• Structural Engineering and Mechanics
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• 제55권4호
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• pp.703-717
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• 2015

In this paper, a simple n-order refined theory based on neutral surface position is developed for bending and frees vibration analyses of functionally graded beams. The present theory is variationally consistent, uses the n-order polynomial term to represent the displacement field, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. The governing equations are derived by employing the Hamilton's principle and the physical neutral surface concept. The accuracy of the present solutions is verified by comparing the obtained results with available published ones.

• Structural Engineering and Mechanics
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• 제69권2호
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• pp.145-153
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• 2019

Modified couple stress formulation and first order shear deformation theory are used for magneto-electro-elastic bending analysis of three-layered curved size-dependent beam subjected to mechanical, magnetic and electrical loads. The governing equations are derived using a displacement field including radial and transverse displacements of middle surface and a rotation component. Size dependency is accounted based on modified couple stress theory by employing a small scale parameter. The numerical results are presented to study the influence of small scale parameter, initial electric and magnetic potentials and opening angle on the magneto-electro-elastic bending results of curved micro beam.

• Steel and Composite Structures
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• 제42권5호
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• pp.711-722
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• 2022

In this paper, hyperbolic shear deformation plate theory is developed for thermal buckling of functionally graded plates with porosity by dividing transverse displacement into bending and shear parts. The present theory is variationally consistent, and accounts for a quadratic variation of the transverse shearstrains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Three different patterns of porosity distributions (including even and uneven distribution patterns, and the logarithmic-uneven pattern) are considered. The logarithmic-uneven porosities for first time is mentioned. Equilibrium and stability equations are derived based on the present theory. The non-linear governing equations are solved for plates subjected to simply supported boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. A comprehensive parametric study is carried out to assess the effects of volume fraction index, porosity fraction index, aspect ratio and side-to-thickness ratio on the buckling temperature difference of imperfect FG plates.

• 한국지반공학회논문집
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• 제18권4호
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• pp.339-347
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• 2002

보강토 옹벽에 체인을 보강재로 사용한 경우의 인발저항력 평가를 위한 현장실험을 실시하였다. 실험에서는 횡방향 부재로 강봉이나 L-형 강재앵글을 고려하였으며, 체인의 길이(20m, 2.5m 그리고 3.0m), 보강재의 조합(체인단독, 체인＋강봉 그리고 체인＋앵글) 그리고 설치위치 등을 다르게 하여 총 80개소에 대해서 인발실험을 실시하였다. 체인 또는 체인＋강봉의 경우, 최대 변위는 평균 150mm였으며, 인발하중은 지속적으로 증가하다가 체인의 극한강도에 도달하면 파단(인장파괴)되는 것으로 나타났다. 그러나 체인에 L-형 앵글을 조합한 경우에는 최대변위가 평균 100mm정도로서 변위 억제에 큰 효과가 있는 것으로 나타났다. 현장에서 측정된 항복 인발하중값을 이론값과 비교했을 때는 보강 방법 또는 연직응력에 따라서 현장 측정값이 이론값 보다 약 1.2~3배정도 큰 것으로 나타났으며, 체인의 길이, 연직하중의 크기, 횡방향 부재의 조합에 따라서 항복 인발하중의 크기는 변화하는 것으로 나타났다. 그러나 강봉과 L-형 앵글사이에 차이는 현저하지 않았다. 체인을 보강재로 사용하는 경우 기존의 이론식을 적용한 설계나 시공은 안전측으로 나타났으나, 체인의 인발 저항력이 너무 과소 평가되어 있다고 판단되었다.

• 한국광학회지
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• 제15권5호
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• pp.435-442
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• 2004

직선격자와 원형격자의 혼합형태인 EC(Elongated circular) 격자의 무아레 무늬로 수 $\mu\textrm{m}$의 선형 횡변위를 보기 위하여 자체결상법으로 무아레 무늬를 형성하고 이를 신호처리하여 횡변위를 정밀하게 측정하였다. CCD 카메라로 측정한 무아레 무늬의 직선격자 부분을 고주파 필터링(filtering)과 스무딩(smooothing) 및 2차함수 피팅(fitting)하고, 이 결과의 1차 미분으로부터 영점교차의 위치를 세어서 직선격자 부분의 밝은 무늬의 위치를 측정하였다. 그리고 EC격자의 원형격자 부분에 의한 무아레 무늬는 고주파 필터링과 스무딩으로 구한 결과의 1차 미분에서 나온 영점교차 개수로부터 원형격자의 밝은 부분의 개수를 셈으로써 선형 횡변위의 EC격자 피치에 대한 정수배의 선형이동량을 정확히 계측하였다. 이 결과 80 $\mu\textrm{m}$ 이하의 횡변위에 대해서 지금까지 무아레 무늬로부터 가시적으로 구한 선형 횡변위량보다 훨씬 정확한 3% 이하의 정확도로 횡변위를 구할 수 있었다.

• 한국터널지하공간학회 논문집
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• 제8권2호
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• pp.101-113
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• 2006

안정된 암반에 터널을 굴착하는 경우 아칭효과에 의해 막장주변에 응력재배치가 발생하고 터널 막장 전방에 연약대가 존재하는 경우 응력재배치가 충분히 이루어지지 않아 막장과 연약대 사이의 응력집중으로 인해 변위가 발생하게 된다. 만일 막장에 근접하여 측점에서 종방향, 횡방향, 연직방향의 3차원 절대좌표가 측정되는 경우 막장전방의 지반거동이 반영된 3차원 절대변위가 산정되고, 이러한 3차원 절대변위의 분석을 통해 막장전방의 지반조건을 예측할 수 있게 된다. 본 연구에서는 4개 현장에서 측정된 3차원 변위비의 경향선과 천단침하의 영향선/경향선 분석을 실시하여 연약대 위치를 추정하였고, 3차원 절대변위의 분석에 의해 추정된 연약대 위치를 동일한 구간에서의 TSP탐사로 추정된 연약대 위치와 비교함으로써 3차원 절대변위 해석기법의 현장 적용성을 검증하였다.

• Advances in aircraft and spacecraft science
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• 제4권6호
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• pp.639-650
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• 2017

The objective of this paper is to obtain three-dimensional (3D) effective properties for layered composites with imperfect interfaces using mechanics of structure genome. The imperfect interface is modeled using linear traction-displacement model that allows small infinitesimal displacement jump across the interface. The predictions obtained from the current analysis are compared with the 3D finite element analysis (FEA). In this study, it is found that the present model shows excellent agreement with the results obtained using 3D FEA by employing periodic boundary conditions. The prediction also reveals that in-plane longitudinal and shear moduli, and all Poisson's ratios are observed to be not affected by the interfacial stiffness while the predictions of transverse longitudinal and shear moduli are significantly influenced by interfacial stiffness.

• 대한기계학회논문집A
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• 제29권12권
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• pp.1574-1585
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• 2005

In this paper, a spectral element model is developed for the uniform straight pipelines conveying internal unsteady fluid. Four coupled pipe-dynamics equations are derived first by using the Hamilton's principle and the principles of fluid mechanics. The transverse displacement, the axial displacement, the fluid pressure and the fluid velocity are all considered as the dependent variables. The coupled pipe-dynamics equations are then linearized about the steady state values of the fluid pressure and velocity. As the final step, the spectral element model represented by the exact dynamic stiffness matrix, which is often called spectral element matrix, is formulated by using the frequency-domain solutions of the linearized pipe-dynamics equations. The FFT-based spectral dynamic analyses are conducted to evaluate the accuracy of the present spectral element model and also to investigate the structural dynamic characteristics and the internal fluid transients of an example pipeline system.

• Structural Engineering and Mechanics
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• 제13권6호
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• pp.695-711
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• 2002

Here, the dynamic response characteristics of thick cross-ply laminated composite cylindrical shells are studied using a higher-order displacement model. The formulation accounts for the nonlinear variation of the in-plane and transverse displacements through the thickness, and abrupt discontinuity in slope of the in-plane displacements at any interface. The effect of inplane and rotary inertia terms is included. The analysis is carried out using finite element approach. The influences of various terms in the higher-order displacement field on the free vibrations, and transient dynamic response characteristics of cylindrical composite shells subjected to thermal and mechanical loads are analyzed.

• 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.