齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开$ d* h6 R' `' P
) K4 Z! _2 B3 {' m2 y% L! Z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$y)P4[-Q
8 }, l2 o0 S9 R h一、齿轮轮齿渐开渐开线
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4 ?" [! G/ a/ Y5 s: Q- o[复制到剪切板] [ - ]
+ M7 ?7 ~: n# K, n& W, C* f. G+ h. r: I代码:
1 k3 z! R. r4 ~ H4 k* b+ D N(defun c:gear(/)6 ]* j; x( n q: Z" v
(, h6 E& r' q2 z
setq5 h4 P& l+ O1 S' q' u
p0 (getpoint"输入齿轮中心p0: ")
) w# M3 w& s7 i. E& f, Ym (getreal"输入齿轮模数M: ")0 ?/ n, U& B' o( _
z (getint"输入齿轮齿数Z: ")" J: E3 E/ r+ P' T
ha 1! h! _- @2 W: E
c 0.25; U8 B( D6 P( \
a (/ pi 9)
- P! P. `3 K7 N0 \0 D% P6 n: Ara(/ (* (+ z (+ ha ha)) m) 2)
( Q8 ^& G" ]4 V1 h8 u4 t& k% Frf(/ (* (- z (+ (+ ha ha) c)) m) 2)
7 f) Z; j2 U& n, [6 er(/ ( * m z) 2)4 M& k' r ^5 ^* Y* L
rb ( * r (cos a))
' p% @, {$ c8 A! P) e+ ]ri rb
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g (polar p0 ang rb)
+ m! {6 [' O& P* B5 D% y)
( R ^6 e& l! B Q1 {/ U/ ?8 G$ J(command "circle" p0 ra)
C6 c" S! i5 S s `(command "circle" p0 rf)
5 S$ _6 K, S: [5 |(command "circle" p0 r)4 O0 @" i6 D* W% `, |6 [, s# [
(command "line" g)* ?" f# H# h) ?" e2 ^0 J# M2 i
9 [$ H( Q, b% f: f(while (< ri ra)
0 M& b! Y! ^0 Z! A(setq
7 X+ M- A+ f( N+ ]# X3 k9 v0 Vang ( + ang(/ pi 360)) y J3 |0 R$ w e! t: v
ri ( / rb (cos ang))+ u: I1 J1 a- `; q4 \: @$ F
cta ( - (/ (sin ang) (cos ang)) ang)8 m% j4 ~" ^1 X$ V f, H! Y% |4 q* }
g(polar p0 cta ri)
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- ?4 f L4 G' m4 o$ E9 X
(command g)4 o' R0 F+ ? q
)
( ?+ n7 ^ g0 q, K7 n(command )
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/ U. Q$ W) V2 H% ^3 B- g6 K二、螺旋源程序
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[复制到剪切板] [ - ]) \" I G3 n9 L/ r1 z& o
代码:
/ h3 }- N6 q$ x; D: M1 N- T* o. |3 z(defun errMsg (s)
1 d* g4 t4 I/ `5 q5 C(if (/= s "function cancelled") (princ (strcat "9 s% d1 P& N" `" K, \4 r, I
Error: " s)))
+ h+ L% G5 } x/ Q# ^- {2 i. L; 当命令执行时出现错误' T/ u- Y4 S" f
(setvar "cmdecho" ocmdold) ; 例如用户按下了CTRL + C& T8 V; s; V+ U& N# p- Y9 ^( \ ~
(setvar "osmode" osmold). D5 ^+ x1 [8 d
(setq *error* olderr) ; 恢复旧的错误处理" w' |4 I8 A9 r, O! I* e8 l
(princ). N5 ~ N6 i- ^6 o; Q+ K s
)
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(defun c:3Dthread (/ radouter threadpitch threadlength threadangle
* r9 L; ~7 n& _- w EptStart innerdiafactor radmid radinner ocmdold osmold 4H 5H 6H h6 g6)
) E2 D N2 g) q, I! I;-------------------------------------------------------------------
, k8 b% k3 C$ n# @( B8 o& q; 获取公制外径大小、螺距总长. M# Z9 |1 f7 [, |/ z/ t& R
; 然后计算一系列几何点
6 c! I6 z) g' j; 并且关闭对象捕捉、命令回显; A& c! B9 `- u. Q. o- P
;-------------------------------------------------------------------8 j, x) O! |4 [& M0 a. Y
(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))
+ L9 m! E8 x: q. _, ], i(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)) . y; [$ R: D4 O
(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))
% C2 P0 J3 C- @- {- \# o" P(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)) ) J4 ?5 S5 o" m8 R; ~* l
(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)) 9 g5 l2 j- ~* B/ k# n) |9 V6 x' v
$ }( `1 U/ T: \% g
(setq osmold (getvar "osmode")) ; 保存调用前的osmode系统变量值) L. H/ n7 j3 h# I* F( L0 ]. L: Y( j
(setq ocmdold (getvar "cmdecho")) ; 保存调用前的cmdecho系统变量值
( J4 ?$ E# j$ v(setvar "osmode" 0) ; 关闭对象捕捉
( A3 C" y" e H% q$ V# @" F(setvar "cmdecho" 0) ; 关闭命令的回显
/ c5 h+ |' N1 i4 T; c, Y" B3 S4 g# t" n% M l3 K" @" s
(setq innerdiafactor 1.5) ; 设置内径系数
M) X2 Z4 s% p& L5 }/ L(initget 7) ; radmid 必须非零、非空、非负( [8 f o7 ]4 p b3 V+ n
(setq radmid (getdist ": Z+ q. O! o* w2 N Q
公制外径: "))" _1 z- G% {8 c7 t
(initget 7) ; threadpitch 必须非零、非空、非负
! O* n6 P& p; E4 c/ Q(setq threadpitch (getreal "
3 j, L; e9 l5 F/ V8 b螺距: "))
& }" ~% n( `2 i$ ^: [4 y(initget 1) ; ptStart 必须非空# _7 @. ^) ~) c! ~
(setq ptStart (getpoint "
9 l! a% Z' s+ u起始点: ")); ?2 j8 b& O; G- ]
(initget 3) ; threadlength 必须非零、非空、非负
0 i e. s+ c, W/ W$ l: w(setq threadlength (getdist "$ p D7 Y; K7 p6 X
螺纹总长(Y方向): ")); N8 J) B }6 l+ M, U+ Z, ?
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; 对公制外径添加公差5 v" b% r* o% T+ V' m
(if (<= radmid 3) (setq order 0) ; 根据公制外径确定公差带中位置% c' W; s% }+ i
(if (<= radmid 6) (setq order 1)+ L, I2 g0 \3 }8 z
(if (<= radmid 10) (setq order 2)& u3 g4 E- _% m; O" S- B
(if (<= radmid 18) (setq order 3)
o9 V% g4 f1 g1 X5 G/ D(if (<= radmid 30) (setq order 4)
" D; b2 q+ ?8 {(if (<= radmid 50) (setq order 5)2 i: H8 ~/ K8 L+ m7 u% R
(if (<= radmid 80) (setq order 6)
9 b5 i6 x Z& n7 ^2 h(if (<= radmid 120) (setq order 7)( P5 J% c9 B7 [$ U5 ^
(if (<= radmid 180) (setq order 8)7 p3 `8 [1 p& o. d7 M7 w* J
(if (<= radmid 250) (setq order 9)
L( O5 [% E. Y(if (<= radmid 315) (setq order 10)- J. W# q7 C$ \
(if (<= radmid 400) (setq order 11)0 x8 r1 L1 q/ G. Q4 K
(if (<= radmid 500) (setq order 12)
3 Z& l& j: r& i)))))))))))))
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0 f" ^9 L u& `# ]( A* D8 ?. c(if (< threadpitch 0.25) (setq radmid (+ radmid (nth order 4H))) ; 根据螺距确定公差带% m' L( F6 G: V7 G6 Y% f
(if (< threadpitch 0.35) (setq radmid (+ radmid (nth order 5H)))
5 J, `/ P3 |2 T" i% [& ?+ K(if (>= threadpitch 0.35) (setq radmid (+ radmid (nth order 6H)))' W/ `" z! n6 M
)))
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(setq h (* 0.866025 threadpitch)) ; 计算齿高6 N8 U% Y3 W0 ^4 D
(setq radouter (+ radmid (/ h 4))) ; 计算外径
- c0 X g! S* w- ^. ~(setq radinner (- radouter (* h innerdiafactor))) ; 计算内径 m. D$ {2 U l9 e0 y
(setq threadangle (+ 30 0)) ; 计算齿顶角9 q8 x4 s' o, d, m8 I
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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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(princ "
1 C( @* o) Y. A& j0 K' ?9 j) O( f三维螺纹创建完成")
+ B+ ], b1 f: ^0 {9 F; C4 J(setvar "osmode" osmold) ; 恢复调用前的osmode系统变量值+ ^3 M4 F. ^/ b
(setvar "cmdecho" ocmdold) ; 恢复调用前的cmdecho系统变量值
" R H- J) s' u" S. M(princ), r- L1 k# N6 }3 y" U
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; z& O$ {- [$ o6 } v, z0 Q0 A(defun auxithread (radouter radmid radinner threadpitch threadlength threadangle ptStart / ttal pt1z ang pt1a
X8 r% R& C/ ^. O Zpt1az pt3a pt1b pt1bz pt3b pttmp1 pttmp2 pttmp3 pttmp4 pttmp5 pttmp6 pttmp7 pttmp8 pttmp9 pttmp10 pttmp11 pttmp12 tstmp startcone endcone)
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h# V0 R3 ]3 g. V' a! A;(command "undo" "begin") ; 开始undo步骤
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(setq ttal (+ (fix (/ (abs threadlength) threadpitch)) 3)
% d3 b6 Y9 S" E9 e* _- D S5 Tpttmp1 (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (caddr ptStart))( n( r& u3 Z+ K1 O
pt1z (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (+ (caddr pttmp1) 1.0))" F4 M; k! G; s& A K+ W$ h
pttmp2 (polar pttmp1 (/ (* threadangle pi) 180.0) 1)5 h% p5 s9 H3 q, ~/ F5 b2 k: L
pttmp3 (list (+ (car pttmp1) radouter) (+ (cadr pttmp1) (/ threadpitch 2.0)) (caddr ptStart))+ o: V9 N4 z7 X. Q/ Y6 R; Z
ang (angle pttmp1 pttmp3)) Y* g0 V: J' n8 F% w
pt1a (polar pttmp1 (+ ang (/ pi 2.0)) threadpitch)( E2 N. I& U4 x5 s
pt1az (list (car pt1a) (cadr pt1a) (+ (caddr pt1a) 1.0))* l3 t8 M: T) l# Z& u
pt3a (polar pt1a ang radouter) f: D7 { a0 Y
pt1b (polar pttmp1 (- ang (/ pi 2.0)) threadpitch)
/ M# ]1 U C6 P" z% h+ [pt1bz (list (car pt1b) (cadr pt1b) (+ (caddr pt1b) 1.0))
" R4 X8 J# b6 Y0 t2 P( a8 T% zpt3b (polar pt1b ang radouter)' P% c" P# S& c
pttmp4 (polar pttmp3 (/ (* (- 180 threadangle) pi) 180.0) 1)
. ?# R# P# H5 ^9 Z( F) Qpttmp5 (inters pttmp1 pttmp2 pttmp3 pttmp4 nil)
7 t$ L8 W9 E3 D% J, W4 Lpttmp6 (list (car pttmp5) (cadr ptStart) (caddr ptStart))1 f0 n9 |$ a$ C, W( K3 f# Q: k
pttmp7 (polar pttmp1 (/ (* (- 360 threadangle) pi) 180.0) 1)/ W) Z) _/ H1 k+ R4 _# x
pttmp8 (polar pttmp3 (/ (* (+ 180 threadangle) pi) 180.0) 1), G: s9 r: l% k& l5 E
pttmp9 (inters pttmp1 pttmp7 pttmp3 pttmp8 nil)
4 l! R7 L S h; K3 B0 W$ {8 x+ Ipttmp10 (list (car pttmp9) (cadr pttmp3) (caddr pttmp3))
5 e8 L w) E! Y- N, ppttmp11 (polar ptStart (/ pi 2.0) threadpitch)7 L; s/ c; Z+ a# `, Y
pttmp12 (polar pttmp11 (/ pi 2.0) (abs threadlength))% W, {0 P# x0 r+ X. Y
)+ E; ^6 f6 F* V, A+ a5 ]
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;-------------------------------------------------------------------; e9 r/ q$ t& f2 r$ K; S: a6 L
; 绘制两个倒置的并偏移1/2螺距的圆锥
8 S. |# e$ b; a0 T, l! D; 这两个圆锥都以中剖面剖分
! o4 R4 U2 A( Y4 F+ G3 a; 进行并集运算3 M2 o. W0 z' U' o
;-------------------------------------------------------------------
; r- S8 q) N7 f/ H* s1 l0 R( x# _6 K, G& @' b0 v2 g; V; j1 K
(SETQ startcone "order") j9 c( \8 _" ^* [* M
(SETQ endcone "Y")
. w% h5 {( V/ w+ ?$ x( d$ M6 n(command "zoom" "w" (list (car pt1a) (+ (cadr pt1a) (abs threadlength)) (caddr pt1a)) pt3b)1 Z* J! A* w( I
6 @( v% ^! y' z) L7 g) B(princ "
7 q( z6 {2 U& u; L6 Y, R正在绘制三维螺纹,请等待") l, a$ O0 \! s+ P) x# G! @, c8 p+ t
(command "pline" pttmp1 pttmp5 pttmp6 "c")6 l$ Q' C. z! c* z! H
(command "revolve" "l" "" pttmp5 pttmp6 "")
0 I/ k$ H- f8 Z(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp5)
: d3 Z# a! ]. A6 f(command "slice" "l" "" pt1a pt3a pt1az pttmp3)4 g9 B' I4 r/ e6 r
(setq tstmp (ssadd (entlast)))5 w. m D9 R- |. E6 ~& m: Y
(command "pline" pttmp3 pttmp9 pttmp10 "c"): M P3 N e+ I' i! n
(command "revolve" "l" "" pttmp9 pttmp10 "")
2 C9 i% }) g5 Z(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp9)
N2 U% _" _' q# A9 O1 E(command "slice" "l" "" pt1b pt3b pt1bz pttmp3)
. d" J- y; V/ t(setq tstmp (ssadd (entlast) tstmp))
: P4 G& `; _% n7 ~(command "union" tstmp "")
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; j9 \. e$ S- G* n! G;-------------------------------------------------------------------( d3 c: E' t" ^! ?
; 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
0 ]( j. Z" ]% m. Q8 u) H/ z; 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
5 Q: J6 \+ s( w9 q; 在最后一步被切除+ F3 [& J E) m% q4 ^
;-------------------------------------------------------------------- Y( M1 \* R6 [* p9 R% n
! E; m9 L7 a/ v5 }0 B(command "slice" tstmp "" "xy" ptStart "b")
+ r+ X5 _* v% k g. q(setq tstmp (ssadd (entlast) tstmp))
7 h7 u$ D9 m/ [# u+ q(command "mirror" "l" "" pttmp1 "@10<0" "y")/ y x" S: T) B3 @: v
(command "union" tstmp "")& Z! S; m" |. y) E
/ O$ v. W* F" ?1 l;-------------------------------------------------------------------" U) S$ \0 T2 x' c& e: B
; 螺旋进行阵列操作,然后再作并集(可能会耗费一定时间)
; o$ w4 R& O! U. l! j% _. `; 得到的实体再切除到指定的螺旋高度9 N6 m8 s+ M2 w( b J* D( D
;-------------------------------------------------------------------
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(setq e (entlast))* B4 B& N8 b* e9 ~' Y5 }: E5 @
(command "array" tstmp "" "r" ttal 1 threadpitch)
8 i; L/ q# H1 ]3 T& u0 `# m" Y(repeat (1- ttal)% R+ Y, r" N% I! A1 x. N0 N
(setq e (entnext e)
" y) [7 L7 l5 V9 j! o& Qtstmp (ssadd e tstmp)
h# a U+ P* o0 B)
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(command "union" tstmp "") m2 [% B( d3 T6 j9 _) v
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; 若开始创建45度的圆锥: `, [ ?, [4 V7 k$ { E
(if (/= startcone "order")
, u* x4 d8 U. S- c(progn (setq e (entlast))
5 }: O$ k' W d( @(command "cone" (list (car ptStart) (+ (cadr ptStart) threadpitch) (caddr ptStart)) "d" radmid "a" (list (car ptStart) (+ (+ (cadr ptStart) (/ radmid 2)) threadpitch) (caddr ptStart)))
- V/ Q" R( x. m, x) | W(command "union" "l" e "")) p. W7 G% U: Q9 B, @6 y
)/ p6 Q4 s+ |4 S! Z
)( q) F% N9 c. K3 E+ l
- h6 U& s, W3 R: J% Z(command "slice" "l" "" "zx" pttmp11 pttmp12)
% J6 b9 O2 c+ x! r$ N(command "slice" "l" "" "zx" pttmp12 pttmp11)
% j- a \# [6 p; @: \(command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) threadpitch) (caddr ptStart)))
% G- s( K ^2 V2 T3 _5 Y6 b2 h- G2 H
; 创建最小直径的圆柱体,然后与螺旋作交集& x% @4 I9 b# X) }2 \% m ^% ^
(setq e (entlast))! G8 L+ `9 L6 ^( O0 q) k1 J6 M5 i# s
(command "cylinder" ptStart "d" radinner "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))
, E V7 ?( E2 ^8 s' h8 l( t(command "union" "l" e "")
/ v4 o. p- O$ q/ r; y4 b(setq tstmp (entlast))' K: g9 u$ D4 E7 K# y, L0 d/ q0 @
f7 k8 l4 l4 B; 创建中空的圆柱体
! A( r, z3 I, c$ d$ Q2 h# H2 B" z- R(command "cylinder" ptStart "d" radmid "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart))) ; minor dia
: Q ]( k5 ], P2 b6 w8 _8 L(setq e (entlast))5 |2 D* k" }- ]
+ J8 \* ?/ A" E) J: X0 W+ P; 若最后创建45度的圆锥2 |: T4 V5 g% _# x8 A
(if (/= endcone "order")
; F# e0 I" E6 L* C2 n(progn (command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) (/ (- radmid radinner) 2)) (caddr ptStart)))
! c8 b A- d3 r/ v(command "cone" ptStart "d" radmid "a" (list (car ptStart) (+ (cadr ptStart) (/ radmid 2)) (caddr ptStart)))
. Z* k0 ~) F; v2 u5 W0 x& V(command "move" "l" "" ptStart (list (car ptStart) (- (+ (cadr ptStart) (abs threadlength)) (/ (- radmid radinner) 2)) (caddr ptStart)))9 M, e! E d* L7 I9 M# ~
(command "union" "l" e "") / a, V- {& \- v; F
(setq e (entlast))
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; 从大圆柱中减去小直径圆柱
* N l0 z7 l% B# R& T& o(command "cylinder" ptStart "d" (* radmid 1.5) "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))
3 D ^, \7 w5 v8 ~7 _(command "subtract" "l" "" e "")
! X& |. k8 s5 T( K" J( l(setq e (entlast))
+ F3 I; g- N7 H0 \! u+ V
! }. E/ @7 }/ q; 从螺旋中减去圆柱/ i( S' I' I9 g U
(command "subtract" tstmp "" e "")
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: O" W( k6 I3 F9 ^3 W; 如果螺旋长度为负然后镜像8 `, B; Q( q# v5 `
(setq e (entlast))
5 g. d' k# G! H- @(if (< threadlength 0) (mirror3d e "zx" ptStart "y"))
4 {& M" N; d. \3 Q6 r6 _+ |; J
4 A4 _9 n7 q5 B. Y+ B7 `& G(command "zoom" "p")
3 A- H {, s/ J( v" H; (command "undo" "end") ; 结束undo步骤
+ h! n- b6 w" |& }/ j" y)$ N" [+ d! q1 G2 I! B3 M* ]
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;;;---------------------------------------------------------------------------------------------------------------------;
8 d! z; k! j3 M1 \4 `, ^0 A(arxload "geom3d" nil)) x' E2 t8 h2 R
(princ "' S5 R+ I v! J+ _! y/ |
3DThread 已加载。 ")
; R1 _. q7 i' c% r0 G& a$ x(princ)/ t. V; z$ f9 p0 \( v
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3 L% M5 Q5 C8 U* Y三、弹簧源程序 |