Research Article
Free Vibrations of an Elastically Restrained Euler Beam Resting on a Movable Winkler Foundation
Table 4
First five numerical wave numbers (
or
) for five degenerate cases with a static or a movable Winkler foundation of stiffness
.
| | Case | Foundation | | | | | |
| | Sl-Fi | Static | 2.3650204 | 5.4978039 | 8.6393798 | 11.7809725 | 14.9225651 | | Movable | 1.9669491 | 5.5014690 | 8.6369097 | 11.7810633 | 14.9224023 |
| | Fr-Sl | Static | 2.3650204 | 5.4978039 | 8.6393798 | 11.7809725 | 14.9225651 | | Movable | 1.9669491 | 5.5014690 | 8.6369097 | 11.7810633 | 14.9224023 |
| | Fr-Fi | Static | 1.8751041 | 4.6940911 | 7.8547574 | 10.9955407 | 14.1371684 | | Movable | 2.2255349 | 4.7293245 | 7.8514919 | 10.9961585 | 14.1369917 |
| | Pi-Sl | Static | 1.5707963 | 4.7123890 | 7.8539816 | 10.9955743 | 14.1371669 | | Movable | 2.0902242 | 4.6938582 | 7.8523471 | 10.9952652 | 14.1370786 |
| | Sl-Sl | Static | 3.1415927 | 6.2831853 | 9.4247780 | 12.5663706 | 15.7079633 | | Movable | 2.0078977 | 6.2831853 | 9.4221148 | 12.5663706 | 15.7077544 |
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