Structural Engineering and Mechanics

  • 제14권1호
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  • Pages.71-84
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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

Transient linear elastodynamic analysis in time domain based on the integro-differential equations

  • Sim, Woo-Jin (Department of Engineering Science and Mechanics, School of Mechanical Engineering Kum-Oh National University of Technology) ;
  • Lee, Sung-Hee (Department of Engineering Science and Mechanics, School of Mechanical Engineering Kum-Oh National University of Technology)
  • 투고 : 2001.04.02
  • 심사 : 2002.04.24
  • 발행 : 2002.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

A finite element formulation for the time-domain analysis of linear transient elastodynamic problems is presented based on the weak form obtained by applying the Galerkin's method to the integro-differential equations which contain the initial conditions implicitly and does not include the inertia terms. The weak form is extended temporally under the assumptions of the constant and linear time variations of field variables, since the time-stepping algorithms such as the Newmark method and the Wilson ${\theta}$-method are not necessary, obtaining two kinds of implicit finite element equations which are tested for numerical accuracy and convergency. Three classical examples having finite and infinite domains are solved and numerical results are compared with the other analytical and numerical solutions to show the versatility and accuracy of the presented formulation.

키워드

참고문헌

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피인용 문헌

  1. Finite element analysis of transient dynamic viscoelastic problems in time domain vol.19, pp.1, 2005, https://doi.org/10.1007/BF02916105
  2. 시간적분형 운동방정식에 근거한 동점탄성 문제의 응력해석 vol.27, pp.9, 2003, https://doi.org/10.3795/ksme-a.2003.27.9.1579