Research Article

High-Order Energy Balance Method to Nonlinear Oscillators

Table 1

Comparison of the first-, second-, and third-order frequencies for 𝛼 = 1 and 𝜆 = 0 .

𝜀 𝐴 2 𝜔 E x a c t 𝜔 1 - E B M 𝜔 2 - E B M 𝜔 3 - E B M [4]*[9]*

0.51.170781.161901.170261.170781.170781.17078
11.317781.303841.316351.317761.317781.31778
52.150422.121322.142602.150302.150472.15050
102.866642.828432.853552.866452.866762.86683
1008.533598.426158.484298.532908.534158.53454
100026.810726.476426.651926.808526.812626.8139
500059.915759.169259.559959.910859.919859.9229

Third-order approximations.