Structural Engineering and Mechanics

  • 제48권5호
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  • Pages.711-736
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  • 2013
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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

New implicit higher order time integration for dynamic analysis

  • Alamatian, Javad (Civil Engineering Department, Mashhad Branch, Islamic Azad University)
  • 투고 : 2012.06.10
  • 심사 : 2013.11.09
  • 발행 : 2013.12.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper new implicit time integration called N-IHOA is presented for dynamic analysis of high damping systems. Here, current displacement and velocity are assumed to be functions of the velocities and accelerations of several previous time steps, respectively. This definition causes that only one set of weighted factors is calculated from the Taylor series expansion which leads to a simple approach and reduce the computational efforts. Moreover a comprehensive study on stability of the proposed method i.e., N-IHOA compared with IHOA integration which is performed based on amplification matrices proves the ability of the N-IHOA in high damping vibrations such as control systems. Also, wide range of numerical examples which contains single/multi degrees of freedom, damped/un-damped, free/forced vibrations from finite element/finite difference demonstrate that the accuracy and efficiency of the proposed time integration is more than the common approaches such as the IHOA, the Wilson-${\theta}$ and the Newmark-${\beta}$.

키워드

참고문헌

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