齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开6 B2 H: V% V) o8 p3 A9 y
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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- g. C- ~8 B* O- K) p" q& g
一、齿轮轮齿渐开渐开线- W( A) {6 P3 V6 s0 b0 k* T
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代码:4 x8 B6 K9 ?! I3 Q+ \/ O8 g6 b( `
(defun c:gear(/)- K o& W0 |7 D _4 D
(; u6 J5 y |9 G0 @0 O3 _: y& o
setq9 H8 E: z( z& I
p0 (getpoint"输入齿轮中心p0: ")) I# d* E0 l& M; H0 y
m (getreal"输入齿轮模数M: "): P) S, O4 p6 n* ]
z (getint"输入齿轮齿数Z: ")
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c 0.25
5 `# \$ S+ {' a G. W n6 Fa (/ pi 9)9 R: n1 t) }3 R2 L! J+ M8 S
ra(/ (* (+ z (+ ha ha)) m) 2)
8 C, k: `- Z" G6 q2 }4 M, m* g) urf(/ (* (- z (+ (+ ha ha) c)) m) 2)# b- U4 s, P* t3 h+ z
r(/ ( * m z) 2)6 j1 Q( a* S$ p+ B, w0 B
rb ( * r (cos a))
/ `: P0 n% _6 M9 W$ L; `- w- wri rb
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( {/ \3 R3 Z: u* g% Q2 B9 Vg (polar p0 ang rb)8 V' j+ _. m8 |2 r6 u
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(command "circle" p0 ra)
: X _3 S% q/ D# D(command "circle" p0 rf)" T. |7 o& x1 \" f/ t/ C2 Y
(command "circle" p0 r)
( X7 W+ I: m' L N(command "line" g)
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(while (< ri ra)
0 Z- k9 D. K+ t7 e; l(setq
^8 V! h: d; p; e' |/ j2 wang ( + ang(/ pi 360))
9 S1 ^' n, b5 [ri ( / rb (cos ang))
w8 Y; ^/ J0 C) Mcta ( - (/ (sin ang) (cos ang)) ang)8 k/ H; G1 F8 W. Z( p" V
g(polar p0 cta ri)5 u f' o: H. m# g* b: [6 P3 \1 _" A
)) U: b. D( l2 G6 e- g% n
! ]0 y7 H! L6 c(command g)( _& D) E7 | E1 s. \: N B
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(command ) 5 z7 y+ _7 P% P( l5 T% F+ R- x; ~
)
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+ X/ ?( r3 N" W. I: [, c, `二、螺旋源程序
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0 w' M ]# ?: [8 ^, o" w; c代码:2 L: k$ W6 [# ]" G
(defun errMsg (s) c# e6 L& c0 D, } e; y
(if (/= s "function cancelled") (princ (strcat "
) s% w% C. u. B: aError: " s)))
' G+ v9 e5 o! b& Q' V; 当命令执行时出现错误
3 x+ N& T! n, v, X. ~) d( J# `$ l(setvar "cmdecho" ocmdold) ; 例如用户按下了CTRL + C
$ H& k6 b) R8 ^8 b* ^+ i, d(setvar "osmode" osmold)
, `8 m" X% \8 N7 A7 j+ |* N! N(setq *error* olderr) ; 恢复旧的错误处理$ e [4 J# k0 t5 M& g f
(princ)
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(defun c:3Dthread (/ radouter threadpitch threadlength threadangle
8 Z9 P9 L+ E- |2 n4 d2 iptStart innerdiafactor radmid radinner ocmdold osmold 4H 5H 6H h6 g6)$ j+ j- D8 I0 Y/ c% z! `5 ]
;-------------------------------------------------------------------
0 _" ?8 g3 b9 w, m; 获取公制外径大小、螺距总长3 ^6 n+ Q9 R! t4 U) E$ Q
; 然后计算一系列几何点$ G' ?$ ]5 V7 a
; 并且关闭对象捕捉、命令回显$ o8 N) E4 j* w, U) Q) u$ y
;-------------------------------------------------------------------$ c Y Z* r( e0 }
(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))
B) R$ q- e8 o/ 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))
' S! X8 l- `7 R(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)) ) e/ S! n) u( X; ^2 B
(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)) . Q* t! w3 V+ f2 P
(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)) / n _% S' M& X) L4 i+ s1 Z
- e8 w9 b: ]3 F& [0 A(setq osmold (getvar "osmode")) ; 保存调用前的osmode系统变量值- V2 G- b% ~4 Q, q& A: M5 p
(setq ocmdold (getvar "cmdecho")) ; 保存调用前的cmdecho系统变量值
# m1 ?2 H$ x& R- P3 @6 a) q, |2 U9 J(setvar "osmode" 0) ; 关闭对象捕捉
. f# v6 M/ `3 T6 ?3 H, Z(setvar "cmdecho" 0) ; 关闭命令的回显
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% |: a' y% n0 h6 k) }(setq innerdiafactor 1.5) ; 设置内径系数
. `6 P4 G1 _2 A0 i, M3 g1 ?; Z) y(initget 7) ; radmid 必须非零、非空、非负: }, f6 F# p) T
(setq radmid (getdist "- Y& I( v9 k6 P
公制外径: ")) ]8 D! l* k$ j6 K' u j4 m
(initget 7) ; threadpitch 必须非零、非空、非负" D3 F) |1 v+ \% ]
(setq threadpitch (getreal "+ j% I: S0 R% {) ?4 K7 Z; g' B2 s
螺距: ")): C W0 {( F' k; `
(initget 1) ; ptStart 必须非空
! B" t0 r: g( I- ~2 m9 E(setq ptStart (getpoint "7 }+ A, o- O/ D% K
起始点: "))$ D$ a( }$ x( Q/ ?" b. E& t
(initget 3) ; threadlength 必须非零、非空、非负! Q3 S4 \- o5 y+ {
(setq threadlength (getdist "
/ z8 O$ b' I! ]螺纹总长(Y方向): "))+ d$ }$ a0 Q3 E1 B. C. }
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; 对公制外径添加公差
& J* |) O" y" A, _(if (<= radmid 3) (setq order 0) ; 根据公制外径确定公差带中位置& b& a' I1 R6 F4 m. ]' e
(if (<= radmid 6) (setq order 1)3 k) g2 ]7 ?) d# W
(if (<= radmid 10) (setq order 2)
0 [7 E; {3 B8 u(if (<= radmid 18) (setq order 3)
3 I8 r! A5 ?7 V2 P(if (<= radmid 30) (setq order 4)
" {/ E3 p: r5 l) Z3 u+ n" J(if (<= radmid 50) (setq order 5)
e; |0 u& b" X! I(if (<= radmid 80) (setq order 6); D% U" Q9 i% W5 y$ x, l
(if (<= radmid 120) (setq order 7); _8 e. l+ u8 ~( _- k- T
(if (<= radmid 180) (setq order 8)# x8 ^" q- O# w; v) E
(if (<= radmid 250) (setq order 9)2 j- x' d$ N* M0 T' t, h/ Z+ b
(if (<= radmid 315) (setq order 10)
! { t" S I" U: R# l+ R: Z(if (<= radmid 400) (setq order 11)$ V( ?+ H+ E9 J# y
(if (<= radmid 500) (setq order 12)/ G% {2 `9 ^" P, j) E' `
)))))))))))))
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$ O5 {" l. v0 O; b4 L; z, J(if (< threadpitch 0.25) (setq radmid (+ radmid (nth order 4H))) ; 根据螺距确定公差带6 H6 d3 r' X: N6 P# |0 D" X+ I
(if (< threadpitch 0.35) (setq radmid (+ radmid (nth order 5H)))1 i. p1 p( h1 l+ U
(if (>= threadpitch 0.35) (setq radmid (+ radmid (nth order 6H))); W8 K6 i' ~1 b( q- V/ R) }5 u
)))( b$ r0 @9 ~9 `- }* l4 ?
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(setq h (* 0.866025 threadpitch)) ; 计算齿高& O& n- ]* C0 F$ O' |: l- S/ x/ }) g
(setq radouter (+ radmid (/ h 4))) ; 计算外径3 @" I; c7 M1 J* E8 m
(setq radinner (- radouter (* h innerdiafactor))) ; 计算内径( p- w$ D0 I6 `3 U% S3 g; ^% L, {
(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2 x1 j$ G+ } g p
v: a) }) q- T/ q(princ "- l# ?' ~) s( x' ]
三维螺纹创建完成")1 O2 M9 j+ k' h4 J- w# I7 X- j
(setvar "osmode" osmold) ; 恢复调用前的osmode系统变量值) v1 i0 U+ W9 L/ I* a: m( e& a
(setvar "cmdecho" ocmdold) ; 恢复调用前的cmdecho系统变量值
0 t1 C& ?; H! e2 F) {( ?(princ)
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(defun auxithread (radouter radmid radinner threadpitch threadlength threadangle ptStart / ttal pt1z ang pt1a" Z3 t5 g' Y- N7 T: z, H
pt1az pt3a pt1b pt1bz pt3b pttmp1 pttmp2 pttmp3 pttmp4 pttmp5 pttmp6 pttmp7 pttmp8 pttmp9 pttmp10 pttmp11 pttmp12 tstmp startcone endcone)
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4 G0 {; C" _) Z% \;(command "undo" "begin") ; 开始undo步骤
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(setq ttal (+ (fix (/ (abs threadlength) threadpitch)) 3). j$ [0 Q4 Z8 E* t" I8 D
pttmp1 (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (caddr ptStart))# y" h- w" @, Z9 G/ ]
pt1z (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (+ (caddr pttmp1) 1.0))
( F3 p& y1 U1 w: z$ \6 j2 ]pttmp2 (polar pttmp1 (/ (* threadangle pi) 180.0) 1)* z" o0 `6 B" X: L- F
pttmp3 (list (+ (car pttmp1) radouter) (+ (cadr pttmp1) (/ threadpitch 2.0)) (caddr ptStart))# K/ ~* r; D b/ w2 W7 ~% a/ k
ang (angle pttmp1 pttmp3)6 H8 ]7 p2 S! P. ~6 P+ U
pt1a (polar pttmp1 (+ ang (/ pi 2.0)) threadpitch)
7 r$ D# C1 n' k; ~pt1az (list (car pt1a) (cadr pt1a) (+ (caddr pt1a) 1.0))% C- B' ]( \+ T% J8 R- i- e7 |7 r
pt3a (polar pt1a ang radouter)
" \, B+ q# _4 M3 n+ | Vpt1b (polar pttmp1 (- ang (/ pi 2.0)) threadpitch)
- H* n) H8 d" }1 Ypt1bz (list (car pt1b) (cadr pt1b) (+ (caddr pt1b) 1.0))4 u" p7 u# ~ Q- S/ j: h2 Q: X
pt3b (polar pt1b ang radouter)' d0 {# ~5 v, n5 h4 p
pttmp4 (polar pttmp3 (/ (* (- 180 threadangle) pi) 180.0) 1)# J3 b5 E0 o9 G+ e
pttmp5 (inters pttmp1 pttmp2 pttmp3 pttmp4 nil)
7 j; y( g- s' R' N% V, N9 Vpttmp6 (list (car pttmp5) (cadr ptStart) (caddr ptStart))
% M' o- P; |) P) l6 W* _" cpttmp7 (polar pttmp1 (/ (* (- 360 threadangle) pi) 180.0) 1)8 \2 p! ]4 c: a# e) n/ e' z8 Z
pttmp8 (polar pttmp3 (/ (* (+ 180 threadangle) pi) 180.0) 1)
8 ]% g5 k; ?# W+ h k9 l' Upttmp9 (inters pttmp1 pttmp7 pttmp3 pttmp8 nil)
+ H- S; Y4 x d, O. F0 xpttmp10 (list (car pttmp9) (cadr pttmp3) (caddr pttmp3))
' }8 v8 y o9 H* ^( p, Opttmp11 (polar ptStart (/ pi 2.0) threadpitch)
6 f( j+ Q4 f# [9 i) g2 T* Wpttmp12 (polar pttmp11 (/ pi 2.0) (abs threadlength))* x' A7 P. Z" |; I6 z7 R4 ?
)
+ p% l; e( U3 h$ L, |6 g6 y4 a6 q% S0 Q* l: q+ z$ B
;-------------------------------------------------------------------
4 D3 Z8 H \4 m. u6 `% u; 绘制两个倒置的并偏移1/2螺距的圆锥
3 d( J+ K$ ?4 s2 O% c; 这两个圆锥都以中剖面剖分
# l" D/ W1 o8 p6 x% _4 b) @: F; 进行并集运算
' r( k- r- } }8 g& x;-------------------------------------------------------------------
+ s J! j- }* e7 n! u; j
3 C$ G9 [" k t# H2 l g(SETQ startcone "order")) X3 P+ t, x9 `' K9 e: l' g/ _& N
(SETQ endcone "Y")
4 K' _# X6 }! M! e/ O! C5 y(command "zoom" "w" (list (car pt1a) (+ (cadr pt1a) (abs threadlength)) (caddr pt1a)) pt3b); g3 P9 o$ g$ c7 h3 V: l: S+ h
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(princ "
" c9 B" }7 g4 q: n正在绘制三维螺纹,请等待")5 @$ t" S S4 m/ E
(command "pline" pttmp1 pttmp5 pttmp6 "c")7 B# m2 L1 i& f0 F/ m
(command "revolve" "l" "" pttmp5 pttmp6 "")
8 G" q9 H$ ^* }+ q/ s(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp5) `9 _; E% Q5 R# {, c" d
(command "slice" "l" "" pt1a pt3a pt1az pttmp3)
+ F( t" t' u- D(setq tstmp (ssadd (entlast)))
+ l: b' j% x8 y* n N* C3 B3 q(command "pline" pttmp3 pttmp9 pttmp10 "c")
\ L; Y# N" K6 [, j0 @(command "revolve" "l" "" pttmp9 pttmp10 "")
4 s" y! R9 O2 z" f1 V% R/ m. Y# }(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp9)
: g( i6 P% } g2 ?4 |(command "slice" "l" "" pt1b pt3b pt1bz pttmp3)1 S& U4 C( D5 [- T; I r3 Z* l; T/ U
(setq tstmp (ssadd (entlast) tstmp))% u, {9 X( Q; _5 `
(command "union" tstmp "")
) R2 ^' D+ I E& A7 q" ^
5 L5 {- M$ N1 `;-------------------------------------------------------------------
/ [( N* T+ x$ T4 S, s$ x# ^ E; 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" H: Q/ S' @% G+ m3 T! n6 @
; 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/ C$ v [3 M7 x) z6 h
; 在最后一步被切除
0 ~) c1 A1 {: }1 N8 u' p j7 _;-------------------------------------------------------------------
J( r" x" n! S6 C; g. N5 m
6 w# O, F$ V' j* \' Y$ ]1 n1 j% |1 l! c(command "slice" tstmp "" "xy" ptStart "b")9 E$ x0 Z9 ^ u# d& C- M2 j
(setq tstmp (ssadd (entlast) tstmp))
9 r% }# I: J6 E. E9 g(command "mirror" "l" "" pttmp1 "@10<0" "y"): g8 |* L9 q+ E8 S' b: C
(command "union" tstmp "")
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- j6 S) a+ m% r, F- u: x( z;-------------------------------------------------------------------- l# f& m3 v4 k7 v4 r5 H% r) V! Z6 V
; 螺旋进行阵列操作,然后再作并集(可能会耗费一定时间)
: B, z! i7 k, @/ {; 得到的实体再切除到指定的螺旋高度* s+ T% J5 L6 n: c! \' D
;-------------------------------------------------------------------0 e, x* Z9 x) |2 R5 K& e! G
% B4 m8 M. e8 q) e8 J' O(setq e (entlast))
$ I$ w- O# a% j! H4 V% Y(command "array" tstmp "" "r" ttal 1 threadpitch)
0 w. k: e! R4 C, |* O5 `- G(repeat (1- ttal)
# @& M3 H9 @. \( f) q& F. {" |(setq e (entnext e)3 m) ^0 g# I2 \1 w% H
tstmp (ssadd e tstmp)+ h9 D; [# V3 w( g
)
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(command "union" tstmp "")5 L$ V- l/ a3 d7 n
" {9 h3 |2 A) |- z, C6 C
; 若开始创建45度的圆锥+ U7 o* i+ t s. F6 f7 V" ^+ {
(if (/= startcone "order")5 ^& S! X( S) Y/ ]! w: F
(progn (setq e (entlast)). a8 h& d) @' G( _0 X
(command "cone" (list (car ptStart) (+ (cadr ptStart) threadpitch) (caddr ptStart)) "d" radmid "a" (list (car ptStart) (+ (+ (cadr ptStart) (/ radmid 2)) threadpitch) (caddr ptStart)))8 g4 Z1 l! m$ Q
(command "union" "l" e "")
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)
; w3 s4 g+ y- @/ k! X
' f) B y! q* E& T3 d4 l* ](command "slice" "l" "" "zx" pttmp11 pttmp12)+ e6 @ `7 v5 g
(command "slice" "l" "" "zx" pttmp12 pttmp11)/ w% \( O( N. K
(command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) threadpitch) (caddr ptStart)))
5 Z( s$ f" p8 J- c
' b, {% @7 J; R5 a% [7 C2 j; 创建最小直径的圆柱体,然后与螺旋作交集+ c G3 ^# z* n N% ?
(setq e (entlast))5 p! F+ b9 S# i$ K0 g" E8 f$ @% e
(command "cylinder" ptStart "d" radinner "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))9 x( K) k) U4 f- b6 A8 p
(command "union" "l" e "")! s! F! f' A# o( N1 ~6 x
(setq tstmp (entlast))+ u6 @+ G/ }; C
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; 创建中空的圆柱体
8 w# Y- D; U# N* ~(command "cylinder" ptStart "d" radmid "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart))) ; minor dia' Z& q" O* U' |$ @% ?. Q
(setq e (entlast))! r' M5 x* ^- y9 d3 R+ K# T
% d0 a" t0 k, K. T& Q; 若最后创建45度的圆锥
0 l5 n% ^, e2 p0 l2 v9 i! b(if (/= endcone "order")0 W0 ~& [: Y: a; ?
(progn (command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) (/ (- radmid radinner) 2)) (caddr ptStart)))
0 C p, O( l' B+ V+ ]. Y(command "cone" ptStart "d" radmid "a" (list (car ptStart) (+ (cadr ptStart) (/ radmid 2)) (caddr ptStart)))
3 x$ D. ^- R9 q% b8 g2 M& q(command "move" "l" "" ptStart (list (car ptStart) (- (+ (cadr ptStart) (abs threadlength)) (/ (- radmid radinner) 2)) (caddr ptStart)))# i& U( b; R4 @4 r
(command "union" "l" e "") - r. L' l5 t( _* i1 j' E
(setq e (entlast))
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)
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- o; L& J5 a# o# Z' r5 d; 从大圆柱中减去小直径圆柱; M3 J: q/ P) ^4 r# l5 C
(command "cylinder" ptStart "d" (* radmid 1.5) "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))
; c9 Q+ }( w, M4 V(command "subtract" "l" "" e "")+ [2 U8 n1 @: b1 W! w
(setq e (entlast))1 _/ j$ |. H5 ]3 t! E! _
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; 从螺旋中减去圆柱
; t% Z) Q8 W) O: K(command "subtract" tstmp "" e "")
, }$ L/ s6 y( m& o/ \0 h" h: R8 k T; k/ N3 ^/ _
; 如果螺旋长度为负然后镜像) C$ \1 n' _' m
(setq e (entlast))
( x* R; {& O, O, _" c(if (< threadlength 0) (mirror3d e "zx" ptStart "y"))* T9 c8 Q) j8 M! J5 ^3 j0 L3 r
" z* T# e& ?! _% P$ {
(command "zoom" "p")) N3 p2 U7 u, ^% L* j! f) C
; (command "undo" "end") ; 结束undo步骤
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) j% x1 |% j; k& u: K) m;;;---------------------------------------------------------------------------------------------------------------------;' j' r0 w7 t+ ]8 S+ r! e$ ^
(arxload "geom3d" nil)' R W3 A; I( j+ @6 T5 }7 Y
(princ "
0 B( d- b) d5 [( a, w3DThread 已加载。 ")3 G; k3 \# i8 K7 z; m
(princ) r; [2 L+ q" M
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! a1 P" w* U- y' ~) u9 `$ W! Z三、弹簧源程序 |