Chaotic Behavior of Viscoelastic Cylindrical Shell under Axial Pressure and Transverse Periodic Excitation

WANG Jian-Jun;HAN Zhi-Jun;LU Guo-Yun;ZHANG Shan-Yuan

Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (6) : 172-175.

PDF(1456 KB)
PDF(1456 KB)
Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (6) : 172-175.
论文

Chaotic Behavior of Viscoelastic Cylindrical Shell under Axial Pressure and Transverse Periodic Excitation

  • WANG Jian-Jun ; HAN Zhi-Jun ; LU Guo-Yun ; ZHANG Shan-Yuan
Author information +
History +

Abstract

Chaotic behavior of viscoelastic cylindrical shell under axial pressure and transverse periodic excitation was investigated on the basis of Donnell-Kármán theory of thin shell with large deflection and Kelvin–Voigt constitutive relation.The governing equations for the deflection and stress function are derived,and the governing equations of viscoelastic cylindrical shell are changed into the square-order and cubic nonlinear differential dynamic system by Galerkin method.The critical conditions of horseshoe-type chaos are obtained by using Melnikov function.The influences of axial pressures and viscous damper coefficients on chaotic motion of system are analysed by numerical calculation.The motion behaviors of system are described through the bifurcation diagrams, the time-history curve, phase portrait and Poincaré map.The results are given as follows.When the relation between axial pressure and material parameters of cylindrical shell is given,the system can occur horseshoe-type chaos.The chaotic motive region will decrease with increase of axial pressure and the ratio of viscous damper coefficients to external damper coefficients.The system of viscoelastic cylindrical shell under axial pressure and transverse periodic excitation may occur steady motion and chaotic motion

Key words

cylindrical shell / differential dynamic system / Melnikov function / chaos

Cite this article

Download Citations
WANG Jian-Jun;HAN Zhi-Jun;LU Guo-Yun;ZHANG Shan-Yuan. Chaotic Behavior of Viscoelastic Cylindrical Shell under Axial Pressure and Transverse Periodic Excitation[J]. Journal of Vibration and Shock, 2011, 30(6): 172-175
PDF(1456 KB)

Accesses

Citation

Detail

Sections
Recommended

/