Research Article
Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge
Table 5
Effect of
on the first five non dimensional frequency coefficients of a C-C system, with an elastic joint at
= 0.5
, beam-beam connection.
| | | | | | | |
| | 3.9229 | 4.7227 | 7.0528 | 7.8248 | 10.1595 | Exact analytical solution |
| | 500 | 3.9229 | 4.7227 | 7.0528 | 7.8248 | 10.1595 | | | 100 | 3.9145 | 4.7121 | 7.0499 | 7.8248 | 10.1327 | | | 50 | 3.9110 | 4.7082 | 7.0498 | 7.8248 | 10.1086 | | | 20 | 3.9818 | 4.6862 | 7.0436 | 7.8248 | 10.0438 | | | 10 | 3.8614 | 4.6557 | 7.0346 | 7.8248 | 9.9439 | | | 3 | 3.7464 | 4.5724 | 7.0075 | 7.8248 | 9.6334 | | | 1 | 3.5695 | 4.4983 | 6.9776 | 7.8248 | 9.3290 | | | 0.5 | 3.4604 | 4.4692 | 6.9631 | 7.8248 | 9.2013 | | | 0 | 3.2662 | 4.4332 | 6.9410 | 7.8247 | 9.0429 | |
| | 0 | 3.2566 | 4.4247 | 6.9489 | 7.8306 | 9.0501 | FEM |
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