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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。' Q! b- b2 H# s( ^; \: Q
;;;begain suprgear.lsp 3 U4 K0 p5 E" V' Z
;************************************************* 3 d6 g4 z0 ^9 h1 K' Z
;SPURGEAR.LSP - a lisp program by Tony Hotchkiss
- Y$ m8 B1 T- b' q1 j;-------------------------------------------------
" @; c- t8 Y- Y2 p; This routine draws a spur gear using joined
/ ]( k5 y) g0 m# Y; polylines. It lets you use any pressure angle 0 H% d" e* x+ I2 ~5 y; J
; to design the gear teeth.
" L* ]) ]% d! L: I6 N6 ?- V3 d;************************************************* ; W* m  u& b3 q" {
(defun err (s) - L+ ^. `5 v* k/ V" R  M
(if (= s "Function cancelled")
7 Q7 m) V0 m3 P# J! }% ?5 V(princ "\nSPURGEAR - cancelled: ")
7 H# P/ X4 \5 v(progn (princ "\nSPURGEAR - Error: ") (princ s)
" _8 ^% a  }$ U4 x(terpri))
( v# n) ]3 {7 ^% I8 `); if 9 L  S' C! i3 T5 N$ E! c6 h
(resetting)
* t! _3 U1 ?8 Y- f7 T(princ "SYSTEM VARIABLES have been reset\n") 0 G( C* G- e. r4 K
(princ)
7 X! P- t4 n' _! q3 n); err
( j2 ?( e4 ~6 }4 _
5 h3 Q, w. [0 g) O! F8 J(defun setv (systvar newval)
+ }0 w- u+ n+ l/ j(setq x (read (strcat systvar "1"))) . D5 d4 p: }2 I! O
(set x (getvar systvar))   N2 z4 Z) i3 C0 i- U; u& ^/ q  T
(setvar systvar newval) 5 E$ C  b' e- P. t9 I
); setv
$ y+ ?* s1 {9 Z8 T3 u0 I. ?) [6 W6 A4 z. x: a$ n$ k+ M
(defun setting ()
  q  s3 m# x0 a2 q1 S2 a(setq oerr *error*) . F2 C  l/ E9 `$ V5 D9 a
(setq *error* err)
* ~8 d. X  P  A* i% B; l(setv "CMDECHO" 0)
0 z% n8 D% b) Q, Y( a# H6 j4 c! }(setv "BLIPMODE" 0) 3 \3 y* w+ Y2 N
); end of setting
5 h! H. b  ?9 G! T(defun rsetv (systvar)
( D" Z7 n2 J- W! i4 G(setq x (read (strcat systvar "1")))
. U- v6 L' n7 n* O5 l3 g# v! }(setvar systvar (eval x)) 9 i' h4 \) C" t1 Q0 @. O4 [* U7 q) }
); restv
2 f6 Q& U8 r) W& X! g9 R" p9 n0 z(defun resetting ()
5 x; P$ \- x/ M$ t1 a, a$ S(rsetv "CMDECHO") ' s8 P! q, i/ G9 b% k$ V
(rsetv "BLIPMODE") 0 S# N, K; k  c3 R4 B7 l/ A
(setq *error* oerr) / ~7 F$ N+ L& _
); end of resetting 7 [, V) L3 T- B' X5 F2 r
# c! f7 f+ [" T/ i/ e! F7 ^9 u1 P: T2 |
(defun dxf (code ename)
5 G1 W: |9 Q" f; F0 A- x2 Q4 y! h(cdr (assoc code (entget ename))) % w  x4 \# e2 J( A
); dxf
$ \! y! f* x' R' d2 o7 g& f) f7 Y. u
(defun spurgear (/ D N phi DO RO A B DR DB inv-plst p1 4 e/ a0 c4 ?4 z
trimcode invent p0 p curvent linent linent2 ent2 p2) * |, T8 C. W, J$ b
(setq D (getreal "\nPitch diameter: ")
: h" ^- C% }3 s- D1 l+ pN (getint "\nNumber of teeth: ") ' ~8 c: M( `6 U, l  e( d) y
phi (getreal "\nPressure angle: ")
' n8 ^" v) h, `- N( \! B$ gphi (* (/ phi 180) pi) ; Pressure angle   l4 X! B! n& ]  j, t2 U6 T
DO (* D (+ (/ 2.0 N) 1.0)); Outside diameter + Q1 N6 ?& c/ i0 Q( q( |: |8 w! G
RO (/ DO 2.0) ; Outside radius 8 y& Q# e9 O* k/ @" U' I/ r
A (/ D N) ; Addendum 9 O4 r% L4 h( k- E, @. k
B (* 1.25 A) ; Dedendum
' |  j0 b8 u! f4 ^9 Z6 YDR (- D (* B 2.0)) ; Root diameter : e' P# J4 S! V1 ^
DB (* D (cos phi)) ; Base circle dia.
4 P' O9 @1 x3 ?) T' V! @9 I, sinv-plst (involute DB N phi);involute points 0 O& @$ _4 n. N5 d/ u
trimcode nil ) }, f  X9 s0 U2 G! u8 w( p4 @
); setq
4 F' H6 N4 n  t  b, ^" }(command "ZOOM" (list 0 (- B)) % D$ q6 j; ^2 r8 T1 S/ G- _- f+ p4 a
(list RO (/ RO 1.5)) % I3 T  g- R6 q8 h+ U+ ?
); command 1 ]/ z1 c( o3 f4 a% q
(setq invent (draw-inv inv-plst)); Draw involute.
0 t+ t7 U9 D6 s& c: X(setq p0 (car inv-plst) 0 L& t3 L5 N; ]
trimcode (ext-trim p0 DR D);trim or extend ! C. _# w5 \7 V4 K; A: Q
); setq ; the involute.
# T3 c1 S$ g# |/ e' T5 x(if (and trimcode (= trimcode 0)) % o- @) o2 c9 D% Q
(progn ; Joins the involute to the extension.
/ O- c; h5 X0 E$ V1 J. F(setq p (list (/ DR 2.0) 0))
5 G0 _% h; L. M6 F" P3 Y(command "PEDIT" p "Y" "J" invent "" "X")
3 p/ [$ \! j9 f(setq curvent (entlast))
) s3 S3 F- H4 _! m3 `); progn 0 z" o1 r, _' V7 O- j  V
(setq curvent (entlast))
4 J3 e1 g$ o) ?) ?); if
! l. t0 X9 P: H9 F) }3 ~5 G(if (null trimcode) (setq curvent invent))
. H- B+ I" o) n2 g5 E) r(setq linent (draw-top-line D DB N RO)); top line.
% N1 k4 `4 |8 d# E* q) s* M(command "COPY" linent "" "0,0" "0,0")
6 I' _9 W- C4 O+ H  |/ ~(setq linent2 (entlast)) $ b) e0 T9 M( K+ H6 s9 c+ ~
(setq ent2 (mir-it curvent linent)); mirror curve / v$ j. M( P* p) T, G. X+ r7 W
(command "PEDIT" curvent "J" linent ent2 "" "X")
! ~. [3 D4 p5 |(segment DR N linent2) ; Finish the job!   o4 ?+ f0 A+ R
(setq p1 (list (- RO) (- RO))) & W; h/ B' E2 J- O# K! B9 }3 k
(setq p2 (list RO RO)) 8 |; P' v% w7 k1 p" ?9 |# j$ _* u" i
(command "ZOOM" p1 p2) * f$ n+ n; ]% |3 Y, Z. q* E
(prompt "\nConverting to POLYLINE, please wait...") 4 R5 J4 u8 n! ]* G9 b1 q' H
(command "PEDIT" (entlast) "J" "C" p1 p2 "" "X") 1 D( Z, s: @& Q+ {, w
(prompt "\nAll done!")
& N8 o3 F4 X7 y1 S' L& A1 D. B); spurgear - U/ S. q8 m2 W, P$ j" O
0 Z4 z( n' M0 h( ?/ A+ z3 {
(defun involute (DB N phi / numer denom frac theta2max
( w2 s! I9 y7 G+ k" |2 U- Kthetamax theta-inc theta plist RB xval yval p)
/ r+ u: k3 J% x3 Y1 b2 y  w(setq invfact 3) # C8 ^4 T9 E" w: \5 q
(setq numer (+ N 2.0) 3 R2 g; D" s8 h
denom (* N (cos phi)) , ~% s$ j- M! w& H% N
frac (/ numer denom) % z. N: p1 s3 j: \7 C+ P. [! n9 B
theta2max (- (* frac frac) 1)
5 s7 Y' e+ s+ \, F# _thetamax (sqrt theta2max)
. F$ \; t! l2 Y; I: Ctheta-inc (/ thetamax (float invfact)) " V! F8 ]. m- p) G6 ?' Q5 M
theta 0
2 D- R) @. d$ f. Lplist nil
1 s9 s$ O" [, B" z6 URB (/ DB 2.0) . j; v+ k& Y+ d+ j* x! |' K9 o
); setq 4 Q5 V( {, s7 U- E9 h- i! \
(repeat (1+ invfact) , ?& F( q$ x5 U& ]
(setq xval (do-x RB theta)
: Y( ~6 i9 v9 h8 y) S5 @yval (do-y RB theta)
1 _2 Y3 j. O. E& j: G3 I0 R  _p (list xval yval)
, j6 d2 W4 y) G. Zplist (append plist (list p))
) F" L7 {1 n0 m7 n6 A); setq ! d1 z# l% O# z
(setq theta (+ theta theta-inc)) + A# _9 G: \) v" h( L1 R9 c% V
); repeat ) h+ X# n' I8 k: ]
plist & S$ d' Q) n& O9 s) v" l8 T3 x
); involute
) _/ E4 R* x; y+ R! u6 n! V' D4 m" X4 k
(defun do-x (RB theta) ! {7 R6 \2 {5 g4 B  Y2 u
(* RB (+ (cos theta) (* theta (sin theta)))) : v2 _( Q2 S5 Q! @
); do-x
/ U1 v$ [; Y4 v# }1 x
1 n' _) R  B, E* I(defun do-y (RB theta)
) s0 Q: m1 A- b" K$ L/ |(* RB (- (sin theta) (* theta (cos theta))))
  n8 x/ d3 t" R1 V, S: T); do-y
7 s2 I! v* I  Y" O: m& m
( x, m; R% Z) |1 J(defun draw-inv (inv-plst / dirpt plist p)
0 b/ `) M0 E) V* d$ `# C% o(command "PLINE" (nth 0 inv-plst))
4 s: M, r" g/ D% B: v(setq dirpt (polar (nth 0 inv-plst) 0 1)) # @: h0 L# V% y" d- L6 v
(command "A" "D" dirpt) 1 g9 }, u. W$ ?+ d0 {9 r4 T! A
(setq plist (cdr inv-plst)) % c% ~" a5 }  d) F' m
(foreach p plist (command p))
# V9 K6 g" w) d9 K* A(command "") ) d6 g( c( f: _
(entlast)
& J' m- V0 {" P$ I) B); draw-inv
7 K4 W, B# P& b. `: i) q, t  S6 U" U0 i" S, x5 ]
(defun ext-trim (p0 DR D / trimcode dist endr)
' [0 p. g) {4 ~. _(if (> (car p0) (/ DR 2.0)) ; Extends the involute ) I6 {6 j0 K6 o) e
(progn
* N& X1 l+ G) A1 \(command "LINE" (list (/ DR 2.0) 0) p0 "")
: H4 L1 c7 D- S6 k0 F(setq trimcode 0)
- \: e  `7 V- h2 A+ O; ]% a); progn
% v8 A2 @7 r3 n); if
* A" P2 u; ?# {$ O5 I- ~(if (< (car p0) (/ DR 2.0)) ; Trims the involute
6 V8 u* h2 ^3 ]5 B8 P6 ~( s(progn
0 m  }, H, E% {(command "CIRCLE" "0,0" "D" DR); Root circle
" w' T4 i% d3 Y(setq dist (- (/ D 2.0) (car p0)))
3 @  s* y4 ^3 I+ K* @, r  r" L(command "ZOOM" p0
% i1 ?/ W7 F/ H- I/ v: |5 ?(polar p0 0.6 dist)) 5 t1 G& X& {* f5 j
(setq endr (entlast))
  i7 x0 }' o" ~" t0 @% {4 m$ ~" s(command "TRIM" endr "" p0 "")
( i3 m) R/ _6 e6 a0 j& ~( _! ?(command "ZOOM" "P") % k: t' A, K0 x
(entdel endr) % ^. w" t  X+ P* v& A
(setq trimcode 1)
3 W2 g- t* U/ X  U); progn
' r1 g2 n7 h* \* V! |); if ! n, U: M( Y7 x- @
trimcode
& o  i9 b$ f& g); ext-trim
1 s$ S2 e1 r3 ]! a6 ^# u% J- U5 h
. }1 b6 n" L* m( I6 ?! M; p2 b(defun draw-top-line (D DB N RO / theta-p xp yp alpha 9 P) X* P( W5 Q9 G7 T
beta tang angend inv-endpt lend)
6 a3 D4 k: W  P. c(setq theta-p (sqrt (- (* (/ D DB) (/ D DB)) 1.0))
, o5 _5 d2 S1 q9 Q6 Wxp (do-x (/ DB 2.0) theta-p); This section
( O* F& u! v! T# f* g2 y. Zyp (do-y (/ DB 2.0) theta-p); sets up angles ; E& ?2 U; _' |4 J- C) @
alpha (atan yp xp) ; for drawing a , V) l! r6 X0 `; {
abeta (angle (list 0 0) (last inv-plst))
' z* G9 M9 p4 {2 `8 {beta (- abeta alpha) ; line across the
: M3 o/ N8 a# \* B# K, s' w9 Q5 etang (/ pi N) ; top of a tooth + Y2 O* o1 ~. N
angend (- (+ alpha tang) beta)
+ x7 M6 [0 O# K- qinv-endpt (last inv-plst); This also creates ( D3 q9 h6 @4 ?% D  F7 }
lend (polar (list 0 0) angend RO); the tooth $ f* @( x/ [, E
); setq ; thickness.
* V9 B- \; p" U7 [# C(command "LINE" inv-endpt lend ""); Draws the line ! p8 ^4 n1 I% U; g. {
(redraw) 8 q. w( U) I6 _8 K$ \+ r3 N
(entlast) 6 A, F& ?! O: m: p  V+ [4 A% a$ I+ m
); draw-top-line ' s% A' x! y6 k; Q5 a7 L
- y; q- t6 m) F. M! _
(defun mir-it (cvent linent / pt)
0 i6 u9 L1 n# A6 V(setq pt (dxf 11 linent)) : h7 l1 \* @! f! I& d; |  X
(command "MIRROR" cvent "" "MID" pt "0,0" "")
2 t  G) u+ ~* k0 u' J(entlast)
: u3 g% S  h5 |1 H3 }# c0 v); mir-it 9 q$ }5 D9 W$ w  `9 ?2 |- k
3 W- S5 ?5 I5 |) \" D5 X& y8 [8 P
(defun segment (DR N en / p1 p2 ang dist midp p0 pang
! U* I# E2 v/ g1 e! Y* wpang2 p p3 ent3 entl1 entl2 en1 en2)
" U& L  [9 }) }3 H3 s(setq p1 (dxf 10 en) / i/ T) B1 p7 {/ @" {
p2 (dxf 11 en) , c; O6 N! U. F4 P! v% j3 t9 o
ang (angle p1 p2) ) z+ G* D2 p- C# T
dist (/ (distance p1 p2) 2.0) 7 K# C/ r2 H! M9 o
midp (polar p1 ang dist) % z3 W& ^- D( F0 B- j, x
p0 (list 0 0) 0 q- P/ O! i0 p/ u
pang (angle p0 midp) / \* Y+ x' B  v2 h7 G4 Z( b+ x
pang2 (/ pi N) - \2 O* G# w% ~# x2 I
p (polar p0 pang (/ DR 2.0))
6 M# b) Z% w$ O6 B, mp1 (polar p0 (- pang pang2) (/ DR 2.0)) 9 J. q, G. E8 ^0 ~' I
p2 (polar p0 (+ pang pang2) (/ DR 2.0)) 6 a# J8 j) U0 e' n/ q1 U
p3 (polar p0 (+ pang pang2 pang2) (/ DR 2.0))
6 ?7 A) U( j( ]& Pent3 (entlast); This is the tooth p-line
0 ]* T( N  Q4 Y6 w0 X8 U; p); setq / O0 N; Q$ F8 @. M
(command "ZOOM" "W" p3 p1) * p' d/ m! {8 l. Q- R$ y. p
(command "CIRCLE" "0,0" "D" DR) ;Root circle 7 i: O- V9 W" Y2 W) c9 v! T
(command "TRIM" ent3 "" p ""); Trim the root circle
! ?7 L, r: C+ {7 T" {6 D(command "ZOOM" "P")
$ ~# i& z0 L4 _( a(command "LINE" p0 p1 "")
. e$ R! T9 `2 R9 c* \(setq entl1 (entlast))
* m) {- x4 s$ u(command "LINE" p0 p2 "")
5 v' h& `; h% }& L4 j: h(setq entl2 (entlast)) ( x. k0 A) u, k( v  R7 ?6 h- m& t
(command "TRIM" entl1 entl2 "" p3 "") . h; ~& h; s, J  Z5 Q- I  M* u
(entdel entl1) ' J. \( ^) X! z. C; R
(entdel entl2)
& Q# _/ o: `3 _0 {3 }4 }1 q(entdel en)
, E* p$ s8 B( j3 S0 U(command "ZOOM" "W" p3 p1) 7 L/ F$ N5 v) t" W, d) A
(command "PEDIT" p1 "Y" "X")
* J7 S3 }/ g# K(setq en1 (entlast)) 9 l/ e% D1 J4 O+ G$ x4 S
(command "PEDIT" p2 "Y" "X")
1 B5 _% Q4 z: Y/ ?7 L  a(setq en2 (entlast))
4 Y) |/ N) v' U; D(command "PEDIT" en1 "J" midp en2 "" "X")
. B0 n2 d6 T! N(command "ZOOM" "P") 2 q/ C" j% t/ d& @9 D! |
(command "ARRAY" p1 "" "P" "0,0" N "360" "Y") ' h) c; y" }: c2 o
); segment # S$ O0 f2 a! H; W6 O$ E

! C5 k/ f; U% p6 L9 A: d: P* U" [(defun c:sg () , {* ?" p( E% c# ?/ t
(setting)
* w% i5 S4 o: w(spurgear) ! a+ q4 B% R1 l2 z/ t1 u
(resetting) ! @7 o& ?) Z7 I. B
(princ) / N8 H2 ]0 E% H$ \3 E: I4 f  V9 N4 C0 j
); c:sg
9 P9 X! Y3 H7 E4 w6 o7 H
' I) ?. [+ J1 i7 G/ B. V(prompt "\n**SPURGEAR.LSP Loaded!")   I3 P+ C! \" S" }0 w
(prompt "\n Enter 'SG' to start") # ^8 j6 Y$ Z/ p5 H) {
;;;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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