重庆理工大学学报:自然科学2012,Vol.26Issue(12):16-20,5.
轴向运动黏弹性夹层板非线性动力稳定性分析
Nonlinear Vibration of the Axially Moving Viscoelastic Sandwich Plate
摘要
Abstract
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.关键词
黏弹性夹层板/轴向运动/Kelvin-Voigt模型/大变形/横向振动Key words
viscoelastic sandwich plate/axially moving/Kelvin-Voigt model/large deflection/transverse vibration分类
数理科学引用本文复制引用
李映辉,吕海炜,李中华,李亮..轴向运动黏弹性夹层板非线性动力稳定性分析[J].重庆理工大学学报:自然科学,2012,26(12):16-20,5.基金项目
国家自然科学基金资助项目 ()
中央高校科研业务费专项 ()