Research Article
A Multimode Approach to Geometrically Nonlinear Free and Forced Vibrations of Multistepped Beams
Table 10
The percentage correction between the curvatures estimated via the linear and nonlinear theories. Maximum nondimensional amplitudes (
).
| Beam | Curvature | | Nonlinear | Linear | Percentage correction (%) |
| (a) | 0 | 45.555 | 38.667 | 8.88 | 0.2 | 4.499 | 7.074 | 36.39 | 0.5 | −26.518 | −29.478 | 10.04 |
| (b) | 0 | 30.594 | 27.536 | 11.107 | 0.25 | 27.956 | 36.778 | 23.988 | 0.5 | −42.4 | −44.314 | 4.3196 |
| (c) | 0 | 37.345 | 33.303 | 12.137 | 0.25 | 5.931 | 14.606 | 59.391 | 0.5 | −32.104 | −35.288 | 9.022 |
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