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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。# Y6 [/ M( @6 p! X; ]5 n% s& {
;;;begain suprgear.lsp - `  E0 o# f4 H' h
;************************************************* , z+ {  s; z0 T+ b7 L2 {
;SPURGEAR.LSP - a lisp program by Tony Hotchkiss
7 w( d1 y& e6 c! O;-------------------------------------------------
3 J2 N3 P& s( E: w% B2 t; This routine draws a spur gear using joined ; i* O& r0 X2 }6 T, o
; polylines. It lets you use any pressure angle + P6 n7 }: K9 T' s
; to design the gear teeth.
/ x( d' H! r, U$ r1 R;*************************************************
& p! h5 d3 E# r1 G' U. _(defun err (s) ( y+ V0 [7 I0 ?" N8 z' Y& L2 h
(if (= s "Function cancelled") / Q" `# V1 }* `
(princ "\nSPURGEAR - cancelled: ")
; d8 @3 `' @$ ?- ~(progn (princ "\nSPURGEAR - Error: ") (princ s)
0 ]$ n) R4 B% d! G' i(terpri))
' u. |4 t% D+ P); if ( Z8 M& k0 q+ d+ l
(resetting)
) H8 M9 w' G6 G. T(princ "SYSTEM VARIABLES have been reset\n") 3 Y, ^3 i/ \% z. a7 s5 s
(princ)
) X* n  `0 L& C, G2 e4 z); err
+ ~. h' h* ^% D0 r: H$ T9 t% I7 }9 E; B+ Z& D: o) r4 i' Y
(defun setv (systvar newval) # Q) E  P9 S0 \  a& L/ k1 W
(setq x (read (strcat systvar "1")))
. Z: |$ W: t9 I/ h9 |% x$ [/ S+ ~- c(set x (getvar systvar)) 5 z; x' m8 E$ z: y
(setvar systvar newval) - _2 i( \# I5 P9 \! ^
); setv
4 @- \7 g: c4 W0 N- d. z
, ^. g3 w7 y; i$ ]4 `  ]" W(defun setting () / F7 S9 {5 r& x
(setq oerr *error*) , b' O1 k* ?) z
(setq *error* err) ( i9 j& q% S8 {. P% {
(setv "CMDECHO" 0)   v* R, B8 v5 E' m
(setv "BLIPMODE" 0) ) H, t5 p% n1 P9 y. L0 i+ d
); end of setting
9 u# Y1 o8 G, c' P1 U2 S! G(defun rsetv (systvar) ( s& S$ s! H* J8 i7 F+ g9 i
(setq x (read (strcat systvar "1"))) , A, l% Y+ u9 d
(setvar systvar (eval x))
, G+ C4 d' X8 H9 z/ H+ a); restv 7 }8 b, v) `" M& K3 ^
(defun resetting ()
. V9 b$ x- s9 k4 m4 Z) O(rsetv "CMDECHO") ! L; I' |" ~! B" a# X5 ]
(rsetv "BLIPMODE") ( C$ S3 m4 W( q5 y% J; q2 ^
(setq *error* oerr)   X0 a% t. W; G, `% F) l0 @
); end of resetting , e% |7 U0 j3 C4 h
) Z/ p) R% ]! r
(defun dxf (code ename)
& G" ?) }' c3 u8 b' {' \(cdr (assoc code (entget ename))) ; x) @7 p7 m1 v  \( ]
); dxf . V' Q# B1 E* B4 s9 Z9 s2 B$ k

; J% b3 m7 n8 d, g(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1
% [5 L/ r7 k3 t3 M- e4 {: i4 btrimcode invent p0 p curvent linent linent2 ent2 p2)
; C5 m9 g* g: q2 y(setq D (getreal "\nPitch diameter: ") 3 I4 I; G' `; Q- d5 n' X0 ]
N (getint "\nNumber of teeth: ")
4 Z4 N6 u+ a$ w3 |phi (getreal "\nPressure angle: ") 5 I0 C! w; e3 U6 {. V8 w+ ]) L- O& l
phi (* (/ phi 180) pi) ; Pressure angle
3 h* h1 P; w) Z; E* f' FDO (* D (+ (/ 2.0 N) 1.0)); Outside diameter
7 G$ s( H1 v4 y7 t* ~- H' qRO (/ DO 2.0) ; Outside radius
! {7 q: L' b' s" G" a& }A (/ D N) ; Addendum 5 y4 U5 m( w7 I
B (* 1.25 A) ; Dedendum
( F5 Q1 O  }/ L  n% wDR (- D (* B 2.0)) ; Root diameter
8 T8 R$ f' J$ E3 f, ]8 UDB (* D (cos phi)) ; Base circle dia.
: u* C  P5 {2 T- j0 ]; t4 v" yinv-plst (involute DB N phi);involute points ; b8 @5 y; C% P0 S" k
trimcode nil
# D+ i4 E& p& ]- E) S); setq 2 g2 Z% ~+ K9 `& x7 J( P
(command "ZOOM" (list 0 (- B))
1 p+ n- m$ `5 l+ B7 @, y& [( w  g(list RO (/ RO 1.5))
& y5 t4 r7 L% X- b* L9 p! X  }); command
% R! J3 l5 C+ t! l( y: P(setq invent (draw-inv inv-plst)); Draw involute. ) b# ~6 p+ G8 o# Y3 D& I
(setq p0 (car inv-plst) 8 V' E7 p  c, Z! \  C
trimcode (ext-trim p0 DR D);trim or extend 1 M" B! Z1 u" s; t3 Q% E
); setq ; the involute. 5 S- T. A% X! Z6 r1 }/ I! d- C  `9 a
(if (and trimcode (= trimcode 0))
( ?, r# y* y6 C(progn ; Joins the involute to the extension.
) z0 V& n+ |/ W) F" d(setq p (list (/ DR 2.0) 0)) 4 m0 S( e# Z% m0 S$ N/ d/ [
(command "PEDIT" p "Y" "J" invent "" "X")
# T, r! ]. L& l2 j/ b8 t+ U6 u(setq curvent (entlast))
/ m  Q: G& I0 G! L. o4 s); progn
/ h0 `8 r, q  U) }' h1 [% L4 I9 O5 K(setq curvent (entlast)) 8 ]% _# ~  q" x$ D6 D
); if
# ]  p! r$ l% d  ]4 U' y! @9 y1 E(if (null trimcode) (setq curvent invent)) ' P, n, u1 L9 [% {
(setq linent (draw-top-line D DB N RO)); top line.
, T4 o5 d3 ]% V( Z(command "COPY" linent "" "0,0" "0,0") + U7 o0 a+ x+ A, [! n
(setq linent2 (entlast))
* p9 ]1 G4 T$ f$ I0 H0 ](setq ent2 (mir-it curvent linent)); mirror curve " b; m, m6 h- @& {1 \
(command "PEDIT" curvent "J" linent ent2 "" "X") ) H, N! N9 o% H& ?3 D
(segment DR N linent2) ; Finish the job!
7 t+ p. l. f% L8 M' ?: a4 E9 B' b0 Q(setq p1 (list (- RO) (- RO)))
% l3 m1 t/ H8 O2 c8 o6 N8 Q(setq p2 (list RO RO)) $ |4 c) A5 N! W8 C8 ~( L/ k1 |6 K
(command "ZOOM" p1 p2)
8 N! \* N! B% k0 y$ G+ C: U8 _(prompt "\nConverting to POLYLINE, please wait...") 9 U$ R5 ^) ^3 n& p( M
(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X")
1 ?& h& N$ E9 W) e  w; z  o" V(prompt "\nAll done!")   \5 |( `9 [- d" a8 _( a6 A
); spurgear ) E4 Q/ o/ F2 [1 j
# K0 q, y+ G) e0 U/ H1 n
(defun involute (DB N phi / numer denom frac theta2max
! B7 ?1 X# Z; R5 }! z7 x' r5 `thetamax theta-inc theta plist RB xval yval p) - [8 J* ^5 L/ C
(setq invfact 3)
: F" @2 m& X% }+ D! X7 z0 C(setq numer (+ N 2.0) 7 D8 T( U2 G% O
denom (* N (cos phi)) ' t' ]" m2 l( }
frac (/ numer denom)
! _/ a% N" k' {0 D2 Atheta2max (- (* frac frac) 1) ) ^0 ?+ l% _* ?( O: c/ R4 l
thetamax (sqrt theta2max)
3 B% n' z0 m# n8 E8 X% Z/ mtheta-inc (/ thetamax (float invfact)) 6 {- z  k" Z1 Q
theta 0
* n: m& g- v+ e, H0 a  U2 X% s/ _5 aplist nil
  U, ^& k/ z! j. ]# h3 NRB (/ DB 2.0)
$ k' ?- `( `# ?); setq
* V+ ^" o1 c- r7 L(repeat (1+ invfact)
% U3 {/ T& ~1 U$ l, j5 W(setq xval (do-x RB theta)
3 l$ I, z! }$ G$ @" r4 k1 nyval (do-y RB theta)
( v9 T# T  Z! K6 tp (list xval yval) $ o/ \2 [$ p' j& U  z1 O9 W
plist (append plist (list p)) - a* B9 j5 M3 Z7 g( ^
); setq 9 l9 ^8 m6 T7 V$ }* B0 ~3 y
(setq theta (+ theta theta-inc)) " {& ~% T8 G" p8 U
); repeat
: b* O% H$ d; ]& P: b. ?plist
. B* u6 o7 D: Z0 n); involute . ~4 r" \& E# M$ e- c
" z4 F" o: F2 K( ~8 E) k* D
(defun do-x (RB theta)
0 M" U, @) U" U- v( I: W5 i(* RB (+ (cos theta) (* theta (sin theta)))) . [4 ~9 |; u' R
); do-x
3 t* k, a, E# s+ y5 D5 x; f# b& X$ k3 W" K8 G8 O
(defun do-y (RB theta) ( b- S) i3 r! A9 l/ z3 ?
(* RB (- (sin theta) (* theta (cos theta))))
% b) @4 p( G* T8 S$ `( s); do-y
" x8 f4 Q+ A! i2 [) q; K2 Z) h7 D7 O# }- E5 i; [
(defun draw-inv (inv-plst / dirpt plist p)
. l* u$ V% s/ b8 U, J0 C(command "PLINE" (nth 0 inv-plst)) / w% s/ V( u3 e
(setq dirpt (polar (nth 0 inv-plst) 0 1))
2 d" C  x2 u; \& e; q* `7 A* M! i(command "A" "D" dirpt)
) [6 ^+ C- b+ q0 \) q3 r+ D" b(setq plist (cdr inv-plst))
/ D: x, J8 [# E(foreach p plist (command p))
* ^) |/ X8 W4 Q  R) `; b(command "") ! Q. c  Y7 O3 I  n  S
(entlast) 8 \' n6 |( M" {! G! r% E
); draw-inv ' v+ V4 B! F7 O1 ?4 Z1 l- y
, y0 q3 ]* E: I) U/ W
(defun ext-trim (p0 DR D / trimcode dist endr)
' S2 F. W6 r) e& P; P2 c(if (> (car p0) (/ DR 2.0)) ; Extends the involute 0 w6 p+ |) ?/ r
(progn " h3 Z/ x# \5 r( F
(command "LINE" (list (/ DR 2.0) 0) p0 "") ' X+ n) v3 Z  |8 U
(setq trimcode 0)
* I8 u9 ?" v6 c+ q); progn 3 B2 s  O2 r- P/ f! Y
); if
9 ^8 V) B! D: `/ Z. @; Y  Q# \(if (< (car p0) (/ DR 2.0)) ; Trims the involute 4 \1 y, y9 N$ G9 o$ }( {
(progn
5 Q8 j, j8 _! w(command "CIRCLE" "0,0" "D" DR); Root circle
% Z' z1 ^4 z/ d% {  `" H: B(setq dist (- (/ D 2.0) (car p0))) 6 ]& v: o& ?2 k! @3 }9 D4 ~) n4 }; p
(command "ZOOM" p0 $ o! p1 I6 S. A3 K* L
(polar p0 0.6 dist)) ; M# Q) ^' J7 Y# f, \1 R
(setq endr (entlast)) $ S6 O4 d2 q& h  P5 e
(command "TRIM" endr "" p0 "")
1 r, X5 {0 m4 F3 \(command "ZOOM" "P")
6 d9 d( N! N3 l4 _8 ~(entdel endr) 9 Z! q" \+ F! m. G; n& X* X3 c6 Q! C/ \
(setq trimcode 1) ! B# F7 B4 t8 {& \
); progn 5 E0 K  m; V' E$ O& q  f5 ]; Q. w7 N! d
); if
! ?, g8 G! y* e. B4 H) @trimcode , I; d+ ?& F! M, y
); ext-trim 6 d) F7 @, k$ U' i

  q0 h- U: |" \  n% ?(defun draw-top-line (D DB N RO / theta-p xp yp alpha
1 u7 e! M* S# pbeta tang angend inv-endpt lend) ; b$ k% \4 m. F3 `' F0 Z- J
(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0)) 7 X, T9 K- X: r; Z! q
xp (do-x (/ DB 2.0) theta-p); This section
* i2 O% \- E) z$ P  {# O, uyp (do-y (/ DB 2.0) theta-p); sets up angles
/ r0 w, Q8 R9 O. Y. }7 i1 r' R$ Nalpha (atan yp xp) ; for drawing a
1 S: I6 V+ D- ?, E! \abeta (angle (list 0 0) (last inv-plst))
" C0 j# Y# k+ M  P7 g/ Z5 Cbeta (- abeta alpha) ; line across the . r9 X& w' {5 b+ e0 R
tang (/ pi N) ; top of a tooth 5 D' O0 x6 y6 [1 I& N5 C0 ]
angend (- (+ alpha tang) beta) ; q. p, k; D, \  Y( y+ y9 _, G& r
inv-endpt (last inv-plst); This also creates
# p, n. h% G9 r& rlend (polar (list 0 0) angend RO); the tooth
7 v. y. L$ \. C- O; {2 T5 r0 _); setq ; thickness.
! K6 O$ A4 Y8 z; P' }6 j& K(command "LINE" inv-endpt lend ""); Draws the line
  i$ E  g7 r# g2 H3 y# C: x(redraw)
7 z3 Y7 K# O8 o  R$ _* v5 @/ W(entlast) ' |) L, y# M  b% L) y% f
); draw-top-line ; E( f5 r) x8 [3 H4 T" i6 m

& m% r6 a' W) v7 w/ @; G7 F(defun mir-it (cvent linent / pt)
  N( K5 r3 ~3 _# Y) a) G(setq pt (dxf 11 linent))
$ T4 b: j$ w/ h1 V6 v2 Y" J, P$ d(command "MIRROR" cvent "" "MID" pt "0,0" "")
# b8 r# k; l4 O: \1 [2 K# D. N(entlast) ' F% p' V$ p2 l1 n
); mir-it # Y5 ]0 Z  S( ~" S4 l/ k

: o( d: w  L. _6 W7 R  S(defun segment (DR N en / p1 p2 ang dist midp p0 pang
; U+ N6 j& x) n/ A6 n+ v" s# W& Ypang2 p p3 ent3 entl1 entl2 en1 en2) 3 L9 B3 U" m$ S& z
(setq p1 (dxf 10 en) - k$ }: C5 g0 J& B5 ~
p2 (dxf 11 en) 3 Q6 x' S% x/ J% Q  {
ang (angle p1 p2) - I6 n7 @+ k6 J( W' b
dist (/ (distance p1 p2) 2.0) # r  ~4 k$ l& G% n4 |; D7 P6 A
midp (polar p1 ang dist) 5 n9 s# F5 f6 f
p0 (list 0 0)
8 l! u% r/ Y# I% f" W' `/ _pang (angle p0 midp)
+ [: x# S3 t7 a- V0 e: p/ c: Epang2 (/ pi N) 5 t0 _+ {& Y; \9 x$ y
p (polar p0 pang (/ DR 2.0))
/ W- K3 {" L1 ?p1 (polar p0 (- pang pang2) (/ DR 2.0)) 8 ?& c  J/ g+ t7 v: k  W" A  U* G
p2 (polar p0 (+ pang pang2) (/ DR 2.0)) + g5 w2 G8 S' y/ Z- ]7 P; R6 b
p3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0)) 2 }8 x# {) l  e6 Y. v5 R
ent3 (entlast); This is the tooth p-line
/ P* E  v% w% p1 G7 H4 s); setq
2 s) D) Y! n' X# S(command "ZOOM" "W" p3 p1) 8 C7 Z. T) v/ Y2 T  `& |
(command "CIRCLE" "0,0" "D" DR) ;Root circle
( K) T) d4 l: A: h* o7 S5 a8 j(command "TRIM" ent3 "" p ""); Trim the root circle * ~. {5 J. D2 s2 j2 f
(command "ZOOM" "P")
4 {. r: j5 _/ W, K(command "LINE" p0 p1 "")
* d- G4 u3 I9 G0 p(setq entl1 (entlast)) 5 b/ B' V5 j. E& h3 A8 k
(command "LINE" p0 p2 "")
; p/ i; f0 B0 G" a& S. F(setq entl2 (entlast))
& i  k" y" {( B8 u/ [+ X$ j! I(command "TRIM" entl1 entl2 "" p3 "")
+ z( [: S4 c" ~& B& Z' A: \(entdel entl1) & E8 h  ~7 X: B
(entdel entl2) " n2 X6 a. ?$ M  j; W; d
(entdel en)
3 H9 i/ y7 A# u- L! w& q, V' N6 i2 X(command "ZOOM" "W" p3 p1) 5 u; M+ X6 Z: z0 |. ^% U' b
(command "PEDIT" p1 "Y" "X")
0 y( M) u0 ~3 W$ r* m(setq en1 (entlast))
4 U& \9 f+ }8 o+ `- q(command "PEDIT" p2 "Y" "X") : R8 @* h. ]# a) O' _
(setq en2 (entlast)) ( c; K1 g. M) i( U( n; @5 {
(command "PEDIT" en1 "J" midp en2 "" "X")
" ~6 X& r3 x% I7 p9 ^7 c& b8 Q(command "ZOOM" "P")
' K3 h( \6 b' B; }% A; e(command "ARRAY" p1 "" "P" "0,0" N "360" "Y") : r' A5 q+ n9 g
); segment
4 f6 J! Q* _. P# c
' W2 L" F2 _5 M6 o6 i(defun c:sg () ) i. C8 p& H* J( i8 v
(setting)
# T# u& I7 r& a$ w(spurgear) + \( k" m& D% r; Y: ]
(resetting)
" X8 h7 Q7 |( S4 I( _- ](princ) : a! h$ ^! [( A5 `0 V. Q
); c:sg
. h% c# v' T, I# Y$ Y, k
  a' D5 [* |, f% g( c- c, U(prompt "\n**SPURGEAR.LSP Loaded!") 0 b& H5 [4 r. @' c% I9 u/ A
(prompt "\n Enter 'SG' to start") ' ~* A# w% w8 y/ U# x5 t0 ?
;;;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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