›› 2012, Vol. 32 ›› Issue (3): 67-71.DOI: 10.3969/j.issn.1006-1355.2012.03.016

• 2.振动理论与数值解法 • Previous Articles     Next Articles

Study on the Effects of Longitudinal Resonance on the Dynamic Instability of Beams by Quasi-wavelet Method

SONG Zhi-wei,LI Wei,QU Hong-fei   

  1. ( School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China )
  • Received:2011-08-08 Revised:2011-09-29 Online:2012-06-18 Published:2012-06-18
  • Contact: SONG Zhi-wei

用拟小波方法研究纵向共振对梁动力失稳的影响

宋志伟,李威,渠鸿飞   

  1. （ 华中科技大学 船舶与海洋工程学院， 武汉 430074 ）
  • 通讯作者: 宋志伟

Abstract: The quasi-wavelet method to solve the dynamic response of beams was proposed. Then the method is used for studying the effects of longitudinal resonance on the dynamic stability with the damping effect taken into account. The study shows the longitudinal resonance can lead to a serious dynamic instability, while the damping can improve the stability effectively. These conclusions are coincident with the existing conclusions well. Hence, the feasibility and effectiveness of the quasi-wavelet method is verified.

Key words: vibration and wave, dynamic stability, parametric resonance, longitudinal resonance, quasi-wavelet method

摘要： 提出求解梁动力响应的拟小波方法，用该方法研究纵向共振对梁动力稳定性的影响，同时考虑阻尼的作用。研究表明纵向共振导致严重的动力失稳，而阻尼有效提高其稳定性。这些结论与现有结论吻合得很好。从而验证采用拟小波方法研究此问题的可行性和有效性。

关键词: 振动与波, 动力稳定性, 参数共振, 纵向共振, 拟小波方法

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