齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开
( U) V I1 k7 Z2 p m* P6 }$ p, e* |7 ? {$ L
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$y)P4[-Q
4 V1 h0 W' Q! [5 h, m9 R0 C一、齿轮轮齿渐开渐开线# s5 X4 m, ~7 N7 r6 z. a) G
7 @7 m) Q, \; j$ k; {- k0 a' R[复制到剪切板] [ - ]
( S( J: K, ^; E( Y, Y; v代码:9 m5 j# x2 }" {& n* Y- K
(defun c:gear(/). `2 M3 ?* a. A6 P# _! O
(
5 ^3 a% |& \' {/ B' w) msetq
$ z2 u: h9 q# W% G5 |p0 (getpoint"输入齿轮中心p0: ")0 Z/ s; H9 E" s( \+ s
m (getreal"输入齿轮模数M: ")- T7 E6 }/ t& w& w9 [
z (getint"输入齿轮齿数Z: ")
+ C* ?% C, j. r( C: Hha 1; p0 U. d$ [6 r0 M8 e- ^
c 0.251 U. x7 g$ y, @ \
a (/ pi 9), J7 ]# f9 h) j3 x
ra(/ (* (+ z (+ ha ha)) m) 2): c" a) W4 e0 A. P
rf(/ (* (- z (+ (+ ha ha) c)) m) 2)
) D) F5 T6 Y* l% `r(/ ( * m z) 2)/ Y- I, f: B/ h" d5 R
rb ( * r (cos a))
& a& n& ~$ S- _* Z# k! ?- `& }. Pri rb
# a' X( t% d- `! w2 ]ang 0
: L3 L& Z- R4 f* `7 H0 N. d. Ug (polar p0 ang rb)
( m. f0 ~8 {2 Y8 k* T) w& i)
; T$ ?: K$ ~4 g; }2 U2 I% f(command "circle" p0 ra)& Q b2 g2 v- x
(command "circle" p0 rf)
2 \4 _; F4 {" G/ r. I3 y(command "circle" p0 r)
1 A0 x, s3 m1 A- s& G(command "line" g): S! W/ }9 E# ]: q, [( V L/ C N
4 x u6 ~ b) m$ i
(while (< ri ra), [7 v0 s5 o) h5 s: l
(setq q _. G4 w* _% C, Y% x
ang ( + ang(/ pi 360)) T1 ]- q6 a M6 W: [; u& @& L' b) i
ri ( / rb (cos ang))
/ D& k- T, E! E9 lcta ( - (/ (sin ang) (cos ang)) ang). R- ^! T3 W% A4 b) q! Q0 B
g(polar p0 cta ri)9 i7 O9 }9 v! B4 k5 O4 i6 y/ S
)
. ~6 h; h7 ]/ u% b: A! M; n& s1 F, N) s' A
(command g)1 [4 ?) i$ W" V- T* f6 F* \% B. u
)
2 W( @: t3 i/ e1 P) y/ u8 C(command ) 7 z( |5 o- |8 V/ j$ V7 E
)
$ `6 Y3 |$ E# m2 E- x, U; I3 ^/ r7 d' B; ~+ S- H
. G1 I9 Y/ v9 c2 b, X. q二、螺旋源程序
: I. I9 Q. C* W8 X9 e8 _3 y
" M* I& ?- B7 p1 [[复制到剪切板] [ - ]6 }; f: t; F( \4 l, d
代码:6 ^4 u; p8 L' h; t9 b
(defun errMsg (s)) a( H7 q5 @& [
(if (/= s "function cancelled") (princ (strcat "* z, k5 m Q9 V0 T) ~
Error: " s)))
# G% O: d) t# W) |$ p* W; 当命令执行时出现错误7 S+ K& M/ _6 A4 T; R
(setvar "cmdecho" ocmdold) ; 例如用户按下了CTRL + C a7 c# \/ }# \. T7 B3 p
(setvar "osmode" osmold)$ n4 e% a( m" Z* N" n$ |
(setq *error* olderr) ; 恢复旧的错误处理
# K7 d2 i8 b. r(princ)2 f7 Z$ f/ o |6 B! h; a
)1 g3 J% m4 r' j5 V' k5 U
, x3 o2 r" w$ y# U+ S4 L9 f: m* R(defun c:3Dthread (/ radouter threadpitch threadlength threadangle 8 [; U+ T2 x% x+ K
ptStart innerdiafactor radmid radinner ocmdold osmold 4H 5H 6H h6 g6)* U* b; k, u2 N O5 a5 p5 Y% B5 F
;-------------------------------------------------------------------0 U2 G6 O0 `5 s
; 获取公制外径大小、螺距总长
( w& ^# ?2 d5 Y" L& ?, P! f* d; 然后计算一系列几何点
8 ^5 n/ v2 [( e" Y3 @. f+ [% n; K- M. W; 并且关闭对象捕捉、命令回显9 _+ U+ J7 ]$ o, {& F/ O1 V
;-------------------------------------------------------------------
, \6 c- [& a: ~(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)) ( c; r% m! q9 Q5 S8 ]/ d
(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)) # c0 s9 t$ _- u6 X* i4 x
(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)) 6 k, d4 k' X" P K/ c
(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 V2 o9 W" k. l3 p& u, o(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)) $ P5 N( B" r7 m; ?. T; w3 e
# @5 C! i9 a% z5 r6 c1 m/ Y9 O( U
(setq osmold (getvar "osmode")) ; 保存调用前的osmode系统变量值5 N. `( { H* B# W% j$ Y. s- }
(setq ocmdold (getvar "cmdecho")) ; 保存调用前的cmdecho系统变量值7 ?& i5 z/ d: s; k8 y
(setvar "osmode" 0) ; 关闭对象捕捉
9 _; T- ?- _& O" W4 {(setvar "cmdecho" 0) ; 关闭命令的回显7 e4 b+ J) U2 A* z8 t
$ O( H+ G# c- v& w- L M$ u
(setq innerdiafactor 1.5) ; 设置内径系数
! d* [3 t) K7 H. i- u& c(initget 7) ; radmid 必须非零、非空、非负
4 V* X( @# y2 B7 Y, q(setq radmid (getdist "0 J' L1 ?( Q# k5 ~% z
公制外径: ")) ^7 N7 X8 n7 _2 ~4 I: m r
(initget 7) ; threadpitch 必须非零、非空、非负
/ r8 C4 E9 ~2 [4 d0 H(setq threadpitch (getreal "- L$ i' R: u4 X9 b' `) F/ K
螺距: "))
0 T$ A8 m, v' d" Q z(initget 1) ; ptStart 必须非空
' u8 G. z6 b( I1 h! I(setq ptStart (getpoint "
* x; y. ^0 M# y7 n) H& t8 A* r- x, K; Q起始点: "))& Q; y' N* X9 [0 n) W O# F
(initget 3) ; threadlength 必须非零、非空、非负
/ B: y, f" n# P# o6 [+ `+ f) m(setq threadlength (getdist "
! d5 s6 V% e3 T8 _9 i# _' b$ a螺纹总长(Y方向): "))
) P8 N: [- P' g) X- E7 I& c9 E3 N
( t O3 R7 z9 O5 m. N' t& Q6 v+ A |; 对公制外径添加公差5 W5 W t& [) l
(if (<= radmid 3) (setq order 0) ; 根据公制外径确定公差带中位置
- m' u1 \( T" i; z2 q }(if (<= radmid 6) (setq order 1)
2 j5 Z* Q8 H$ U- e, I5 M' `(if (<= radmid 10) (setq order 2)
3 _, \ o9 x' Q# [(if (<= radmid 18) (setq order 3). X5 m c6 G$ @, K* t# l
(if (<= radmid 30) (setq order 4)
7 U; Y3 [1 s2 h5 w P* s(if (<= radmid 50) (setq order 5). E5 u1 j/ X* {: j6 o8 ^
(if (<= radmid 80) (setq order 6)2 B8 X m" i, m$ c) J
(if (<= radmid 120) (setq order 7)0 G' A j) r0 t5 h9 {
(if (<= radmid 180) (setq order 8)
) S( S; D7 v8 h" W/ N" E(if (<= radmid 250) (setq order 9)
& O3 a* u3 S+ q3 U( Y- b7 }/ b(if (<= radmid 315) (setq order 10)6 H2 @% o' h2 z! W$ |4 Y" m
(if (<= radmid 400) (setq order 11)
- G* O0 Y% \8 Y(if (<= radmid 500) (setq order 12)( M0 v* X0 j1 m
)))))))))))))5 |# q2 h; |1 B' Y* @/ F) v/ I5 h
5 p; }% S4 N" A+ x" X* e7 }* h
(if (< threadpitch 0.25) (setq radmid (+ radmid (nth order 4H))) ; 根据螺距确定公差带4 O/ j7 G% ], D, {) K
(if (< threadpitch 0.35) (setq radmid (+ radmid (nth order 5H)))# }8 {! E( N* h+ e3 ^$ h' R5 O
(if (>= threadpitch 0.35) (setq radmid (+ radmid (nth order 6H)))% u+ l! q3 {% o: `5 L! ]1 n3 z, t& M# s5 y
)))
% z/ C2 ~+ q3 p- J$ {6 U) u2 _6 @) E7 f4 {2 ~/ @4 [4 c* Z7 z
(setq h (* 0.866025 threadpitch)) ; 计算齿高* }' w" E6 Q5 a% N* B# D7 i
(setq radouter (+ radmid (/ h 4))) ; 计算外径
' X$ S. J! y$ S4 ], P: k# B$ E(setq radinner (- radouter (* h innerdiafactor))) ; 计算内径- Z4 _7 I7 e, e: I" [
(setq threadangle (+ 30 0)) ; 计算齿顶角. s3 B6 F7 m, t4 r# q4 @
6 [0 Z7 Q( T" ?/ Q B/ z( U3 e
(auxithread radouter radmid radinner threadpitch threadlength threadangle ptStart) ; 调用绘制三维螺纹的子函数* U4 F- m. f1 ~
5 ]& ]6 S4 X' ~; c" J4 G/ A
(princ "3 Q3 V: s. i& E3 k$ Y$ E6 M' _
三维螺纹创建完成")
S" @; X0 A$ G! G/ X(setvar "osmode" osmold) ; 恢复调用前的osmode系统变量值
# S4 U/ x7 m& y(setvar "cmdecho" ocmdold) ; 恢复调用前的cmdecho系统变量值5 j4 b' g/ n/ U/ T) x: l6 D
(princ)
. P- K7 u- W; R9 Q! L! v; A)
6 Z7 w3 t2 |7 L5 I3 T5 N @9 k: O/ j+ X
(defun auxithread (radouter radmid radinner threadpitch threadlength threadangle ptStart / ttal pt1z ang pt1a
( F7 o% e' }, Q; a4 V! Spt1az pt3a pt1b pt1bz pt3b pttmp1 pttmp2 pttmp3 pttmp4 pttmp5 pttmp6 pttmp7 pttmp8 pttmp9 pttmp10 pttmp11 pttmp12 tstmp startcone endcone)
$ }( C# X( O, z7 V+ O5 a# F$ g' T. `
;(command "undo" "begin") ; 开始undo步骤& P' y$ w! w! n/ J a5 Q
- k3 w- @$ R$ R# h(setq ttal (+ (fix (/ (abs threadlength) threadpitch)) 3)
. B, C3 w+ d+ n4 Gpttmp1 (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (caddr ptStart))
$ p) w5 ~% z4 g* k7 ^9 Fpt1z (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (+ (caddr pttmp1) 1.0))" S' V/ X* E& r" S
pttmp2 (polar pttmp1 (/ (* threadangle pi) 180.0) 1)
0 x2 {# I4 @0 G8 E) Xpttmp3 (list (+ (car pttmp1) radouter) (+ (cadr pttmp1) (/ threadpitch 2.0)) (caddr ptStart))& `9 R9 ~. B: E8 _ S o+ Y
ang (angle pttmp1 pttmp3)4 N- m N: s9 d: Q. l' Y
pt1a (polar pttmp1 (+ ang (/ pi 2.0)) threadpitch)
4 R- x, [* t5 [; B1 N4 Kpt1az (list (car pt1a) (cadr pt1a) (+ (caddr pt1a) 1.0))
7 E& k3 M6 i2 f/ Tpt3a (polar pt1a ang radouter)
1 X+ G: V! [+ Y% O$ i) H: zpt1b (polar pttmp1 (- ang (/ pi 2.0)) threadpitch), h/ ^+ K* ^! e" {! X6 s
pt1bz (list (car pt1b) (cadr pt1b) (+ (caddr pt1b) 1.0))
" j! C e% X5 i: Apt3b (polar pt1b ang radouter)! M; Y* I% F! Z' |* x* {8 ^# w
pttmp4 (polar pttmp3 (/ (* (- 180 threadangle) pi) 180.0) 1)! K1 E. z$ k1 S% c1 M3 Y0 |/ n' R
pttmp5 (inters pttmp1 pttmp2 pttmp3 pttmp4 nil)
( O* @# Y! A$ ]$ h! o. f. |pttmp6 (list (car pttmp5) (cadr ptStart) (caddr ptStart))
. H- O- Z, X8 J$ @, M) kpttmp7 (polar pttmp1 (/ (* (- 360 threadangle) pi) 180.0) 1)
( Y9 j) [, V4 Y( x k1 }+ {pttmp8 (polar pttmp3 (/ (* (+ 180 threadangle) pi) 180.0) 1)$ l1 w8 F" ~9 ?! S; c
pttmp9 (inters pttmp1 pttmp7 pttmp3 pttmp8 nil)/ v$ S) }( k/ n, \
pttmp10 (list (car pttmp9) (cadr pttmp3) (caddr pttmp3))
; k7 I( p' I1 Dpttmp11 (polar ptStart (/ pi 2.0) threadpitch)/ c; l7 i$ J+ z" X
pttmp12 (polar pttmp11 (/ pi 2.0) (abs threadlength))# z" H: @( _- Z2 x7 X
)5 T: `( o. d, _7 A2 o
' W# ^: V: x5 [/ z0 _: B;-------------------------------------------------------------------% g) H- S/ \, q/ Y7 a
; 绘制两个倒置的并偏移1/2螺距的圆锥6 t. l) [* a+ g% q+ {9 `3 A
; 这两个圆锥都以中剖面剖分
# C1 U' S# }$ t3 t, _; 进行并集运算
9 N, P1 J8 m: m;-------------------------------------------------------------------
" h9 u- S* ~" o: b J% @7 ~/ {
2 m, w+ `4 v* u% v2 |5 k, t(SETQ startcone "order")
. o) G: _+ c e! K(SETQ endcone "Y")& G2 g0 `0 z4 }2 \3 w% {7 X
(command "zoom" "w" (list (car pt1a) (+ (cadr pt1a) (abs threadlength)) (caddr pt1a)) pt3b)+ O7 g' d# a- a5 j4 Q' ^
V8 _$ J% C) z2 w
(princ "; e$ i- u" H. W9 _, P9 S
正在绘制三维螺纹，请等待")* \5 e* R+ f. ~' V' z! J! A
(command "pline" pttmp1 pttmp5 pttmp6 "c")/ \0 ]8 G/ c% n! l. l3 f0 S
(command "revolve" "l" "" pttmp5 pttmp6 "")
1 Z h/ y/ C6 k1 U" x+ }(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp5)* m. S6 X8 I$ {! I6 K
(command "slice" "l" "" pt1a pt3a pt1az pttmp3)
4 a5 T% n. y, q; {9 b. }3 U(setq tstmp (ssadd (entlast)))7 p0 ^# t2 _7 }- U: M, H) W/ S' _
(command "pline" pttmp3 pttmp9 pttmp10 "c")
. a0 s: m4 P0 e/ `1 G f(command "revolve" "l" "" pttmp9 pttmp10 "")7 @3 G- S" |% `4 u
(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp9)
+ p Z# ]4 V* S1 P! ]) U" F(command "slice" "l" "" pt1b pt3b pt1bz pttmp3)% T; a/ O F% ~2 ]3 D
(setq tstmp (ssadd (entlast) tstmp))# g1 W/ J" \7 c, ?
(command "union" tstmp "")* a; b2 {7 N/ `: n7 M, N8 m
8 B9 e2 \, ?! [;-------------------------------------------------------------------: g5 M& w4 a1 R4 q! J2 {5 [4 A9 \
; 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. G0 C+ H c4 @. x! R' X) P
; 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8 ]9 q* v1 N* h. ~4 F: h2 N9 \
; 在最后一步被切除
0 h7 r1 j# Q( B;-------------------------------------------------------------------& L/ ?6 q( }% \9 E
. H% d5 Z1 z* S(command "slice" tstmp "" "xy" ptStart "b")
* @. V- ~' p2 Z* m(setq tstmp (ssadd (entlast) tstmp))3 V* }+ @! a+ ~; |1 V$ |$ g3 f
(command "mirror" "l" "" pttmp1 "@10<0" "y")* M, C1 f$ S; C# Y; {
(command "union" tstmp "")5 [; J8 V7 M o
) k+ t/ a+ D+ L8 O5 Z" R/ A
;-------------------------------------------------------------------
& U( S% l5 n2 m7 f) B l4 @; 螺旋进行阵列操作，然后再作并集（可能会耗费一定时间）, b9 f( l, N- x- F( c; E1 r. p
; 得到的实体再切除到指定的螺旋高度+ j9 C- Q1 U0 J/ o0 R( b! ^- C
;-------------------------------------------------------------------
* b# w- ~5 ^- w* W& H. p" t+ b6 p: C2 W( q3 z" P8 w! t w) y
(setq e (entlast))
0 h/ e1 ^( p9 g8 v1 H$ c! T(command "array" tstmp "" "r" ttal 1 threadpitch)
3 y2 h9 p' b5 O {(repeat (1- ttal)
* ?& P8 g4 L* O& l/ d; m; h/ C& [(setq e (entnext e)
. e2 [) i3 q X/ P8 \tstmp (ssadd e tstmp)1 d) p; [% r+ U
)
( h& _; |8 G& `# k)4 W! \' Y6 n8 Q+ f+ Z7 m
(command "union" tstmp "")
, F5 _5 A9 O/ V5 |
$ q; u- `% N6 Y3 c* v. Q; 若开始创建45度的圆锥3 H' P+ k- p4 }# m0 t X' y
(if (/= startcone "order")
x! F8 N% V, |- K(progn (setq e (entlast))" I" P9 r& v) n0 W, ^) I% m
(command "cone" (list (car ptStart) (+ (cadr ptStart) threadpitch) (caddr ptStart)) "d" radmid "a" (list (car ptStart) (+ (+ (cadr ptStart) (/ radmid 2)) threadpitch) (caddr ptStart)))& l& C( j+ l9 [8 B' K7 X
(command "union" "l" e "")& ], c" f# R% j1 X
)% ?) u9 z- s$ \. \5 n
)
6 f1 x4 `! w& e( `
, H3 @# J' ^; }7 L- S# F+ l(command "slice" "l" "" "zx" pttmp11 pttmp12)( V+ c; C4 R+ ?; @; a3 S; n$ M" r
(command "slice" "l" "" "zx" pttmp12 pttmp11)/ Q* `3 }# x9 K
(command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) threadpitch) (caddr ptStart))) 5 Y0 h' Q7 y1 M, O5 Y* d2 E
5 `5 o( Y6 _5 y$ R; 创建最小直径的圆柱体，然后与螺旋作交集 I( z) T2 y+ Z+ s
(setq e (entlast))$ u5 N4 h q2 m
(command "cylinder" ptStart "d" radinner "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))9 x) e! x) _5 `$ a# b# e/ z
(command "union" "l" e "")
0 q6 ]9 m3 q3 S(setq tstmp (entlast))
* D* g0 C2 Y# U* h2 @" x, v) H) h6 x5 }5 E
; 创建中空的圆柱体4 R. R) C3 L/ J6 {, R# \; Y$ F, V" a
(command "cylinder" ptStart "d" radmid "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart))) ; minor dia! F1 p' f4 g% C, L8 X$ K
(setq e (entlast)): O" C" x0 ]' k- s; c9 ?
% h6 v; a. z) w2 Z% j# E' p! z; 若最后创建45度的圆锥1 J+ K- ]8 N! z+ K% b
(if (/= endcone "order")" W9 x8 \% h8 L6 H. ]- L
(progn (command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) (/ (- radmid radinner) 2)) (caddr ptStart))) ) }, G% Z7 c3 S2 h
(command "cone" ptStart "d" radmid "a" (list (car ptStart) (+ (cadr ptStart) (/ radmid 2)) (caddr ptStart)))
" t, C* R" \1 ~6 {(command "move" "l" "" ptStart (list (car ptStart) (- (+ (cadr ptStart) (abs threadlength)) (/ (- radmid radinner) 2)) (caddr ptStart)))) e( k# q: a" ?2 X3 f: h
(command "union" "l" e "")
& o# S) Y; {+ W' r& g1 {(setq e (entlast))& w* _ r$ j( X0 n
)3 x9 x3 ^5 w5 B5 s% S8 v
)
}8 c( r6 ~" i* A( w# z/ j5 }: Z9 W& B6 L! b% } Z
; 从大圆柱中减去小直径圆柱
! y% d7 [7 }* H3 i# B0 r(command "cylinder" ptStart "d" (* radmid 1.5) "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart))); x4 d5 Y$ o+ ^4 \4 T
(command "subtract" "l" "" e "")1 x1 G$ h8 e h9 H+ U8 ~3 a- P; |
(setq e (entlast))
* l: P7 Q+ {; w
J6 a. s. D! Q v; s0 d1 j; J! r; 从螺旋中减去圆柱
" V8 D% _3 F9 ^1 i, A' F(command "subtract" tstmp "" e "")
j* ~) a6 C7 y i; A& c5 y9 k; i& V( ]4 s( ^
; 如果螺旋长度为负然后镜像) G4 t/ h1 B0 K* R
(setq e (entlast))1 z% x# `, I5 U5 j3 J
(if (< threadlength 0) (mirror3d e "zx" ptStart "y"))# e% E t8 W4 H9 S+ t' m
3 a1 T, t+ {$ t1 `" C: ^* h
(command "zoom" "p")1 {. B" p% h" }$ B2 `* j
; (command "undo" "end") ; 结束undo步骤1 d( D% p* g2 M
)+ U0 g$ I. B( q- | `3 J
2 \, W# D) p) R7 T! q2 \8 b! u;;;---------------------------------------------------------------------------------------------------------------------;
6 _; Q# U* W" g9 ?(arxload "geom3d" nil)6 ~: _# _ h* _5 h: |3 o
(princ "9 H) R9 S9 y5 J( W; ^0 ^" D. N h
3DThread 已加载。 ")% ]' i/ x6 m/ h2 M0 G& b
(princ)
; I$ ~6 y! b" f3 d
: y. |1 W+ L" ?1 d
7 o: V: m* M$ W$ s+ C0 i三、弹簧源程序 |
发表于 2008-8-27 21:47
楼主