Research Article
Vibrational Modal Frequencies and Shapes of Two-Span Continuous Timber Flooring Systems
Table 3
Frequency parameters for two-span beams with various end support conditions.
| | Boundary conditions | β1L | β2L | β3L | β4L |
| | Free-free | 0.0000 | 1.8751 | 3.9266 | 4.6941 | | Free-sliding | 1.1705 | 2.1695 | 4.1798 | 5.2329 | | Free-pinned | 1.5059 | 3.4131 | 4.4373 | 6.5446 | | Free-fixed | 1.5708 | 3.9266 | 4.7124 | 7.0686 | | Sliding-free | 1.1705 | 2.1695 | 4.1798 | 5.2329 | | Sliding-sliding | 1.5708 | 2.3650 | 4.7124 | 5.4978 | | Sliding-pinned | 1.9633 | 3.5343 | 5.1051 | 6.6759 | | Sliding-fixed | 2.0295 | 4.1973 | 5.2391 | 7.3300 | | Pinned-free | 1.5059 | 3.4131 | 4.4373 | 6.5446 | | Pinned-sliding | 1.9633 | 3.5343 | 5.1051 | 6.6759 | | Pinned-pinned | 3.1416 | 3.9266 | 6.2832 | 7.0686 | | Pinned-fixed | 3.3932 | 4.4633 | 6.5454 | 7.5916 | | Fixed-free | 1.5708 | 3.9266 | 4.7124 | 7.0686 | | Fixed-sliding | 2.0295 | 4.1973 | 5.2391 | 7.3300 | | Fixed-pinned | 3.3932 | 4.4633 | 6.5454 | 7.5916 | | Fixed-fixed | 3.9266 | 4.7300 | 7.0686 | 7.8532 |
|
|
