function solve_nonl_single1, @4 E2 _$ i" j; g4 w) O, G
clear all;clc
$ @. ]: J+ o* j; ^format long3 j& r7 [0 i) V9 @; v2 I) o
global a
. G: V" c7 e: M0 f* ka_span=linspace(-0.06,0.06,200);$ g8 e& L. N. w/ B
n=length(a_span);
* }- y' ~8 D- h3 nx0=1e-9;
. ]+ `1 \/ O/ d0 ?. w W2 a7 ~8 `) [options=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);
( j5 d5 l6 h/ ] z! @/ H# Ifor i=1:n
$ U' s4 ]' O4 a( G) L8 z+ N' E& H$ E a=a_span(i);* F1 S* X6 g2 y$ q
x(i)=fsolve(@nonl,x0,options);
7 {9 ^+ }: D; [5 X! J ~; U8 B y(i)=nonl(x(i));
$ {; F7 ~0 [8 Z x' m/ ~end
5 O3 B% T( q/ l! Ca_span', x',y'
T& @6 M" Y) m9 m0 n1 o N E' afunction f=nonl(x)5 k; |" d4 j7 c* x D
global a
1 V9 G* M5 Z4 p: df=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));
U) Y# t2 w& a, X, m) u
+ I1 z: j0 _' ~" p% n) v運行結果 ans =
$ P m: h+ A2 L. ?4 h! o% l& a* S+ P7 T -0.060000000000000
( i$ A, U3 t1 h1 Q7 d, H3 L -0.059396984924623
$ o% T2 F2 k( C5 o- L% _ -0.0587939698492469 b, J8 @5 }& ?$ ~) l
-0.058190954773869
# o2 x, W$ G/ R -0.057587939698492
5 n. i% s0 m$ d/ S4 Z6 k5 I -0.056984924623116
8 W, V+ [: ?1 \ -0.056381909547739# g' s8 ?' d% ?& l% D, q
-0.055778894472362
, a8 f. ^: g) j% t. F3 J -0.055175879396985# q8 e! n) w% w7 V5 g
-0.054572864321608
9 e( b4 K) _, N m' r9 } -0.0539698492462317 y% {9 y5 D/ T
-0.053366834170854
+ Q! e7 u, ]4 x0 u' [ -0.052763819095477( n- d4 x2 y$ I5 I- q( U
-0.052160804020100
Y) ]6 d6 z6 {$ Y# m -0.051557788944724+ X- I4 f1 b6 P
-0.050954773869347% a& d" T A1 K. T, }. @ D
-0.050351758793970
* `% k6 A4 N/ |9 O. O -0.049748743718593 m8 T6 P, a8 v; D$ A$ a( v4 [
-0.049145728643216
- s8 e* h e) [) M# M3 W1 B Y2 @0 | -0.048542713567839
' }9 e( o2 ]' E! M$ F6 r9 X -0.0479396984924621 v2 ^/ r% b6 s" B5 `: q* @* I
-0.0473366834170855 p9 P: p& Y; W, L5 \* k
-0.046733668341709 P1 Y2 N8 m3 L) f7 y: |, ~7 T7 F
-0.046130653266332
0 a: H3 r/ q/ l3 e0 R. @7 K6 w -0.045527638190955) q& H' i! ?6 Z& G5 b" C; l2 d
-0.044924623115578
2 @3 }/ P9 Q# `( ~* L/ {% e2 q -0.044321608040201
/ e5 ^% L6 g, ?4 L- B -0.0437185929648247 ?& ?# X9 R4 W" }" m. Z
-0.0431155778894472 P! z& d2 }4 j
-0.042512562814070
4 v; D6 J9 Y4 F4 k3 l/ U4 y! l. S& r" S -0.041909547738693
: Q; v# A; T9 M3 ] -0.041306532663317
( q; r: m x: x- M -0.040703517587940
) U( M% W! g( c- m$ ]* e1 B -0.040100502512563
8 t- O* q' y1 Z -0.039497487437186+ H% j$ B& M+ l, ~
-0.038894472361809- Q: J- E8 L" Z* B8 J1 Z4 Y( {0 `
-0.038291457286432" ~5 g8 {/ `! ]; z
-0.037688442211055% _: p) K2 h' ~7 g0 w6 M6 x5 J5 r3 p
-0.037085427135678# M5 h5 A9 `, W' p B' J; P. {
-0.036482412060302
! l$ h9 r; n2 R, k4 e -0.035879396984925, J4 W' A( u5 R! u* U$ i* q
-0.035276381909548
( q' ?9 \$ v7 z9 p0 W -0.034673366834171# H$ N g4 _9 g' k- {
-0.034070351758794# E" L( B) Z4 Z! h4 H) z6 a$ I t! ~
-0.0334673366834173 i! F9 }4 U& y
-0.032864321608040
& Z5 V4 f( v! y: {9 b6 u3 h -0.032261306532663& A: A" s. b3 J: |4 h
-0.031658291457286- {6 m$ l7 y2 f5 k3 j% d, o$ N+ S& q
-0.031055276381910/ K/ V9 M, J6 O7 p# U
-0.030452261306533
: K6 }; A5 n! P# _/ M% V -0.0298492462311561 ^8 ?" p( A0 b- o; h! n, k
-0.029246231155779
, N7 m- b/ m! B -0.028643216080402
6 l+ {3 p- ?8 q$ q E" x, e* F -0.028040201005025
; ]; y/ t+ H4 H. I -0.027437185929648
. P, e2 c! _# R' R -0.0268341708542714 M2 \$ z& s8 ]+ Z
-0.026231155778894. [$ J- W- W* `, R: }+ G K# X
-0.025628140703518) U0 q- ?9 ^! N$ E/ C( S
-0.0250251256281419 `" D0 b6 A' B/ t! s5 h
-0.024422110552764
! J0 \4 \* |; }8 y -0.023819095477387
V) k( X& L3 T -0.0232160804020100 Y$ ~8 P/ K% i( T
-0.022613065326633
$ @3 T7 H j7 O" S -0.022010050251256+ x) m4 W/ y+ Y" K' Z# I
-0.021407035175879
$ f4 }7 s) j2 H1 F& Y2 s -0.020804020100503
1 |8 j& i8 X3 }6 F -0.020201005025126
v' a/ R- N. j7 u7 K -0.019597989949749
" R* _$ D) ~4 A2 c3 B -0.018994974874372
. Y+ w$ h" U5 J+ d8 T B -0.018391959798995
- x& @2 b$ N7 {: C# C) t -0.017788944723618
0 K# Z' u ^4 z7 E& S -0.017185929648241. E* K2 x3 O1 M
-0.016582914572864, M) k0 ?6 `% c* w9 {/ f1 m" v7 B
-0.0159798994974872 n* U5 ~0 J' j& c9 `* v: M* ?
-0.015376884422111& ]4 d: w3 w9 C, K+ g$ W
-0.014773869346734
5 b$ R5 M$ o4 L* w -0.014170854271357$ P7 C" P" w# g8 F. X3 B
-0.013567839195980% e4 m+ z: j: g
-0.012964824120603$ |% d: C8 C, ?/ l7 g- Q5 p7 u
-0.0123618090452263 w Z2 {- r$ l
-0.0117587939698499 M$ b% R: U8 d) n6 n! I1 `
-0.011155778894472 w) E5 u) z3 i
-0.010552763819095
! P4 e* g' \- F. T -0.009949748743719
2 ^" S3 S5 u! g9 e -0.0093467336683424 Z+ B* p& E! R' A6 Q
-0.008743718592965
/ n v0 l9 N" d& u. L/ }3 ~/ v -0.008140703517588
# N( e, x% a% w' e0 h& c -0.007537688442211
3 g7 X$ K- R( K5 L9 z y -0.006934673366834' a9 v) j: z& S: \0 t/ f
-0.0063316582914571 g5 h# ~$ }6 B- d
-0.005728643216080
1 a! a7 ?5 ?( E2 m3 x" y -0.005125628140704
4 [/ X: Q- x2 ^/ {- v. L3 \: { -0.004522613065327
# d3 M. y! k% \) H1 s0 S -0.003919597989950; ]" s# [1 V5 G3 w! A+ X
-0.003316582914573& s# t8 e5 o$ l$ M: |: L/ v: T
-0.0027135678391962 D4 q$ u. g- @$ @
-0.002110552763819" s/ J) |9 y% U) f# V" i8 q
-0.001507537688442( S; `% b) N; I! y) I: S
-0.000904522613065
# ] e) \4 }1 @0 q6 k7 i -0.000301507537688
& E( N1 k9 e( Y5 F 0.000301507537688
; S4 D# I7 Q- n 0.000904522613065
# M& c3 E( T3 L4 b8 t" G' t 0.001507537688442
4 ]4 L3 x3 b8 @- q% X" E, L7 u2 C 0.002110552763819
. i" L k3 H8 \8 K 0.002713567839196
: R. H" z) V! @* ?8 x2 p& G 0.003316582914573
: {; w5 j& v7 U( j 0.0039195979899501 `" M) \' I9 j# s* S! X
0.004522613065327
1 I7 Z1 h0 Y' Z% ?6 l8 M4 f 0.005125628140704
% u/ [$ X4 S9 r& i! y 0.005728643216080
7 X7 t, W% t N7 o8 r2 {1 u; a 0.006331658291457
2 W: I/ N8 O# J& z 0.0069346733668348 T% }! [1 b9 e* x) E
0.007537688442211
$ m& ^0 B$ e+ I ~" _7 z3 b; `" F 0.0081407035175885 Y4 ^. X( Y+ y6 K# z
0.0087437185929652 w Z3 K: p2 f
0.009346733668342
: }' f( O4 I2 c; v- v6 a 0.009949748743719
# l0 s& q+ A& U0 I C 0.010552763819095
4 M$ A+ x7 h0 ^/ ?6 L% E; k 0.011155778894472. U4 A9 l+ [2 M0 Y7 ]
0.011758793969849& \1 F. S o( c) k$ @/ u
0.012361809045226
2 c0 {1 F k9 e& s5 \ 0.012964824120603
8 k9 @9 q9 z; b5 d 0.013567839195980$ l* n b. Y4 [1 V3 E
0.014170854271357
( M5 a0 g: w0 P+ e B; z z% \0 b 0.014773869346734
( C" z* W% D: l6 Z! ~ 0.015376884422111
: o6 @8 Q& W# G$ g 0.0159798994974876 y" v. }9 u% Y3 u+ a+ N
0.016582914572864
; _; W/ W$ R: W/ @6 F 0.017185929648241
4 I8 z" N$ _! ~; c% K* b& m# ~ 0.017788944723618# J( Y% d. L/ c$ d. J- g# R
0.0183919597989950 q7 i+ ^ Z# U- P3 ?* ~6 d5 h% q
0.018994974874372/ ~( ~( R0 _. F" ?2 ]% `; O9 ?
0.019597989949749. }) {" t; C3 g- }+ M* \
0.020201005025126
1 v) Y. a# x: N/ i5 D( J 0.020804020100503
0 I8 i0 `* b! j+ A' A 0.021407035175879
' z n9 U' N9 D 0.022010050251256
) e2 f9 i- i5 r! g, X: @ 0.022613065326633
) Y- h# o) P k" C$ k4 [ 0.023216080402010+ U* x K& |1 d
0.023819095477387: d* x, X9 L* j- m3 J' ]
0.024422110552764
2 I5 y3 ?& |8 ?7 \) a' { 0.025025125628141
8 n# ]1 F( S' m; `% ~: v 0.025628140703518/ C# J8 a2 E! `5 k* a: m% \
0.026231155778894
& A+ E$ m- H' }4 f. t# W$ p 0.0268341708542718 c1 z! @ I5 e/ I( V# b
0.027437185929648
, s0 i3 B5 _- w" w7 ^ 0.028040201005025
! Z5 w$ V4 t" ~- X: @5 I: K* ` 0.0286432160804026 d. h; Z5 [4 a" Y+ P8 R
0.029246231155779
$ J" Q4 { _! x4 J, d! M 0.029849246231156
0 w# f" r( @ n2 x" C 0.0304522613065339 v4 Z: k# @6 l2 u. z& f
0.031055276381910
1 Y, b/ N6 _" {% k( ^ 0.031658291457286
* y$ N9 f. I8 {" X, ~9 \ 0.032261306532663
! j% J7 }2 i5 A7 J9 q 0.032864321608040
7 g9 S8 f( o& i4 o g5 Z, H9 X3 n 0.033467336683417
" x- B7 C! J$ S7 ~% G2 J ? 0.034070351758794
" Z) ]% c* o7 e 0.034673366834171# [5 |1 f5 x0 ~
0.035276381909548
# F5 J5 i8 x" _1 ~" v8 U 0.0358793969849258 B) n4 N4 t; Q+ ^3 d4 ^
0.036482412060302# B* ?, D7 j! Y H0 n. M+ p$ U
0.037085427135678+ |5 n2 f5 V( x- a( K1 l5 O
0.037688442211055
* W8 a ?4 S1 Y 0.038291457286432
* h1 T9 B2 @, b1 p2 K' a0 L 0.038894472361809
1 L% L) Z. T! G: W 0.039497487437186/ C8 T+ Q* |. r) F6 T, k, P
0.040100502512563% [/ J( D/ [* E' `
0.040703517587940
6 b6 D* u# G2 A' z3 R1 y8 u/ ~ 0.041306532663317
; C/ t- _1 h: a# Q% T B 0.041909547738693
/ T% S7 K1 [* y* X7 U, l 0.042512562814070" @$ t5 s( m: U2 n
0.0431155778894477 x& p2 x3 F$ ?
0.043718592964824: B6 M3 w$ R, c
0.044321608040201
! }# O0 l* [5 S) f/ ~ T/ j, s 0.0449246231155789 p( C% `5 D9 ^' k ]5 l E
0.045527638190955
5 I* k/ A. i: ~7 G: p4 c 0.046130653266332
8 f3 P! ~' H; \$ v" k/ V8 M2 v# F 0.046733668341709
) `6 m5 }$ a2 V% j+ T 0.047336683417085
5 g0 F$ M4 M7 j0 Z- x7 ^ 0.047939698492462
) a6 ]& i. n3 W( V 0.048542713567839
/ Z% ~2 |! d( p% Q& G: s 0.049145728643216" d* T4 a: r% d/ f, h
0.049748743718593
p+ W% C" G2 q 0.0503517587939702 c2 N1 |9 ~1 H r$ U) {5 B- i
0.0509547738693478 z4 N+ T- A8 N6 ]* c* D& M
0.051557788944724* E6 `( K9 J3 c$ |
0.052160804020101
' P4 i6 h% V1 g* ^0 Z 0.052763819095477
9 z9 ~. G1 r" c& ^& m 0.0533668341708544 D o) P- G4 m/ i% h
0.0539698492462312 [. _( Z2 d5 _
0.054572864321608
! y, I- f# I% i! t9 V- t9 n 0.055175879396985
1 ^ e! H; M9 i: h6 b. w! | 0.055778894472362
( }: o0 P' v; K3 N 0.056381909547739
/ L( ?9 r6 f; i% A2 A 0.056984924623116. [0 }- E6 D6 ?- w
0.057587939698492/ j. d& D4 \, ]% i
0.058190954773869
* e* x7 |0 W' v% N* T 0.058793969849246, i4 Y7 X+ ?7 ]. f
0.059396984924623
! z, u# {% C6 o! c7 E 0.060000000000000
6 F+ s* T& k3 E2 S6 @+ F# ^, c! H, Z; a) X- T& j
# O. a! P! \: x# a1 k Vans =
. M" g7 f7 [9 x
8 u2 v& s: V% n5 q+ l- M9 A" X -1.033689540653716
5 w3 a! g [, L% c5 C2 y! I -1.013619827890691
0 W+ B3 R- Y4 ]$ b -0.9946213665310837 c, l: C( P, A1 u# U0 N' x' u
-0.976510534039504
0 d6 A8 J& `4 T! L- V8 q$ j% Z1 C -0.9591516390029573 t+ P0 p2 x4 z
-0.942440908631668) @7 _6 F! [/ M. Z
-0.926296779035772! Q: x$ |" j! K# F0 t' g5 x
-0.910653694311287
& j! \( S1 T2 b, q% b# ~* T -0.895457976752101
2 y8 c6 ]1 P3 y& ]: B2 L -0.880664979264975/ T' ]& Q$ V5 W( p- Y$ W
-0.8662370636710648 S, V( F* _2 j
-0.852142129100671
/ Q! o. u B p+ m/ q1 z -0.838352517460560
`( p3 G L% r6 n; ^/ p9 l -0.824844183890339, y1 r% r$ r _6 Y0 {1 [/ f
-0.811596057546419
6 S& j/ w; y% [; `( B* P% ? v -0.798589541746273
8 M* Q1 s! A: s. T5 H: q* n -0.785808117918193
/ |, _( b6 L% ?7 f0 Q. N* ~ -0.7732370280687396 Y7 p; A0 F- A; A/ A7 P! Y! H
-0.760863017467603
5 Q9 A( G h8 F) K) x. w -0.748674124097121
4 o) U; z. T; B, v( F -0.7366595048354537 K' H. G" D+ k) R+ h% k0 u" D
-0.7248092907962921 a% K; B8 j+ O8 y: ?7 E
-0.713114466033284
* g6 ?4 v3 H6 P -0.701566765133452, `1 a1 E# J" @) M
-0.690158586205827( x& F# D8 P, i. R! Z5 A
-0.678882916512848
, O+ s$ z9 d, p; W9 z -0.6677332685569305 T& R1 @6 x0 W+ P# k
-0.656703624869929
- Z. x G6 u9 e) h$ U -0.645788390090937/ M- q. h# c) {; F& J2 O0 S& ^, L
-0.634982349182892
/ ?) a @ [2 ^. r. u -0.624280630847343
' \2 E# B5 {, o% I9 m& S; j -0.613678675363112+ N- y1 U; u+ ^7 G/ f
-0.6031722062077235 x% X# o, A+ ~3 C8 v/ D
-0.592757204927887
8 V: y1 g3 o' B. X -0.582429888812360
" a1 \* z1 K9 v -0.572186690991612
9 c: D I d4 o1 z$ D -0.562024242646965
$ b6 l( N/ M- s+ a X7 x4 C2 k( d7 N -0.551939357060015
* x- s% A# I; r0 _. \ -0.5419290152728400 X6 R2 t7 G* ~/ H" R5 z
-0.5319903531628799 T9 f$ u" w7 n3 E% t
-0.522120649763841
3 A+ S: W) ~! X. V0 j# p. O -0.512317316687512
1 p9 P" _$ P% A% L+ F -0.502577888520921( e! H1 t* r, D' Y7 @" a
-0.492900014089836
; o" m" V! t* Y3 c7 s9 W" Y' e) z+ Z -0.483281448493885
% y0 o a4 h; I: G( W& D7 @1 i7 c -0.473720045830499, D8 N- R+ `5 {- W& a
-0.464213752535263
& }$ k; u! e+ ?) @ -0.454760601275071: ]. e( {7 e, `2 S- ?4 _& \
-0.445358705338140
8 k) O6 s. H5 u$ I" T% I; r1 h -0.436006253471471
- h, D& H2 g% g+ c0 k( M6 ^ -0.4267015051220984 F0 q) t1 J" i+ Z! }" h
-0.417442786043397
' g. Q1 m Z+ W# t. G -0.408228484231992
( k! l: f/ [/ i8 ]2 G -0.399057046164675( t4 X- l0 _; T6 Q. _6 w, _3 k* n
-0.389926973307911
/ V- U& T5 s9 d# k9 h -0.380836818875499
- k3 e0 B$ f9 u i# ^ -0.371785184812454- y- g% j( U: m `
-0.362770718985392
5 n9 ~/ O3 B8 h z1 t# ]! J -0.353792112561766/ W5 D! H: Y3 z; K
-0.344848097561934! t) f& E8 H) o9 {" Q, H$ Y
-0.3359374445696708 \7 t1 ]% H- U4 T n0 j
-0.327058960588106; \# A: ^" U1 |5 T' V" N- T
-0.3182114870292659 l; [7 L% P/ \
-0.309393897826506/ Q; B$ v. ]- f7 j7 \
-0.300605097660121
1 C" W, N, u; O, z( R' ? -0.291844020287246& z& x3 E9 P8 ]/ y
-0.283109626967980* I! O2 w! {& U4 v4 G- N, i$ p. |
-0.274400904980369
2 @5 v! S) O5 i, W+ g z -0.265716866217476
! E9 x3 a0 s4 c- R: I! a -0.257056545860381
6 [: T8 @( c% N+ y -0.2484190011214438 |9 P; G1 V+ _7 s" _( ^
-0.239803310052597
$ J- W% u2 @. o5 L N -0.231208570413935 t: }. g9 L. b' V
-0.222633898598121, `% g; Y9 h, i {( K
-0.214078428606594
, n L! I" [- a5 ^7 t -0.205541311073791. N" P( @$ y/ a3 R4 Z1 e
-0.197021712335900. T3 X2 T: X& \# K0 |
-0.188518813540922
) F" Y! @+ p# m8 z# ]7 S -0.180031809797061 Y. Z# e' s: Q9 [
-0.1715599093566081 \! T5 |- A& s7 ^* p& v' X5 ]
-0.163102332832782" n9 Q- w* |* Q8 ^; N9 r! O* w y
-0.154658312447061( T7 @+ }7 m& S, k+ ^9 g: b$ Y7 ~
-0.146227091304754
6 H& K6 k! s' W' @ -0.137807922696691+ U0 u9 L9 j: G
-0.129400069425041
0 Z3 f7 S- u9 G7 ~ -0.121002803151371
, w- K& a! a2 L4 K3 k -0.112615403765200
; A( f4 g- L& ~2 R. J7 ^ -0.104237158771362$ |. h5 I0 z. }8 G
-0.095867362694613
# P0 Z6 c# G; O -0.087505316499959& B( Y$ |+ N2 Z/ C, a
-0.079150327027304
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樓主: shouce
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