| Peierls-Nabarro效应对有限细杆的影响 |
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| 引用本文： | 赵广慧,张年梅,杨桂通.Peierls-Nabarro效应对有限细杆的影响[J].太原理工大学学报,2005,36(6):658-662. |
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| 作者姓名： | 赵广慧 张年梅 杨桂通 |
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| 作者单位： | Institute of Applied Mechanics，Taiyuan University of Technology，Taiyuan 030024，China |
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| 基金项目： | ShanxiScienceFoundationofYouth(20051004)andYouthFoundationofTaiyuanUniversityofTechnology(12901116) |
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| 摘 要： | Generally nonlinear factors could be classifiedas:nonlinear-material,geometric nonlinearity andnonlinear boundary condition.In spite of linearconstitutive relationin some metallic bars,nonlin-ear dynamic features would appear considering ofPeierls-Nabarro(P-N)force which has to be over-come to resist deforming.Material will producetwo kinds of mechanical effects on dynamic load,which are dynamic deformation effect and thermaleffect.What is called dynamic deformation effectindicates that mate…
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| 关 键 词： | Peierls-Nabarro效应 有限细杆 正弦方程 孤立波 混沌理论 |
| 文章编号： | 1007-9432（2005）06-0658-05 |
| 收稿时间： | 2005-06-10 |
| 修稿时间： | 2005年6月10日 |
Influence of Peierls-Nabarro Effect on Finite Thin Bar |
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| ZHAO Guang-hui,ZHANG Nian-mei,YANG Gui-tong.Influence of Peierls-Nabarro Effect on Finite Thin Bar[J].Journal of Taiyuan University of Technology,2005,36(6):658-662. |
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| Authors: | ZHAO Guang-hui ZHANG Nian-mei YANG Gui-tong |
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| Institution: | Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024,China |
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| Abstract: | 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. |
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| Keywords: | sine-gordon equation peierls-nabarro force solitary wave chaos |
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