Page 134 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

Chap. 4 References 121

Example 4.8-2
Runga-Kutta Program
( 0.200E+01)d2x/dx2 + ( 0.800E+01)dx/dt + ( 0.100E+03)x = f{t)
f( O.OOOE+00) 0 .OOOE+00
f( 0.250E+00) 0.100E4-01
f( 0.500E+00) 0.500E+00
f( O.lOOE+01) 0 .OOOE+00
x(0) = O.OOOE+00
dx/dt(0) = O.OOOE+00
time disp veloc
O.OOOOE+00 .OOOOE+00 O.OOOOE+00
0.7071E-01 .1095E-03 0.4458E-02
0.1414E+00 •7853E-03 0.1539E-01
0.2121E+00 .2347E-02 0.2888E-01
0.2828E+00 .4846E-02 0.4026E-01
0.3536E+00 .7671E-02 0.3732E-01
.4243E+00 . 9848E-02 0.2288E-01 Displacements vs time
.4950E+00 0.1077E-01 0.2850E-02
.5657E+00 0.1028E-01 -0.1613E-01
. 6364E+00 0.8636E-02 -0.2916E-01
.7071E+00 0.6329E-02 -0.3490E-01
0.7778E+00 0.3862E-02 -0.3392E-01
0.8485E+00 0.1648E-02 -0.2809E-01
0.9192E+00 -0.5289E-04 -0M983E-01
0.9899E+00 -0.1155E-02 -0.1151E-01
0.1061E+01 -0.1703E-02 -0.4056E-02
0.1131E+01 -0.1753E-02 0.2382E-02
0.1202E+01 -0.1417E-02 0.6730E-02
0.1273E+01 -0.8614E-03 0.8573E-02
0.1344E+01 -0.2591E-03 0.8136E-02
0.1414E+01 0.2503E-03 0.6072E-02
0.1485E+01 0.5810E-03 0.3222E-02
0.1556E+01 0.7066E-03 0.3862E-03
0.1626E+01 0.6506E-03 -0.1834E-02
0.1697E+01 0.4698E-03 -0.3118E-02
0.1768E+01 0.2333E-03 -0.3421E-02
0.1838E+01 0.5255E-05 -0.2921E-02
0.1909E+01 -0.1678E-03 -0.1921E-02
0.1980E+01 -0.2625E-03 -0.7574E-03
0.2051E+01 -0.2780E-03 0.2812E-03
0.2121E+01 -0.2304E-03 0.1004E-02
0.2192E+01 -0.1454E-03 0.1336E-02
0.2263E+01 -0.5035E-04 0.1301E-02
0.2333E+01 0.3208E-04 0.9971E-03
0.2404E+01 0.8739E-04 0.5557E-03
0.2475E+01 0.1105E-03 0.1045E-03
0.2546E+01 0.1043E-03 -0.2581E-03
0.2616E+01 0.7746E-04 -0.4764E-03
0.2687E+01 0.4069E-04 -0.5395E-03
0.2758E+01 0.4297E-05 -0.4721E-03
period, T= 0.8886E+00 maximum amplitude, A= 0.1077E-01
R EFER ENC ES
[1] Credi£, C. E. Vibration & Shock Isolation. New York: John Wiley & Sons, 1951.
[2] H a r r i s , C. M. a n d Crede, C. E. Shock & Vibration Handbook, Vol. 1. New York:
McGraw-Hill, 1961, Chapter 8.