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[考试] 求助,这是我多年的问题

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发表于 2008-8-25 14:22 | 显示全部楼层 |阅读模式
齿轮上的曲线是不是有个方程式呢,

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发表于 2008-8-25 15:29 | 显示全部楼层
发截图啊。 。下载要社区币的
发表于 2008-8-25 15:49 | 显示全部楼层
没钱下载了,什么问题呢
发表于 2008-8-25 21:08 | 显示全部楼层
以下就是齿轮渐开线的程序代码,唤起命令是“SG" 怎么加载忘了。
" B; D: \# S% p2 k; P: k* v' N1 H;;;begain suprgear.lsp ; B+ ^3 ]. A* ?. S
;************************************************* - J) ]; K' \1 ~
;SPURGEAR.LSP - a lisp program by Tony Hotchkiss ! p4 ]+ N2 I8 ?+ H- K1 i
;------------------------------------------------- ) ^6 Y3 C& e9 j' @6 W5 d
; This routine draws a spur gear using joined ( A$ i+ H1 Q# D0 q4 D! G
; polylines. It lets you use any pressure angle 7 R8 @- @0 A, M5 W% \
; to design the gear teeth. . I/ b2 X& ^7 Z0 y3 X6 N8 T
;*************************************************
7 T" M1 d" \" Y2 ^) G(defun err (s)
4 q! V, R5 \9 g, P(if (= s "Function cancelled")
) S! g6 ]! y* \9 [, T1 \+ c(princ "\nSPURGEAR - cancelled: ")
! x" K- ]  h" O" t; Z0 R' n(progn (princ "\nSPURGEAR - Error: ") (princ s) $ }, R1 Y3 x1 D; E4 p& [
(terpri))
" \  X8 }4 Y; o); if $ f. W# J1 P( P$ M
(resetting)
% m3 q! g! l/ W3 m(princ "SYSTEM VARIABLES have been reset\n")
- }/ l) r% Y; m, p(princ)
1 m2 J+ k4 E1 @- j6 U); err $ t# K5 ?0 G! }3 }  O

+ {2 W4 \7 d& J( M9 Q, l9 D+ ]) ?(defun setv (systvar newval) % D+ |, ]" h- t7 c# x
(setq x (read (strcat systvar "1")))
5 g5 m  j! d' y( b(set x (getvar systvar))
' w' \4 J7 r# P2 N" Q1 W(setvar systvar newval) 7 k9 y! T. \) i  U
); setv 1 \  `% c  l  J0 Y# L
& k6 L% n: {+ h5 ?2 w
(defun setting ()
; P' ~0 A2 _, P9 E) p" h(setq oerr *error*) ; O$ U, J7 }- p  F# n* e' e/ |" M7 C
(setq *error* err) ; O+ O" d' \: L& r8 R8 J
(setv "CMDECHO" 0)
, B* |0 w5 ]" A8 {! B; r(setv "BLIPMODE" 0) 7 @* v- C# }7 e3 d: o5 y# [
); end of setting ; ~4 `+ W7 z! u# H; i% y. @
(defun rsetv (systvar)
6 c3 R+ `- B1 X4 I9 R6 \" D) h(setq x (read (strcat systvar "1"))) 9 i% q5 I' v- d' V" }
(setvar systvar (eval x)) $ M# Y9 p& L( b" C5 Z
); restv
, |7 ?2 Q+ L; D5 v( y2 ?2 y: t(defun resetting ()
3 K3 c; ^; a, ?" e1 \(rsetv "CMDECHO")
$ t# w& u1 G1 P(rsetv "BLIPMODE") # E2 z% a6 {# K2 S" h& d3 N
(setq *error* oerr)
. R: S# v$ f! r* ?" F* G); end of resetting
4 S3 f$ y% y/ j, b0 b! P: s/ M4 Z
$ h' R! x  g/ I(defun dxf (code ename)
/ j* A5 P# _6 l8 p5 x1 d5 G" P$ A(cdr (assoc code (entget ename)))
8 k# \6 {+ f/ \. S" y1 Y); dxf
6 N7 H3 P5 ?; b! |1 A3 q! v" _1 d$ r$ L# h( _1 z5 C" Y) `6 f
(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1   r0 `" R: `8 ]9 ^. t
trimcode invent p0 p curvent linent linent2 ent2 p2) 3 w% R$ s. {4 u" B4 E6 e
(setq D (getreal "\nPitch diameter: ") 1 n* M! l  m- d$ ^8 m
N (getint "\nNumber of teeth: ") 0 p4 l# m- o. p: B" h4 J/ Z7 W
phi (getreal "\nPressure angle: ")
7 E4 i3 a/ e7 L2 e7 B9 D- Qphi (* (/ phi 180) pi) ; Pressure angle
8 \, M% w0 f# i& Y& u: k3 i* E4 D" ^DO (* D (+ (/ 2.0 N) 1.0)); Outside diameter , X4 }+ i" ?# q
RO (/ DO 2.0) ; Outside radius
7 Y0 ?6 |2 {* }" T/ u, \0 YA (/ D N) ; Addendum
( @# {* a- u( M! zB (* 1.25 A) ; Dedendum 7 k, M, X6 X% m8 y, V1 c" T
DR (- D (* B 2.0)) ; Root diameter
. ~3 y6 b0 L0 o# J+ G. W4 w" R! oDB (* D (cos phi)) ; Base circle dia.
3 f  {# w& G0 R" J9 sinv-plst (involute DB N phi);involute points , i7 N' w7 @6 u/ y6 E
trimcode nil ) ?4 X$ H' s2 Z- X4 }7 Q
); setq
5 X1 A  n9 c; Z/ Y* X3 U) ](command "ZOOM" (list 0 (- B)) " e* E: A) n8 h6 A: M* v5 C! }5 _& z! ~
(list RO (/ RO 1.5)) ! h" }9 x) r* S$ e; R( T
); command
; N; Q5 j/ `# J  E0 |( m* i(setq invent (draw-inv inv-plst)); Draw involute.
- Y; X6 u7 G" t4 D4 P(setq p0 (car inv-plst)
4 G' R4 p  ?( B; \- c  d, xtrimcode (ext-trim p0 DR D);trim or extend
. H) J7 M% p# s); setq ; the involute.
# n2 T8 ^- A5 ]! K2 F" u(if (and trimcode (= trimcode 0)) . z2 |# O- L# M
(progn ; Joins the involute to the extension. - R- g0 M4 S2 b! ?3 G2 _
(setq p (list (/ DR 2.0) 0))
4 S3 I1 Z" D, |" a! C+ {# X(command "PEDIT" p "Y" "J" invent "" "X") * d0 d5 ^+ u1 H" w7 T# F
(setq curvent (entlast))
: c0 q8 v) R# F" s! `9 l3 Z+ e% t  z0 X); progn & k2 m4 F' n# k% Z: L" F" g, x
(setq curvent (entlast))
% P- B' x8 Q: n1 O. M' y# M/ I); if
: g- e6 r( s/ s6 p) }(if (null trimcode) (setq curvent invent))
) P, ]% ~# Y6 u- v(setq linent (draw-top-line D DB N RO)); top line.
; |3 r& k5 x( h; g' j2 l(command "COPY" linent "" "0,0" "0,0") 9 G' \& l1 t( W4 J* c, m4 l1 @& d
(setq linent2 (entlast))
, T- c7 x  ^5 N! G. f2 N9 z2 I9 X- ~(setq ent2 (mir-it curvent linent)); mirror curve . N2 z( ]' ^5 h' E
(command "PEDIT" curvent "J" linent ent2 "" "X") / V4 ?: k  n& ]# s
(segment DR N linent2) ; Finish the job!
/ J' f# S+ K9 M1 G4 H9 P3 m/ j(setq p1 (list (- RO) (- RO))) 8 |$ w. V3 N1 j- M# {5 A1 N  y
(setq p2 (list RO RO))
1 x+ O! P5 a( V' h) A) {( n1 w(command "ZOOM" p1 p2)
0 z$ M' W- q% J2 T- N$ t. Q( P(prompt "\nConverting to POLYLINE, please wait...") 1 [$ t3 \% Q# I$ D8 m8 i
(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X") / C2 x9 h! O; I$ m% ]+ T
(prompt "\nAll done!") + T9 i4 ~/ A  B  K! o
); spurgear
2 u3 J0 C+ h& F4 P
3 l2 X& M* J) P/ [% t. j2 g(defun involute (DB N phi / numer denom frac theta2max
* I" X' u# C! w8 p, ^9 s; xthetamax theta-inc theta plist RB xval yval p) / B2 y$ e' b2 E: t/ y5 B) L" u
(setq invfact 3) ' k! ]4 V4 N$ x' V
(setq numer (+ N 2.0) + V! x& Y) J: ]5 V3 `  \) Z1 D
denom (* N (cos phi))
3 J+ g$ o, s- ~" Cfrac (/ numer denom)
) D% m3 J# g2 E% ]& Jtheta2max (- (* frac frac) 1) 9 T7 p# ^0 {/ O
thetamax (sqrt theta2max)
" }/ l* c% h3 s! @theta-inc (/ thetamax (float invfact))
, m5 X& Z* H+ F2 p. E: T+ ztheta 0 2 F8 O- g3 [6 Y8 e5 Z
plist nil
- T. x1 D# o$ Q5 V2 w; ?& `RB (/ DB 2.0) 2 d, v& z; `. r7 ~1 }! x2 A( z, M+ O
); setq / A6 `* W7 q/ ?6 d
(repeat (1+ invfact) * X* |# U; m1 n5 |; M! @1 Y
(setq xval (do-x RB theta) 1 I7 H6 I/ e: o! F3 T4 y: {9 E+ V: `$ [
yval (do-y RB theta) # Y1 s- e) u" R$ }8 S2 K
p (list xval yval) 2 `! K/ l: L7 x/ }
plist (append plist (list p))
: |% W0 y) h4 _  N' R# v0 D); setq
. T& R" s4 z# i, V, ?(setq theta (+ theta theta-inc))
" d- ~  x1 J' p( H$ ~); repeat
; V6 \0 R  j  B: x1 jplist   N  c1 C3 Y% }# q  \
); involute & d" p! t" v  L3 C# o* u

) c2 s( p0 D4 f1 _(defun do-x (RB theta)
6 a9 e, S. z; v' j+ o/ E# e5 s, C- q(* RB (+ (cos theta) (* theta (sin theta))))
' a3 _$ m) _9 J0 I% k); do-x
- f7 F$ g$ g0 ]
, C5 d' e2 I& j; G(defun do-y (RB theta) 7 e3 I! p9 {5 H2 s7 T. Q
(* RB (- (sin theta) (* theta (cos theta))))
+ I6 j$ e, C# L- v# i3 F& q* `); do-y
8 b, ?! U6 {9 w+ P) E: w7 O3 a* z  X7 ?3 n. L* ^3 s* _& X4 [/ Y
(defun draw-inv (inv-plst / dirpt plist p)
% Y# J7 }- G" A(command "PLINE" (nth 0 inv-plst))
: m) D" X; ]) k. a(setq dirpt (polar (nth 0 inv-plst) 0 1)) ( Z& \1 ?' ^2 F" j
(command "A" "D" dirpt)
- p1 Z6 X; v, y7 `5 g(setq plist (cdr inv-plst)) % b' m# D* N- M( F0 O2 v$ _
(foreach p plist (command p))
+ U# B8 Q3 J9 w4 {* v5 A$ a2 F6 t(command "") 0 L7 C3 w. C, `& ^/ J) g8 u" c& b
(entlast)
/ W2 ~  T/ w& {" o( b); draw-inv
+ u/ _9 I7 L' W5 W) H  W  i& o8 b  f0 t8 q1 j+ e
(defun ext-trim (p0 DR D / trimcode dist endr) 1 ?% N/ U8 _1 `$ e
(if (> (car p0) (/ DR 2.0)) ; Extends the involute * `; d2 b' K) v" L( j
(progn 9 u: Z- W% x) j# b4 l
(command "LINE" (list (/ DR 2.0) 0) p0 "") 7 {( z/ D! f: J  k2 @) D4 L
(setq trimcode 0)
/ S. m7 P" a# A' Y& V: h9 x* h7 M); progn
$ j5 Z" C+ u9 ~); if
( S" i# I' h- V6 _: k% B1 ]0 X- `(if (< (car p0) (/ DR 2.0)) ; Trims the involute
& V& U; O+ _* t2 L# ](progn
" \4 V+ n8 |# f( {/ ?2 N(command "CIRCLE" "0,0" "D" DR); Root circle
( ^+ Y7 z2 Y' L8 M1 A3 d(setq dist (- (/ D 2.0) (car p0))) % G. O; s( K) S: w! U2 b& a
(command "ZOOM" p0
2 h4 T9 Z0 d* r, T; t(polar p0 0.6 dist))   J, m& D4 D3 _; O- K
(setq endr (entlast)) " [1 ^8 I! N2 ?  g
(command "TRIM" endr "" p0 "")
# u% T' B% F; x(command "ZOOM" "P") ( B: w* A# u* G) L
(entdel endr)
7 @( l) R  ~# [% R& i' C) P(setq trimcode 1) ; Q3 r8 p$ h2 t3 p, s. i3 i
); progn
, c0 l1 @# H7 w: e); if % ?5 h3 I4 B: Q
trimcode
, C3 |2 v9 H% F7 {! ~7 ?9 F0 s); ext-trim
1 N9 T& M; }  R0 m3 s, Y% Y2 n
5 V' @' {; ?, O(defun draw-top-line (D DB N RO / theta-p xp yp alpha " R1 q0 \: p* K" l5 h* W
beta tang angend inv-endpt lend)
5 K) h: B. J" y8 ]2 h(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0)) 0 g* j3 M1 j) I$ I$ U
xp (do-x (/ DB 2.0) theta-p); This section , w. E0 y, t& \# [- P1 v
yp (do-y (/ DB 2.0) theta-p); sets up angles
3 c) i# B- D! ?+ l; p& `alpha (atan yp xp) ; for drawing a
4 u) k: ]; J2 n8 Qabeta (angle (list 0 0) (last inv-plst)) ! j1 e" f# ~3 M- D: a8 f
beta (- abeta alpha) ; line across the 4 h+ _, S; w# J! ?
tang (/ pi N) ; top of a tooth
+ M2 Z. y4 P0 j% x) W: R) D- a/ Langend (- (+ alpha tang) beta)   J8 H; e' y- i* w/ B2 M- d% f8 J0 P
inv-endpt (last inv-plst); This also creates
9 h6 v3 Z' e- qlend (polar (list 0 0) angend RO); the tooth
3 r& W6 _2 f# q2 i9 t# q); setq ; thickness. + N% b0 K% H) W0 T# d5 O' g: a( t
(command "LINE" inv-endpt lend ""); Draws the line # B( J) h% i6 [/ T- V4 x
(redraw)
' u; U6 g% {8 R& t# G(entlast) 3 J, H0 @( x6 m7 B. I4 P
); draw-top-line
; z' D! i, q0 D( v' P
3 G7 m0 O  K" [' y# o& e(defun mir-it (cvent linent / pt)
9 [/ t. l7 O2 Z) v7 {  x  j- H2 ]/ |(setq pt (dxf 11 linent)) 0 H+ z2 W' \8 ]* D0 R
(command "MIRROR" cvent "" "MID" pt "0,0" "") 7 H  ~3 u! a4 |7 O% r1 ^
(entlast) 6 W5 _' L* q; }( v% e4 S
); mir-it
, `9 j6 E5 z7 l0 B9 [7 E6 }# }( ]) I4 x5 V+ @. q0 P/ E/ a
(defun segment (DR N en / p1 p2 ang dist midp p0 pang
, ]: L" f  k/ m- ^& f' lpang2 p p3 ent3 entl1 entl2 en1 en2) 7 L7 A" Z1 b" ?
(setq p1 (dxf 10 en) ) Z- ?* @: F# m' l
p2 (dxf 11 en)
/ a# C( D3 S/ C1 \0 Z) vang (angle p1 p2) & j/ }/ K% O( Z5 Z
dist (/ (distance p1 p2) 2.0) / ~/ {. I7 a$ i
midp (polar p1 ang dist)
8 C4 a( C5 j) d. o  x% e4 }$ `1 Mp0 (list 0 0) . K4 q# r6 ]. H
pang (angle p0 midp) * j0 w; N( ^1 S& I% D5 I
pang2 (/ pi N) " V6 f" [  K. ]3 a- X( N( k$ a
p (polar p0 pang (/ DR 2.0)) & G" L6 u& H7 }" l& t
p1 (polar p0 (- pang pang2) (/ DR 2.0)) - Z3 O; }3 ~( A# S0 |
p2 (polar p0 (+ pang pang2) (/ DR 2.0)) 4 P, z& Y. h/ t/ S
p3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0)) % H) V2 F- _  O
ent3 (entlast); This is the tooth p-line 9 s) k& w9 M6 C% e
); setq
1 h+ Z! j2 Z7 l(command "ZOOM" "W" p3 p1) / W, a% Q" Y* Z6 [
(command "CIRCLE" "0,0" "D" DR) ;Root circle / \1 y3 R7 o; [0 \( y
(command "TRIM" ent3 "" p ""); Trim the root circle
- d+ ~7 T9 v+ N0 R# r) [# V& C(command "ZOOM" "P")
' z1 v2 M/ w) j" {, \- X: Y(command "LINE" p0 p1 "") % u. z7 X3 o/ s% i
(setq entl1 (entlast)) " X! V6 @# h& l' `0 Y$ k
(command "LINE" p0 p2 "")
! g- e8 s& J& z0 w(setq entl2 (entlast)) 3 S# O- ]+ V3 h$ L$ r
(command "TRIM" entl1 entl2 "" p3 "")
/ w$ }& Q1 U# M' w" \(entdel entl1)
! D4 d- T9 C4 {- Y(entdel entl2)
* b: y. X8 g8 J( t2 @' I; [(entdel en)
. s: s8 ^! C5 ~(command "ZOOM" "W" p3 p1)
. H4 Z3 K7 x2 N. j# R(command "PEDIT" p1 "Y" "X") 1 ]" w( t  d* m( I) Z
(setq en1 (entlast)) + K* p" V: N1 b+ w
(command "PEDIT" p2 "Y" "X")
1 W! D' F5 k. f0 f4 T  v7 ~(setq en2 (entlast))
% b! R4 `7 K4 L. p* z# V(command "PEDIT" en1 "J" midp en2 "" "X")
) N5 G5 C8 O5 ]$ F) F(command "ZOOM" "P") 5 t- ?- M% R8 F) W/ c8 J9 [5 e3 B4 i' Z
(command "ARRAY" p1 "" "P" "0,0" N "360" "Y") ( F5 o+ g$ z! g9 X
); segment - ?7 k2 |' e9 S* B

% }: B( v0 A* t9 y(defun c:sg () + P7 \! J* {; d  j! Q' Z% d
(setting) + g- H7 D( f3 X: ^
(spurgear)
9 r* W, R$ R- b(resetting)
2 ^6 e5 ?( S! P: z" E0 \7 `(princ)
" Y3 h) j: `- Y( ]8 V$ a" }5 k); c:sg + L: S7 i  x( e
/ c' _& i, `) e
(prompt "\n**SPURGEAR.LSP Loaded!") + Z3 K5 {: T$ n# h: P- A
(prompt "\n Enter 'SG' to start") * U$ z+ r+ G- }6 t
;;;end suprgear.lsp
发表于 2008-12-12 15:26 | 显示全部楼层
好,好东西,我顶了,太管用的
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