CAJ | 학술논문

基于薄板大挠度理论和Kelvin-Voigt黏弹性本构方程,建立了轴向运动黏弹性夹层板横向振动控制方程。采用一阶Galerkin截断方法研究了四边简支边界条件下轴向运动黏弹性夹层板横向振动特性。通过把非线性偏微分控制方程转化为非线性常微分方程组,研究了非线性一阶截断方程的平衡点及稳定性。
기우박판대뇨도이론화Kelvin-Voigt점탄성본구방정,건립료축향운동점탄성협층판횡향진동공제방정。채용일계Galerkin절단방법연구료사변간지변계조건하축향운동점탄성협층판횡향진동특성。통과파비선성편미분공제방정전화위비선성상미분방정조,연구료비선성일계절단방정적평형점급은정성。
Based on the theory of large deflection of thin plate and the constitutive law of Kelvin-Viogt viscoelastic material,the controlling equation which dominates the transverse vibration of the axially moving viscoelastic sandwich plate was established.By using the method of 1-term Galerkin truncation,the characteristic of transverse vibration of axially moving viscoelastic sandwich plate was researched under the boundary of four sides simple supports.The nonlinear partial differential equation is transformed into a set of nonlinear ordinary differential equations.The number of the equilibrium point along with flow speed and its dynamical stability are discussed.