Page 478 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

Sec. 14.2 Conservative Systems 465

Figure 14.2-1.

TABLE 14.2-1 COMPUTATION OF PHASE PLANE FOR U(x) GIVEN IN FIG 14.2-1
y=±^2[E-U(,x)]
±y ±y ±y ±y
at at at at
X U(x) E = 1 E = S E = 9 E = n
0 5.0 2.0 2.45 2.83 3.46
1.0 6.3 1.18 1.84 2.32
1.5 8.0 imag 0 1.41 2.45
2.0 9.6 imag imag imag
3.0 10.0 imag imag imag 1.41
3.5 8.0 imag 0 1.41 2.45
4.0 6.5 1.0 1.73 2.24
5.0 5.0 2.0 2.45 2.83 3.46
5.5 5.7 1.61 2.24 2.57
6.0 7.2 imag 1.26 1.90
6.5 8.0 imag 0 1.41 2.45
7.0 7.0 0 1.41 2.0
7.5 6.0 1.41 2.0 2.45 3.16
8.0 6.3 1.18 1.84 2.32
9.0 lA imag 1.09 1.79
9.5 8.0 imag 0 1.41
10.0 8.8 imag imag 0.63
11.5 0