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

The Korean Society of Mechanical Engineers (대한기계학회)
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Gaussian Kernel Smoothing of Explicit Transient Responses for Drop-Impact Analysis

낙하 충격 해석을 위한 명시법 과도응답의 가우스커널 평활화 기법

  • Received : 2010.12.20
  • Accepted : 2011.01.07
  • Published : 2011.03.01
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Abstract

The explicit finite element method is an essential tool for solving large problems with severe nonlinear characteristics, but its results can be difficult to interpret. In particular, it can be impossible to evaluate its acceleration responses because of severe discontinuity, extreme noise or aliasing. We suggest a new post-processing method for transient responses and their response spectra. We propose smoothing methods using a Gaussian kernel without in depth knowledge of the complex frequency characteristics; such methods are successfully used in the filtering of digital signals. This smoothing can be done by measuring the velocity results and monitoring the response spectra. Gaussian kernel smoothing gives a better smoothness and representation of the peak values than other approaches do. The floor response spectra can be derived using smoothed accelerations for the design.

명시적 유한요소법은 비선형성이 많은 대형 문제를 푸는 데는 꼭 필요하지만 종종 그 결과의 해석에 있어서는 어려움이 수반된다. 특별한 경우, 가속도의 과도응답은 극심한 불연속, 과도한 노이즈 또는 앨리어싱이 발생하여 평가가 불가능할 때도 있다. 본 논문에서는 유한요소법의 명시적분에 의한 과도응답 및 응답스펙트럼의 새로운 후처리기법을 제안한다. 해석기에 의한 가속도 거동의 수치적인 에러를 제거하고 물리적인 가속도를 추출하기 위하여 가우스커널을 이용하는 평활화법을 제안하였다. 이 평활화는 신호처리 필터링 기법과 같이 복잡한 주파수에 대한 고려가 없이도 속도에 대한 결과와 응답스펙트럼을 참조함으로써 행해진다. 특히 가우스커널 평활화는 가속도의 피크 값을 잘 나타내면서도 평활도가 우수하였다. 제안된 평활화법에 의하여 부드러운 가속도는 물론 이를 이용하여 설계에서 필요한 층 응답스펙트럼을 구할 수 있다.

Keywords

References

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