function solve_nonl_single1
' f# C9 r( A9 l1 ~clear all;clc
* o3 n6 Z$ N) D+ }format long$ P# C# A$ p0 o( }+ f
global a2 j9 w" F% s( x6 q4 m% ?: ?, ?, |
a_span=linspace(-0.06,0.06,200);! D8 o4 @' w' A* ~) f& y! d
n=length(a_span);
2 J0 y3 @' y3 W2 l) jx0=1e-9;
; m( N# h, Q$ l1 G4 j0 X* uoptions=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);
t0 C$ L4 {& [. xfor i=1:n
8 H% ]; g7 u6 Q; f. {7 F a=a_span(i);* e! M9 A, R# I# U- |
x(i)=fsolve(@nonl,x0,options);
/ D2 p( l2 g8 T {* g( w y(i)=nonl(x(i));
( q0 z7 c! b( v4 l* h2 a5 Pend9 Q$ k6 d4 ^3 h
a_span', x',y'
; }6 W% |% q1 sfunction f=nonl(x)2 @/ b- w; i# p1 h% ]$ Q1 R
global a! e: D. u2 q5 [7 r
f=1/2*(285+60)*3000*sin(x)-1/2*(25*sin(x)*sin(a)+(60-25*cos(x))*cos(a))*3000*sin(x)+60^2*25*sin(x)*a*sin(a)-60^2*25*cos(x)*a*cos(a)-60*285*(25*cos(x)*sin(a)+25*sin(x)*cos(a));
; r& ? `; k5 ?$ W
9 u7 b/ e: _2 I运行结果 ans =
8 R2 L. Y, f: T7 F. z6 o( L+ h& L -0.060000000000000
; g6 @8 ^) ~/ F9 H4 f5 i -0.059396984924623& L1 x$ s I; s, H7 O: _/ x$ u
-0.058793969849246$ i7 W& m3 K/ a. T; k9 Q6 q
-0.058190954773869
& v) ^; R4 s1 Y: {% l% } -0.057587939698492
2 x. T6 ]2 J5 W& f& Y2 o -0.056984924623116
8 @- s2 V, m7 H: m6 }8 U( C -0.056381909547739
: |% E1 E& X' ~; j& M -0.055778894472362* j! t. v5 Q3 u+ F e
-0.055175879396985
5 ~# _8 i* I ^, | -0.0545728643216082 w9 ?% L8 z# Y5 a! q: H
-0.053969849246231
\: T' f7 ]- x5 c* p; Q' o+ L) a -0.053366834170854; W& b8 b) [( N0 W( c3 X! r
-0.052763819095477* p8 H9 `( J! ?: n4 }
-0.0521608040201004 _( L! u: O' T& M E' B
-0.051557788944724% D# w* a# ]8 w) w
-0.0509547738693472 r3 ~5 z7 v9 |8 D L
-0.050351758793970
" ]! y, _3 J* O: ^/ i -0.0497487437185936 F; x/ E: p9 D% v
-0.049145728643216
4 j) F5 i6 {3 V -0.048542713567839
H# s5 v" C4 s" r -0.047939698492462: x# X k1 e5 P% i
-0.047336683417085( I% t* N$ w$ s$ x/ e+ |* ~& W' d
-0.046733668341709
: T* H" h9 V: J7 p7 I& { -0.0461306532663325 N3 j# m3 q; z' k
-0.045527638190955
# ]+ h) _, O' p# n -0.044924623115578
6 Y, `+ _. m- C9 k" D3 O -0.0443216080402013 D0 j9 R% h: X1 v8 x9 p
-0.043718592964824
; d3 ?, W l/ u% k -0.0431155778894477 v) ]6 N! p# V% U4 o$ E k5 d
-0.042512562814070
; X+ v/ L/ h( i4 I -0.041909547738693/ ]% j8 [- ?% ]7 S$ ?' l, R
-0.041306532663317
* F! A, s# C" z, t0 A) q -0.040703517587940$ m& m8 G* h6 D: K9 d* ^
-0.0401005025125634 }/ Z5 |! I3 }$ M' d' d0 L4 c
-0.0394974874371865 ^) V. ]1 }7 b: b; W
-0.038894472361809. F" w8 |. Q p/ ?/ O5 T e
-0.038291457286432
# w7 s0 }1 @& v4 B6 C4 K -0.0376884422110554 v K, s, z7 H+ ~( \, a
-0.037085427135678) N3 Y8 ^1 E: K( t. A/ \
-0.036482412060302
. D; e3 z# p8 T- x -0.035879396984925
* W5 \( ]6 l/ s+ b# \ -0.035276381909548# }3 ]( F9 z- X. R/ A+ V4 j& u
-0.034673366834171
2 G! X' [7 L( k -0.034070351758794
6 F+ S2 f' O1 }: `( R; `" P -0.033467336683417
% @$ l5 a( R" E3 B, P) c* t7 @5 P% p -0.0328643216080404 x6 L! o# _9 ^7 J" [. S, s
-0.032261306532663
' o4 B. a8 M1 ~6 z( Z, O -0.031658291457286
/ D4 o5 @" ?. } -0.0310552763819105 }! j* m/ K( i5 }$ j
-0.030452261306533( t6 f7 n7 N/ i7 X3 a, W: m
-0.029849246231156
' {5 {: g+ |% u& d -0.029246231155779' t6 K1 Y$ a" l6 K! J- f
-0.028643216080402
. x. f$ |; p- W0 Q -0.028040201005025
. X) V) k" V! J' ` o -0.0274371859296480 e+ M0 D* w- Y% T
-0.026834170854271
9 `* S( q" h! a: i -0.026231155778894' @* e6 m5 z4 a! K. T$ b
-0.025628140703518- h4 P/ W4 M' K7 ` T& _
-0.025025125628141% c$ V- z1 T3 E" [+ w% n
-0.024422110552764
1 t9 u; X9 b0 w- I$ ` -0.023819095477387. b& t1 u- ^ w+ N& w9 {
-0.023216080402010
1 n7 ~7 H1 s2 S" E -0.022613065326633
+ O g \6 o; P; I+ G! T# _/ p* P -0.022010050251256
2 k K$ _9 }. Q. L3 B+ _+ }: W -0.021407035175879 v5 F! C. D' G7 U ^% `
-0.020804020100503* X3 N# ]: ?4 f
-0.020201005025126/ Z* b: M8 f# g' U+ R, e6 G
-0.019597989949749
6 B: Q( W4 C4 t- R& ]. r6 C -0.018994974874372: P+ [) v5 U- t) }# r$ G
-0.018391959798995
R$ P* ]. K6 z+ z. P# { -0.017788944723618: i* e, L* W4 o) C$ p
-0.0171859296482413 Z1 ~3 v8 [% M i+ Y; i* B
-0.0165829145728644 M; k' d5 z, T: {7 O
-0.015979899497487
: B |2 M- N( {! s+ c, @ -0.015376884422111
0 o: x4 E4 f E" p' D -0.014773869346734
/ X6 z2 \" K7 e, s3 E& f -0.0141708542713574 T' Q1 x8 I) N8 @
-0.0135678391959800 F+ w1 [/ D2 E; _) P# t0 {# d
-0.012964824120603
! c! [. O5 ~4 e, C -0.012361809045226
6 V; P$ O0 {. ~ -0.011758793969849
a P5 j- y. Z. Q -0.011155778894472! A& U" A8 h& G
-0.010552763819095
8 k7 |6 B4 l. g' v- U+ } D& t -0.009949748743719
4 G( c v. H& U! D! b# c/ B -0.009346733668342
! g8 f9 ]& s- l6 D0 S -0.008743718592965' P- a% e$ H: L4 M3 \) n
-0.0081407035175886 k* a( Z% h' z" m( c6 f: ~% ^
-0.007537688442211- @1 `# g. T2 s7 P( t% W Q& J! s0 D5 K8 }
-0.006934673366834
! v1 H# i' z8 h F -0.006331658291457
; F/ X, U2 \* n -0.0057286432160802 [, [% Q% J W
-0.005125628140704
0 e- A3 }0 A Y -0.004522613065327) q# |, s5 }* |6 u' X
-0.003919597989950+ Z9 e; W& g) w j
-0.003316582914573: _- Y4 q) X8 P# A+ K8 v
-0.002713567839196
: z6 M% y2 ? l7 n -0.0021105527638191 d8 W& m; l1 A U" ~
-0.001507537688442- j: i. T4 ^" ^
-0.000904522613065
" f4 _3 D% M* w U( | -0.000301507537688$ ? V% H0 L" H- n D
0.000301507537688
2 C W; [2 ^& A4 n( J 0.000904522613065
+ w' K) ]1 x6 ^6 [1 d+ ` 0.001507537688442" @. E; C, m/ Q- F# w/ k# d
0.0021105527638199 `: I% Q/ o% z9 t; E
0.002713567839196+ d; ?. y( J0 |. M' A/ g; v+ `
0.003316582914573
! n. A% q9 d$ f1 T0 D8 W) K 0.0039195979899502 I$ \, @5 z* h1 \* L& G
0.004522613065327
2 z2 H4 m$ ?4 t* b6 Q T* P 0.005125628140704
* {; t5 L1 a; Q. O: e: Y 0.005728643216080& Z, U* N# h+ P0 h6 {& P$ y
0.006331658291457* M3 L" o p$ b+ H
0.006934673366834
2 m z: _ N) l$ C 0.007537688442211
- n- M: y ^! [8 w& b& i5 ]$ I 0.008140703517588' T, d( W4 v9 j1 Q
0.008743718592965
! x( u) @- F, v$ X* |, p# ^ 0.009346733668342
8 p b, K, g K- E. A 0.009949748743719: k/ E' u, a) J1 ~0 w( M, k
0.010552763819095
4 A3 _# S9 G% j7 Y 0.011155778894472" X9 [% n- l5 A x# t8 t9 e' p
0.011758793969849
8 x* f! G4 k6 {/ Q& q* N3 o 0.012361809045226& v/ l% ^2 V9 A+ R3 X- G* K
0.012964824120603
) `6 e2 ^( n. A! ?: t' h4 m4 z 0.013567839195980
* |4 r$ L% Q1 J: [# t: @( g! l7 k 0.014170854271357
2 V T2 \7 x8 S& F: t C4 H+ z 0.014773869346734
) K+ g, L5 @$ F* V, B* _: q/ T 0.015376884422111) t5 ]0 {% w1 F/ L
0.015979899497487, w" }, X. ~0 g2 M7 ]( r
0.016582914572864$ V a( v* e; \- B4 b
0.017185929648241
* x0 Y0 Q1 ^0 |# m0 W 0.017788944723618+ y4 G6 A( m& } k
0.018391959798995" u( {5 O- G* G$ b) z; |" o& p! h/ h3 `
0.0189949748743721 b* N2 A3 z( L* f2 ~
0.019597989949749
0 h- q% c1 ?2 L& I7 Q( U( V( [ 0.020201005025126
& w' W8 t2 X2 G+ W 0.020804020100503
2 V* g. |) N/ s, v 0.021407035175879: V/ @& e. h3 x% A; y. g
0.0220100502512560 N8 F2 l2 ?9 d4 ]
0.022613065326633
" d" V% m4 q$ R7 ~! p- a, E 0.023216080402010
0 I$ ]) g8 [8 u 0.023819095477387; U3 H3 f. F2 q u l% p' w. d
0.024422110552764" a8 u$ b; \- S" O! a( T
0.025025125628141: z( \0 @5 [( b( I x
0.025628140703518! H6 y( d) q- n: ?
0.026231155778894; t& B+ ~0 `5 s# n* ^
0.026834170854271
' r! F* \, ~2 x4 O' `( { 0.0274371859296486 @, M: I4 N' x: d
0.028040201005025
# u) u; ?& p# w- ~0 G9 O9 N: c. I5 | 0.028643216080402
F- {7 i% d2 N2 [+ b* |1 Y) j k 0.0292462311557799 R3 H. A; ]: e9 G0 H9 \
0.029849246231156
7 f' p$ I' `4 D' b; H4 G9 ~8 a 0.030452261306533
0 x- |0 [7 E7 q+ B# S: P: m0 n 0.031055276381910( `% f! w; ~' d- b. m
0.0316582914572863 T. r- u5 z! m/ u S. e9 d M7 T
0.032261306532663
& @ r' E2 m0 K 0.032864321608040, f$ O/ v. C* P% m$ X: l
0.033467336683417* N& X( Z. h7 F; Q% T! B. i b
0.0340703517587945 x' S% {! t7 o7 z+ t p# v1 I6 f% t: [
0.034673366834171
) ]' x6 u- @0 D( C% p! ? 0.0352763819095482 T' t' o8 D) p! p
0.035879396984925
6 Z" b! B0 p( E6 n6 j0 o 0.036482412060302- V7 j) K c6 A0 U; q" D4 W1 q. T; K+ a
0.037085427135678
y6 {# H, m( T X 0.0376884422110559 K. t3 O; n' [% c
0.038291457286432- I) J, c; G. Q5 w% E" [# C8 O
0.038894472361809
( r1 e' x/ G; f# Z, w; j 0.039497487437186
1 s1 b B$ k% F0 ~+ o. a 0.040100502512563! E" ~* P+ I! C: k. T
0.0407035175879408 \. k8 c1 C+ F! a8 p
0.041306532663317* `- x3 Z5 A2 z# R- |
0.041909547738693
4 D/ N. E v+ }8 k 0.042512562814070' ?: u6 ^* ~$ f3 b7 J
0.043115577889447
# S; [$ j" X' H1 h 0.043718592964824* F6 B, ^+ A1 j. l. }5 Q7 o# t
0.044321608040201
9 G8 g1 w0 M4 X7 [1 s7 e; {1 n J 0.044924623115578* I7 s, B3 i u6 g4 O* E1 }
0.0455276381909557 P/ R2 b5 R7 t8 c9 o
0.046130653266332
" [2 D; y8 i" h 0.046733668341709
" G" B7 H% q2 Q5 P- @; D, ` 0.047336683417085
3 @& y1 Q* W: Q0 i# L" q 0.047939698492462$ p2 R+ f( n. l# [
0.048542713567839
6 P% V" S+ u: `- ] 0.049145728643216
( R7 Z" \6 v& L6 {9 T 0.049748743718593& B7 C+ k2 j5 n! {6 m4 M4 p$ b
0.050351758793970
% r: q F$ y0 r2 b* t/ Y# I1 N8 u 0.050954773869347# ^4 ^+ E r$ m7 r
0.051557788944724
5 p( b7 s/ h7 v2 J, i/ ? 0.052160804020101
* W- R+ b9 `, O! e9 g2 {' I, T, [ 0.0527638190954774 }6 U" E. O1 [* T' F3 o* p. W
0.053366834170854
( |5 y6 M8 b# v+ h. N8 g# w! X. q 0.053969849246231
- C% `5 Q3 i7 ~/ `6 X 0.054572864321608. z* ?) q- _) y) X: P% g2 d
0.055175879396985: D0 W& H |. x3 u q
0.0557788944723623 n# l3 c0 o5 u2 a1 i2 x, l
0.056381909547739( k* D* R5 M) [( ~
0.056984924623116
2 F _" O9 x6 O 0.057587939698492
! c+ y6 I4 C4 \) E8 D 0.058190954773869
; }6 _; {# G, V( W7 H# w }5 A 0.058793969849246
1 @- V4 `. ]' K( b: ^5 \ 0.059396984924623
5 W" {2 V& I; a; T+ p 0.060000000000000
: J5 Z0 K, p: c3 T# C; i; O5 s% R7 D/ E7 s7 f6 h! ~6 R1 V0 w
S; t) B* D8 M. Q4 Fans =
' M! D" @7 v* A7 z$ g# v: i% H/ `) s
* r5 g n) F* Y& ?8 C- _2 H& q -1.033689540653716
: {: e) L6 u& R! I d, ]& I -1.013619827890691
( x1 B1 f0 ^7 ]- ]# F7 h- L2 q( J -0.994621366531083
0 H! Q8 n( ?! W+ {! e3 v3 } -0.976510534039504
9 K' Y/ Y. {5 R( U F -0.959151639002957
( m* n# W: p6 F -0.942440908631668
) ?7 S8 F( X- ]# D -0.926296779035772
* r4 g- d X4 u# ~. @ -0.910653694311287
) [# e4 r T5 i! i! _ -0.895457976752101
* k: W$ e W1 H9 f2 j$ d0 O -0.880664979264975; ~! S1 E# c. V$ y v6 |1 `; L
-0.8662370636710643 M- N) j# w8 R0 {4 O- ^
-0.852142129100671
6 w. W" P9 e3 \$ {" v9 r5 c H6 b) P -0.838352517460560# o0 G6 ? r$ l& ^
-0.824844183890339 B5 p$ x; Z, Y' v- I; z
-0.8115960575464197 Q4 Q; N4 J" e# L2 \3 {* \
-0.798589541746273+ E* |+ k* q# f9 K( m
-0.785808117918193' T1 x( {5 O9 M _
-0.773237028068739
& G* _2 m% i, R$ r* m; h( l -0.760863017467603
' W& |. |' g! O9 ?8 V `! C9 H -0.748674124097121& P( U, ?$ l, k1 T9 M+ F% k m ^
-0.736659504835453% F7 w- c% ] Z& |. K9 T: H$ O
-0.724809290796292
' U# q* W9 s( |/ ?' i$ M -0.713114466033284* D6 Z; _+ {/ z' m. v5 F" P/ e0 R
-0.701566765133452
! G) L( ~2 r% y) I -0.690158586205827
& k! A. n0 P, }, y, w -0.678882916512848
. f3 ^; o" y+ p. g: S1 w, m -0.667733268556930/ r: ^2 v. ]& N
-0.656703624869929& Z# B/ p7 N Y2 Y+ P5 w4 W) _ T
-0.645788390090937
, u* E. F. m2 u- Q/ ]( F -0.6349823491828929 b9 ]9 j# d" v: w
-0.6242806308473432 B! Y, ^, v# }3 w7 }1 M5 p
-0.6136786753631125 ]. B$ M' E% ~9 @% d$ L
-0.603172206207723+ p. u7 L$ F" Y" V8 m
-0.592757204927887
$ I' e+ f5 v7 R -0.582429888812360
8 M0 b7 J/ [* Y# ` -0.5721866909916122 E7 P0 t9 E( _
-0.562024242646965
; G- a- W- l, k0 K# | -0.551939357060015
3 G- \1 ]% U+ k! D6 [# ~ -0.541929015272840
0 p& s, y* g8 H, e& U# v$ T -0.531990353162879) x. ^ f4 g8 _: ?
-0.5221206497638414 i8 L* D: H; y
-0.512317316687512
9 o5 O [0 u# ~9 m, Q3 F -0.502577888520921( k& S% _# D& o4 J
-0.492900014089836' Y/ k, D* a# v% b
-0.483281448493885
: q7 J$ W3 Z/ i -0.473720045830499
" t9 J9 {& e B- U- C8 k -0.464213752535263
3 c% E0 G# t' F2 @* k5 O -0.454760601275071
: ]8 a2 A- ^" S1 g5 j -0.445358705338140
+ @( @- y* {% }- i -0.436006253471471& i0 I/ s* n0 t( C
-0.426701505122098
) }; c5 q$ N# R0 Q, x' M, I -0.417442786043397
3 d9 V7 j- s5 ~1 S! i+ T8 R -0.408228484231992
* t4 x- D- J; [; Z -0.399057046164675- v0 e) _, i! \# Y4 G; D7 ^
-0.389926973307911
8 R5 T% S3 }1 _5 q. K -0.380836818875499
2 n4 ^- i6 _* t" q& P! U4 c -0.371785184812454# E* k" _1 ^, C- }& b1 J w/ ]. M
-0.362770718985392
4 j: q! A. k m3 N; @. p3 F+ U& U% ` -0.353792112561766# z t0 H* h( i% s0 {! o
-0.344848097561934& q# X% J3 g( d4 @
-0.335937444569670
1 |; x" v0 G/ U, B9 N6 h- C: P -0.3270589605881062 E- O; [4 e0 |6 ?% Q
-0.318211487029265 R, O) s4 H: q7 }2 g* S
-0.309393897826506: t5 `& |! B m$ d( N- Z8 ?# L
-0.300605097660121
8 E! x2 P3 P0 Q: {: K -0.291844020287246/ H9 |* r. j; Q( J
-0.283109626967980' E7 c+ j* s5 H. c/ C7 v& \# n
-0.274400904980369
. R: ?: x5 A% l -0.265716866217476' h8 g% k9 o, d
-0.257056545860381
" j5 @. D; E: |4 m -0.2484190011214436 V8 W0 f+ O- u9 I
-0.239803310052597+ `, b' X4 m, P/ Z# Y
-0.231208570413935
8 C" I7 T/ G, K9 u( ?$ X" Z -0.222633898598121/ @6 Z7 O4 u+ o! D5 v) D# g# q/ I8 d, f0 Z
-0.2140784286065942 k0 D9 |8 c& m. [ p; ~& D
-0.205541311073791
3 f5 E6 B* d& U3 ?* u1 n; l% Q -0.197021712335900
/ m* _6 z% q6 X# g -0.188518813540922
5 W) H) _+ v8 o0 k' r6 `& ?8 q -0.1800318097970616 F7 B; h- `" g) Z
-0.171559909356608
1 i3 k2 K/ `. R7 R* V' S -0.163102332832782" l- S; {3 b: _, k) |$ U* p. D
-0.154658312447061
7 T' n; N9 M# X3 \, f( H -0.146227091304754, M' k I; j- A% r3 L
-0.137807922696691/ p0 L' I- H0 F5 }" r
-0.1294000694250413 K% Y8 I- G6 k7 G4 r3 k; T! d
-0.121002803151371
h; F) ]* [& {0 U& _ -0.112615403765200
$ j) K$ R# H& U$ V: j -0.1042371587713627 V' z2 w: x9 p/ \8 P& l7 r
-0.095867362694613' V2 _- V2 @- c
-0.087505316499959
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楼主: shouce
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