齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开; l1 p2 }$ Q C6 f( d, }
1 L6 [9 C8 w8 S) x7 @) O: d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$y)P4[-Q# v% P$ h F% I, L# P
一、齿轮轮齿渐开渐开线0 i0 V* F. P6 D6 y# G4 ^6 u, c0 L3 \7 R
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[复制到剪切板] [ - ]
2 D2 {) L% l% B0 ^! J; t代码:
% T& u; m) U: ~5 J(defun c:gear(/)* x5 o, N1 E- G2 x+ k
(& s" ~9 t+ j l- ~6 d
setq
9 e$ p( H" c! v% R: K8 Q7 \p0 (getpoint"输入齿轮中心p0: ")3 _9 u) \' t; z; \- Q
m (getreal"输入齿轮模数M: ")
; j, u& E$ W$ l5 [( R/ n7 P0 p/ |z (getint"输入齿轮齿数Z: ")
/ N# d! c- i% @) ~( q0 bha 1
3 b, T/ y. l, T; l- [1 Lc 0.25' a% |, B, S3 }4 J! U
a (/ pi 9)
! T/ K( p/ p) V. D7 H( U4 a5 u Zra(/ (* (+ z (+ ha ha)) m) 2)
0 ^; G2 b, r g0 Zrf(/ (* (- z (+ (+ ha ha) c)) m) 2)
: A7 R @/ L% Q, Ir(/ ( * m z) 2)% B5 z# }( y/ S$ x" H7 C3 ]
rb ( * r (cos a))) p4 Q2 |8 }/ Q# K# S4 z/ I
ri rb
4 x, t! [( [- M( Eang 0* N$ G9 j8 d" {* O
g (polar p0 ang rb)
, d1 X2 h' s! n! C" Q- ?)) T$ y9 c6 c3 r1 F9 V D( E0 r
(command "circle" p0 ra)
% b* ?9 A; L' k5 D) ?8 E(command "circle" p0 rf)
" K0 Q$ S- g( l* h1 I(command "circle" p0 r)
* ~2 \8 l6 N% q* I K) e(command "line" g)
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(while (< ri ra)* B/ g) l6 p/ D5 J
(setq; a) z4 e/ y3 i( o3 s; A
ang ( + ang(/ pi 360))" x' m t* z+ |
ri ( / rb (cos ang))
: E/ Z. F6 \, Z; n9 B2 Scta ( - (/ (sin ang) (cos ang)) ang)
6 r. \, F) Q/ h; T6 Y. B0 ~% T) yg(polar p0 cta ri)
0 s( S& M" G- k$ \5 Q; X& R)
) N$ }6 Y1 B4 l$ E! n# T/ M+ F/ l6 m) {4 C5 Z
(command g)
( ~6 C" u6 [5 g8 a3 U)
) p. U& S% t9 _7 }/ a) T# e(command )
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二、螺旋源程序1 h7 x. o" J& G( X3 i: e
7 o- E6 C6 E$ O[复制到剪切板] [ - ]2 n4 \& H2 s+ i- o. I# e
代码:5 `, H K9 O- Q
(defun errMsg (s)4 ?0 V6 T3 V t3 d* v
(if (/= s "function cancelled") (princ (strcat "
4 e1 C# D4 r. A' d# k/ _Error: " s)))
# o& R% T1 J! z F- S3 N( z; 当命令执行时出现错误" t. W$ ~1 d0 _, N2 o" j
(setvar "cmdecho" ocmdold) ; 例如用户按下了CTRL + C
( [3 q. g# s# P) M+ {(setvar "osmode" osmold)
# @) D, M9 ~, W" E8 \. }(setq *error* olderr) ; 恢复旧的错误处理1 z$ |& `% p5 {4 ? L
(princ)
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$ i+ z" K! F7 _(defun c:3Dthread (/ radouter threadpitch threadlength threadangle 2 ]5 z, D' \: ~$ z7 E! ?
ptStart innerdiafactor radmid radinner ocmdold osmold 4H 5H 6H h6 g6)# f+ p( U) n+ Q( W$ G4 E( S# D8 g
;-------------------------------------------------------------------
( R6 ?/ W! |- A6 q) t; 获取公制外径大小、螺距总长
* j) T6 K4 J4 K; 然后计算一系列几何点4 g% x4 g- y+ l/ P) C0 Q
; 并且关闭对象捕捉、命令回显3 }9 A0 M( F1 o* k" ]. }
;-------------------------------------------------------------------
" ?9 ]" J/ r2 M9 Y' i1 p(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)) * \) ^1 E9 z& o: J
(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))
g, `$ [! m7 _3 o" {4 T(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)) + [! z% E/ M' M8 @: |
(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)) 3 o" n+ { \. X* j( t
(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)) . u. l# j, I1 H8 I' `3 u- z/ _) r
; }( e- `5 h% p1 G' ?3 e
(setq osmold (getvar "osmode")) ; 保存调用前的osmode系统变量值
& P& g3 p: P8 W5 [(setq ocmdold (getvar "cmdecho")) ; 保存调用前的cmdecho系统变量值
% A' n; d; j9 E( O6 {5 X(setvar "osmode" 0) ; 关闭对象捕捉
. [9 N& N0 Z0 }0 ?6 d(setvar "cmdecho" 0) ; 关闭命令的回显" z7 H3 |4 s# Z5 c1 |- m7 X+ p$ M
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(setq innerdiafactor 1.5) ; 设置内径系数
- }$ @/ ?' Q* K6 H; i. `$ ]% G0 S(initget 7) ; radmid 必须非零、非空、非负9 Y& n" c D( `
(setq radmid (getdist "7 i- m' O5 l: |4 o% l) N
公制外径: "))
; _' A' }- b& s* b6 D(initget 7) ; threadpitch 必须非零、非空、非负" j: l; j; U% L# h0 m4 ?: p
(setq threadpitch (getreal "
) m6 _$ v j' ~5 {: q: G) b. v螺距: "))" X. z9 z9 {5 s) N1 G) k* P9 E* o9 _
(initget 1) ; ptStart 必须非空
# W6 q4 t, M" {, E7 @6 n/ H2 h(setq ptStart (getpoint "% t4 I J [" g: {3 ?3 C& W, O
起始点: "))0 F+ @/ D: J( E8 z T
(initget 3) ; threadlength 必须非零、非空、非负
( Y% l Q; q. Z' E+ K(setq threadlength (getdist "" G% _2 h' l) g
螺纹总长(Y方向): "))) c0 b4 {) f2 q& l/ @- c
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; 对公制外径添加公差
( I) A9 p7 K( v% p; `3 l1 R) {3 k3 s(if (<= radmid 3) (setq order 0) ; 根据公制外径确定公差带中位置
8 U9 Y" x- b+ q2 I$ R(if (<= radmid 6) (setq order 1)
% t& u2 e( q2 L* f! O3 c(if (<= radmid 10) (setq order 2)
6 q3 {3 U& E# M# y(if (<= radmid 18) (setq order 3)
: W9 |1 h3 e- G/ J4 H* E1 t/ ?(if (<= radmid 30) (setq order 4)2 Z$ x: z* k0 W) K$ i( z; Q$ y% f
(if (<= radmid 50) (setq order 5)
) @5 q. o/ t- O v# @(if (<= radmid 80) (setq order 6)
4 ^. E2 K# }7 |; F2 Y" L/ R% N. h(if (<= radmid 120) (setq order 7)
; X, h q5 x, R) N1 ], j* ^* N# ^(if (<= radmid 180) (setq order 8)
1 |7 m5 |& U* d/ Y(if (<= radmid 250) (setq order 9)
4 V( T# [$ d& e: G1 @5 V5 o(if (<= radmid 315) (setq order 10)
# {8 h7 o9 {) D; T5 p(if (<= radmid 400) (setq order 11)
u0 K+ _( I* s- W% T(if (<= radmid 500) (setq order 12)) D# `$ ^- j9 S& \8 ^) ]
)))))))))))))& D# v- a8 d) E
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(if (< threadpitch 0.25) (setq radmid (+ radmid (nth order 4H))) ; 根据螺距确定公差带2 p) l5 m8 y0 G9 H- H
(if (< threadpitch 0.35) (setq radmid (+ radmid (nth order 5H)))
+ _; {. M7 d! {, h1 ](if (>= threadpitch 0.35) (setq radmid (+ radmid (nth order 6H)))3 F, ^; H* X' c: [
)))* z# h! B! l' ?& W9 F3 m( O5 X
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(setq h (* 0.866025 threadpitch)) ; 计算齿高1 Y9 n8 N9 r3 e/ c: d: E( w
(setq radouter (+ radmid (/ h 4))) ; 计算外径: ~- @. b. {- y8 z. @# `
(setq radinner (- radouter (* h innerdiafactor))) ; 计算内径2 ?' M0 u* V% x6 Q% i
(setq threadangle (+ 30 0)) ; 计算齿顶角
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( G1 Z' H% X$ S. C, T# ^) o(auxithread radouter radmid radinner threadpitch threadlength threadangle ptStart) ; 调用绘制三维螺纹的子函数$ j$ }7 q: S: W; r6 x0 m
; k; a/ f: u7 n$ [; c(princ "5 B/ p* K" m% O0 E
三维螺纹创建完成")1 Q( ^) f3 o) y' b( {" |
(setvar "osmode" osmold) ; 恢复调用前的osmode系统变量值
. G0 G! l" \. F0 }& G0 s(setvar "cmdecho" ocmdold) ; 恢复调用前的cmdecho系统变量值
& \# x4 v* I! f' p(princ)
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0 B3 a- S4 G" t6 w, I2 C- W(defun auxithread (radouter radmid radinner threadpitch threadlength threadangle ptStart / ttal pt1z ang pt1a7 G8 Z& s& i7 P' S' a
pt1az pt3a pt1b pt1bz pt3b pttmp1 pttmp2 pttmp3 pttmp4 pttmp5 pttmp6 pttmp7 pttmp8 pttmp9 pttmp10 pttmp11 pttmp12 tstmp startcone endcone)
# j% S! i" y$ a$ S8 F: d m- J: r- r y5 a# N- n5 G* T& l
;(command "undo" "begin") ; 开始undo步骤; g& c3 w- @; S# t3 V
/ G+ A8 Z9 m, o(setq ttal (+ (fix (/ (abs threadlength) threadpitch)) 3)6 j$ }% B9 I* d
pttmp1 (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (caddr ptStart))( C3 d& Z* N1 e; h& `
pt1z (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (+ (caddr pttmp1) 1.0))/ Z) r6 |: c! f! M. m! {
pttmp2 (polar pttmp1 (/ (* threadangle pi) 180.0) 1)+ m" H3 U* a8 B, N: W
pttmp3 (list (+ (car pttmp1) radouter) (+ (cadr pttmp1) (/ threadpitch 2.0)) (caddr ptStart))! t8 o X2 w" x+ n; J8 q
ang (angle pttmp1 pttmp3)
5 y8 l/ h1 J$ i7 G' Mpt1a (polar pttmp1 (+ ang (/ pi 2.0)) threadpitch)
* \9 x/ ^( w0 @# [6 y2 ^$ ]0 vpt1az (list (car pt1a) (cadr pt1a) (+ (caddr pt1a) 1.0))( Y% u5 o! s! N" h
pt3a (polar pt1a ang radouter)3 U+ I0 n! u9 e L4 \6 E
pt1b (polar pttmp1 (- ang (/ pi 2.0)) threadpitch)
7 A) ^+ Z+ h; |. b5 K8 U0 Ypt1bz (list (car pt1b) (cadr pt1b) (+ (caddr pt1b) 1.0))3 ]7 R3 k: o$ u7 E$ p( s K1 Y
pt3b (polar pt1b ang radouter)! f* @6 p: X v7 Y
pttmp4 (polar pttmp3 (/ (* (- 180 threadangle) pi) 180.0) 1)
, k8 G- p- B. J8 q* i# N1 S% L. m4 L; Xpttmp5 (inters pttmp1 pttmp2 pttmp3 pttmp4 nil)2 U& K7 }. h) J: P/ N, @" y6 R
pttmp6 (list (car pttmp5) (cadr ptStart) (caddr ptStart))
2 {# ?3 z; Z: O8 lpttmp7 (polar pttmp1 (/ (* (- 360 threadangle) pi) 180.0) 1)
8 H0 b2 O2 o$ t) x3 jpttmp8 (polar pttmp3 (/ (* (+ 180 threadangle) pi) 180.0) 1)- g5 I Z4 r% _" m1 v7 C \& g/ d
pttmp9 (inters pttmp1 pttmp7 pttmp3 pttmp8 nil) A* i. d" R! h0 S; S. Z( \
pttmp10 (list (car pttmp9) (cadr pttmp3) (caddr pttmp3))8 j9 U3 D3 e" f3 X, v
pttmp11 (polar ptStart (/ pi 2.0) threadpitch)2 j8 N% M6 {! N( k1 G E, ]
pttmp12 (polar pttmp11 (/ pi 2.0) (abs threadlength))5 _' T) H9 p5 b5 v
)/ D& o' y, y _; G5 g$ I
8 S& t4 `; F3 a, [- c;-------------------------------------------------------------------# \( o( j9 k9 b+ P6 z
; 绘制两个倒置的并偏移1/2螺距的圆锥, z: @& {4 \" o0 I& n4 P \* k
; 这两个圆锥都以中剖面剖分; H5 g- J4 `7 B& F L3 Y# g$ `& E. g
; 进行并集运算
* x; H$ ^" B5 l;-------------------------------------------------------------------* [7 ?+ a) [9 h) |: \
& g! e! h7 q: e* H) l: ^(SETQ startcone "order")
: W3 s. y1 {" z8 z(SETQ endcone "Y")
1 N6 K. H3 v8 N(command "zoom" "w" (list (car pt1a) (+ (cadr pt1a) (abs threadlength)) (caddr pt1a)) pt3b)2 } l, j8 `' j( J' H+ n* u9 s0 P
# U) l3 U2 R3 c0 r [(princ "
# @ T5 u/ v& f1 g, c: P% ^正在绘制三维螺纹,请等待")& ~! ^ k9 E* U7 h# ?
(command "pline" pttmp1 pttmp5 pttmp6 "c")
" ~5 `8 b5 r5 l5 M% P(command "revolve" "l" "" pttmp5 pttmp6 "")
/ h) u! y& S6 L Q3 L) M4 Z(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp5)8 @1 c+ @& w, i! H4 P
(command "slice" "l" "" pt1a pt3a pt1az pttmp3)) c' W7 l! f8 c, _
(setq tstmp (ssadd (entlast)))
3 @6 Z2 |" _4 W% Q) E. C# _; {- P: y3 w(command "pline" pttmp3 pttmp9 pttmp10 "c")
: n5 H$ m+ e5 P(command "revolve" "l" "" pttmp9 pttmp10 "")& c" w$ Y$ |0 b9 N$ D% w
(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp9)
' Z0 ?: R0 p% n0 b(command "slice" "l" "" pt1b pt3b pt1bz pttmp3)
0 I$ K$ F6 U5 i1 ^1 ?/ n) q(setq tstmp (ssadd (entlast) tstmp))
0 m8 T6 k |9 L* n! N8 I, O(command "union" tstmp "")
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+ {; X6 `8 F' X$ S! M;------------------------------------------------------------------- A6 e+ Y4 \" w* C# q3 ]
; 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
' S, i! f( ^) x! `# _: 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& E/ h, j0 q' C' f- |+ ^8 S
; 在最后一步被切除" w; x6 O% W4 q% {# D) D d
;-------------------------------------------------------------------
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(command "slice" tstmp "" "xy" ptStart "b")- a+ h1 }, j- h/ x6 X
(setq tstmp (ssadd (entlast) tstmp))
* |9 c4 H8 E: C) r* ^(command "mirror" "l" "" pttmp1 "@10<0" "y")" l0 E" B& s6 v% Q I/ W, C/ t
(command "union" tstmp "")
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;-------------------------------------------------------------------' J' G! Q ` y) p
; 螺旋进行阵列操作,然后再作并集(可能会耗费一定时间)
- s3 U- s: e% S: f* K* ?; 得到的实体再切除到指定的螺旋高度
) o* X# q3 R1 `! R;-------------------------------------------------------------------1 d1 m$ l0 [! f3 { ]) p
$ Z5 F. y. x. \% U m& {6 C
(setq e (entlast))+ I% A5 E- o n% K7 X2 k
(command "array" tstmp "" "r" ttal 1 threadpitch)7 w/ B4 C# g2 b3 _" A
(repeat (1- ttal)
7 u( m2 V3 f- N, j2 g(setq e (entnext e)' U a* `' L& G4 M
tstmp (ssadd e tstmp)# i$ `+ U2 h8 \
)
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(command "union" tstmp "")8 \+ n, v1 g9 Q, ?) t
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; 若开始创建45度的圆锥
9 I/ g. P6 ]+ u' C# G' i& @(if (/= startcone "order"): `& s# m9 v4 [) L: c) e( a$ K
(progn (setq e (entlast)), q" l" C# B! {
(command "cone" (list (car ptStart) (+ (cadr ptStart) threadpitch) (caddr ptStart)) "d" radmid "a" (list (car ptStart) (+ (+ (cadr ptStart) (/ radmid 2)) threadpitch) (caddr ptStart))) {8 O& W: E/ K. O/ ?& F
(command "union" "l" e ""): v- S, U6 z4 Z1 v8 }: T9 o
)
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(command "slice" "l" "" "zx" pttmp11 pttmp12)
# }0 @; ]3 F7 |(command "slice" "l" "" "zx" pttmp12 pttmp11)& @( T) _( ^' O5 d2 f" y! [0 [
(command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) threadpitch) (caddr ptStart)))
( O/ v. \: G( ^7 a, P t0 f6 s' O$ b2 i" i I6 l, n; Q; v! @
; 创建最小直径的圆柱体,然后与螺旋作交集
& i% d' E& f: _. c(setq e (entlast))
+ Y, H& j6 V' m3 _# u4 V# V) o(command "cylinder" ptStart "d" radinner "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))/ e' P! h4 k- O2 q
(command "union" "l" e "")
: W c8 [6 [2 B' L2 z- ^) L(setq tstmp (entlast))
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; 创建中空的圆柱体
8 N) B- H$ `) C9 h( S; Z, p(command "cylinder" ptStart "d" radmid "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart))) ; minor dia
( @2 q7 m& |# T3 b(setq e (entlast))% B$ t8 W8 E7 l9 R, o) D; f# r
' U8 c0 w* w/ J; 若最后创建45度的圆锥
( W( e4 L: I9 L" R n1 F) L(if (/= endcone "order")! j5 p/ e! i; X/ G$ [
(progn (command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) (/ (- radmid radinner) 2)) (caddr ptStart))) # M2 {( g1 ~( ~$ U; O8 d4 p
(command "cone" ptStart "d" radmid "a" (list (car ptStart) (+ (cadr ptStart) (/ radmid 2)) (caddr ptStart)))
3 T4 r/ C' d% u2 D/ o3 m) f(command "move" "l" "" ptStart (list (car ptStart) (- (+ (cadr ptStart) (abs threadlength)) (/ (- radmid radinner) 2)) (caddr ptStart)))
6 V0 v' z6 }$ v(command "union" "l" e "")
+ K) K# b C9 t6 x+ @# O(setq e (entlast))
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; 从大圆柱中减去小直径圆柱& ~- H- j- O6 ~4 l. `) t$ b
(command "cylinder" ptStart "d" (* radmid 1.5) "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))
. V* q6 O N% I, h(command "subtract" "l" "" e "")3 }" o2 s9 B. j; C9 c7 V; l
(setq e (entlast))
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; 从螺旋中减去圆柱
0 n. E" h% T0 h5 |* m(command "subtract" tstmp "" e "") L) o, r$ J5 ]" ^0 v8 M$ n/ @
+ v. v0 Y1 e1 D4 k4 z8 [+ U% f q+ W6 e
; 如果螺旋长度为负然后镜像
. _# N* {1 \" O. l: L& y; Y(setq e (entlast))& i! m. T* r9 G6 g2 @* S0 c& i. v: J
(if (< threadlength 0) (mirror3d e "zx" ptStart "y"))
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(command "zoom" "p")8 D1 d" m7 c. m
; (command "undo" "end") ; 结束undo步骤. B# }+ }- t. x( Y3 g
)
# G( s! i6 x' `2 o) A2 U; ^; U' \' _
;;;---------------------------------------------------------------------------------------------------------------------;, A, n5 u3 ~8 M7 w0 G+ X+ [5 `- r
(arxload "geom3d" nil)8 O4 n" e7 [5 F
(princ "
0 p# Z R$ W1 B" a/ g8 j3DThread 已加载。 ")
2 I8 R3 |" N: @- i' s9 F(princ)3 S; H3 d0 V$ @# i# U, R# X+ f
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三、弹簧源程序 |