Research Article
A Chebyshev Spectral Method with Null Space Approach for Boundary-Value Problems of Euler-Bernoulli Beam
Table 3
Normalized maxi-max deviations of modal solutions for PC1 and PC2 with four classical BCs imposed.
| | Boundary condition | Mode order | Maxi-max deviations of natural frequency | Maxi-max deviations of mode shape | | PC1 | PC2 | PC1 | PC2 |
| | C-C | 10 to 200 | 2.44E-06 | 2.44E-06 | 0.001926 | 0.001926 |
| | C-F | 10 to 90 | 3.70E-06 | 3.70E-06 | 0.001014 | 3.70E-06 | | 100 to 200 | 3.70E-06 | 3.70E-06 | 0.001014 | < 2.69E-04 |
| | C-P | 10 to 50 | 2.34E-06 | 2.34E-06 | 2.84E-06 | 2.84E-06 | | 60 to 80 | 2.34E-06 | 2.34E-06 | 7.35E-06 | 7.35E-06 | | 90 to 100 | 2.34E-06 | 2.34E-06 | 8.49E-06 | 8.49E-06 | | 125 to 200 | 2.34E-06 | 2.34E-06 | < 1.04E-04 | < 1.04E-04 |
| | C-S | 10 to 200 | 2.34E-06 | 2.34E-06 | 0.075393 | 0.075393 |
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