定时间)! `/ D0 d Z6 S& _+ a5 D- B. w, K
; 得到的实体再切除到指定的螺旋高度1 ]+ `2 B" g! O% `+ ^5 a- H
;-------------------------------------------------------------------
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(setq e (entlast))
9 q" |9 p- F' \& W(command "array" tstmp "" "r" ttal 1 threadpitch)4 ~9 ?1 f3 ^8 H3 A4 k
(repeat (1- ttal): e6 B- ?# l) d" g5 A
(setq e (entnext e), A3 F& J0 w, W2 c4 x$ D9 e
tstmp (ssadd e tstmp)3 p. _0 l# [2 n8 M4 v$ E- i; g% @
)
/ O+ H9 \) d3 f* k! Y)
3 n8 I$ M2 o( {(command "union" tstmp ""): m. D0 P" N/ d0 Q* D( n2 [
1 j8 N* d" m3 n; M8 [. N! J; 若开始创建45度的圆锥8 O" y6 ?# I& J$ g! ^4 Y
(if (/= startcone "order")$ ^) F: W9 s+ q' O
(progn (setq e (entlast))
- U- y0 S6 w: E- E/ c( v2 b(command "cone" (list (car ptStart) (+ (cadr ptStart) threadpitch) (caddr ptStart)) "d" radmid "a" (list (car ptStart) (+ (+ (cadr ptStart) (/ radmid 2)) threadpitch) (caddr ptStart)))
3 q# O/ m; k6 h- Q. i$ N& d5 a! o(command "union" "l" e "")
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+ i) p O. _# q! |6 }- W)# F" A. s, r& U9 s9 ^
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(command "slice" "l" "" "zx" pttmp11 pttmp12)
6 w; q2 s3 |% x+ E% R* W(command "slice" "l" "" "zx" pttmp12 pttmp11)
" j9 E8 O3 C: x: ?- ^+ P(command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) threadpitch) (caddr ptStart))) 7 x& i+ r9 ^+ [" q+ e1 ^2 `2 @; K
0 w' Q% G7 E( U* q; 创建最小直径的圆柱体,然后与螺旋作交集. H {& D3 T2 H. _' h
(setq e (entlast)), t8 N8 J8 y7 A/ m# A$ Z* Q1 s! z
(command "cylinder" ptStart "d" radinner "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))! ^2 O8 B, k. O# q1 B4 E% l
(command "union" "l" e "")& Y# H* o3 n: ~2 N) p
(setq tstmp (entlast))
; q$ u9 G/ b a) l/ g& W7 k
" Q& z/ Z" c1 t9 |9 y; 创建中空的圆柱体
! o. j$ G8 p( T4 x" K/ \+ D(command "cylinder" ptStart "d" radmid "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart))) ; minor dia
) h# C* Y: a7 e5 u3 }: b(setq e (entlast))
5 u2 j# M5 K) X
3 F/ l& c, ~5 }: q; c6 s% v; W; 若最后创建45度的圆锥! j n# S# e7 w
(if (/= endcone "order")( q9 M6 ^+ o3 {' r! E2 T
(progn (command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) (/ (- radmid radinner) 2)) (caddr ptStart))) 7 Z- p- C2 O, S$ ]: ?0 \8 Y) n
(command "cone" ptStart "d" radmid "a" (list (car ptStart) (+ (cadr ptStart) (/ radmid 2)) (caddr ptStart)))
% F; b5 k$ C J S2 f# w(command "move" "l" "" ptStart (list (car ptStart) (- (+ (cadr ptStart) (abs threadlength)) (/ (- radmid radinner) 2)) (caddr ptStart)))
5 V3 c& p! ~" i; S# h* Q(command "union" "l" e "")
$ `1 h8 y1 T- x+ v4 Y; w(setq e (entlast))3 E4 t- S- i% g
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)
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; 从大圆柱中减去小直径圆柱# `2 G6 O7 d& ?- \! G9 _
(command "cylinder" ptStart "d" (* radmid 1.5) "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))
5 z3 f5 w% m5 y; b+ z, D! w0 t8 S: X3 {(command "subtract" "l" "" e "")
( S1 I3 v, ^2 d7 o' q y' m% L' {(setq e (entlast))
+ K' T. c j# I: `7 _( ]7 t$ ?7 n1 ]; O
; 从螺旋中减去圆柱
L* C1 H* @6 `5 j(command "subtract" tstmp "" e "")
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: n: T3 l0 o# f, F8 m/ C; 如果螺旋长度为负然后镜像
4 B+ r0 L; w2 V; F) N0 A1 W2 f(setq e (entlast))
/ T) _0 k# M/ }$ W4 u! |' |(if (< threadlength 0) (mirror3d e "zx" ptStart "y"))
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. E6 i$ V n! u( x$ v; B# z(command "zoom" "p")% B" H: E5 G L5 |) J, T
; (command "undo" "end") ; 结束undo步骤
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;;;---------------------------------------------------------------------------------------------------------------------;
' k4 b8 o2 Y) o/ F3 o(arxload "geom3d" nil) |; @. t- M9 {; a
(princ "
* X1 i& n/ d6 s# g% H3DThread 已加载。 ")
?+ o5 i8 C7 w) j5 Y( U(princ)0 [5 ]2 [+ B$ [& d
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( k, H% B9 M1 Q三、弹簧源程序 |