Nonlinear vibration, bifurcation and chaos of viscoelastic cracked plates

被引：0
|
作者：
Hu, Hao [1 ]
Fu, Yi-Ming
机构：
[1] Hunan Univ, Dept Engn Mech, Changsha 410082, Peoples R China
[2] Changsha Univ Sci & Technol, Sch Bridge & Struct Engn, Changsha 410076, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2007年 / 8卷 / 04期
关键词：
viscoelastic cracked plate; amplitude frequency response; bifurcation; chaos;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The paper aims at studying the nonlinear vibration, bifurcation and chaos of viscoelastic cracked plates. Based on the Von Karman plate: theory and the isotropic linear viscoelasticity constitutive theory, a nonlinear integral-partial differential equation of motion is established for a rectangular viscoelastic plate which has an all-over part-through crack. Using the method of separation of variables and the Galerkin method, the equation of motion is transferred into an ordinary differential equation. Numerical simulation is given using a rectangular viscoelastic cracked plate with movable simply-supported boundary conditions at all edges is used as an example. The effects of the depth and position of the crack and the viscoelastic material parameters on the nonlinear amplitude-frequency response, bifurcation and chaos are discussed in detail.
引用
收藏
页码：545 / 552
页数：8
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