function solve_nonl_single1
( _" ]3 ~ w$ T3 o. d8 Tclear all;clc0 b) x( T3 P, C- @' v9 G; R( u
format long! s4 l) m0 x5 ?* m
global a: h7 Z) H1 ]: B) E: B) ~
a_span=linspace(-0.06,0.06,200);
, I8 ^4 @, ^* h" y. L0 b: Dn=length(a_span);1 M0 y: G1 n8 @7 A
x0=1e-9;
. C( f( @5 l& @options=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);
6 u" p3 f' D& p& z# h- m, `& lfor i=1:n6 a- i5 P; ?1 G: X3 Z7 p9 R
a=a_span(i);: K( K) S) N8 ^: ~& c
x(i)=fsolve(@nonl,x0,options);7 J3 V9 P5 z2 {5 z
y(i)=nonl(x(i));6 m, ]1 C3 s' V: \5 F
end V4 O- t+ K; c% F2 p
a_span', x',y'
2 }* S+ v; V4 Q/ Qfunction f=nonl(x)/ z" I! ]$ _7 u1 a8 `5 Y
global a
: a( x2 y. ]( @3 y0 y3 Sf=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));1 x( K+ y0 _& c1 t. ~; g' ?4 n! O
! \1 `/ M1 e3 l/ o: N- U
运行结果 ans =3 f, X: E3 K# L* W$ A1 X
-0.060000000000000% ^' _& B# n7 t k
-0.059396984924623# k% P, q. x& z$ W2 h# o; p
-0.058793969849246
0 ]# P0 C9 X" D. L5 w -0.058190954773869
' P( j3 |, Q4 H7 B0 v0 r -0.057587939698492
+ `& C* e: Y# n9 x$ Y -0.0569849246231164 H6 }) I- [, v" m2 w1 z
-0.056381909547739
" b' m3 @' L# { |2 e3 C) e8 l -0.055778894472362- G2 \" y J- l& P2 r! K
-0.055175879396985; Y5 N$ A7 U/ h" t
-0.054572864321608 {! P# b! F4 I% y1 L
-0.053969849246231
' Q* `8 V- U& }- d: O$ r -0.053366834170854
1 X. p- o6 @6 E( F/ } -0.0527638190954771 }( ~& ~0 }3 x3 t7 e
-0.0521608040201003 O3 `3 _. r. B" Z* a- ?7 I
-0.051557788944724
3 b# X* w& p0 f# V" E -0.050954773869347) f W H' L# O; Y2 v; q" S& P( F
-0.0503517587939700 W' d6 q. \( K& R/ r
-0.0497487437185939 ^0 r$ r3 e! E+ `; e7 J% f
-0.049145728643216
7 F5 Q' o2 u4 }. j -0.048542713567839/ s# N5 |9 C& Y: }# w
-0.047939698492462, H* ]4 X: @" `) N e3 Z
-0.047336683417085
1 P1 P/ {& ^" F0 K" T7 K7 P% j -0.046733668341709
; o) o( }, o" P- p4 n. | -0.046130653266332
( T$ D4 N. U. ^3 H -0.045527638190955* i7 x' _, _% B! H! K
-0.044924623115578; |) D: n" X# Y X+ Y" O
-0.044321608040201/ `0 W1 I* z: W& x/ h
-0.043718592964824; m! K4 c5 U4 V' {. u5 K% ^( t
-0.0431155778894473 m7 ?, S7 k) y* i# \" h, e3 U7 O
-0.0425125628140708 V o9 t) k* ?% O, ~
-0.041909547738693
* m% F$ C0 X1 E -0.041306532663317$ s1 P$ h! [; Q$ Z2 U& h; F0 e" J, u
-0.040703517587940
+ q# G8 u& ?5 H -0.0401005025125630 B) |2 x1 U; s2 H! e- o
-0.039497487437186
( r( q- X/ f! s: u -0.038894472361809
% B& \) R! B8 N -0.038291457286432
g8 `: Q: T# w" D% O -0.037688442211055
* l. F$ b9 Y' F9 Z N6 t6 t# C+ F -0.037085427135678
) ~# k$ o1 L! X( u* D -0.036482412060302; M0 ]* a/ J7 ?! Y1 @9 S) ]6 ]& L
-0.0358793969849253 W1 t! n: T2 @) F9 F
-0.035276381909548, X. V% w( C' ~5 ~/ m4 y1 J
-0.034673366834171" D+ z/ I" W9 V% c- f: p/ U6 m
-0.034070351758794* W8 U% @* X. V# D
-0.033467336683417! L" T: p+ Y- p% n; K9 z
-0.032864321608040: R' E* H& B: H, Y* H
-0.032261306532663
/ `5 [4 n) O1 g4 I6 w* m2 [ -0.031658291457286
0 C6 L$ v0 k/ K5 G. K1 k/ Z+ H -0.0310552763819107 Z: y; k1 f; c
-0.030452261306533& f, p# b+ s G
-0.029849246231156
3 Z9 m' w8 n/ z( T7 g+ o t -0.029246231155779
0 d' P1 r9 d3 f, n$ O -0.028643216080402
r& l( y! d% t. X) A" G -0.028040201005025) ]* T5 ^5 B8 u4 g V' m- k
-0.027437185929648
2 ?& o5 o% a: o -0.026834170854271
- t" d: ~. z0 k) W" M; f; B -0.026231155778894
9 G! N3 G/ m/ e% S. m- B% J4 } -0.025628140703518& E# T1 g+ i* l( S2 P$ f# o
-0.025025125628141
9 Z; ?* W$ _8 d0 x& @, e -0.024422110552764
4 p' c M' B3 w& `! G9 ]! K -0.0238190954773872 n5 t" m5 ~" b; a, u [+ p
-0.023216080402010" H( w2 N6 [ U, R) B- F; A, h
-0.022613065326633
0 u9 O$ e+ C. |- u7 e: Q; q+ o -0.022010050251256
! @+ A9 E, U! J% j, p" B -0.021407035175879: E, e' V1 X% J) n5 W
-0.020804020100503
2 k. W6 l9 v) Z- G -0.020201005025126 C$ ~# A+ S) A! H" {2 a/ ]0 F
-0.019597989949749
3 _% \( ` {5 M( b3 m0 O; M -0.018994974874372
; Z$ e. K( [$ n8 r- q -0.018391959798995. p7 Q6 Q! y7 P& f Y
-0.017788944723618
& @. l! a& K: }# y* R: _ -0.017185929648241
6 e1 h0 w3 T3 R; H0 ^8 t -0.0165829145728645 {+ I5 x6 b6 D# p! p
-0.0159798994974874 b2 n; S) C, X
-0.015376884422111: {& q* E5 M1 e9 V
-0.014773869346734
9 M t m8 D }: F& Z! o8 K k4 R' v -0.0141708542713576 y4 V: G) D6 T k- J
-0.013567839195980. @9 J- e: g/ Z! {5 a, S
-0.012964824120603- H/ J6 N- ~- ~0 V, a7 j- M
-0.012361809045226
( @, @7 z' Q0 U$ h8 `4 f* l" ~ -0.011758793969849
6 d9 F# X# A( `* s8 S% a7 N -0.011155778894472
3 v1 B+ Y+ f7 r0 ^/ B -0.010552763819095
4 o; F: J1 D* ^1 o -0.009949748743719
6 {' N; z; o8 @7 K -0.0093467336683426 {0 `* c; R& L1 [# X9 b4 B6 I
-0.0087437185929656 s/ k' U! h1 K! E5 b) D
-0.008140703517588
+ f+ s. h; t) D( h& g, k -0.0075376884422116 H! n) r- `6 w; [2 D- {2 m
-0.006934673366834' q- k" ?! G" O
-0.006331658291457
. j; U% |' r$ d( k -0.005728643216080
) P( \# c8 H" ~# ^ -0.005125628140704
( i& j6 y, d4 }: { -0.004522613065327# a2 ?7 w9 Z5 Z/ ~2 o' b
-0.003919597989950
$ j/ w# I+ |: e* { -0.0033165829145730 R; l: r l; c
-0.002713567839196) S n8 U! r" p8 Q$ l8 _
-0.0021105527638195 H. \: F+ i. X! O& I0 Q
-0.001507537688442
9 ^% d/ k0 J! A$ I( r" M: u/ O -0.000904522613065
( m7 m2 \ K% Y -0.000301507537688
& q! a1 Q: K# {0 L9 C 0.000301507537688
/ O# W z& B* ~: w& M: c& J0 F 0.000904522613065
7 X$ |2 `; g5 {( ?2 u6 \: N2 j 0.0015075376884420 l( q' p* a, p
0.0021105527638196 t% ?" i( B# i% g3 z' i" m& D
0.0027135678391965 i$ u$ H- G: s* ^6 H7 e/ v
0.003316582914573
+ F/ J5 v" H5 k9 w5 V/ h 0.003919597989950
4 v" a8 f: a" y i 0.004522613065327
# ?2 G6 H K/ E5 B% n 0.0051256281407047 g2 p7 p! n' D2 j) }# {( e
0.005728643216080
, v% }# E% J6 S" f% F/ Y* J( } 0.006331658291457
- c" l, W9 t8 I# l& E6 p$ I4 g) F 0.006934673366834
' {$ E& W$ W6 M( P 0.007537688442211
c4 `- `' Y4 l- H 0.0081407035175885 r! h* }% C( O: H& q
0.008743718592965
9 ?# z- V9 P8 j7 D- @( `6 @$ v" v( B 0.009346733668342* m* {- B; C X5 o7 ~
0.0099497487437197 U% `; ~- U5 ?; p! P! J
0.010552763819095# X, B4 A- z+ e3 M9 e4 P ~
0.011155778894472% r& P8 U, F9 d5 O# Q
0.011758793969849
& @% Z5 o8 c) t! M1 V! S 0.0123618090452269 l" a5 M' p! |# I+ {1 G9 L
0.012964824120603, M; F* t- _& Z! k8 h
0.013567839195980
9 }/ R- k2 C# f- e! \2 Y4 D 0.014170854271357( B3 o0 r/ i, d2 G
0.014773869346734* `3 j+ a+ j3 [) T t
0.015376884422111
. Q2 Z5 H( v+ [# {& h- O$ ~, h 0.015979899497487" V4 ^# ]% B, `# p. f" l! G
0.016582914572864+ W' R! k. ?! V; g D
0.017185929648241
+ q7 ]5 X7 w; \+ }# B4 H6 \7 ^ 0.0177889447236189 t3 M4 j- t/ i8 C
0.018391959798995! f; b! R9 q$ u# J+ V) J
0.018994974874372' ?! y5 z" j" [ P. b+ L
0.019597989949749# n1 K% P# O0 d# u2 \: c) q" D$ g
0.020201005025126- I/ _4 j% O1 }6 K$ X. `! ?
0.020804020100503
2 g: U7 p9 x- M% j: W3 V) { 0.021407035175879
/ a; g- f$ F e4 d 0.022010050251256) Z! w/ P5 |4 h8 l, {
0.022613065326633# |/ W6 \6 ^7 e
0.023216080402010
, I, Y/ E1 {# h* C: a8 J! f 0.0238190954773877 {% P5 c3 t; G3 a8 z4 X
0.024422110552764
3 J5 V+ f$ A$ F; U6 o 0.025025125628141
9 S3 ?$ N0 }0 P U$ p$ }% ~! A# k 0.025628140703518# S- d- |: j2 r# }9 o
0.026231155778894
# [$ F8 D0 g/ q+ c: W1 L$ ` 0.026834170854271* D. \. d" L; j* v5 n
0.027437185929648
7 o4 @4 |# \0 c" v P* c 0.028040201005025
) h# U4 m a% o9 ^5 Y" r 0.028643216080402% N! {& i7 x/ d- m7 D
0.029246231155779
9 u. h8 R. U/ S- k 0.029849246231156
# Q/ K0 Z5 N, J( U8 b 0.030452261306533: U# r" m @; ~/ ]0 s
0.0310552763819105 Z1 ]; Z/ p) H$ _( a% U0 ]. Y
0.031658291457286 r: U7 j7 l b0 l' [8 @$ S3 O; J
0.032261306532663
4 f" F5 |8 c( U1 G* x! Y9 ~ 0.032864321608040, ?3 `( P8 j9 Y6 ^1 [# l( ?7 O
0.033467336683417
5 ]# M. c1 @8 W- `0 [ A2 D 0.034070351758794
3 _ o3 w0 h+ Q7 y" C' j" ^ 0.034673366834171
% g. ?6 h; ^5 D& g( Z0 i 0.035276381909548/ s _4 S1 _# S* n4 Y) @/ S; L6 I
0.035879396984925
' \, m: d. c I" `5 k9 y 0.036482412060302
/ b/ b# p% w* j 0.037085427135678
7 d2 @/ ]! D' M! W" l 0.0376884422110559 m2 b* n! f' b0 y+ }
0.038291457286432
9 R b2 R" R. f% ^ 0.038894472361809
/ I+ k$ c0 F( D 0.039497487437186" H& Q0 p/ w# ]) ~4 @7 j
0.0401005025125633 F( R5 L0 o z. y
0.040703517587940
' L7 {5 c" q4 S5 d) s0 r! r( ^( x 0.041306532663317: L; ^9 u$ n2 U
0.041909547738693' Y9 t1 f4 R2 H) z& r0 Y
0.042512562814070
# I# Y8 H. ] r 0.043115577889447
' M. I1 o# Z G! d2 U3 i' t; p' [ 0.043718592964824) c! [3 q- A) w' B, X
0.044321608040201
! p; V" x7 m7 L, M' N% X 0.044924623115578
# r0 n S) c% d6 o 0.045527638190955% W: g) L+ L2 C/ l9 y- Q
0.046130653266332 X: ]- _' |1 L) `% a0 h9 M
0.046733668341709
5 m% X6 E! e, e5 n 0.047336683417085
* K: o; R& n. ]% v1 O 0.047939698492462& W* d6 g9 B; ]. w. l
0.048542713567839
: ?7 I+ e" [. I7 u+ Y, x7 o3 I: D 0.049145728643216
8 F/ r. s& R2 x5 O2 J3 N+ m' t! I 0.049748743718593$ i) R5 J& H: ]. A+ c
0.050351758793970
/ E$ E; l9 [7 J' K8 s" t* l1 z 0.050954773869347
7 k5 ]* f- h: S2 {( A2 L/ ] 0.051557788944724) n$ L& i/ y/ X/ X2 P
0.052160804020101
% C& _5 n( ?5 c1 W: a I 0.052763819095477
0 Z D3 u0 W0 Z& V1 b 0.053366834170854! `/ c' j! W5 ?& J/ O
0.053969849246231/ s4 U& t6 }8 t H3 S$ p
0.0545728643216084 U) z3 ]2 H! R4 F9 H5 Q) G1 c% o; Y
0.055175879396985
% D" Z& y, s0 z1 @ 0.055778894472362
6 M" t7 Y3 [% A3 Y4 F" t+ h1 g 0.056381909547739
+ Z8 i% O3 q5 A9 Y8 u% x 0.056984924623116: D1 ]2 p2 A# F+ n2 [
0.0575879396984927 [5 J7 X7 D- Z6 ~1 k2 [0 Y
0.058190954773869) E! v7 j3 k6 v" F0 @; e6 p
0.058793969849246* r) c0 j+ u& r4 `, b2 Z) S/ |
0.059396984924623! V u: u7 g' a% d! s$ F
0.0600000000000000 t( ^; n' t$ o* z) v
/ ~/ C( c4 q* K4 k! G
" W8 e. @+ u' P
ans =
$ J- S+ u- q# n- j1 J
2 |4 w9 [4 Y- s- o -1.033689540653716
7 v# |4 x4 s3 D4 q% s3 X- ?, X -1.013619827890691
! U) Y9 Y- i0 j" [7 ^9 W3 t -0.994621366531083
: A8 j+ [/ H* [" u0 n# \, a$ j -0.976510534039504
2 `1 L. J& R; `& \( C d/ B -0.959151639002957" ]) h, Z- N9 q8 } R% B
-0.942440908631668
" u* p o: @+ H/ v# L* \ -0.926296779035772* X+ A; V' R0 r" z7 w$ j5 y4 b
-0.910653694311287
& [6 L* R- F3 E -0.895457976752101
: i0 D, O, W1 E8 z. D/ M -0.8806649792649750 R- Z w- ]+ u$ x
-0.866237063671064' E" z! C0 f7 D) d A4 n
-0.8521421291006714 a: b" m2 c' o% C; q4 S" e
-0.838352517460560
9 L# O' p; g3 A6 }9 P5 P -0.8248441838903396 P5 ^9 ~* \, ~+ |1 G# M! m+ B5 |
-0.8115960575464197 H" ?+ @) t/ L; y- z
-0.798589541746273
/ o! C' A0 ?. e1 m" |- ^" W! M) L -0.785808117918193! f# X4 b, F% G- W+ }. |/ P
-0.773237028068739
( @' B" y. x; f' I+ G4 p -0.760863017467603- B$ j" k/ z. j* ^2 k3 N
-0.748674124097121) S# H* v4 v6 h9 l
-0.7366595048354530 @) ]; ~! c& Q. H
-0.724809290796292
9 j5 G k1 T& d6 f7 \; b& z# U -0.713114466033284
# F7 I% [7 L; H3 H* a -0.701566765133452
/ O: R9 n$ N! W- [, p -0.690158586205827
$ U5 ?% J' v0 E/ k7 D -0.678882916512848
! Y3 c; d5 S, z+ m* Y" h -0.667733268556930' l1 N* {1 _! q& D/ ]+ Y. a, Q
-0.656703624869929$ e& N! {! N$ \$ b( T+ B
-0.645788390090937
/ L* G, h9 J! c+ h3 |7 V2 o -0.634982349182892$ V% N1 w4 k ]0 M4 {( i; y/ `5 ]
-0.624280630847343
0 z7 C- E% d- Y' `5 U -0.613678675363112% a9 n# Y" d& c* c3 w" @0 m9 D
-0.603172206207723( h* C9 ~7 s0 g( ~
-0.592757204927887
1 R& U9 @ Z) M -0.582429888812360" P5 \" D2 K0 W! ]% ^* u
-0.572186690991612- x9 H* F0 d3 u& t# C
-0.562024242646965
; @5 a. N, ?7 z: F; A8 w -0.551939357060015. q; N& |7 M3 {. G9 u- r- }
-0.5419290152728400 k; T y$ i+ @( U& o
-0.5319903531628799 m- ?0 M% g3 g6 X# K
-0.522120649763841
+ K+ b2 F5 d. b% ~ -0.5123173166875121 b3 l+ ^3 q9 P0 W j
-0.5025778885209217 m" k. S3 [0 V
-0.492900014089836
. _; e# m0 Y1 A, `) Z$ J# ~ -0.483281448493885' _) g# E8 Y( a: G9 @& e1 D
-0.473720045830499
" _6 O7 j' C9 x. B -0.464213752535263; Y% O0 v" \* _* E- p
-0.454760601275071
. S' s: H6 Z6 g8 M2 M& c -0.4453587053381400 ^; D" \: K2 V, U& H
-0.436006253471471
0 F* K0 d4 L5 ~3 T/ R -0.426701505122098& X% i$ f, A5 N
-0.4174427860433975 n8 Y; E$ f: T3 ^2 C, v
-0.408228484231992
# [( }' M! M9 K0 b+ e* s -0.399057046164675
' W0 j' `! F! S, ` -0.389926973307911: I, X: k. ^" [2 E
-0.380836818875499* M- k+ ?% t! _" G
-0.3717851848124549 o" v' K. N* |9 b
-0.362770718985392
- y3 E6 u. F; ^ -0.3537921125617662 i; y5 G/ F, `- C" _
-0.344848097561934
1 j3 B/ x# g1 J+ _0 W- @( X4 y7 M -0.3359374445696706 ?: ?) f- _1 x' J
-0.327058960588106
' b/ F- N7 E6 z& G -0.318211487029265) a. B- \# s' ]8 X: C1 ^! V
-0.309393897826506
7 V) |4 \5 r8 E2 i0 W -0.300605097660121
& l3 _) o# z$ W% ], R! |) _ L -0.2918440202872461 o& ~& Y3 y; U5 ~& \) W
-0.283109626967980
7 ^. I1 c$ C- V2 r! Z; \% ? -0.2744009049803695 F/ A! S k8 |: S6 x0 [! @$ `
-0.265716866217476
9 n9 C3 C; h5 c -0.257056545860381
5 D; ^9 C# l( o+ W8 V -0.2484190011214430 w1 S: E/ x5 f4 x- K: o& _
-0.239803310052597
; @% \7 k9 G0 A6 s, V7 B. V# h2 } -0.2312085704139354 r9 J r2 h' E7 c2 ]' i
-0.222633898598121; F1 W: R; O( z' J
-0.214078428606594( O1 A' V' T6 \1 d+ r
-0.205541311073791
8 O, ~% v/ |$ I$ _$ a/ H" A -0.197021712335900
5 y9 a" {' Q- p/ G5 F' Y6 M -0.188518813540922
% A$ x5 q |8 ]$ ]# q& X* y+ O -0.180031809797061+ a0 E. Q& N) T/ O9 R1 E
-0.1715599093566089 n; Z! w. T0 t; V" Y9 t2 }+ n
-0.1631023328327822 s+ L/ r0 }3 r2 E* ^
-0.1546583124470617 H( l" Q/ ]- J+ l' w$ I! L" t# j: f
-0.146227091304754
# X' B* A: U' ~! ~ -0.137807922696691
+ ^# s. \. j4 X' T/ G% q: ^ -0.129400069425041% D: Q5 O# y& z3 _; c; t
-0.121002803151371
- A+ q; A& {' ^ -0.112615403765200( X& ~8 ~8 C2 n" v. S, B& \
-0.1042371587713625 B2 j1 } F E2 I3 {$ N
-0.095867362694613
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4 f# b& m/ v" F0 Q
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楼主: shouce
