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| Received:December 15, 2014 Revised:May 27, 2015 |
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| DOI：10.7511/jslx201602007 |
| KeyWord:Winkler-Pasternak elastic foundations beam free vibration dimensionless frequency Differential Quadrature Method |
| Author | Institution |
| 蒲育 |
兰州工业学院 土木工程学院, 兰州 |
| 滕兆春 |
兰州理工大学 理学院, 兰州 |
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| Abstract: |
| Based on the two-dimension linear elasticity theory and applied the Hamilton's principle,the governing differential equations of free vibration for beam set on Winkler-Pasternak elastic foundation are derived.Using differential quadrature method (DQM),the free vibration dimensionless frequencies of beams are investigated numerically.With application of DQM in this paper,it illustrated that the method was validated and accurate for Bernoulli-Euler beams as well as for Timoshenko beams by comparison of previously reported results.Finally,the effect of the geometrical parameter on the non-dimensional frequency parameter of the beams,the influence and the convergence for dimensionless frequency owing to elastic coefficients of foundation under different boundary conditions are considered. |
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