function solve_nonl_single1% k* E0 W, Y) V+ D
clear all;clc/ f8 @) n) @8 y2 o( n
format long3 ^: }$ y, ~! `+ s D M+ y0 }/ i
global a
) z9 a ]3 ]2 y3 t7 Z/ z! S7 Ea_span=linspace(-0.06,0.06,200);
7 ^1 ^7 r& G0 d% r% @n=length(a_span);
7 m& @( ^ L" |. ^2 M2 M7 u2 e/ hx0=1e-9;% B2 m! d# z9 s% a- X) A/ N" R' l! s) \/ j
options=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);
* @6 T" w3 z+ J4 ~for i=1:n
) H0 R4 y9 F9 ]3 V4 T8 F+ V a=a_span(i);
8 o: Y0 G9 U3 i# m: @/ u. h x(i)=fsolve(@nonl,x0,options);
Q* n# f" F& ]6 ?) N y(i)=nonl(x(i));8 X6 D7 h4 g- N5 |5 o M
end7 ]5 i. p9 u% s9 U. A/ _
a_span', x',y'
9 W. d. Q" H$ B( u( W# Wfunction f=nonl(x), c% r/ ]. j/ d( r3 `
global a) q/ h5 P! Z. a, v& O
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));
% c: S3 y: o( z' {0 ~8 S
" G8 u0 n6 C3 _" k# r运行结果 ans =
1 K6 F' L! _, G6 M7 w i- c5 y7 z! { -0.060000000000000
/ C+ @, M2 P. k2 }& T8 _% R, d- n -0.059396984924623
' P/ L+ {& ?6 R' o, V -0.058793969849246- ?( M x# M- _
-0.058190954773869
6 L* \2 r. R( ^7 n: A0 L -0.057587939698492
2 F! _8 o, ~4 v' i3 a -0.056984924623116
+ D% T" |/ B X/ t: o" m% E2 b -0.056381909547739# j( i5 X- k& R+ I; ]0 J- @
-0.0557788944723628 U5 v( i! B4 I( X
-0.055175879396985
, U7 c' y& g$ S$ l% y3 E -0.054572864321608
5 f2 a. v" w6 c$ ?2 l% z -0.053969849246231+ E3 }% a$ J X8 I6 j) z# [' n
-0.0533668341708546 D; p( @$ U% E; e$ X
-0.052763819095477
8 f1 n7 z H# ` b4 k -0.052160804020100
+ s$ v( P1 l r2 B2 u6 b6 | -0.051557788944724
! ]$ u7 Y, h7 x f -0.050954773869347
Z' P2 L) F8 W -0.050351758793970
! G- g! p+ X: u1 c5 x -0.049748743718593
" S2 _, H* a. X$ o. B -0.049145728643216
" z. b- r9 E& R% E -0.048542713567839
7 Q3 p5 n% o' w0 p' K1 F$ K' U -0.047939698492462( R/ Z/ b2 K4 Q8 F
-0.047336683417085: K6 m0 |5 D+ @# ?. O) r1 q
-0.046733668341709
5 a1 [3 _# b6 z0 ?; W X -0.046130653266332$ B# A; q$ V1 M+ Q3 f. r1 b
-0.045527638190955. a# {* o- e! r4 t! }4 C. |
-0.044924623115578
* G5 Y; N1 _: [( o$ S/ l -0.044321608040201
' Y T2 ?: F- G% k/ p+ C1 \ -0.043718592964824
- p0 Y! A& t5 Y u7 G% i -0.043115577889447
* M; M' x! B a1 M$ h$ ~. G! Z -0.042512562814070
# Q1 y8 v. v5 @- r( f4 T6 R -0.041909547738693
3 X$ l9 b' }4 @5 \1 @7 R) p -0.041306532663317
8 X! G. S! H9 M8 a -0.040703517587940; d+ ~. x6 H0 W E5 c% P
-0.040100502512563 W6 A+ K9 [. p9 _
-0.039497487437186) F7 G2 t% T# P5 F& ~& `. G
-0.038894472361809, J5 }8 ^7 T/ L4 t+ l& d: ^% L
-0.038291457286432
) b e* x/ w8 T' `! \; {9 l -0.037688442211055
3 d6 [% M4 t7 Y! E: b5 a -0.037085427135678
# Z( l3 l8 [; ]8 L% V) L6 `3 ~" o8 U -0.036482412060302
4 e1 x9 V# q+ e. e -0.035879396984925
( B- h- l3 @3 }$ E+ \, X) o -0.035276381909548
3 _6 M `% M5 f -0.034673366834171
6 B) W& Y( x1 g -0.034070351758794
; m+ t6 B5 `1 e3 L x' R2 x -0.033467336683417
/ I! e) f9 a& D6 P -0.032864321608040
+ _) c; M& }( e$ H$ V4 g" X6 Z5 s# l -0.032261306532663; F- _. F, z. O: K
-0.031658291457286
: f4 j% L" m: m. R' Q7 a -0.0310552763819105 T7 F" p, \+ H4 Y* E! }5 k% ]
-0.030452261306533# M' F+ g5 w- V8 d Q* E2 n* s
-0.029849246231156: t5 Y8 s9 d* X# w$ a
-0.029246231155779
. S9 D ^# F/ v2 J4 m2 v+ O1 A -0.028643216080402
6 j$ C+ t3 v" y4 b5 c2 h0 _. r -0.0280402010050258 Z# H: v; Y! ] ?! d0 [
-0.027437185929648
. s6 ]& g6 \# G" @6 K% _& L H -0.026834170854271( @1 [7 N; ` c! ^; ^
-0.026231155778894
. k9 K+ I4 M6 H -0.025628140703518
" t- b( V9 z. x5 c- r4 ^ -0.0250251256281410 O& t0 S) e. q! ]+ G
-0.0244221105527647 |% a" p4 N& U g
-0.023819095477387
3 S1 b& C9 E: u) C+ g S -0.0232160804020102 L! O' u* q) x- D6 ~7 C
-0.022613065326633
7 a9 E& J, }" b -0.022010050251256
4 O& s; j# c3 J5 }. ?0 ~ -0.021407035175879
1 ]# d, }, K7 v$ W9 f -0.020804020100503
n$ _" K4 C6 R$ f% a -0.020201005025126
* U' r1 N6 O, ~! }7 C$ X, S/ ^ -0.019597989949749; j# @' X8 m( t" U4 c1 M
-0.018994974874372
) q/ E9 C9 Z0 A+ O -0.018391959798995
+ O1 U/ I5 _/ ]7 y# E -0.0177889447236189 @0 P; E7 G1 |1 y) v2 X
-0.017185929648241
0 W8 Z, k! m2 n1 C0 V+ p4 l- [: d# ^) N -0.016582914572864+ u- G# m5 w& X5 l( w( [% a& s
-0.015979899497487
' f' [, r; S, n8 W: z8 l2 N& k* v -0.015376884422111
& p# U; ~: Y+ K -0.0147738693467342 i1 V2 ~2 p1 [+ Y
-0.014170854271357$ L% V# D/ k8 f: P. n
-0.013567839195980
% E$ ^0 ~- V% u$ d* S -0.012964824120603+ p+ \* t! N6 b ]8 w, I
-0.0123618090452269 F! E; G, F# u9 l
-0.011758793969849/ @$ e$ H0 {; R/ k% D
-0.0111557788944720 x/ Q0 \# N& V3 b$ W( d0 g
-0.010552763819095
. @( r$ f; |3 c -0.009949748743719" n, S* D$ {2 R
-0.009346733668342
# @" i% m0 C" Y5 ? u; z% g# `8 M -0.008743718592965* u) Q* }/ I- ~8 c: u6 T
-0.008140703517588; ?" }7 z8 g! Q7 g& s% C0 Z
-0.007537688442211! m5 O# s3 z6 S7 H# X* a' K F
-0.0069346733668340 S, }" R' y9 X2 D1 U. P$ N$ k
-0.0063316582914577 x( h7 z* I9 L/ _( `3 |
-0.005728643216080
4 W' u* ?& Q+ ?" b" O! u -0.0051256281407046 v% ?/ s+ t4 _) J
-0.004522613065327
1 h# i" C% `9 w' ~/ E -0.0039195979899505 {7 {3 S0 z# j# C9 M2 V* E
-0.003316582914573! D5 {9 ]+ ~( E9 ?" a
-0.0027135678391967 Y3 I+ s. r* l6 N2 v1 Q6 A
-0.0021105527638190 b$ l c2 |8 C
-0.001507537688442) L D# q! u" [$ Y# U
-0.000904522613065" R4 H: k, `/ z! f. h1 N
-0.0003015075376881 _2 ]# p; r! K& J, s5 K; N9 N. R
0.000301507537688
6 @' J0 ]+ D; c5 ^" T$ A& F 0.000904522613065
5 l0 k% U& ~1 A6 S) }+ w 0.0015075376884421 @9 g0 [) w4 H1 s, u7 k& X) J
0.002110552763819
9 ^2 D- E( j E: o# { 0.002713567839196
4 |6 V! o# r$ i7 g4 Y% J, \ 0.003316582914573
* O2 s! K0 D' b5 m 0.003919597989950: L7 g+ Z! G( J
0.004522613065327& \+ ?" c) |! V
0.005125628140704/ u% p0 y$ Y1 K* g, y
0.005728643216080
* X, v. {3 l$ [ 0.006331658291457
8 F5 ^6 ~! P$ c 0.006934673366834
3 K6 [+ Z0 x- ^4 @0 w! j 0.0075376884422117 w) ^! ~! g0 ]7 i
0.008140703517588
* B7 f3 `0 X: h6 ]4 I 0.008743718592965
9 J( z7 d2 ]% T0 v 0.009346733668342- H" ^; I7 A0 z# c+ Z3 G
0.009949748743719( d+ y5 |5 b+ Q/ G3 u
0.010552763819095
, U$ y4 Y: o3 x# d- ] 0.0111557788944728 ^, u3 Z9 E/ b1 ?- K
0.011758793969849
* e) B6 r8 {* l" j 0.012361809045226
+ y& M8 i$ b5 D& B( P 0.012964824120603
+ `1 t* ~! Z1 n5 ^ 0.013567839195980- W, I/ T9 z! y/ }3 D8 w
0.0141708542713577 R M$ V. L: e* P o
0.0147738693467342 B* Q r- l. K. S! B' I
0.015376884422111: E! U: X" O4 U# ~' a$ W
0.015979899497487$ ?$ u& i2 a0 B
0.0165829145728648 J# [" }' k- a5 [/ [; w& L
0.017185929648241
, e3 f0 z% p% V& N. w- r 0.017788944723618
; |+ q% J' ^* i: s, H 0.0183919597989956 ^$ B" E R1 G6 H
0.018994974874372
3 A: p) L, A, ^ 0.0195979899497499 ?+ g* Y+ \4 V7 H, `
0.020201005025126
- }0 T, K7 T! y' F- w: a+ u 0.0208040201005037 L V2 [8 B8 E- R. R S6 H
0.021407035175879
W0 a _( T* \% o 0.022010050251256
, J- N, W. N4 _( t6 U( g; A/ u+ L7 k 0.022613065326633
. Q# g* r n3 z5 S( v4 D 0.023216080402010
: h0 e+ y6 K; S6 m! }+ p1 b 0.023819095477387) a n" M2 e! u/ D! m6 I% Q
0.024422110552764
; P9 M/ O' M0 a" m6 ? 0.025025125628141
" x% x! F' Y" ^& e @ 0.025628140703518- @ e5 q O5 g* I6 r4 P- [
0.026231155778894
& J% ]3 d6 `: V, F ] 0.026834170854271
% r* K* b' j& I 0.027437185929648
0 F0 b8 V, W: B4 q- e y7 P 0.028040201005025" E! l) D. f K0 l& I& T: |
0.028643216080402
2 F9 V* T* |/ q+ E9 N/ O5 Z 0.029246231155779& v. q* N, m" a, e! D
0.0298492462311562 e7 L; E S- v& @
0.030452261306533
- v" h; O% @5 A0 m 0.031055276381910- W: `" C5 ~% O2 I& y, t5 l
0.031658291457286' Y& `, q" r( C8 {
0.0322613065326632 k4 y1 C/ U" E* T9 ]7 W2 T. j
0.032864321608040
3 g0 T- Y4 V9 h% ]2 E0 B# H 0.033467336683417
8 { R# U; \$ L" ?8 C 0.034070351758794
- X3 [9 a+ e5 E& n- L 0.0346733668341710 U+ K, }! X: y7 @
0.035276381909548
& Q# [, g3 Q D. Q4 S2 p/ u 0.035879396984925
! h# b3 M# ~* T$ f; ^' r 0.036482412060302
" `$ l$ v3 _# Q 0.037085427135678+ b1 G! ?* s9 y" X; p
0.037688442211055
; F0 J: S M d4 ] 0.038291457286432
5 {; e( t; Y" J% a; z' ? 0.038894472361809 V$ R3 d: ~$ k2 G$ M2 @( n3 z
0.039497487437186, I' ~* M5 m$ D3 ~' O' G" s
0.040100502512563
! b, k9 n' z# ?& h 0.0407035175879405 ?0 {* Y" b7 t
0.0413065326633177 s4 l( m# B( f9 I
0.041909547738693
% s% f+ M2 L# \" s7 K 0.042512562814070& r& C( H+ v# O2 s# [
0.043115577889447
* T+ S- Y4 [/ k& c0 v 0.043718592964824
) O$ T; \0 j1 m0 O1 ` 0.0443216080402013 E& ]; @3 [: b: r. w. K% K
0.044924623115578# n; _- L8 S9 N# R0 `0 S
0.045527638190955+ h; Q" a2 C- f7 A
0.046130653266332
% Z5 o0 ?6 [6 l1 l4 X 0.046733668341709
& i4 O) F7 |) g- y' o$ | 0.047336683417085) E/ \9 ] T- e
0.047939698492462
% Q* s. A S+ M8 h/ g; g 0.048542713567839
8 ~, i6 T* o$ a! g- @1 @ 0.049145728643216
$ x+ r- j: I( k9 b# \ 0.049748743718593" r! ~: ?3 U+ N: x+ a
0.0503517587939703 S1 v$ E+ d4 v/ m0 o
0.050954773869347
- f* z5 p5 \$ h8 m1 w! W, e 0.051557788944724
9 ~+ q8 U+ N) ?+ [2 _' A2 q" x 0.052160804020101
7 Q: ^) H* G- w3 o. l) I 0.052763819095477
0 e) \- f, |* L" \' g 0.053366834170854/ R- t( I6 G# p* d& h- U& r0 z* k
0.0539698492462310 w O+ ^! O# q2 r
0.054572864321608
+ _% h0 {! b# p; y( `" V7 Z 0.055175879396985
( T1 e: Y( B4 [# [2 i7 G5 c 0.055778894472362
9 d- M% |5 a1 m 0.056381909547739
) o' `- S! y5 ]5 X; w 0.056984924623116
; L7 a' m# b" f" ?' n 0.057587939698492# I1 \* L/ Y( H J2 C# W
0.058190954773869
) |* }5 y0 x6 x) W 0.058793969849246! {0 }) E; A2 f( U
0.059396984924623/ N. d9 a( W" L/ s
0.060000000000000( i' q7 _5 `& x& T
3 e( y. Y, i( `: Y! u, o; |7 a w* F" M6 I+ u3 Q
ans =% }* K2 z3 f u; `% b
: d( t% m7 q1 I- S. w: f. r -1.0336895406537168 X" s! j, t& {4 k; `% O
-1.0136198278906912 g9 c+ t3 T( p3 t6 K4 F3 {2 r
-0.994621366531083
! k, [* v. x+ p* j -0.9765105340395043 Q$ y$ W: S" z
-0.959151639002957
: r$ W5 H z: E, ]: f2 w2 S) ~4 U -0.942440908631668
. R7 v& U( y. S9 a/ G# H' p" t. v -0.926296779035772
" n ]8 }/ c7 |. w: o7 e4 o -0.910653694311287+ d/ }3 V- q) T8 U) x6 t2 y: G
-0.895457976752101* z2 v8 V Q. f0 F$ ]
-0.880664979264975
5 j" _% \( w1 j8 p* x$ D0 \1 l -0.866237063671064
$ P( q' V* R% J$ i0 d -0.852142129100671
8 L( \+ e4 X1 q! U5 r# ` -0.8383525174605604 C( A6 s- n* G$ W. k
-0.824844183890339
' T. \* a( U" r+ x9 T -0.811596057546419
9 B4 i* S$ S2 }* S- k8 Q" e G4 s, h; M -0.798589541746273/ X' A ?* |; B: P& V/ b3 A
-0.7858081179181931 W3 i4 [4 e3 s6 I
-0.773237028068739
; y3 D6 E( k; i }& K9 M2 q0 m -0.760863017467603
6 F3 [6 j, C' X4 m9 C. w7 j0 F, Z -0.748674124097121# O" n. c) C* f p
-0.736659504835453
' o% F! n: L5 d" M -0.724809290796292
& _8 m) x5 J2 n' Z) y" ~# r -0.713114466033284
. d1 m2 X4 I/ b( R1 E* B -0.7015667651334526 A: a6 H* N% L- p+ [, @& p
-0.690158586205827
: j" ?" ` u D -0.678882916512848& A& F w' f3 Q. p
-0.667733268556930
; I& ~. _! D" r1 E* R -0.656703624869929
- {+ @0 F& _" G7 E% R1 O2 P -0.645788390090937
- s- ?+ T* ?2 q& y -0.634982349182892
9 F7 R$ s$ U* ~6 S% C; a% R -0.624280630847343
5 T/ n% |2 J0 [7 O -0.613678675363112
3 A' {- P3 W' G. T5 g- F: j -0.603172206207723# O/ _9 X" H0 R; v6 R
-0.592757204927887
$ _. {# P( V6 v -0.582429888812360& O6 w# O D1 N9 m
-0.572186690991612
% F/ V' p* k+ x7 [ -0.562024242646965
& g5 R, A9 l0 U+ g8 b6 q -0.5519393570600150 \2 y4 @$ X# {/ ? ?6 k
-0.541929015272840
7 q5 K8 V, n+ x4 m" z -0.531990353162879
! O" d+ |/ h* I- G -0.522120649763841) l! j$ z( ^, p% y" G7 p. t
-0.512317316687512
$ M; R9 V! o. m% [ -0.502577888520921$ a0 K$ H9 I) Q' G0 _% E+ M
-0.492900014089836
3 i& d' |# ^( {4 F; S+ \ -0.483281448493885
; d3 p9 Z) E' A$ v; o; w -0.473720045830499
5 {5 l" `* F# Z/ i% X, W. b: d -0.4642137525352631 G/ P1 t1 [, H1 X6 B
-0.454760601275071
+ ~* j$ t4 ]( P; k8 t -0.445358705338140
( `9 T$ y/ G' R9 B1 k -0.436006253471471
- `+ K: Y- s; o, ` H: o" B& m -0.426701505122098# K0 R3 k- z! c; @9 b$ \
-0.417442786043397- _8 T, x3 B/ b# D; [9 i; _
-0.408228484231992
2 f' S ^& X6 b A -0.399057046164675 f$ C6 H8 b6 o5 q/ |; }0 V
-0.3899269733079116 {5 i5 v# n( @1 N
-0.3808368188754995 k: C! E) p0 n) y
-0.371785184812454# ~+ e/ q: l- l, q9 U, K
-0.362770718985392( F0 N0 a0 @: \" L' I3 M! V W
-0.353792112561766
L4 K2 U1 N0 t) A/ a2 n -0.3448480975619347 R; R% h3 k' e; u: _& \& ]
-0.3359374445696702 K- b$ D Z: @! f
-0.327058960588106
. [7 e8 H& t$ \ -0.318211487029265
" P1 Q$ w6 K8 F& y8 d -0.309393897826506
( g' L/ \2 P% Y# {. ?2 }* a -0.3006050976601219 L4 e3 i. N5 [1 D$ p. I
-0.291844020287246
7 s8 o) k) E2 `0 i# ]; P, ^: t -0.283109626967980
. l! x* K1 C; _- a' K -0.274400904980369. S k" v5 D) a) `* l. X6 I
-0.265716866217476/ G" x' T: Y4 s% R$ ~8 Q, f
-0.257056545860381
( K* p0 B! q$ K" {; f: a( p -0.248419001121443) ^* N3 q- }$ g/ b2 V
-0.2398033100525974 p. o; e/ }+ W ^
-0.231208570413935. C0 U s% x& {2 \* E; |
-0.222633898598121# |9 Q% J* B, j$ p6 b$ @
-0.214078428606594" `/ g6 a: u0 d
-0.2055413110737919 F5 {7 O6 }! L- n
-0.197021712335900
1 v5 q# u! [- l/ k3 s6 c5 @+ d -0.188518813540922% q8 U3 O! R [! Q4 t* }- [ _9 W$ p
-0.180031809797061: Y5 L8 ?$ d2 y9 S5 m
-0.171559909356608& u/ D/ W6 w6 r( M/ I% `
-0.163102332832782
+ M9 ?' i5 P, Q( U. f4 H1 q -0.154658312447061. @3 i' n! }' x" w
-0.146227091304754
* R# U* R. I+ ~ -0.1378079226966917 z, j! w. L' _6 w4 x+ w! B, A" R
-0.129400069425041, ^2 M0 l9 U2 d i5 l, B
-0.1210028031513710 X: U$ [% ~( I' \+ j
-0.112615403765200
+ i) k& b0 M9 u5 n3 v9 H& Z -0.104237158771362# X0 w- V! `3 [
-0.095867362694613 ~& f8 a5 a, ^$ l
-0.087505316499959
! [6 [ _" U* x/ b5 C& `; Q1 D -0.0791503270273049 I: w/ ]9 U9 C, ^6 }
-0.070801706439035
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楼主: shouce
