• Structural Engineering and Mechanics
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• 제18권5호
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• pp.671-690
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• 2004

An assumed strain finite strip method(FSM) using the non-periodic B-spline for a shell is presented. In the present method, the shape function based on the non-periodic B-splines satisfies the Kronecker delta properties at the boundaries and allows to introduce interior supports in much the same way as in a conventional finite element formulation. In the formulation for a shell, the geometry of the shell is defined by non-periodic B3-splines without any tangential vectors at the ends and the penalty function method is used to incorporate the drilling degrees of freedom. In this study, new assumed strain fields using the non-periodic B-spline function are proposed to overcome the locking problems. The strip formulated in this way does not posses any spurious zero energy modes. The versatility and accuracy of the new approach are demonstrated through a series of numerical examples.

• Structural Engineering and Mechanics
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• 제6권8호
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• pp.921-937
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• 1998

A new four-node degenerated shell element with drilling degrees of freedom (DOF) is proposed. Allman-type displacement approximation is incorporated into the formulation of degenerated shell elements. The approximation improves in-plane performance and eliminates singularities of system matrices resulted from DOF deficiency. Transverse shear locking is circumvented by introducing assumed covariant shear strains. Two kinds of penalty energy are considered in the formulation for the purpose of suppressing spurious modes and representing true drilling rotations. The proposed element can be applied to almost all kinds of shell problems including composite laminated shell structures and folded shell structures. Numerical examples show that the element is of good accuracy and of reasonably fast convergence rate.

• 한국지진공학회논문집
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• 제5권3호
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• pp.57-64
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• 2001

보강된 판 및 쉘구조의 동적 비선형해석을 수행하기 위하여, 유한회전을 고려한 변형된 쉘유한요소를 이용하여 total Lagrangian formulation이 제시된다. 전단구속 (shear locking) 현상과 가상의 제로에너지 모우드를 동시에 제거하기 위하여 가정변형도 개념을 채용한다. 탄소성해석에서는 return mapping 미해rithm이 쉘구조의 붕괴 해석에 적용된다. Newmark 직접적분법을 사용하여 동하중 및 지진하중을 받는 쉘구조의 동적 비선형해석 결과를 제시한다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1987년도 정기총회 및 창립40주년기념 학술대회 학회본부
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• pp.242-244
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• 1987

Using the energy trapping theory and the acoustic coupling theory. the Bandpass filter(center frequency = 10.7 MHz) of the fundamental thickness mode was made from the composition of $Pb_{0.96}Sr_{0.04}(Zr_{0.53}Ti_{0.47})O_3$+ 1wt% $Fe_2O_3$. Also, in the double mode monolithic filter, It was observed that as decreasing the size of the electrodes, or shortening the gap between two electrodes, the percent frequency separation was increased. Based on these. a 10.7 MHz uniwafer filter was made having the characteristics that bandwidth was 700 KHz and the percent frequency separation was 6 [dB] and selectivity was 29 [dB], end spurious response was 24 [dB] and insertion loss was 7 [dB].

• Structural Engineering and Mechanics
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• 제4권5호
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• pp.569-586
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• 1996

A new three-dimensional 8-node solid element with rotational degrees of freedom is presented. The proposed element is established by adding rotational degrees of freedom to the basic 8-node solid element. Thus the element has three translations and three rotational degrees of freedom per node. The corner rotations are introduced by transforming the hierarchical mid-edge displacements which are parabolic shape along an edge. The derivation of the element is based on the mixed variational principles in which the rotations are introduced as independent variables. Several types of non-conforming modes are selectively added to the displacement fields to obtain a series of improved elements. The resulting elements do not have the spurious zero energy modes and Poisson's ratio locking and pass patch test. Numerical examples show that presented non-conforming solid elements with rotational degrees of freedom show good performance even in the highly distorted meshes.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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• pp.120-128
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• 2002

In order to analyze shell structures more accurately and effectively, a hybrid 4-node quadrilateral shell element is formulated. The element includes the frilling degrees of freedom and the independent parameter terms of the stress resultants are appropriately selected to overcome some of the shortcomings of the standard 4-node quadrilateral elements. In order to show the accuracy and convergent characteristics of the proposed shell element, three numerical examples are analyzed and the results are compared with the existed. As a result of this study, following conclusions are obtained. (1)Analysis results by the proposed element are less sensitive to the element geometric distortion. (2)The proposed element does not produce any spurious zero-energy modes

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2011년도 정기 학술대회
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• pp.760-763
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• 2011

본 논문의 목적은 효율적인 3절점 판 유한요소를 개발하는 것이다. Hellinger-Reissner 범함수에 근거한 혼합정식화(mixed formulation)를 사용한다. 잠김현상을 일으키는 전단변형률장을 독립적으로 분리한 후, MITC(Mixed Interpolation of Tensorial Components)방법을 이용하여 대체전단변형률장(assumed transverse shear strain field)을 구성한다. 추가적으로 회전된 반변기저벡터(contravariant base vector)로 정의된 근사전단변형률장(approximated transverse shear strain field)에 미지수(unknowns)를 도입하여 혼합정식화를 완성시키고 정적응축(static condensation)을 통해 최종 강성행렬을 구성한다. 거짓영에너지모드시험(spurious zero energy mode test), 조각시험(patch test), 등방성시험(isotropic test) 등을 실시하였으며, 4변 완전구속 정사각형 판 구조물과 60도 기울어진 단순지지 판 구조물 등 예제들을 해석하여 MITC3판 유한요소와 수렴성능을 비교하였다.

• 전산구조공학
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• 제5권2호
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• pp.119-127
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• 1992

변형영화(strain-softening)현상을 보이는 철근 콘크리트 구조물의 실제 파괴 발생시까지의 거동을 해석하기 위하여 변위제어법을 사용하고, 해석결과의 신뢰도가 떨어지지 않으면서도 해석 수행시간을 줄이기 위하여 기존의 층상화 방법과 비층상화 방법의 장점을 조합한 새로운 기법에 의하여 구조물의 해석을 실시하였다. 또한 선택된 요소의 크기에 따라 해석결과가 다르게 나타나는 현상을 보정해 주기 위한 방법으로 파괴 에너지의 개념을 도입하여 단면의 변형도 분포를 바꾸어 주는 방식을 제안하였으며, 이에 의한 해석을 실시하여 실험치와 비교하였다.

• Structural Engineering and Mechanics
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• 제5권6호
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• pp.785-801
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• 1997

Reinforced Concrete beams with tension and compression softening material constitutive laws are studied. Energy-based and non-local regularisation techniques are presented and applied to a R.C. element. The element characteristics (sectional tangent stiffness matrix, element tangent stiffness matrix restoring forces) are directly derived from their symbolic expressions through numerical integration. In this way the same spatial grid allows us to obtain a non-local strain estimate and also to sample the contributions to the element stiffness matrix. Three examples show the spurious behaviors due to the strain localization and the stabilization effects given by the regularisation techniques, both in the case of tension and compression softening. The possibility to overestimate the ultimate load level when the non-local strain measure is applied to a non softening material is shown.

• Structural Engineering and Mechanics
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• 제33권4호
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• pp.485-502
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• 2009

A new 8-node serendipity quadrilateral plate bending element (MQP8) based on the Mindlin-Reissner theory for the analysis of thin and moderately thick plate bending problems using Integrated Force Method is presented in this paper. The performance of this new element (MQP8) is studied for accuracy and convergence by analyzing many standard benchmark plate bending problems. This new element MQP8 performs excellent in both thin and moderately thick plate bending situations. And also this element is free from spurious/zero energy modes and free from shear locking problem.