Research Article
Global Residue Harmonic Balance Method for a System of Strongly Nonlinear Oscillator
Table 1
Comparison of frequency corresponding to various parameters of this system.
| Mode | A | | | | | [28] | | |
| 1 | 1.0 | 0.326845 | 0.129579 | 0.232598 | 0.087584 | 1.00705 (0.30664) | 1.010180 (0.00297) | 1.01015 | 2 | 0.5 | 1.642033 | 0.913055 | 0.313561 | 0.204297 | 0.93255 (0.40947) | 0.935268 (0.11982) | 0.93639 | 3 | 0.2 | 4.051486 | 1.665232 | 0.281418 | 0.149677 | 0.96546 (0.12144) | 0.965852 (0.08152) | 0.96664 | 4 | 0.3 | 8.205578 | 3.145368 | 0.272313 | 0.133708 | 0.85970 (0.52752) | 0.864408 (0.01712) | 0.86426 | 1 | 1.2 | 0.303844 | 0.115076 | 0.232598 | 0.087584 | 1.02135 (0.67990) | 1.027492 (0.08246) | 1.02834 | 2 | 0.8 | 0.893981 | 0.467399 | 0.313561 | 0.204297 | 0.94117 (0.68750) | 0.947891 (0.02226) | 0.94768 | 3 | 0.4 | 5.074636 | 1.971962 | 0.281418 | 0.149677 | 0.85275 (0.65326) | 0.858566 (0.02516) | 0.85835 | 4 | 0.3 | 5.371626 | 1.995820 | 0.272313 | 0.133708 | 0.90371 (0.32569) | 0.906268 (0.04324) | 0.90666 | 1 | 1.1 | 0.333861 | 0.131914 | 0.333105 | 0.129923 | 1.05601 (0.50254) | 1.060826 (0.04843) | 1.06134 | 2 | 0.6 | 1.512930 | 0.802700 | 0.379417 | 0.250283 | 0.92528 (0.59649) | 0.930113 (0.07810) | 0.93084 | 3 | 0.4 | 4.278991 | 1.715424 | 0.318201 | 0.173313 | 0.87526 (0.53749) | 0.879977 (0.00147) | 0.87999 | 4 | 0.3 | 10.015007 | 3.820495 | 0.297109 | 0.149231 | 0.83552 (0.79887) | 0.841654 (0.06958) | 0.84224 | 1 | 0.9 | 0.327231 | 0.127022 | 0.333105 | 0.129923 | 1.03871 (0.31394) | 1.040568 (0.13551) | 1.04198 | 2 | 0.7 | 1.356964 | 0.696043 | 0.379417 | 0.250283 | 0.91850 (0.74083) | 0.925756 (0.04388) | 0.92535 | 3 | 0.4 | 4.233389 | 1.657464 | 0.318201 | 0.173313 | 0.87662 (0.52277) | 0.881255 (0.00284) | 0.88123 | 4 | 0.1 | 11.178563 | 4.200250 | 0.297109 | 0.149231 | 0.97418 (0.14969) | 0.974368 (0.13038) | 0.97564 |
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