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 con...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.展开更多
文摘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.
