Research Article
An Efficient Analytical Method for Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained Ends
Table 3
Verification of the first three frequency parameters for a simple supported beam.
| | Mode 1 | Mode 2 | Mode 3 | | Reference [26] | Reference [27] | Present () | Reference [26] | Reference [27] | Present () | Reference [26] | Reference [27] | Present () |
| | 10 | 3.219 | 3.219 | 3.215 | 6.293 | 6.293 | 6.265 | 9.427 | 9.428 | 9.338 | | 50 | 3.484 | 3.484 | 3.480 | 6.333 | 6.333 | 6.305 | 9.439 | 9.440 | 9.351 | | 100 | 3.748 | 3.748 | 3.746 | 6.382 | 6.382 | 6.358 | 9.454 | 9.454 | 9.371 | | 500 | 4.944 | 4.944 | 4.943 | 6.736 | 6.736 | 6.716 | 9.571 | 9.571 | 9.489 | | 1000 | 5.756 | 5.756 | 5.755 | 7.112 | 7.112 | 7.095 | 9.710 | 9.710 | 9.633 | | 2000 | 6.767 | 6.767 | 6.767 | 7.724 | 7.724 | 7.710 | 9.972 | 9.972 | 9.901 |
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