High-Order Energy Balance Method to Nonlinear Oscillators

Table 2

Comparison of the first-, second-, and third-order frequencies for 𝛼=1, 𝜀=5.

𝜆𝐴^6	𝜔R-K	𝜔1-EBM	[4]*	𝜔3-EBM
1	2.2798	2.2456	2.3184	2.27948
5	2.7318	2.6859	2.8062	2.73144
10	3.2057	3.1510	3.3166	3.20446
100	7.7762	7.6672	8.2006	7.77554
1000	23.7999	23.3957	25.0948	23.7045

∗First-order approximation, 𝜔_Ref.[4] = √8𝛼+6𝜀𝐴²+5𝜆𝐴⁴/8.