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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。2 J) h! d8 V: U- ?
;;;begain suprgear.lsp
5 O' Y6 \: C9 B. N! @/ g3 \/ K) m8 q;*************************************************
0 X4 [$ u7 O7 \* a* a  [;SPURGEAR.LSP - a lisp program by Tony Hotchkiss
+ L2 ~* @9 u/ a$ C+ D;-------------------------------------------------
% }# h  o+ b* v1 f: Y& h; This routine draws a spur gear using joined 2 z$ G/ g3 q7 f
; polylines. It lets you use any pressure angle
+ w* a5 ^/ Q, Y8 p3 O& F; to design the gear teeth. ( L# C) j& e6 D' B
;************************************************* 4 }# L0 C( `" k
(defun err (s)
% x6 g$ y. i  }0 r6 A(if (= s "Function cancelled")   E$ P0 w# s9 w
(princ "\nSPURGEAR - cancelled: ") / G, a9 l0 O# |
(progn (princ "\nSPURGEAR - Error: ") (princ s) 5 w$ w; f' A5 Z# H' ~8 C) @* P
(terpri))
- x9 r$ C8 s, a% q: M( [); if
' S$ r8 O, R! R6 R1 S1 B! v(resetting) % N8 S2 ?# i0 C! O- J. a
(princ "SYSTEM VARIABLES have been reset\n")
3 D: l& Y" F6 a' M(princ)
+ x# Z2 u9 G# \  E: v); err
8 |3 ~9 ^. K2 N- I- G) n$ M7 r7 p+ G
(defun setv (systvar newval) 2 S- f" M0 G. \" }; N) c
(setq x (read (strcat systvar "1")))
: D4 I; U& }4 _: v(set x (getvar systvar)) ' o* ?* _; V& u4 L0 A
(setvar systvar newval) ' |3 t( B0 J% H4 T- h+ J9 P  w
); setv & r7 J# y  h: {

& Q' m# f4 ]$ s! B+ _* H(defun setting ()
0 k* d/ ~+ |' c, i1 R+ d(setq oerr *error*) 7 ]# u6 d, h* n& I* F
(setq *error* err) & `0 e2 v) B' P! E5 ]$ q1 T- v" {
(setv "CMDECHO" 0) " H5 i& c) V5 D) |' }& |
(setv "BLIPMODE" 0)
/ j( W6 m4 z; y$ p4 L0 ]) p- I# m5 M); end of setting
8 c7 l* q4 }' ]# n8 ^(defun rsetv (systvar) - N9 G8 v+ K" R) E" i
(setq x (read (strcat systvar "1")))
4 n+ g4 M& o, @0 R: S- P, b% t(setvar systvar (eval x))
5 j' E# X% J9 g6 }/ W2 [); restv
  C" O0 y6 i4 t  J(defun resetting () , _$ c; T; x5 T- r$ [4 E4 }9 B5 V
(rsetv "CMDECHO") 3 g# f( d" K' {$ I
(rsetv "BLIPMODE") : S9 p; s, c* V) j9 @
(setq *error* oerr) / A* P5 ^2 I4 L1 ], N- b5 `- V; g4 V
); end of resetting $ y8 _" ^! r3 }$ G

$ z: r$ ~- T/ i- ~(defun dxf (code ename)
) Y) Z$ ?4 Z1 k7 H- q(cdr (assoc code (entget ename)))
" m0 x" _& S/ m0 d! ~9 z& w# H); dxf 5 m/ o: w6 ]$ K" a
0 A) b1 _1 S  Y, W( z- N
(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1
/ y  K' `' K8 O+ x1 btrimcode invent p0 p curvent linent linent2 ent2 p2)
+ p5 K4 V4 H+ O+ S( h! {(setq D (getreal "\nPitch diameter: ")
, S, G& h: i0 c% B# z' \4 c+ y3 kN (getint "\nNumber of teeth: ")
1 S) z1 n- d0 D* W; E3 Gphi (getreal "\nPressure angle: ")
+ \7 B# ?! p$ A* Wphi (* (/ phi 180) pi) ; Pressure angle
) s* _: Y7 R) \' r" ^1 ~DO (* D (+ (/ 2.0 N) 1.0)); Outside diameter 5 y- h2 R) E/ \! W6 b- b
RO (/ DO 2.0) ; Outside radius
6 ]! }, h' x. ~8 \8 H* HA (/ D N) ; Addendum
! S" m8 u0 t' [& k1 ?3 E$ F$ kB (* 1.25 A) ; Dedendum
  N. Y' b# D! S3 `% PDR (- D (* B 2.0)) ; Root diameter 2 C. G$ Z$ ?" @& u0 ]3 I7 Q
DB (* D (cos phi)) ; Base circle dia. 2 |1 ]: K0 ^/ Z4 E( Z8 M
inv-plst (involute DB N phi);involute points , j) @) Y' P$ I2 ]: @
trimcode nil ) n8 ?2 v: W& r; e
); setq 4 v6 g" I3 ^8 f+ U: I7 B
(command "ZOOM" (list 0 (- B)) 2 j, z0 M7 l! I- Q3 J
(list RO (/ RO 1.5))
& u% `- v$ z4 X& h$ Q! d0 L2 G% v); command , z+ f6 f2 n+ y; }0 o
(setq invent (draw-inv inv-plst)); Draw involute.
# K: D; m8 V9 M(setq p0 (car inv-plst) 9 V5 g+ W. ~! i0 A0 H9 l* |) j
trimcode (ext-trim p0 DR D);trim or extend 2 h) O8 U& g1 ?  L  O% p6 I
); setq ; the involute. - t% \' I* Z$ e
(if (and trimcode (= trimcode 0))
( ~1 D0 s# R$ ~. o+ P3 T1 P(progn ; Joins the involute to the extension.
0 F) p, [6 e8 `- ]/ `1 r(setq p (list (/ DR 2.0) 0)) : o1 o7 {6 M5 b
(command "PEDIT" p "Y" "J" invent "" "X")
5 c7 Z* E; l5 ?$ N9 a3 V(setq curvent (entlast)) ' D+ |7 n7 `- {2 d, C9 Z: z
); progn 8 J. a, H7 i) D
(setq curvent (entlast))
6 X( }* W3 [6 R4 g); if 8 v! J! D5 _: M: c
(if (null trimcode) (setq curvent invent))
: k- N9 S9 W% J7 h4 Q(setq linent (draw-top-line D DB N RO)); top line.
) e: f* A  T8 z+ Q8 s(command "COPY" linent "" "0,0" "0,0") 6 E; R7 ]+ n* J
(setq linent2 (entlast))
8 o  W' @. @  m5 p(setq ent2 (mir-it curvent linent)); mirror curve ; F# _( f8 @# g$ {$ B# j
(command "PEDIT" curvent "J" linent ent2 "" "X")
1 Q" F$ e: _+ p; V) Y(segment DR N linent2) ; Finish the job!
2 C' Z/ i( v* q5 D: c* I  q* [6 f2 _(setq p1 (list (- RO) (- RO)))
1 m6 z% c8 q8 _. V; A(setq p2 (list RO RO))
' }% Q% c; Q* T9 z/ q(command "ZOOM" p1 p2) . f# l( y; N5 {, `2 i7 S
(prompt "\nConverting to POLYLINE, please wait...") 4 k7 ]/ ]* w; R# [
(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X") 1 t9 v+ d5 c1 P
(prompt "\nAll done!")
" L2 S% x/ `5 D3 W2 c  o); spurgear
* U7 Z. z) u7 b  z  _5 ?  P& s
(defun involute (DB N phi / numer denom frac theta2max 4 ]0 q+ t, A3 Z) t7 a$ W/ G
thetamax theta-inc theta plist RB xval yval p) " ?& ^; \; v2 b  m. u' H+ ]1 @
(setq invfact 3) " U/ O# p" Z  P. J) J# L5 D
(setq numer (+ N 2.0)
+ J9 R. o- U& b' W! I" |+ ldenom (* N (cos phi)) 0 c+ F: u) A* D2 N( \" ^# ?2 _4 H
frac (/ numer denom) 1 ^2 m# E/ p& M( K
theta2max (- (* frac frac) 1)
6 ?! G6 ^1 I* ~& b+ _( tthetamax (sqrt theta2max) 6 n. i: h( h' U- r3 c& [
theta-inc (/ thetamax (float invfact))
# x! O8 ]" ~+ b- Z' I1 g2 T/ j0 `theta 0 ' F  a, q4 T8 j
plist nil
7 E. S5 {2 C% n1 ~6 |5 U% ~" g0 KRB (/ DB 2.0)
/ E$ D) k& E4 b0 ]+ p7 w* Z); setq
% ~% w$ k1 d9 \% `/ i4 q; i(repeat (1+ invfact) + E- U: S/ L, W2 P
(setq xval (do-x RB theta) , `4 l! Q, Y" }8 m# C: }% x
yval (do-y RB theta)
& L7 P9 z& x# d! Q( n1 I) {  Bp (list xval yval) ! g  B8 e% a% p* z
plist (append plist (list p))
3 a8 w- h. j  o; ]* ^); setq
  ?8 l1 T4 k! _) C+ g$ o- D(setq theta (+ theta theta-inc)) ; h! D2 e1 i* [, s
); repeat $ z0 L; X. X% D) Y
plist   v- c8 ]2 c2 F4 {( M, _
); involute
0 j$ x, Q7 {1 I% g4 z. g6 q3 K8 H9 I
(defun do-x (RB theta) . \6 U4 z  ?- B1 u: }* M2 r( i
(* RB (+ (cos theta) (* theta (sin theta))))
, o  |. x7 m/ y, N, e& L: c. p8 _); do-x 1 ]2 P  K. K( ^; u7 v1 R

3 Y4 Q! `3 q9 E( |! U- I(defun do-y (RB theta) . ^2 @: x6 \2 N" K8 j8 y6 `& Y
(* RB (- (sin theta) (* theta (cos theta))))
) \  A0 C" @9 m2 C- r& u); do-y / f, w' r* {- Y  W, i1 O

" ^% T* W1 l2 G2 P3 w4 M. l(defun draw-inv (inv-plst / dirpt plist p)
# N1 q3 k  v! v6 e: L/ ]) L' h(command "PLINE" (nth 0 inv-plst)) # i% u* I7 w. ~! k" [' M6 K
(setq dirpt (polar (nth 0 inv-plst) 0 1))
! d$ N: p* J( O2 ]; g  s7 n# ](command "A" "D" dirpt)
  D# F5 ^& s  u/ U# X2 P(setq plist (cdr inv-plst))
& A- X3 B# k% ?% k9 P, U(foreach p plist (command p)) 1 Y" w  H( ~+ ~- m7 E+ |% z
(command "") : P3 g. r$ Q$ R1 b
(entlast) 1 L- o+ H3 Y, U& U- j3 t
); draw-inv 7 J0 p* ~3 b0 F% b
" W8 `- u7 Q5 T" U% [6 t2 B7 `( t
(defun ext-trim (p0 DR D / trimcode dist endr)
, g6 z! _7 v5 w# M9 g8 [(if (> (car p0) (/ DR 2.0)) ; Extends the involute 1 O1 V& b2 h# h% e9 K
(progn
' z  N  G+ b! `' [/ ^(command "LINE" (list (/ DR 2.0) 0) p0 "") 8 U1 g% A, _& f- f, x. g
(setq trimcode 0)
" N7 f6 \' T' H( J" C); progn : y- ^0 ]9 T0 p! ^' e$ v
); if
( `8 s3 t- K2 b/ m(if (< (car p0) (/ DR 2.0)) ; Trims the involute
4 @) P9 ~" {3 }6 m' G0 e(progn
# P; ~% \# z; _6 l$ E(command "CIRCLE" "0,0" "D" DR); Root circle
1 i9 P$ h% _% U% f3 b8 a(setq dist (- (/ D 2.0) (car p0))) " W1 X7 n1 x" R5 M4 L
(command "ZOOM" p0 ) R( l0 W- w' w- T, R0 _
(polar p0 0.6 dist))
- Q# X2 d& I2 l7 h5 l( h) {(setq endr (entlast)) 9 r8 i+ m+ l( I) f7 E; K
(command "TRIM" endr "" p0 "") 7 r; B' x  i9 y, e2 `
(command "ZOOM" "P")
, G2 ^: [3 t  X1 _. h9 y(entdel endr)
$ l$ H4 N/ |6 l1 C. _(setq trimcode 1) & h1 q! X, D* B$ s' w" d9 Y" Z
); progn 2 e+ d: a, j$ D8 d
); if
, x- ^/ x, l7 y% Mtrimcode $ ?9 V1 w9 `1 y: |: @
); ext-trim
+ a+ T* _% b# u# `* h4 Z" C/ }% M
(defun draw-top-line (D DB N RO / theta-p xp yp alpha 0 T- ]8 P# b/ X# l
beta tang angend inv-endpt lend) , G( _/ A7 _7 ]1 }% F% j
(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0)) $ A" s* B3 u  ?; x5 n; A
xp (do-x (/ DB 2.0) theta-p); This section
0 v) @4 K3 C5 m1 v1 zyp (do-y (/ DB 2.0) theta-p); sets up angles
7 Q" H1 X3 ?  ?alpha (atan yp xp) ; for drawing a
4 T" |5 k% e. S7 z9 r1 kabeta (angle (list 0 0) (last inv-plst))
  M. J# P" M9 T3 n6 j2 j- _; Tbeta (- abeta alpha) ; line across the ( u. ~3 x1 P; N; F
tang (/ pi N) ; top of a tooth 3 P! _1 H+ c5 ]- L" p: k
angend (- (+ alpha tang) beta)
# G4 _4 T  O0 Ainv-endpt (last inv-plst); This also creates
/ q0 V8 K( x1 b) T: ?# flend (polar (list 0 0) angend RO); the tooth
  w0 r+ n' L5 V); setq ; thickness. ) O1 R) B: c- p: \
(command "LINE" inv-endpt lend ""); Draws the line
: Y# w, {% e1 y3 [- x9 M, V(redraw)
6 h! @; W5 o& f1 p+ Q- M(entlast)
9 F* Z- w5 [3 a# X* ]5 @3 l5 J); draw-top-line
7 Z. |7 W1 |9 f" |
0 n" P  v0 M: b% I( Q5 l(defun mir-it (cvent linent / pt) 9 \. u2 i, r1 V! ~' ~2 m0 Z% t
(setq pt (dxf 11 linent))   U: R3 C6 k7 |* |6 O
(command "MIRROR" cvent "" "MID" pt "0,0" "") / Y5 X* e9 x" u- x+ E. d7 }" R
(entlast)
; H2 ]/ y9 d' Y0 T); mir-it
- Z) H  I7 a$ z, A. n1 {# W  M7 x0 H5 J8 v9 J/ j7 I
(defun segment (DR N en / p1 p2 ang dist midp p0 pang
3 C* `- j  u" ]* Lpang2 p p3 ent3 entl1 entl2 en1 en2)
/ d4 s3 _! o0 H) ]# ^: G" V(setq p1 (dxf 10 en)
2 t1 @$ t9 X! _  v* S8 Yp2 (dxf 11 en)
% j" L* y/ O  u- l; ~ang (angle p1 p2) " Y% B3 s( q1 v- ]% Y, |, D
dist (/ (distance p1 p2) 2.0) ! b8 x# e+ o( i
midp (polar p1 ang dist)
! h7 q! ?3 B! ~  }( `* l' q. tp0 (list 0 0)
; |3 B8 M. m( n7 K1 ^7 d1 {pang (angle p0 midp)
' q7 @" H' ^/ jpang2 (/ pi N)
6 l$ ?& _9 M1 Sp (polar p0 pang (/ DR 2.0)) * E/ ]% w7 z( L5 r) ^5 Z; |8 x
p1 (polar p0 (- pang pang2) (/ DR 2.0)) $ K% W* ~7 z% _3 o( Z
p2 (polar p0 (+ pang pang2) (/ DR 2.0))
- [: g8 {2 M! |9 Xp3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0))
+ x. }6 @$ a( }; Jent3 (entlast); This is the tooth p-line . B7 Q  c& T1 c0 i
); setq 2 m4 I: K! y9 ~5 i# b
(command "ZOOM" "W" p3 p1) & e% C) H; C3 [" d! z
(command "CIRCLE" "0,0" "D" DR) ;Root circle
$ E8 h* ~# E: T& c/ P+ k1 \2 \(command "TRIM" ent3 "" p ""); Trim the root circle   H- A1 C( X" ^; {
(command "ZOOM" "P") 0 k$ @% u- z' b9 n$ }% b5 g
(command "LINE" p0 p1 "") : C4 y% h, }! S4 o( b- D
(setq entl1 (entlast)) 1 O1 c9 i+ j0 D4 q' v
(command "LINE" p0 p2 "") * C, P/ E7 c" i1 ^
(setq entl2 (entlast)) 3 r# M2 n: A  W/ P
(command "TRIM" entl1 entl2 "" p3 "")
% O( A5 f! m! I, F' e7 s& J* e" B(entdel entl1) 0 ~0 _& m- E2 J$ R  c; s1 _. Y: `
(entdel entl2) + M% Q: p( L$ {: e
(entdel en)
% x8 |: U$ C7 R: q4 Z(command "ZOOM" "W" p3 p1) ) R! p* s8 t+ a$ K
(command "PEDIT" p1 "Y" "X") , G! }+ Q: L% M. f
(setq en1 (entlast))
/ I/ V$ Z. B6 q- r+ Y(command "PEDIT" p2 "Y" "X") # M. H8 f! h: X) ^$ x' e
(setq en2 (entlast)) / O, t' n0 I1 x# \4 V
(command "PEDIT" en1 "J" midp en2 "" "X") 1 `7 i. J4 W2 ~' \
(command "ZOOM" "P") & X: s" E& F. E2 ?
(command "ARRAY" p1 "" "P" "0,0" N "360" "Y") 9 [# p9 d! M5 }5 N8 ]3 i. V, m
); segment ) Z: Y1 l- [( g/ r! y8 T
  U, E$ S7 `( _: q
(defun c:sg () 9 F+ Q( Z# W; y# K; S, L, Q
(setting)
$ u3 o- m. L4 ~0 P0 e; Z6 N(spurgear) * f7 G3 t; A8 W( F3 u/ W! E4 f
(resetting)
$ @6 @3 [" J9 F. I: U0 m( f(princ) % P( K6 a0 ~0 P1 K
); c:sg
* t0 r$ F2 `4 \/ S& ~% j# I& a8 _& d- I0 ^! e
(prompt "\n**SPURGEAR.LSP Loaded!")
! n: o5 G3 D1 d. n( d) v(prompt "\n Enter 'SG' to start")
, F6 I$ h. L- |; o;;;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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