摘要
基于轴线可伸长杆的几何非线性理论,建立了由陶瓷和金属两种材料组成的功能梯度(FGM)梁在轴向载荷作用下后屈曲横向自由振动的精确模型,采用打靶法数值求解了一端可移简支一端固定的功能梯度梁在后屈曲附近的小振幅自由振动,获得了线性振动的响应,给出了不同梯度指标下FGM梁前三阶固有频率与载荷之间的特征关系曲线.数值结果表明,屈曲前各阶频率随轴向力的增加而降低，而屈曲后轴向力对各阶频率影响不同
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.
关键词
功能梯度梁 /
轴向力 /
自由振动 /
频率 /
打靶法
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Key words
FGM beam /
axial force /
free vibration /
natural frequency /
shooting method
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李清禄;李世荣.
功能梯度材料梁在后屈曲构型附近的自由振动[J]. 振动与冲击, 2011, 30(9): 76-78
LI Qing-lu;LI Shi-rong.
Free vibration of an FGM euler beam subjected to axial force of post-buckling configuration[J]. Journal of Vibration and Shock, 2011, 30(9): 76-78
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