• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1999년도 봄 학술발표회 논문집
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• pp.169-176
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• 1999

An improved formulation for spatial stability md free vibration of thin-walled curved beams with variable curvature and non-symmetric cross sections are presented based on the displacement field considering the second order terms of finite semitangential rotations. By introducing Vlasov's assumptions, the total potential energy is derived from the principle of linearized virtual work for a continuum. In this formulation, all displacement parameters and the warping function are defined at the centroid axis so that the coupled terms of bending and torsion are added to the elastic strain energy. Also, the potential energy due to initial stress resultants is consistently derived corresponding to the semitangential rotation and moment. The cubic Hermitian polynomials are utilized as shape functions for development of the curved thin-walled beam element having eight degrees of freedom. In order to illustrate the accuracy and practical usefulness of this study, . numerical solutions for free vibration of arches are presented and compared with resells of other researchers and solutions analyzed by the ABAQUS's shell element.

• 소음진동
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• 제6권6호
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• pp.771-779
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• 1996

In this paper, double Fourier sine series is used as a modal displacement functions of a rectangular plate and applied to the free vibration analysis of a rectangular plate under various boundary conditions. The method of stationary potential energy is used to obtain the modal displacements of a plate. To enhance the flexibility of the double Fourier sine series, Lagrangian multipliers are utilized to match the geometric boundary conditions, and Stokes' transformation is used to handle the displacements that are not satisfied by the double Fourier sine series. The frequency parameters and mode shapes obtained by the present method are compared with those obtained by MSC/NASTRAN and other analysis.

• Steel and Composite Structures
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• 제37권1호
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• pp.37-49
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• 2020

In this paper, free vibration finite element analysis of axially moving laminated composite beams subjected to axial tension is studied. It is assumed that the beam has a constant axial velocity and is subject to uniform axial tension. The analysis is based on higher-order theories that have been presented by Carrera Unified Formulation (CUF). In the CUF technique, the three dimensional (3D) displacement fields are expressed as the approximation of the arbitrary order of the displacement unknowns over the cross-section. This higher-order expansion is considered in equivalent single layer (ESL) model. The governing equations of motion are obtained via Hamilton's principle. Finally, several numerical examples are presented and the effect of the ply-angle, travelling speed and axial tension on the natural frequencies and beam stability are demonstrated.

• 한국측량학회지
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• 제5권2호
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• pp.56-64
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• 1987

측점으로 이루어진 측량망내에 변위점이 포함되어 있을 경우 변위점검출을 위해 오차타원 및 신뢰타원 개념이 효과적으로 이용되고 있다. 본 연구에서는 측량망내에서 고정점의 선택과 기하학적 조건의 변화가 미지점 좌표의 정확도에 미치는 영향을 분석하고 각 측점들의 변위를 조사하기 위해 고정망 조정방법과 자유망조정 방법을 각각 비교 분석하였다. 본 연구를 통해 자유망조정에 의한 방법이 수평위치 결정의 정확도 향상과 변위점 검출에 있어 더 신뢰성 있는 결과를 나타낸다는 것을 알 수 있다.

• 산업기술연구
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• 제29권A호
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• pp.19-25
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• 2009

The proper orthogonal decomposition (POD) analysis of vibration of a steel frame structure is performed to extract modal parameters. The theoretical background of the POD method is introduced briefly, and this technique is further applied to free vibration displacements of one bay-two story steel frame structure to extract the modal parameters. From the POD analysis of the steel frame structure, it is found that important modal parameters such as true mode shapes, modal kinematic energy, natural frequencies, and damping ratios can be obtained for the building efficiently and in detail. Therefore, it is concluded that the POD method could be one of the useful techniques in analysis of vibration of structures.

• 한국운동역학회지
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• 제23권4호
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• pp.357-367
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• 2013

The purposes of this study were investigated physical compensation for gait on induced knee stiffness in normal subjects. Ten subjects were participated in the experiment(age: $26.0{\pm}6.3$ yrs, height: $175.5{\pm}5.3$ cm, weight: $69.1{\pm}6.1$ kg). The study method adopted 3D analysis with five cameras and ground reaction force with two force-plate. Induced knee stiffness level were classified as gait pattern on ROM of knee(free level, $30^{\circ}$ restriction level, fix level). The results were as follows; In angular displacement of hip joint, left hip joint was the more extended in mid-stance on induced right knee stiffness. In angular displacement of knee joint, there was no physical compensation on induced right knee stiffness, but free knee level gait was more flexed in swing phase of right knee joint. In angular displacement of ankle joint, right ankle joint was the more dorsiflexed on induced right knee stiffness, and $30^{\circ}$ restriction level and fix level gait were less plantarflexed in TO2. In trunk tilt, free and $30^{\circ}$ restriction level gait was more backward tilt on induced right knee stiffness. In ROM of each joint, right knee joint was more larger and trunk tilt was more lower on induced right knee stiffness. In GRF, Fx was more bigger lateral force in free and $30^{\circ}$ restriction level gait, and was more bigger medial force in fix level gait. Fy was more bigger propulsion force in free level gait, and was was more bigger braking force in $30^{\circ}$ restriction level gait. Left braking force in $30^{\circ}$ restriction level gait was more bigger. Fz was no significant.

• 한국지진공학회논문집
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• 제2권2호
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• pp.57-68
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• 1998

본 연구에서는 일축대칭 단면을 갖는 박벽 원형곡선보의 자유진동해석을 수행할 수 있는 유한요소 이론 및 엄밀해를 제시하기 위하여, 가상일의 원리를 이용한 3차원 연속체？ 운동방정식을 제시한다. 박벽단면의 구속된 비틂(restrained warping)효과를 고려하는 곡선보의 운동방정식을 얻는다. 단순지지되고 일축대칭 단면을 갖는 박벽 곡선보의 면외 고유진동에 대한 엄밀해를 제시하고 박벽 곡선보를 유한요소로 분할하여 요소의 변위장을 요소 변위벡터에 관한 3차의 Hermitian 다항식으로 나타내어 운동방정식에 대입함으로써 탄성강도행렬과 질량행렬을 유도한다. 또한 본 연구에서 얻어진 엄밀해와 박벽 곡선보요소를 이용한 유한요소 해석결과를 직선박벽보요소를 이용한 해석결과와 비교 검토를 함으로써 본 연구의 타당성을 입증한다.

• Smart Structures and Systems
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• 제29권3호
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• pp.395-420
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• 2022

A new hybrid quasi-3D and 2D high-order shear deformation theory is studied in this mathematical formulation, for an investigation of the bending, free vibrations and buckling influences on a functionally graded material plate. The theoretical formulation has been begun by a displacement field of five unknowns, governing the transverse displacement across the thickness of the plate by bending, shearing and stretching. The transverse shear deformation effect has been taken into consideration, satisfying the stress-free boundary conditions, especially on plate free surfaces as parabolic variation through its thickness. Thus, the mechanical properties of the functionally graded plate vary across the plate thickness, following three distributions forms: the power law, exponential form and the Mori-Tanaka scheme. The mechanical properties are used to develop the equations of motion, obtained from the Hamilton principle, and solved by applying the Navier-type solution for simply supported boundary conditions. The results obtained are compared with other solutions of 2D, 3D and quasi-3D plate theories have been found in the literature.

• 한국지반환경공학회 논문집
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• 제14권1호
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• pp.5-13
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• 2013

사질토 지반에 근입된 말뚝의 주변부에서는 말뚝의 수직하중에 의한 전단변형 시, 반경방향으로의 변위가 구속된다. 이러한 연직변위 구속상태에서의 전단강도는 기존의 직접전단실험으로는 모사하는데 어려움이 있다. 본 연구의 목적은 직접전단동안 연직변위를 허용하는 연직변위 허용조건(Free Normal Displacement: FND)의 직접전단실험과 연직변위를 허용하지 않는 연직변위 구속조건(Constrained Normal Displacement: CND)의 직접전단실험을 통하여 연직변위 구속여부가 전단강도에 미치는 영향을 평가 하는 것이다. 직접전단실험은 균등한 입도분포를 갖는 주문진 표준사를 사용하여, 연직변위의 구속여부에 따라 다양한 상대밀도와 초기응력조건 상태에서 수행되었다. 실험결과, CND 직접전단실험에서 얻은 전단강도는 FND 직접전단실험에서 얻은 전단강도보다 크게 나타났다. 또한, 상대밀도가 클수록 연직변위의 구속효과로 인한 전단강도의 증분이 더욱 늘어남을 보여주었다. 반면, 초기 연직응력의 증가는 구속효과로 인한 전단강도 증분의 감소로 나타나는 것을 관찰하였다. 본 연구에서는 경계부가 구속된 사질토지반의 안정성 평가 시, 전단강도에 대한 연직변위의 구속효과를 고려해야 함을 보여준다.

• 한국생산제조학회지
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• 제7권4호
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• pp.21-27
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• 1998

In the case of existing in free-edge delaminations of composite laminates which are symmetry with respect to mid-plane in laminates also, in the case of asymmetry and anti-symmetry, the generalized quasi-three dimensional displacement field equations developed from quasi-three dimensional displacement field equations can be applied to solve above cases. We introduce three paramenters in this paper, which have not been used in quasi-three dimensional displacement field equations until now. To the laminate subjected to the axial extension strain $\varepsilon$0(C1) in $\chi$-direction, the bending deformation $\chi$$\chi$(C$_2$) around у-direction, the bending deformation w$\chi$(C$_4$) around z-direction and the twisting deformation $\chi$$\chi$y(C$_3$) around $\chi$-direction .The generalized quasi-three dimensional displacement field equations are able to be analyzed efectively.