Structural Engineering and Mechanics

  • 제35권2호
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  • Pages.175-190
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  • 2010
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

New decoupled wavelet bases for multiresolution structural analysis

  • Wang, Youming (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University) ;
  • Chen, Xuefeng (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University) ;
  • He, Yumin (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University) ;
  • He, Zhengjia (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University)
  • 투고 : 2008.07.01
  • 심사 : 2010.01.06
  • 발행 : 2010.05.30
⟨ 이전 논문 다음 논문 ⟩

초록

One of the intractable problems in multiresolution structural analysis is the decoupling computation between scales, which can be realized by the operator-orthogonal wavelets based on the lifting scheme. The multiresolution finite element space is described and the formulation of multiresolution finite element models for structural problems is discussed. Various operator-orthogonal wavelets are constructed by the lifting scheme according to the operators of multiresolution finite element models. A dynamic multiresolution algorithm using operator-orthogonal wavelets is proposed to solve structural problems. Numerical examples demonstrate that the lifting scheme is a flexible and efficient tool to construct operator-orthogonal wavelets for multiresolution structural analysis with high convergence rate.

키워드

참고문헌

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피인용 문헌

  1. An Improved Method of Parameter Identification and Damage Detection in Beam Structures under Flexural Vibration Using Wavelet Multi-Resolution Analysis vol.15, pp.12, 2015, https://doi.org/10.3390/s150922750
  2. A two-step damage identification approach for beam structures based on wavelet transform and genetic algorithm vol.51, pp.3, 2016, https://doi.org/10.1007/s11012-015-0227-8
  3. Wavelet-based numerical analysis: A review and classification vol.81, 2014, https://doi.org/10.1016/j.finel.2013.11.001
  4. The construction of second generation wavelet-based multivariable finite elements for multiscale analysis of beam problems vol.50, pp.5, 2014, https://doi.org/10.12989/sem.2014.50.5.679
  5. The construction of multivariable Reissner-Mindlin plate elements based on B-spline wavelet on the interval vol.38, pp.6, 2010, https://doi.org/10.12989/sem.2011.38.6.733
  6. Galerkin Meshfree Methods: A Review and Mathematical Implementation Aspects vol.5, pp.4, 2010, https://doi.org/10.1007/s40819-019-0665-4