Research Article
Nonlinear Dynamic Behaviour Analysis of a Clutch System with Uncertainties Using Polynomial Chaos and the Constrained Harmonic Balance Method
Table 3
Comparison of calculated limit cycles of a clutch system with 6 DOF, using different methods.
| Methods | MC | Sim + ngPC | CHBM | CHBM + ngPC |
| Maximum amplitude of displacements (rad) | 0.0216 | 0.0216 | 0.0232 | 0.0232 | Relative error of the maximum amplitude of displacements (%) | — | 0.21 | 7.82 | 7.81 | Minimum amplitude of displacements (rad) | 0.0204 | 0.0204 | 0.0224 | 0.0224 | Relative error of the minimum amplitude of displacements (%) | — | 0.04 | 9.92 | 9.93 | Maximum amplitude of velocities (rads−1) | 349.8 | 351.0 | 378.2 | 378.2 | Relative error of the maximum amplitude of velocities (%) | — | 0.38 | 8.14 | 8.14 | Minimum amplitude of velocities (rad/s) | 330.4 | 330.4 | 364.4 | 364.4 | Relative error of the minimum amplitude of velocities (%) | — | 0.04 | 10.24 | 10.24 |
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