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| Free vibration of an FGM euler beam subjected to axial force of post-buckling configuration |
| LI Qing-lu; LI Shi-rong |
| School of Sciences , Lanzhou univ. of Tech., Lanzhou,730050,China |
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Abstract Based on geometrically non-linear theory for axially extensible beams ,an exact mathematical model of post-buckling transverse free vibration of FGM beams made of metal and ceramic subjected to axial force were derived. By using shooting method , pre-buckling and post-buckling free vibrations of one simply supported another fixed Euler FGM beam were solved and characteristics curves of the lower non-dimensional frequencies versus load parameter of FGM beams under the different graded index were plotted. The numerical results show that all the frequencies of unbuckled beams decrease continuously with the increment of the load. However, when the beams are in post-buckled state, the effect of axial force on all ordets of natural frequencies are different.
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Received: 01 January 1900
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Corresponding Authors:
LI Qing-lu
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2011, Vol. 30 
