Journal of Hebei University of Engineering
1673-9469
2011
28
2
27
29
article
粘弹性圆柱体运动微分方程的建立
Establishment on momentum differentiating equation of viscoelastic cylinder
通过对轴向流动中粘弹性圆柱体微单元的受力分析,运用D'Alembert原理建立了其运动微分方程。然后引入Kelvin模型的微分算子,得到了轴向流动中Kelvin模型粘弹性圆柱体的运动微分方程,最后再分别引入无量纲量将Kelvin模型的微分方程化为无量纲方程。
By the analysis of force-balance of cylinder element,the differential equation of viscoelastic cylinder is derived based on the D Alembert,s principle.And the operators of Kelvin model solid model are introduced into the differential equation respectively,and then the differential equations of viscoelastic cylinder with Kelvin model solid model are established.The differential equations of Kelvin viscoelastic cylinder are converted into dimensionless equations with introduction of dimensionless quantities.
粘弹性圆柱体;轴向流动;Kelvin模型;运动微分方程
viscoelastic cylinder;axial flow;Kelvin model;momentum differentiating equation
张波
ZHANG Bo
natural/article/abstract/20110207