CAJ | 학술논문

由Hamilton原理建立轴向运动功能梯度Timoshenko梁运动微分方程组，通过引入新未知函数，将方程组化为该函数的四阶偏微分方程。用WDQ（Wavelet Differential Guadreture）法获得简支FGM（Functional Graded Material） Timoshenko梁特征方程及复频率与轴向运动速度变化关系。分析梁随轴向运动速度变化的失稳形式，并与均质材料梁进行比较。分析梯度指标、梁长高比对FGM Timoshenko梁动力稳定性影响。
유Hamilton원리건립축향운동공능제도Timoshenko량운동미분방정조，통과인입신미지함수，장방정조화위해함수적사계편미분방정。용WDQ（Wavelet Differential Guadreture）법획득간지FGM（Functional Graded Material） Timoshenko량특정방정급복빈솔여축향운동속도변화관계。분석량수축향운동속도변화적실은형식，병여균질재료량진행비교。분석제도지표、량장고비대FGM Timoshenko량동력은정성영향。
The governing differential equations of axially moving Timoshenko beam made of functionally graded material were presented based on the Hamilton principle.A single fourth-order partial differential equation was derived by introducing a new unknown function.For simply supported functional graded material (FGM)Timoshenko beam,the characteristic equation was obtained by using wavelet differential guadreture (WDQ)method,and the relation of the first three orders of complex frequencies of the beam with axial movement speed was provided.The instability form of the FGM Timoshenko beam at different axial movement speeds was analyzed in detail,and the results was compared with that of homogeneous material beam.The effects of length-to-height ratio and gradient index on the stability of FGM Timoshenko beam were discussed.