• 한국소음진동공학회논문집
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• 제18권11호
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• pp.1157-1169
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• 2008

This paper presents spectral element formulation which approximates Lamb wave propagation by PZT transducers bonded on a thin plate. A two layer beam model under 2-D plane strain condition is introduced to simulate high-frequency dynamic responses induced by a piezoelectric (PZT) layer rigidly bonded on a base plate. Mindlin-Herrmann and Timoshenko beam theories are employed to represent the first symmetric and anti-symmetric Lamb wave modes on a base plate, respectively. The Euler-Bernoulli beam theory and 1-D linear piezoelectricity are used to model the electro-mechanical behavior of a PZT layer. The equations of motions of a two layer beam model are derived through Hamilton's principle. The necessary boundary conditions associated with the electro-mechanical properties of a PZT layer are formulated in the context of dual functions of a PZT layer as an actuator and a sensor. General spectral shape functions of response field and the associated boundary conditions are obtained through equations of motions converted into frequency domain. Detailed spectrum element formulation for composing the dynamic stiffness matrix of a two layer beam model is presented as well. The validity of the proposed spectral element is demonstrated through numerical examples.

• Structural Engineering and Mechanics
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• 제7권5호
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• pp.473-484
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• 1999

In the present study, the thermal buckling analysis of thick anisotropic laminated composite plates is carried out using the finite strip method based on the higher-order shear deformation theory. This theory accounts for the parabolic distribution of the transverse shear strains through the thickness of the plate and for zero transverse shear stresses on the plate surfaces. Therefore, this theory yields improved results over the Mindlin plate theory and eliminates the need for shear correction factors in calculating the transverse shear stiffness. The critical temperatures of simply supported rectangular cross-ply and angle-ply composite laminates are calculated. The effects of several parameters, such as the aspect ratio, the length-to-thickness ratio, the number of plies, fibre orientation and stacking sequence, are investigated.

• 한국산학기술학회논문지
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• 제11권6호
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• pp.2284-2291
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• 2010

본 논문에서는 회전관성과 전단변형이 고려된 8절점 쉘 요소를 이용한 판의 진동해석을 연구하였다. 면내 잠김과 전단 잠김 현상을 극복하기 위하여 가정자연변형률 방법을 이용하였다. 8절점 쉘 요소의 성능 향상을 위해 새로운 보간점의 조합을 이용한 가정변형률 방법을 사용하였다. Reissner-Mindlin 이론에 근거한 개선된 1차 전단변형이론을 적용하여 회전관성을 고려하였으며 전단보정계수를 사용하지 않았다. 본 연구의 결과를 검증하기 위해 참고문헌의 직사각형 판의 동적 해석결과를 제시하였다. 해석결과는 참고문헌의 결과와 잘 일치하였다. 또한 감쇄효과가 고려된 판의 진동해석을 수행하였다.

• 한국전산구조공학회논문집
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• 제18권2호
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• pp.151-158
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• 2005

본 연구에서는 유한요소법을 이용하여 Pasternak 지반 위에 놓인 보강판의 고유치해석을 수행하였다. 보강판 해석은 Mindlin 판 이론과 Timoshenko 보-기둥 이론을 적용하여 해석하였으며, 유한요소법 적용시 판요소는 8절점 Serendipity 요소계를, 보요소는 3절점 유한요소를 적용하였다. 탄성지반은 지반의 연속성을 고려한 Pasternak 지반으로 모형화하였다. 본 연구의 타당성을 검증하기 위하여 이 연구의 결과를 문헌, 실험 및 SAP 2000의 결과와 비교하였다. 이 연구의 결과로 문헌 해가 존재하지 않는 Pasternak 지반 위에 놓인 보강판의 지반 변수의 변화 및 보강재 크기에 따른 고유진동수를 산정하였다.

• Structural Engineering and Mechanics
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• 제40권4호
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• pp.501-515
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• 2011

Sandwich elements have high flexural rigidity and high strength per density. They also have excellent anti-vibration and anti-noise characteristics. Therefore, they are used for structures of airplanes and high speed ships that must be light, as well as strong. In this paper, the Reissner-Mindlin's plate theory is studied from a Hamilton's principle point of view. This theory is modified to include the influence of shear deformation and rotary inertia, and the equation of motion is derived using energy relationships. The theory is applied to a rectangular sandwich model which has isotropic, asymmetrical faces and an isotropic core. Investigations are conducted for five different plate thicknesses. These plates are identical to the sandwich plates currently used in various structural elements of surface effect ships (SES). The boundary conditions are set to simple supports and fixed supports. The elastic and shear moduli are obtained from the four-point bending tests on the sandwich beams.

• Structural Engineering and Mechanics
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• 제26권1호
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• pp.69-86
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• 2007

A four-noded plate bending quadrilateral (PBQ4) and an eight-noded plate bending quadrilateral (PBQ8) element based on Mindlin plate theory have been adopted for modeling the thick plates on elastic foundations using Winkler model. Transverse shear deformations have been included, and the stiffness matrices of the plate elements and the Winkler foundation stiffness matrices are developed using Finite Element Method based on thick plate theory. A computer program is coded for this purpose. Various loading and boundary conditions are considered, and examples from the literature are solved for comparison. Shear locking problem in the PBQ4 element is observed for small value of subgrade reaction and plate thickness. It is noted that prevention of shear locking problem in the analysis of the thin plate is generally possible by using element PBQ8. It can be concluded that, the element PBQ8 is more effective and reliable than element PBQ4 for solving problems of thin and thick plates on elastic foundations.

• 한국소음진동공학회논문집
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• 제13권12호
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• pp.947-955
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• 2003

This research analyzes the dynamic stability of stiffened plates on elastic foundations using the finite element method. For analyzing the stiffened plates, both the Mindlin plate theory and Timoshenko beam-column theory were applied. In application of the finite element method, 8-nodes serendipity element system and 3-nodes finite element system were used for plate and beam elements, respectively Elastic foundations were modeled as the Pasternak foundations in which the continuity effect of foundation is considered. In order to verify the theory of this study, solutions obtained by this analysis were compared with the classical solutions in open literature and experimental solutions. The dynamic stability legions of stiffened plates on Pasternak foundations were determined according to changes of in-plane stresses, foundation parameters and dimensions of stiffener.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2003년도 가을 학술발표회 논문집
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• pp.37-44
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• 2003

In this proposed work, computational, finite element model far multi-delaminated plates will be developed. In the current analysis procedures of multi-delaminated plates, different elements are used at delaminated and undelaminated region separately. In the undelaminated region, plate element based on Mindlin plate theory is used in order to obtain accurate results of out-of-plane displacement of thick plate. And for delaminated region, plate element based on Kirchhoff plate theory is considered. To satisfy the displacement continuity conditions, displacement vector based on Kirchhoff theory is transformed to displacement of transition element. Element mass and stiffness matrices of each region (delaminated, undelaminated and transition region) will be assembled for global matrix.

• Composites Research
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• 제13권1호
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• pp.61-68
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• 2000

이방성 적층 복합재 판의 과도적인 파동 해석을 위한 새로운 방법을 제시하였다. Gabor wavelet을 사용하는 wavelet 변환을 분산성 굽힘파의 시간-주파수 해석에 적용하였다. 시간-주파수 영역에서 wavelet 변환의 크기의 최대값은 군속도의 도달시간을 나타냄을 보였다. 음향방출원으로서 연필심 파단을 사용하여 준등방성 판과 일방향 보강 적층판에서 실험을 수행하였다. 굽힘파의 분산 예측을 위하여 Mindlin 판이론을 사용하였으며,주파수의 함수로 몇 개의 방향에 대해 측정한 군속도 실험 결과와 잘 일치하였다. 굽힘파의 주파수 의존 도달 시간과 같은 파의군속도 방향의존성을 이용하여 이방성 판에서의 파손 위치를 결정하였으며, 그 결과를 제시하였다.

• 전산구조공학
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• 제3권3호
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• pp.101-111
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• 1990

p-version 유한요소법을 사용한 바닥 슬래브의 탄성해석은 어떤 종류의 요형모서리, 개구 그리고 손상단면을 갖는 점에서 응력특이성을 수반하게 된다. Reissner-Mindlin의 평판이론에 근거한 C.deg.- 평판 계층요소를 사용한 결과가 이론치 및 참고문헌에 발표된 수치해석값과 비교되었다. h-, p-와 hp-version의 수렴속도는 전체적 차원에서의 자유도 증가에 따른 에너지 노름값을 사용하여 예측할 수 있다. 만약에 자유도의 항으로 나타내지는 정확도를 여러 해석방법을 비교하는 기준으로 삼으면 본 연구에서 새로 제안되는 p-version 유한요소해석법의 근사해는 종래의 h-version에 근거하여 현재 까지 발표된 어떤 것 보다 훨씬 효율적 접근방법이라 하겠다. 해석예로는 150.deg. 둔각을 갖는 마름모꼴평판과 손상단면을 갖는 정방형평판이 사용되었다.