纤维体积分数可变的复合材料梁计及转动惯量和剪切变形时的固有频率

Natural Frequencies of Composite Beams Having Variable Fiber Volume Fraction Including Rotary Inertia and Shear Deformation

研究纤维体积分数沿着厚度可变的对称复合材料梁的振动.分析中考虑了一阶剪切变形和转动惯量.该解法可适应任意边界条件.纤维体积分数沿着梁的厚度方向以坐标的m幂次多项式形式连续渐变.可变的纤维体积分数,在对称复合材料梁中形成功能梯度材料(FGM),会引起梁的某些振动特性的改变.结果显示,剪切变形、纤维体积分数和边界条件,对复合材料梁的固有频率和振型的影响.

The vibration analysis of symmetrically composite beams having a variable fiber volume fraction through the thickness was concerned with. Fast-order shear deformation and rotary inertia were included in the analysis. The solution procedure is applicable to arbitrary boundary conditions. Continuous gradation of the fiber volume fraction is modelled in the form of an m th power polynomi- al of the coordinate axis in thickness direction of the beam. By varying the fiber volume fraction within the symmetric composite beam to create a functionally graded material （FGM）, certain vibration characteristics can be affected. Restflts have been presented to demonstrate the effect of shear deformation,fiber volume fraction and boundary conditions on the natural frequencies and mode shapes of composite beams.