Structural Engineering and Mechanics

  • 제13권5호
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  • Pages.569-589
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  • 2002
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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

Integrated equations of motion for direct integration methods

  • Chang, Shuenn-Yih (National Center for Research on Earthquake Engineering, National Taiwan University)
  • 투고 : 2000.04.07
  • 심사 : 2002.03.06
  • 발행 : 2002.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

In performing the dynamic analysis, the step size used in a step-by-step integration method might be much smaller than that required by the accuracy consideration in order to capture the rapid chances of dynamic loading or to eliminate the linearization errors. It was first found by Chen and Robinson that these difficulties might be overcome by integrating the equations of motion with respect to time once. A further study of this technique is conducted herein. This include the theoretical evaluation and comparison of the capability to capture the rapid changes of dynamic loading if using the constant average acceleration method and its integral form and the exploration of the superiority of the time integration to reduce the linearization error. In addition, its advantage in the solution of the impact problems or the wave propagation problems is also numerically demonstrated. It seems that this time integration technique can be applicable to all the currently available direct integration methods.

키워드

과제정보

연구 과제 주관 기관 : National Science Council, Taiwan

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피인용 문헌

  1. Selection of time step for pseudodynamic testing vol.10, pp.3, 2011, https://doi.org/10.1007/s11803-011-0079-8
  2. Unconditional stability for explicit pseudodynamic testing vol.18, pp.4, 2004, https://doi.org/10.12989/sem.2004.18.4.411
  3. Analytical investigations of seismic responses for reinforced concrete bridge columns subjected to strong near-fault ground motion vol.6, pp.3, 2007, https://doi.org/10.1007/s11803-007-0757-8
  4. A FAST AND ACCURATE STEP-BY-STEP SOLUTION PROCEDURE FOR DIRECT INTEGRATION vol.11, pp.03, 2011, https://doi.org/10.1142/S0219455411004178
  5. Extensions of nonlinear error propagation analysis for explicit pseudodynamic testing vol.8, pp.1, 2009, https://doi.org/10.1007/s11803-009-8145-1
  6. A ROBUST TIME-INTEGRATION ALGORITHM FOR SOLVING NONLINEAR DYNAMIC PROBLEMS WITH LARGE ROTATIONS AND DISPLACEMENTS vol.12, pp.06, 2012, https://doi.org/10.1142/S0219455412500514
  7. A family of dissipative structure-dependent integration methods vol.55, pp.4, 2015, https://doi.org/10.12989/sem.2015.55.4.815
  8. Extended implicit integration process by utilizing nonlinear dynamics in finite element vol.64, pp.4, 2002, https://doi.org/10.12989/sem.2017.64.4.495