Research Article
A Multimode Approach to Geometrically Nonlinear Free and Forced Vibrations of Multistepped Beams
Table 7
The first four eigenvalues for the three clamped-clamped beams (a, b, and c) where (
) = (1, 0; 0, 50) and (
R1;
R2) = (0, 25; 0, 75).
| | | Mode number | | 1 | 2 | 3 | 4 |
| | Beam (a) | Present work | 4.9579 | 7.9042 | 10.9708 | 14.1707 | | [6] | 4.9579 | 7.9043 | 10.9708 | — | | [13] | 4.9579 | 7.9043 | 10.9708 | 14.1717 |
| | Beam (b) | Present work | 3.9906 | 6.1617 | 8.3053 | 10.7570 | | [6] | 3.9906 | 6.1618 | 8.3054 | — | | [13] | 3.9906 | 6.1618 | 8.3054 | 10.7577 | | Beam (c) | Present work | 4.1766 | 6.3823 | 8.2154 | 10.6443 | | [6] | 4.1766 | 6.3824 | 8.2155 | — | | [13] | 4.1766 | 6.3824 | 8.2155 | 10.6448 |
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