齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开
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2 Q, e- s8 c9 e% b6 X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$y)P4[-Q; t. q4 ^- l! x( Q6 A) ]
一、齿轮轮齿渐开渐开线
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% j9 L& i+ A) N f* m! S( I) I2 O代码:1 C# _3 L9 `4 A+ b* O2 j
(defun c:gear(/)
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1 a) [7 w$ X2 Hsetq
# e2 U6 K- ]& `: C! S- Y% Up0 (getpoint"输入齿轮中心p0: ")7 q R6 J" o1 m
m (getreal"输入齿轮模数M: ")
6 X& [7 P0 Z8 |# g& T+ B, Jz (getint"输入齿轮齿数Z: ")
* s# O D( o( kha 1
9 {, i: o& R# z! I5 }5 D7 i, J- @c 0.25
8 R$ j9 }* L& q9 ia (/ pi 9)9 _+ l1 P, |$ `5 C- G* `- |
ra(/ (* (+ z (+ ha ha)) m) 2)
! P! |: z" [3 q: Wrf(/ (* (- z (+ (+ ha ha) c)) m) 2)- a7 {6 a5 l, ?# U9 a% o3 C
r(/ ( * m z) 2)+ Z% I/ o# t& [1 ?: f
rb ( * r (cos a))- ~- w7 U* D4 u, Q9 ~' d
ri rb
& B' }0 S+ H9 j9 m' e- pang 0& d3 i/ M' H2 H+ y- g4 b
g (polar p0 ang rb); z x$ Y! S% ?4 J
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(command "circle" p0 ra)
* C# k) J1 b9 o(command "circle" p0 rf)
; P3 V5 ]& Q3 a$ K( U, ^(command "circle" p0 r)1 a) y4 a" A3 c3 H
(command "line" g)
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- n# {2 V" `' h7 G(while (< ri ra)( K* Y* }$ K4 L' B& x9 L
(setq
2 {" i3 D* d- y Q& I2 }6 k- Gang ( + ang(/ pi 360))
+ S- Y {) R) K+ uri ( / rb (cos ang))3 o6 d8 H# [3 b9 l- G
cta ( - (/ (sin ang) (cos ang)) ang)
4 `% W& k6 U# w* H1 b$ P+ a- Cg(polar p0 cta ri)
1 L( ^3 u2 D1 c# d)
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(command g)1 v( h4 _" I7 B* x; M& ?4 u$ f
)
: k: E0 Y9 ~" r( ~! C M6 Z(command ) " Q% o7 D% d3 A, W; y3 Q ^
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) b9 \3 _3 j+ Y: d0 J二、螺旋源程序
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8 r; `* q6 ^+ E8 |代码:
6 o- j* R& ?) s8 h9 @: O" \2 F(defun errMsg (s); `5 g% V" Z A8 Z/ E$ @
(if (/= s "function cancelled") (princ (strcat ", x5 l3 w+ p; W4 v l, `" G7 F: ~" p
Error: " s))): ]# k4 P; r1 p) f M' e! D1 v
; 当命令执行时出现错误
: |$ B5 Q$ `2 h6 S+ W/ T(setvar "cmdecho" ocmdold) ; 例如用户按下了CTRL + C
# _ a3 p7 ^/ S- l6 ~ N: w(setvar "osmode" osmold)% q3 v& O, N9 @' A+ W" [3 N
(setq *error* olderr) ; 恢复旧的错误处理, p% f4 N; m% K3 V
(princ)
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' u9 c \/ \2 p. }: K/ [* g" [* P(defun c:3Dthread (/ radouter threadpitch threadlength threadangle ]+ k: R) z* h
ptStart innerdiafactor radmid radinner ocmdold osmold 4H 5H 6H h6 g6)7 k0 U9 j m+ K: P6 U+ M
;-------------------------------------------------------------------1 G7 s9 U( I6 ]& }* A: P, L
; 获取公制外径大小、螺距总长
, U% L( f$ z4 z: K0 ^/ R; 然后计算一系列几何点/ u; u8 j1 v: g; ~ C
; 并且关闭对象捕捉、命令回显6 R( S0 h$ r* M
;-------------------------------------------------------------------- Y4 F. C+ `% ]3 T! o
(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 `/ ~2 o- ?4 u U6 I' u+ |(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))
8 ~: P6 Q' A% ]! 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))
/ U T+ i) e/ R4 ? o2 }(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)) 6 X9 [4 ?' v9 t5 R3 A% v3 \$ {
(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
5 K- N9 Y* }; N" J! v ~7 m(setq ocmdold (getvar "cmdecho")) ; 保存调用前的cmdecho系统变量值 H/ u: Z0 X6 x; V- ?: l
(setvar "osmode" 0) ; 关闭对象捕捉
2 k2 e2 Y9 t ^# q: I; B(setvar "cmdecho" 0) ; 关闭命令的回显/ A, }! D6 }6 N: [$ L, i# K0 r
! s1 t, ]( v% b9 p3 A0 a9 o(setq innerdiafactor 1.5) ; 设置内径系数' ^) f* e2 D& L) {; }! h
(initget 7) ; radmid 必须非零、非空、非负
/ d3 o Q4 p( q) w/ D1 z(setq radmid (getdist "
# r4 N- I6 X4 v0 w5 O* `6 c/ ?公制外径: "))6 X" Z" c& s' g7 ~- e2 Z7 x
(initget 7) ; threadpitch 必须非零、非空、非负
$ `# g( L, e' m2 f(setq threadpitch (getreal "* h) u" s2 G# L
螺距: "))
! Q* L3 S; [; v" W3 Q1 [(initget 1) ; ptStart 必须非空8 y4 Z* |; k* H; t4 U
(setq ptStart (getpoint "' \ o* M) `. n+ }; N) A
起始点: "))
. v, m4 d. d( U0 V8 j6 _3 U(initget 3) ; threadlength 必须非零、非空、非负
& ]' T$ W6 [' _& X(setq threadlength (getdist "9 j, x3 r1 |( U0 Z3 Q6 L5 `3 b
螺纹总长(Y方向): "))2 j/ I0 c8 n( D, l
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; 对公制外径添加公差
3 p0 S9 k& O+ W& g% t8 q2 V4 v" |(if (<= radmid 3) (setq order 0) ; 根据公制外径确定公差带中位置
$ {4 h8 s) |+ z' S2 n- `3 _3 p/ U(if (<= radmid 6) (setq order 1): B( \9 O4 c3 _1 n( J) x* L
(if (<= radmid 10) (setq order 2)) ?: Y. h1 I w, V( U7 ~) I
(if (<= radmid 18) (setq order 3)
7 R6 b- O, Y: l! n. H( D$ k(if (<= radmid 30) (setq order 4)
" G- {: {+ ^# @8 a! h/ f(if (<= radmid 50) (setq order 5)
5 l8 S" {( l7 _4 h+ t& ~(if (<= radmid 80) (setq order 6)
) ~, e" m. l1 h4 v3 }# z(if (<= radmid 120) (setq order 7)
. t. h) H0 I: N0 s(if (<= radmid 180) (setq order 8)( b4 K' ~3 Z7 ~* l- E
(if (<= radmid 250) (setq order 9)
; r% r: n8 A/ X5 G* d" e(if (<= radmid 315) (setq order 10)& `# j2 C! I* [5 {
(if (<= radmid 400) (setq order 11)
9 `* M+ {7 a1 u- e& c1 k( l9 e(if (<= radmid 500) (setq order 12)6 b# k( S! \) h, c, a4 ?7 `9 W
)))))))))))))
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% C" Y9 G0 e% M) p; }% ~(if (< threadpitch 0.25) (setq radmid (+ radmid (nth order 4H))) ; 根据螺距确定公差带
& T" `4 y: o9 A# w(if (< threadpitch 0.35) (setq radmid (+ radmid (nth order 5H)))
0 F$ n7 N7 _. J9 q& @' ^) q4 [(if (>= threadpitch 0.35) (setq radmid (+ radmid (nth order 6H))) k0 _/ W6 Q6 E/ v
)))- I& {* s' ~, n9 v
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(setq h (* 0.866025 threadpitch)) ; 计算齿高
- c1 D% t q# }2 t+ o U. y(setq radouter (+ radmid (/ h 4))) ; 计算外径! L& i9 v( ]. b% e$ b
(setq radinner (- radouter (* h innerdiafactor))) ; 计算内径8 W8 y: c2 r$ k' P
(setq threadangle (+ 30 0)) ; 计算齿顶角6 u% t9 w% `% [, J7 u
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(auxithread radouter radmid radinner threadpitch threadlength threadangle ptStart) ; 调用绘制三维螺纹的子函数
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6 l- M2 s4 m( ^" M& n* t+ c(princ ", P4 b, w) D2 \7 r Q6 W
三维螺纹创建完成")! H7 f5 }* `9 s1 f; |1 Y. i4 u. _/ S
(setvar "osmode" osmold) ; 恢复调用前的osmode系统变量值
7 a: _% k& i3 G% f0 r$ d$ } E(setvar "cmdecho" ocmdold) ; 恢复调用前的cmdecho系统变量值
& g* O* g( ~5 q& {- ^(princ)
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(defun auxithread (radouter radmid radinner threadpitch threadlength threadangle ptStart / ttal pt1z ang pt1a, {2 M1 }$ z) e2 r/ l. e/ v% S/ t
pt1az pt3a pt1b pt1bz pt3b pttmp1 pttmp2 pttmp3 pttmp4 pttmp5 pttmp6 pttmp7 pttmp8 pttmp9 pttmp10 pttmp11 pttmp12 tstmp startcone endcone)0 z- Q4 n+ W8 Q, j# o+ P" Z
2 {/ K1 O8 a, l' n9 g0 H9 T;(command "undo" "begin") ; 开始undo步骤& r& d; ~$ b1 @4 C
" Y6 N4 s! D8 Q A(setq ttal (+ (fix (/ (abs threadlength) threadpitch)) 3)
/ n+ Q ^8 g7 k2 u% {pttmp1 (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (caddr ptStart))" d0 o! s/ D' W5 d1 L: I- W
pt1z (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (+ (caddr pttmp1) 1.0))! V; I- _) x/ _) c4 z( \3 y
pttmp2 (polar pttmp1 (/ (* threadangle pi) 180.0) 1)) z2 g1 r& H4 p2 h" z
pttmp3 (list (+ (car pttmp1) radouter) (+ (cadr pttmp1) (/ threadpitch 2.0)) (caddr ptStart))
3 H' m9 {5 j: A% ~ang (angle pttmp1 pttmp3)5 r& g3 v% W" f0 j: t
pt1a (polar pttmp1 (+ ang (/ pi 2.0)) threadpitch)2 ?0 u3 e! @& h
pt1az (list (car pt1a) (cadr pt1a) (+ (caddr pt1a) 1.0))
3 v3 H8 j6 ~1 P" a* T) Mpt3a (polar pt1a ang radouter)" T1 g% Q( T3 R F
pt1b (polar pttmp1 (- ang (/ pi 2.0)) threadpitch)" J9 }1 y2 p9 u% F
pt1bz (list (car pt1b) (cadr pt1b) (+ (caddr pt1b) 1.0))
5 g+ d5 `% g* G- Z! @pt3b (polar pt1b ang radouter)& o2 L, L) x* S$ ~2 Y+ j/ Q
pttmp4 (polar pttmp3 (/ (* (- 180 threadangle) pi) 180.0) 1)& v9 T- ^7 A7 ^) u0 m1 X; @" s
pttmp5 (inters pttmp1 pttmp2 pttmp3 pttmp4 nil), M* W5 H4 I) \) R% T
pttmp6 (list (car pttmp5) (cadr ptStart) (caddr ptStart))1 R/ h7 S' M" ~6 y7 b; Y3 E
pttmp7 (polar pttmp1 (/ (* (- 360 threadangle) pi) 180.0) 1)
& R$ ]7 F2 l' P, P0 Y4 n+ vpttmp8 (polar pttmp3 (/ (* (+ 180 threadangle) pi) 180.0) 1)
# L& I' G/ b6 v0 [pttmp9 (inters pttmp1 pttmp7 pttmp3 pttmp8 nil)+ Q8 G/ a: h# u5 r
pttmp10 (list (car pttmp9) (cadr pttmp3) (caddr pttmp3))* N! h" k( n! ^8 ~( I: ~+ a
pttmp11 (polar ptStart (/ pi 2.0) threadpitch)
% F5 R2 M' ?, i0 Y ~5 zpttmp12 (polar pttmp11 (/ pi 2.0) (abs threadlength))
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;-------------------------------------------------------------------
. X( y6 V7 o: k$ i) ?) P7 |; 绘制两个倒置的并偏移1/2螺距的圆锥
2 ~' h& i+ N$ O; f1 X1 w8 k- x; 这两个圆锥都以中剖面剖分
9 E! j$ C7 ^* g; b3 o5 T8 n; 进行并集运算
$ \8 }+ _2 }, o: j; I;-------------------------------------------------------------------" W" N( q3 U: R: d
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(SETQ startcone "order")$ o' S1 n; @. c( N) _
(SETQ endcone "Y")
7 @6 S# d0 |$ {; l9 d(command "zoom" "w" (list (car pt1a) (+ (cadr pt1a) (abs threadlength)) (caddr pt1a)) pt3b)! J5 K! O- B( m$ W# l2 b" L
$ \) V) x5 ^! F8 _0 @$ t
(princ "
2 ^1 Q& C! @! ^# f1 ]* \# r0 \正在绘制三维螺纹，请等待")
8 R0 X/ U- Z. I5 Z6 T* v6 S2 Q(command "pline" pttmp1 pttmp5 pttmp6 "c")
! P8 k# ~* o* P3 o$ [(command "revolve" "l" "" pttmp5 pttmp6 "")3 K. h5 w0 u" n" i9 S% c5 e
(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp5)! i) W) w$ \1 E l0 ]! `$ @3 I3 b
(command "slice" "l" "" pt1a pt3a pt1az pttmp3)
: N! }9 r' g) Z n' P: C(setq tstmp (ssadd (entlast)))
! Z4 {0 M7 N6 I6 R# e0 U! w2 ~(command "pline" pttmp3 pttmp9 pttmp10 "c")
; f2 X6 T0 [6 D: n5 J k+ s! C! y(command "revolve" "l" "" pttmp9 pttmp10 "")
) ^+ F! {5 E( I0 M# {; S(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp9)4 t8 J4 B$ s, t2 D$ N- i
(command "slice" "l" "" pt1b pt3b pt1bz pttmp3)
; @9 a3 e) h( m: O1 b7 v(setq tstmp (ssadd (entlast) tstmp))
5 _' @ E0 H x, a) c. U(command "union" tstmp "")1 S1 ~3 }. F6 p" j
8 V8 H Z1 t5 ~/ O* @' C;-------------------------------------------------------------------
3 R" Z' R& q! ?- t5 {; i+ c6 ^4 m6 _; 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5 P' p' G* P# X7 c( J
; 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 V/ E8 X' h2 ~) S% v% Y
; 在最后一步被切除1 A% C, W2 u0 @" a. w8 |
;-------------------------------------------------------------------
# `0 h% t, ]4 @, S' b1 g% C% E
" J Z" S9 i2 u+ A- j d% n(command "slice" tstmp "" "xy" ptStart "b")
: h: ?$ k$ P/ r1 Z(setq tstmp (ssadd (entlast) tstmp))
# R1 H% x1 ~& ?7 c9 l(command "mirror" "l" "" pttmp1 "@10<0" "y")
& b+ x% @1 h' ]7 j2 m& f(command "union" tstmp "")
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8 |# V6 X* H3 Z. l* |;-------------------------------------------------------------------
) b9 K0 q# i: Q& Z6 `8 @3 f, @; 螺旋进行阵列操作，然后再作并集（可能会耗费一定时间）
# G4 `( q. @- u; 得到的实体再切除到指定的螺旋高度
% v3 N" W" W9 Z+ t& v( E" F;-------------------------------------------------------------------
( s; j# ?5 r( T" Q4 V+ @7 k5 p3 n* m+ O' q% b" s3 r( b" P
(setq e (entlast))
' _+ F# h6 f: @8 w# L: V(command "array" tstmp "" "r" ttal 1 threadpitch)% P- X5 ?# P3 t2 V- u
(repeat (1- ttal)1 V& f0 N& _! G. B, G: o$ m" y
(setq e (entnext e)+ V# y: O* u. L- d
tstmp (ssadd e tstmp)
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7 W. L" i" K/ E)
0 G9 [- T" m, `9 @+ x(command "union" tstmp "") r" a2 e: x( K. S* \. T. F4 B0 b0 C
" @9 V0 f1 Y& C" k; 若开始创建45度的圆锥& B9 ?1 @8 N. z4 Q
(if (/= startcone "order")
* j# c- D3 U2 l, U. J; C) [(progn (setq e (entlast))
( l6 V; f) Z* c0 s- R1 _$ M(command "cone" (list (car ptStart) (+ (cadr ptStart) threadpitch) (caddr ptStart)) "d" radmid "a" (list (car ptStart) (+ (+ (cadr ptStart) (/ radmid 2)) threadpitch) (caddr ptStart)))# S2 v+ ?: Q. q
(command "union" "l" e "")
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)
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(command "slice" "l" "" "zx" pttmp11 pttmp12) q6 j- M1 F7 d! g3 B, P" n1 Y2 |
(command "slice" "l" "" "zx" pttmp12 pttmp11)) g# q6 ^( H# z3 k( G: l
(command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) threadpitch) (caddr ptStart)))
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; 创建最小直径的圆柱体，然后与螺旋作交集5 u4 o. O. O# n8 Z) [' W8 A
(setq e (entlast))
; g5 N& `' i. u) ~, Y# ?8 ](command "cylinder" ptStart "d" radinner "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))
: _6 d4 R# G, {2 H(command "union" "l" e "")
( B1 ]: b2 L' a3 K(setq tstmp (entlast))
2 Q4 w$ D" _: z7 b, H) G' T- A: E5 l% @1 @7 ?: e# c3 R9 O5 l
; 创建中空的圆柱体1 ~( ? J8 R! K8 K' B
(command "cylinder" ptStart "d" radmid "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart))) ; minor dia" s: d: _+ W, Z# ?0 |
(setq e (entlast))7 u0 H0 g9 ]+ G& W6 J7 X& l
( V: k5 {9 m7 _6 h! I; 若最后创建45度的圆锥. ~% p r8 A+ N
(if (/= endcone "order")
" ~! k& b3 W& w b8 V. e5 F6 ?(progn (command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) (/ (- radmid radinner) 2)) (caddr ptStart))) - V9 T: [1 c+ s( ~- n
(command "cone" ptStart "d" radmid "a" (list (car ptStart) (+ (cadr ptStart) (/ radmid 2)) (caddr ptStart)))
( z$ q" V4 v* w( ]5 P(command "move" "l" "" ptStart (list (car ptStart) (- (+ (cadr ptStart) (abs threadlength)) (/ (- radmid radinner) 2)) (caddr ptStart)))
5 R' y) [# J+ `3 o$ P( A6 R(command "union" "l" e "") : n8 p, |, R# d
(setq e (entlast))4 t$ Q& [1 s1 `8 ~0 ?+ X$ ~
) n3 d" H: F" t7 Q! c, \3 c
)# i$ ~! R* w! }) W+ r
8 n/ s! b7 F1 \ |& J8 {; 从大圆柱中减去小直径圆柱& [+ F. }% Z/ Z
(command "cylinder" ptStart "d" (* radmid 1.5) "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))
9 z/ }: z2 a- s9 [0 Q x(command "subtract" "l" "" e "")+ W8 E4 _) T; _) _) P5 M) d5 Y
(setq e (entlast))
! |/ p1 t" v, g* q% `3 x/ m
7 m5 w/ Z3 n; t, a+ C3 r9 C( O6 H, m; 从螺旋中减去圆柱
& ^" g' w0 z$ Q$ Y+ ^( U(command "subtract" tstmp "" e "")8 X( }. i4 T5 _* A3 z2 m8 }
9 W, Q0 X* M# w; 如果螺旋长度为负然后镜像
# S7 r3 ]) O" f* r5 e- _(setq e (entlast))
+ V" K9 f/ l$ f, s1 N$ e& i(if (< threadlength 0) (mirror3d e "zx" ptStart "y"))
/ I9 a! F7 x! M0 u0 ]
8 q6 z2 R6 t# T- |(command "zoom" "p")
' I+ }2 I" \2 Z- c' f; (command "undo" "end") ; 结束undo步骤- E7 b$ C7 a) @$ J& V8 `$ M* d6 [
)
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;;;---------------------------------------------------------------------------------------------------------------------;
' p6 G' } `4 R) g(arxload "geom3d" nil)
/ ?5 F+ I7 |3 c6 Q v(princ "8 n2 u3 _! P/ m
3DThread 已加载。 ")# `- `8 L8 D, s+ F
(princ)
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0 \9 @0 n6 M( J9 f: q2 |# Y4 a6 ^3 h% r
三、弹簧源程序 |
发表于 2008-8-27 21:47
楼主