Research Article
High-Order Energy Balance Method to Nonlinear Oscillators
Table 1
Comparison of the first-, second-, and third-order frequencies for and .
| | | | | | [4]* | [9]* |
| 0.5 | 1.17078 | 1.16190 | 1.17026 | 1.17078 | 1.17078 | 1.17078 | 1 | 1.31778 | 1.30384 | 1.31635 | 1.31776 | 1.31778 | 1.31778 | 5 | 2.15042 | 2.12132 | 2.14260 | 2.15030 | 2.15047 | 2.15050 | 10 | 2.86664 | 2.82843 | 2.85355 | 2.86645 | 2.86676 | 2.86683 | 100 | 8.53359 | 8.42615 | 8.48429 | 8.53290 | 8.53415 | 8.53454 | 1000 | 26.8107 | 26.4764 | 26.6519 | 26.8085 | 26.8126 | 26.8139 | 5000 | 59.9157 | 59.1692 | 59.5599 | 59.9108 | 59.9198 | 59.9229 |
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Third-order approximations.
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