摘要
Considering viscosity of one-dimensional finite metallic bar,the effect of Peierls-Nabarro(P-N) force on nonlinear vibration is investigated under strainless boundary conditions and singlehump initial displacement condition.Governing equation is derived as perturbed Sine-Gordon(SG) type equation.With the size and physical properties specified, the spatial modes and long-time asymptotic states evolve as a function of P-N force.Different dynamic responses are shown numerically: x-independent simple harmonic motion;harmonic motion with single wave;quasi-periodic motion with single wave and chaotic motion with single spatial mode.It’s found that P-N force is also an important factor in affecting the motion of this system.
Considering viscosity of one-dimensional finite metallic bar, the effect of Peierls- Nabarro （P-N） force on nonlinear vibration is investigated under strainless boundary conditions and single-hump initial displacement condition. Governing equation is derived as perturbed Sine- Gordon（SG） type equation. With the size and physical properties specified, the spatial modes and long-time asymptotic states evolve as a function of P-N force. Different dynamic responses are shown numerically： x-independent simple harmonic motion; harmonic motion with single wave; quasi-periodic motion with single wave and chaotic motion with single spatial mode. It＇s found that P-N force is also an important factor in affecting the motion of this system.
出处
《太原理工大学学报》
CAS
北大核心
2005年第6期658-662,共5页
Journal of Taiyuan University of Technology
基金
ShanxiScienceFoundationofYouth(20051004)andYouthFoundationofTaiyuanUniversityofTechnology(12901116)
