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PROGRAM PENDULUM ! ! Main Program for a driven pendulum under damping solved with ! the fourth-order Runge-Kutta algorithm. ! Parameters: Q, B,and W (omega_0). ! PARAMETER (N=1000,L=100,M=1) DIMENSION Y(2,N) COMMON/CONST/Q,B,W ! PI = 4.0*ATAN(1.0) H = 3.0*PI/L Q = 0.5 B = 0.9 W = 2.0/3.0 Y(1,1) = 0.0 Y(2,1) = 2.0 ! ! Using the Runge-Kutta algorithm to integrate the ! equation ! DO 100 I = 1, N-1 T = H*I Y1 = Y(1,I) Y2 = Y(2,I) DK11 = H*G1(Y1,Y2,T) DK21 = H*G2(Y1,Y2,T) DK12 = H*G1((Y1+DK11/2.0),(Y2+DK21/2.0),(T+H/2.0)) DK22 = H*G2((Y1+DK11/2.0),(Y2+DK21/2.0),(T+H/2.0)) DK13 = H*G1((Y1+DK12/2.0),(Y2+DK22/2.0),(T+H/2.0)) DK23 = H*G2((Y1+DK12/2.0),(Y2+DK22/2.0),(T+H/2.0)) DK14 = H*G1((Y1+DK13),(Y2+DK23),(T+H)) DK24 = H*G2((Y1+DK13),(Y2+DK23),(T+H)) Y(1,I+1) = Y(1,I)+(DK11+2.0*(DK12+DK13)+DK14)/6.0 Y(2,I+1) = Y(2,I)+(DK21+2.0*(DK22+DK23)+DK24)/6.0 ! ! Bring theta back to the region [-pi,pi] ! IF(ABS(Y(1,I+1)).GT.PI) THEN Y(1,I+1) = Y(1,I+1)-2.0*PI*ABS(Y(1,I+1))/Y(1,I+1) END IF 100 CONTINUE ! WRITE(6,999)(Y(1,I),Y(2,I),I=1,N,M) STOP 999 FORMAT (2F16.8) END ! FUNCTION G1 (Y1,Y2,T) COMMON /CONST/Q,B,W G1=Y2 RETURN END ! FUNCTION G2 (Y1,Y2,T) COMMON /CONST/Q,B,W G2 = -Q*Y2-SIN(Y1)+B*COS(W*T) RETURN END ¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª¡ª ÒÔÉϳÌÐòÈç¹û°ÑB=0.9ÐÞ¸ÄΪBÔÚÇø¼ä¡¾1£¬1.5¡¿£¬ÒªÏë¼ÌÐøÔËÐеϰ¸ÃÔõôÐ޸Ĵ˳ÌÐò°¡£¿£¿£¿£¿£¿Çë´Í½Ì£¡ |
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