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2015 Vol.28, Issue 5 Preview Page
3-D Free Vibration Analysis of Exponential and Power-law Functionally Graded Material(FGM) Plates

지수 및 멱 법칙 점진기능재료 판의 3차원 자유진동해석

Lee Won-Hong
,
Han Sung-Cheon
,
Ahn Jin-Hee
,
Park Weon-Tae†*
Department of Civil Engineering
Department of Civil & Railroad Engineering
Department of Civil Engineering
Division of Construction and Environmental Engineering

• 본 논문에 대한 토의를 2015년 10월 30일까지 학회로 보내주시면 2015년 12월호에 토론결과를 게재하겠습니다.

*Corresponding Author : pwtae@kongju.ac.kr
2015. pp. 553-561
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Abstract

지수 함수 및 멱 법칙 함수를 이용한 점진기능재료(FGM) 판의 전단 및 두께 방향 변형을 고려한 이론을 정식화하여 동적 평형방정식을 유도하였다. 지수 함수 및 멱 법칙 함수는 두께 방향으로 재료의 변화를 고려할 수 있고 3차원 해석방법은 전단 및 두께 방향 변형을 고려함으로써 점진기능재료의 정확한 구조적 특성을 고려할 수 있다. Pasternak탄성지반 위에 놓인 4변이 단순 지지되고 전단 및 두께 방향 변형이 고려된 점진기능재료 판의 지배방정식을 풀기 위해 Navier 방법을 사용하였다. 거듭제곱 지수와 3차원 해석의 효과를 나타내기 위한 지수 및 멱 법칙 점진기능재료 판의 동적 해석결과를 제시하였다. 기존의 2차원 고차전단변형 이론 및 3차원 이론과의 관계를 수치해석 결과를 통하여 고찰하였다. 또한 (i) 거듭제곱 지수, (ii) 폭-두께 비, 그리고 (iii) 탄성지반 계수, 등이 점진기능재료 판의 자유진동수에 미치는 효과에 대하여 관찰하였다. 본 연구의 결과를 검증하기 위해 참고문헌의 결과들과 비교 분석하였다.

The exponential and power law functionally graded material(FGM) theory is reformulated considering the refined shear and normal deformation theory. This theory has ability to capture the both normal deformation effect and exponential and power law function in terms of the volume fraction of the constituents for material properties through the plate thickness. Navier's method has been used to solve the governing equations for all edges simply supported plates on Pasternak elastic foundation. Numerical solutions of vibration analysis of FGM plates are presented using this theory to illustrate the effects of power law index and 3-D theory of exponential and power law function on natural frequency. The relations between 3-D and 2-D higher-order shear deformation theory are discussed by numerical results. Further, effects of (i) power law index, (ii) side-to-thickness ratio, and (iii) elastic foundation parameter on nondimensional natural frequency are studied. To validate the present solutions, the reference solutions are discussed.

키워드
3차원 자유진동해석, 지수 및 멱 법칙 점진기능재료, 탄성지반, 거듭제곱 지수, 폭-두께 비
3-D free vibration analysis; exponential and power law functionally graded material(FGM); elastic foundation; power law index; side-to-thickness
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Information
  • Publisher :Computational Structural Engineering Institute of Korea
  • Publisher(Ko) :한국전산구조공학회
  • Journal Title :Journal of the Computational Structural Engineering Institute of Korea
  • Journal Title(Ko) :한국전산구조공학회 논문집
  • Volume : 28
  • No :5
  • Pages :553-561
  • Received Date : 2015-08-20
  • Revised Date : 2015-09-08
  • Accepted Date : 2015-09-14
  • DOI :https://doi.org/10.7734/COSEIK.2015.28.5.553
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