Structural Engineering and Mechanics

  • 제62권2호
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  • Pages.151-162
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  • 2017
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Assessments of dissipative structure-dependent integration methods

  • Chang, Shuenn-Yih (Department of Civil Engineering, National Taipei University of Technology)
  • 투고 : 2016.10.19
  • 심사 : 2016.12.24
  • 발행 : 2017.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

Two $Chang-{\alpha}$ dissipative family methods and two $KR-{\alpha}$ family methods were developed for time integration recently. Although the four family methods are in the category of the dissipative structure-dependent integration methods, their performances may be drastically different due to the detrimental property of weak instability or overshoot for the two $KR-{\alpha}$ family methods. This weak instability or overshoot will result in an adverse overshooting behavior or even numerical instability. In general, the four family methods can possess very similar numerical properties, such as unconditional stability, second-order accuracy, explicit formulation and controllable numerical damping. However, the two $KR-{\alpha}$ family methods are found to possess a weak instability property or overshoot in the high frequency responses to any nonzero initial conditions and thus this property will hinder them from practical applications. Whereas, the two $Chang-{\alpha}$ dissipative family methods have no such an adverse property. As a result, the performances of the two $Chang-{\alpha}$ dissipative family methods are much better than for the two $KR-{\alpha}$ family methods. Analytical assessments of all the four family methods are conducted in this work and numerical examples are used to confirm the analytical predictions.

키워드

과제정보

연구 과제 주관 기관 : National Science Council

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피인용 문헌

  1. Noniterative Integration Algorithms with Controllable Numerical Dissipations for Structural Dynamics pp.1793-6969, 2019, https://doi.org/10.1142/S0219876218501116
  2. Choices of Structure-Dependent Pseudodynamic Algorithms vol.145, pp.5, 2019, https://doi.org/10.1061/(ASCE)EM.1943-7889.0001599
  3. A dual family of dissipative structure-dependent integration methods for structural nonlinear dynamics vol.98, pp.1, 2017, https://doi.org/10.1007/s11071-019-05223-y
  4. A dissipative family of eigen-based integration methods for nonlinear dynamic analysis vol.75, pp.5, 2017, https://doi.org/10.12989/sem.2020.75.5.541
  5. Closure to “Choices of Structure-Dependent Pseudodynamic Algorithms” by Shuenn-Yih Chang vol.146, pp.12, 2017, https://doi.org/10.1061/(asce)em.1943-7889.0001866
  6. Discussion of Paper ‘Improved Explicit Integration Algorithms for Structural Dynamic Analysis with Unconditional Stability and Controllable Numerical Dissipation’ by Chinmoy Kolay & Ja vol.25, pp.14, 2021, https://doi.org/10.1080/13632469.2019.1662345