Journal of Korean Society of Steel Construction (한국강구조학회 논문집)

Korean Society of Steel Construction (한국강구조학회)
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The Influence of Corner Stress Singularities on the Vibration of Rhombic Plates Having Various Edge Conditions

다양한 연단조건을 갖는 마름모꼴형 평판의 진동에 대한 모서리 응력특이도의 영향

  • Received : 2000.03.14
  • Published : 2000.08.27
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Abstract

An accurate method is presented for vibrations of rhombic plates having three different combinations of clamped, simply supported, and free edge conditions. A specific feature here is that the analysis explicitly considers the moment singularities that occur in the two opposite corners having obtuse angles of the rhombic plates. Stationary conditions of single-field Lagrangian functional are derived using the Ritz method. Convergence studies of frequencies show that the corner functions accelerate the convergence rate of solutions. In this paper, accurate frequencies and normalized contours of the vibratory transverse displacement are presented for highly skewed rhombic plates, so that a significant effect of corner stress singularities nay be understood.

본 논문에서는 고정, 단순, 또는 자유 연단 조건의 세 가지의 다른 조합을 갖는 마름모꼴형 평판의 진동에 대한 엄밀한 해석방법을 제시하였다. 본 논문의 주된 관점은 마름모꼴형 평판 둔각모서리에서 형성되는 모멘트특이도를 엄밀히 고려하여 해석하는 것이다. 단 영역 Lagrangian 범함수의 정상조건이 Ritz방법을 이용하여 유도되었다. 진동수의 수렴에 대한 연구는 모서리함수가 수렴속도를 가속화하는 것을 보여주고 있다. 본 논문에서는 모서리 응력특이도의 영향이 이해될 수 있도록 상당히 큰 둔각모서리를 갖는 마름모꼴 형 평판에 대한 정확한 진동수와 수직진동변위의 전형적인 등고선을 제시하였다.

Keywords

References

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