...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Mechanical systems and signal processing >Dissipative solitons in forced cyclic and symmetric structures
【24h】

Dissipative solitons in forced cyclic and symmetric structures

机译：强迫循环和对称结构中的耗散孤子

获取原文
获取原文并翻译 | 示例
   

获取外文期刊封面封底 >>

       
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The emergence of localised vibrations in cyclic and symmetric rotating structures, such as bladed disks of aircraft engines, has challenged engineers in the past few decades. In the linear regime, localised states may arise due to a lack of symmetry, as for example induced by inhomogeneities. However, when structures deviate from the linear behaviour, e.g. due to material nonlinearities, geometric nonlinearities like large deformations, or other nonlinear elements like joints or friction interfaces, localised states may arise even in perfectly symmetric structures. In this paper, a system consisting of coupled Duffing oscillators with linear viscous damping is subjected to external travelling wave forcing. The system may be considered a minimal model for bladed disks in turbomachinery operating in the nonlinear regime, where such excitation may arise due to imbalance or aerodynamic excitation. We demonstrate that near the resonance, in this non-conservative regime, localised vibration states bifurcate from the travelling waves. Complex bifurcation diagrams result, comprising stable and unstable dissipative solitons. The localised solutions can also be continued numerically to a conservative limit, where solitons bifurcate from the backbone curves of the travelling waves at finite amplitudes. (C) 2018 Elsevier Ltd. All rights reserved.
机译：在过去的几十年中，周期性且对称的旋转结构（例如飞机发动机的叶片盘）中出现了局部振动，这对工程师构成了挑战。在线性状态下，局部状态可能由于缺乏对称性而出现，例如由不均匀性引起。但是，当结构偏离线性行为时，例如由于材料的非线性，几何非线性（如大变形）或其他非线性元素（如接头或摩擦界面），即使在完全对称的结构中也可能出现局部状态。在本文中，由具有线性粘滞阻尼的耦合Duffing振荡器组成的系统受到外部行波强迫。该系统可以被认为是在非线性状态下运行的涡轮机械中的叶片盘的最小模型，其中这种激励可能由于不平衡或气动激励而出现。我们证明，在共振附近，在这种非保守状态下，局部振动状态从行波分叉。得到复杂的分叉图，包括稳定和不稳定的耗散孤子。局部解也可以在数值上继续到一个保守的极限，其中孤子从行波的主干曲线以有限的幅度分叉。 （C）2018 Elsevier Ltd.保留所有权利。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号