弹性边界条件下的功能梯度圆柱壳振动特性研究

摘要

文章研究了功能梯度材料圆柱壳在弹性边界条件下的振动特性.在Flügge理论的基础上,基于波动法,采用改进傅里叶级数的计算方法建立FGM圆柱壳的振动特征方程,并推导出了弹性边界条件下FGM圆柱壳的固有频率参数表达式.通过与两端简支条件下的FGM圆柱壳的计算结果进行对比,验证了文中计算方法的正确性和有效性.通过算例,研究了在约束刚度不断变化过程中,FGM圆柱壳的固有频率在不同模态下的变化规律;分析了在弹性边界条件下,壳体尺寸、体积分数等因素对FGM圆柱壳固有频率的影响.%The free vibration characteristics of functionally graded material (FGM) cylindrical shells under elastic boundary conditions is studied. Based on the Flügge theory, the vibration characteristic equations of FGM cylindrical shells is derived by wave method and Fourier series, and the frequency parameter expres-sion of FGM cylindrical shells under elastic boundary conditions is obtained. The present analysis is validated by comparing results with FGM cylindrical shells with simply supported-simply supported (SS-SS). By nu-merical examples, the varying regularity of natural frequency change for FGM cylindrical shells under dif-ferent mode with the elastic stiffness constantly changing is studied, and the effects of shell size, volume frac-tion on the natural frequencies of FGM cylindrical shell are illustrated.