Structural Engineering and Mechanics

  • 제44권4호
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  • Pages.487-499
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  • 2012
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Stability and non-stationary vibration analysis of beams subjected to periodic axial forces using discrete singular convolution

  • Song, Zhiwei (School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology) ;
  • Li, Wei (School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology) ;
  • Liu, Guirong (School of Aerospace Systems, University of Cincinnati)
  • 투고 : 2012.06.26
  • 심사 : 2012.10.24
  • 발행 : 2012.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

Dynamic instability of beams subjected to periodic axial forces is studied using the discrete singular convolution (DSC) method with the regularized Shannon's delta kernel. The principal regions of dynamic instability under different boundary conditions are examined in detail, and the non-stationary vibrations near the stability-instability critical regions have been investigated. It is found that the results obtained by using the DSC method are consistent with the analytical solutions, which shows that the DSC algorithm is suitable for the problems considered in this study. It was found that there is a narrow region of beat vibration existed in the vicinity of one side (${\theta}/{\Omega}$ > 1) of the boundaries of the instable region for each condition.

키워드

참고문헌

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  5. Discrete Singular Convolution Method for Dynamic Stability Analysis of Beams under Periodic Axial Forces vol.141, pp.10, 2015, https://doi.org/10.1061/(ASCE)EM.1943-7889.0000931
  6. Parametric instability analysis of a rotating shaft subjected to a periodic axial force by using discrete singular convolution method vol.52, pp.4-5, 2017, https://doi.org/10.1007/s11012-016-0457-4
  7. Free vibration analysis of beams with various interfaces by using a modified matched interface and boundary method vol.72, pp.1, 2019, https://doi.org/10.12989/sem.2019.72.1.001
  8. A Review on the Discrete Singular Convolution Algorithm and Its Applications in Structural Mechanics and Engineering vol.27, pp.5, 2012, https://doi.org/10.1007/s11831-019-09365-5