Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Moving Support Elements for Dynamic Finite Element Analysis of Statically Determinate Beams Subjected to Support Motions

지점운동을 받는 정정보의 동해석을 위한 동지점 유한요소 개발

  • Received : 2012.11.16
  • Accepted : 2013.01.21
  • Published : 2013.04.01
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Abstract

A finite element formulation for a Rayleigh-damped Bernoulli-Euler beam subjected to support motions, which accompanies quasi-static rigid-body motion, is presented by using the quasi-static decomposition method. Moving support beam elements, one of whose nodes is coincident with the moving support, are developed to represent the effect of a moving support. Statically determinate beams subjected to support motions can be modeled successfully by using moving support elements. Examples of cantilever and simply-supported beams subjected to support motions are illustrated, and the numerical results are compared with the analytical solutions. The comparison shows good agreement.

지점운동을 받는 베르누이-오일러 보의 동적 유한요소해석을 위하여, 준정적 분해법을 사용하여 유한요소 정식화 및 지점운동 묘사를 위한 보요소를 개발하였다. 이 보요소들은 전통적인 2 절점 Hermitian 보 요소로서 기존의 모델링 방법을 그대로 따르면서 한 쪽 절점이 운동하는 지점과 일치하는 경우 해당 요소만을 본 연구에서 제안하는 요소로 대체하여 사용할 수 있도록 수식화하였다. 이 요소의 유용성과 정확성을 보이기 위해 지점운동을 받는 정정보들에 대해 수치실험을 실시하고 그 결과들을 이론해와 비교함으로써 사용이 간편함과 동시에 정확도가 매우 높다는 사실을 보였다.

Keywords

References

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