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function f=odefun(t,x) f(1)=x(2); f(2)=(f(3)*0.1*0.008*sign(x(2))+0.25*0.1075*0.0415*61.67^2*sin(x(1)))/0.15*(-1); f(4)=arcsin(0.1075/0.0415*sin(x(1))); f(5)=(0.1075^2+0.0415^2+2*0.1075*0.0415*cos(x(1)))^(1/2); f(3)=0.25*(0.0415*0.0415*(f(2)^2+x(2)^4)+f(5)^2*61.67^4+2*0.0415*f(5)*(x(2)^2*61.67^2*cos*(2*x(1)-f(4))+f(2)*61.67^2*0.1075*sin(f(4))))^(1/2); end [t,x]=ode45(@odefun,[0,5],[0,pi/4]); plot(t,x) ÊÔͼ·ÃÎÊ f(3)£»ÓÉÓÚ numel(f)=1£¬Ë÷Òý³¬³ö·¶Î§¡£ ³ö´í odefun (line 3) f(2)=(f(3)*0.1*0.008*sign(x(2))+0.25*0.1075*0.0415*61.67^2*sin(x(1)))/0.15*(-1); ³ö´í odearguments (line 87) f0 = feval(ode,t0,y0,args{:}); % ODE15I sets args{1} to yp0. ³ö´í ode45 (line 113) [neq, tspan, ntspan, next, t0, tfinal, tdir, y0, f0, odeArgs, odeFcn, ... |
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ÓÐÁ½·½ÃæÎÊÌ⣺ ÆäÒ»£¬³ÌÐò²ãÃæµÄ¡£ ¶ÔÓÚMATLAB³ÌÐò£¬Ò»°ãÇé¿öÏ£¬Ó¦±ü³Ö¡°¡±Ïȶ¨ÒåºóʹÓá°¡±µÄÔÔò¡£ ±ÈÈ磺 f(1)=x(2); f(2)=(f(3)*0.1*0.008*sign(x(2))+0.25*0.1075*0.0415*61.67^2*sin(x(1)))/0.15*(-1); À´¿´ÉÏÃæÕâ¶Î´úÂ룬f(2)µÄ¶¨ÒåÖгöÏÖÁËf(3)£¬È»¶øÔÚf(2)֮ǰ£¬²¢Î´ÓÐf(3)µÄ¶¨Òå¡£ Æä¶þ£¬¶ÔÎÊÌâµÄÀí½â·½Ã棬»òÕß˵ÊýѧģÐͽ¨Á¢·½Ãæ¡£ Õâ·½ÃæµÄÎÊÌâºÜÑÏÖØ£¬ÔÚÕâ·½Ãæ³öÏÖ´íÎ󣬽«µ¼ÖÂÕû¸ö´úÂëÎÞÒâÒå¡£ 1. ¶¨Òåfʱ£¬f(2)ºÍf(3)»¥Ïà³öÏÖÔÚÁ˶Է½µÄ±í´ïʽÖУ¬Õâ˵Ã÷f(2)ºÍf(3)±¾ÉíÊÇÒþº¯Êý£¬µ«ÊÇode45º¯ÊýÖ»ÊʺÏÓÃÓÚÇó½âÏÔʽµÄ³£Î¢·Ö·½³Ì£¬Ã÷ÏÔ²»ÊÊÓᣠ2. ¼ÈÈ»µ÷ÓÃodeϵÁк¯Êý£¬¾ÍÓ¦¸ÃÃ÷°×£¬ÕâÊÇÕë¶Ô³£Î¢·Ö·½³Ì£¨×飩µÄº¯Êý£¬¸ù¾ÝÊýѧ¶¨Ò壬³£Î¢·Ö·½³Ì£¨×飩Òò±äÁ¿¿ÉΪһ¸öÒ²¿ÉÒÔÊǶà¸ö£¬µ«ÊÇ×Ô±äÁ¿Ò»¶¨ÊÇÒ»¸ö£¬µ«ÔÚ¶¨Òåfʱ£¬³öÏÖÁËx(1)ºÍx(2)Á½¸ö×Ô±äÁ¿£¬Á½¸ö×Ô±äÁ¿µÄÇé¿ö£¬ÒѾÊÇÆ«Î¢·Ö·½³ÌµÄ·¶³ëÁË£¬ÕâÊÇÒ»¸öÖÂÃüµÄÎÊÌ⣬Õâ±íÃ÷odeϵÁÐÖÐÈκκ¯Êý¶¼ÊDz»ÊÊÓõġ£ |

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4Â¥2016-08-19 09:23:15
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5Â¥2016-08-19 09:50:04
Autoyang
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function xprim= xprim1(t,x) global a b c d e f q w r v s g xprim =[(e*s+a)*x(1)+(e*g+b)*x(2)+q*0.3*sin(t)+w*0.1*cos(2*t);(f*s+c)*x(1)+(f*g+d)*x(2)+r*0.3*sin(t)+v*0.1*cos(2*t)]; clear;clc; global a b c d e f q w r v s g a = 0; b = 1; c = 4; d = 0; e = 0; f = 1; q = 1; w = 0; r = 0; v = 1; s = 1; g = 3; [t,x] = ode45('xprim1',[0 9],[0.4;0.2]); plot(t,x) ³ö´í ode45 (line 113) [neq, tspan, ntspan, next, t0, tfinal, tdir, y0, f0, odeArgs, odeFcn, ... ³ö´í event_trigger_ftb (line 10) [t,x] = ode45('xprim1',[0 9],[0.4;0.2]); ÄúºÃ£¬ÇëÎÊÕâ¸öÊÇÔõô»ØÊÂѽ? |
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