• Smart Structures and Systems
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• 제20권3호
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• pp.329-342
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• 2017

In this paper, the dispersion characteristics of elastic waves propagation in sandwich nano-beams with functionally graded (FG) face-sheets reinforced with carbon nanotubes (CNTs) is investigated based on various high order shear deformation beam theories (HOSDBTs) as well as nonlocal strain gradient theory (NSGT). In order to align CNTs as symmetric and asymmetric in top and bottom face-sheets with respect to neutral geometric axis of the sandwich nano-beam, various patterns are employed in this analysis. The sandwich nano-beam resting on Pasternak foundation is subjected to thermal, magnetic and electrical fields. In order to involve small scale parameter in governing equations, the NSGT is employed for this analysis. The governing equations of motion are derived using Hamilton's principle based on various HSDBTs. Then the governing equations are solved using analytical method. A detailed parametric study is conducted to study the effects of length scale parameter, different HSDBTs, the nonlocal parameter, various aligning of CNTs in thickness direction of face-sheets, different volume fraction of CNTs, foundation stiffness, applied voltage, magnetic intensity field and temperature change on the wave propagation characteristics of sandwich nano-beam. Also cut-off frequency and phase velocity are investigated in detail. According to results obtained, UU and VA patterns have the same cut-off frequency value but AV pattern has the lower value with respect to them.

• Structural Engineering and Mechanics
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• 제53권2호
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• pp.205-226
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• 2015

Finite element method (FEM) is an effective quantitative method to solve complex engineering problems. The basic idea of FEM for a complex problem is to be able to find a solution by reducing the problem made simple. If mathematical tools are inadequate to obtain precise result, even approximate result, FEM is the only method that can be used for structural analyses. In FEM, the domain is divided into a large number of simple, small and interconnected sub-regions called finite elements. FEM has been used commonly for linear and nonlinear analyses of different types of structures to give us accurate results of plane stress and plane strain problems in civil engineering area. In this paper, FEM is used to investigate stress analysis of a shear wall which is subjected to concentrated loads and fundamental principles of stress analysis of the shear wall are presented by using matrix displacement method in this paper. This study is consisting of two parts. In the first part, the shear wall is discretized with constant strain triangular finite elements and stiffness matrix and load vector which is attained from external effects are calculated for each of finite elements using matrix displacement method. As to second part of the study, finite element analysis of the shear wall is made by ANSYS software program. Results obtained in the second part are presented with tables and graphics, also results of each part is compared with each other, so the performance of the matrix displacement method is demonstrated. The solutions obtained by using the proposed method show excellent agreements with the results of ANSYS. The results show that this method is effective and preferable for the stress analysis of shell structures. Further studies should be carried out to be able to prove the efficiency of the matrix displacement method on the solution of plane stress problems using different types of structures.

• Advances in nano research
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• 제10권2호
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• pp.151-163
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• 2021

The main target of this study is to investigate nonlinear transient responses of moving polymer nano-size plates fortified by means of Graphene Platelets (GPLs) and resting on a Winkler-Pasternak foundation under a transverse pressure force and a temperature variation. Two graphene spreading forms dispersed through the plate thickness are studied, and the Halpin-Tsai micro-mechanics model is used to obtain the effective Young's modulus. Furthermore, the rule of mixture is employed to calculate the effective mass density and Poisson's ratio. In accordance with the first order shear deformation and von Karman theory for nonlinear systems, the kinematic equations are derived, and then nonlocal strain gradient scheme is used to reflect the effects of nonlocal and strain gradient parameters on small-size objects. Afterwards, a combined approach, kinetic dynamic relaxation method accompanied by Newmark technique, is hired for solving the time-varying equation sets, and Fortran program is developed to generate the numerical results. The accuracy of the current model is verified by comparative studies with available results in the literature. Finally, a parametric study is carried out to explore the effects of GPL's weight fractions and dispersion patterns, edge conditions, softening and hardening factors, the temperature change, the velocity of moving nanoplate and elastic foundation stiffness on the dynamic response of the structure. The result illustrates that the effects of nonlocality and strain gradient parameters are more remarkable in the higher magnitudes of the nanoplate speed.

• 대한토목학회논문집
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• 제28권3C호
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• pp.159-166
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• 2008

흙은 변형률에 따라 강성이 감소하는 비선형적 변형 특성을 가지지만, 매우 작은 변형률 영역($<10^{-3}%$)에서는 선형탄성적 특성을 갖는다고 알려져 있다. 본 연구에서는 응력 경로 시험 중 실시한 다축 벤더엘리먼트 시험을 통해 다양한 응력 상태에서 사질토의 이방적 전단탄성계수를 측정하고, 그 변화를 분석하고자 하였다. 응력 경로 시험에서는 내부 변형률 측정 장치 및 3 방향의 벤더 엘리먼트가 부착된 삼축 시험기를 이용하였다. 전단 중 응력비가 -0.5~1.5의 범위를 벗어나게 되면 축 방향 전단탄성계수는 응력과의 경험적 상관관계와 차이가 발생하였고, 이로부터 시료의 항복이 전단파 전달 구조를 변화시킴을 알 수 있었다. 수평방향 전단탄성계수의 변화는 전단 중 체적 상태의 변화와 밀접한 관계가 있음을 알 수 있었다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2005년도 춘계 학술발표회 논문집
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• pp.1148-1158
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• 2005

This work reports results of our study on the dynamic responses of the buried pipelines both along the axial and the transverse directions under various boundary end conditions. We have considered three cases, i.e., the free ends, the fixed ends, and the fixed-free ends. We have studied the seismic responses of the buried pipelines with the various boundary end conditions both along the axial and the transverse direction. We have considered three cases, i.e., the free ends, the fixed ends, and the fixed-free ends for the axial direction, and three more cases including the guided ends, the simply supported ends, and the supported-guided ends for the transverse direction. The buried pipelines are modeled as beams on elastic foundation while the seismic waves as a ground displacement in the form of a sinusoidal wave. The natural frequency and its mode, and the effect of parameters have been interpreted in terms of free vibration. The natural frequency varies most significantly by the soil stiffness and the length of the buried pipelines in the case of free vibration, which increases with increasing soil stiffness and decreases with increasing length of the buried pipeline. Such a behavior appears most prominently along the axial rather than the transverse direction of the buried pipelines. The resulting frequencies and the mode shapes obtained from the free vibration for the various boundary end conditions of the pipelines have been utilized to derive the mathematical formulae for the displacements and the strains along the axial direction, and the displacements and the bending strains along the transverse direction in case of the forced vibration. The negligibly small difference of 6.2% between our result and that of Ogawa et. al. (2001) for the axial strain with a one second period confirms the accuracy of our approach in this study.

• Geomechanics and Engineering
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• 제35권6호
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• pp.603-615
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• 2023

Population growth and urbanization prompted engineers to propose more sophisticated and efficient transportation methods, such as underground transit systems. However, due to limited urban space, it is necessary to construct these tunnels in close proximity to existing infrastructure like high-rise buildings and bridges. Battered piles have been widely used for their higher stiffness and bearing capacity compared to vertical piles, making them effective in resisting lateral loads from winds, soil pressures, and impacts. Considerable prior research has been concerned with understanding the vertical pile response to tunnel excavation. However, the three-dimensional effects of tunnelling on adjacent battered piled foundations are still not investigated. This study investigates the response of a single battered pile to tunnelling at three critical depths along the pile: near the pile shaft (S), next to the pile (T), and below the pile toe (B). An advanced hypoplastic model capable of capturing small strain stiffness is used to simulate clay behaviour. The computed results reveal that settlement and load transfer mechanisms along the battered pile, resulting from tunnelling, depend significantly on the tunnel's location relative the length of the pile. The largest settlement of the battered pile occurs in the case of T. Conversely, the greatest pile head deflection is caused by tunnelling near the pile shaft. The battered pile experiences "dragload" due to negative skin friction mobilization resulting from tunnel excavation in the case of S. The battered pile is susceptible to induced bending moments when tunnelling occurs near the pile shaft S whereas the magnitude of induced bending moment is minimal in the case of B.

• 한국지진공학회논문집
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• 제12권3호
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• pp.11-20
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• 2008

본 연구에서는 저경도 고감쇠 고무받침 시험체의 다양한 특성실험을 통하여 저경도 고감쇠 고무받침의 특성을 파악하였다. 고무받침의 파악하고자 하는 특성은 압축강성, 전단강성, 등가감쇠비, 전단특성의 변형율 의존성, 전단특성의 면압 의존성, 전단특성의 주파수 의존성, 전단특성의 온도 의존성, 극한전단특성 등이다. 특성실험은 ISO 22762-1에 따라 수행하였으며, ISO 2276-3에 따라 평가하였다. 특성실험결과 전단강성은 전단변형율과 온도 의존성이 큰 것으로 나타났고, 등가감쇠비는 면압 의존성이 큰 것으로 나타났다. 전단특성의 주파수 의존성 실험결과 0.1Hz를 기준으로 경향이 나뉘는 것으로 나타났다. 0.1Hz 이상에서는 전단특성의 변화가 적었지만, 0.1Hz 이하에서는 전단강성과 등가감쇠비 모두 급격히 감소하는 것으로 나타났다. 추가적으로 크리프실험과 극한전단특성실험을 수행하였고, 실험결과는 ISO 22762-3의 요구사항을 만족하는 것으로 나타났다.

• 한국지반공학회논문집
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• 제24권8호
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• pp.125-135
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• 2008

모래 입자와 연약한 고무 입자로 이루어진 강-연성 혼합재의 응력-변형 및 전단파 특성을 평가하기 위해 고무와 모래의 부피비(sf)와 입자 크기비(sr)를 달리하는 시료를 조성하였다. 벤더 엘리먼트가 설치된 압밀셀을 이용하여 응력-변형시험 및 $K_o$ 상태에서의 미소변형 전단파 시험을 실시하였다. 일정한 입자 크기비를 가지는 강-연성 혼합재는 강성의 입자에서 연성의 입자로 거동이 전이되는 응력-변형 및 미소변형 전단파 특성을 보였다. 또한, $G_{max}=\;{\Lambda}({\sigma}'_{o}/kPa)^{\zeta}$ 관계에서 모래의 부피비(sf)가 $0.4{\sim}0.6$인 구간에서 $\Lambda$계수가 급격히 증가하며 $\zeta$ 지수는 최대값을 보이는 것으로 관찰되었다. 전이 혼합재는 구속응력의 변화에 매우 민감한 거동을 보이며 연성인 고무입자는 재하 하중에 의해 쉽게 변형되므로 최소 간극율을 가지는 강-연성 혼합재의 부피비는 재하된 응력의 크기에 좌우된다. 실내시험을 이용한 본 연구에서는 입자 크기 비와 모래 부피비가 강성 입자와 연성 입자의 혼합재료 거동을 결정하는 것으로 요인으로 분석되었다.

• Steel and Composite Structures
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• 제29권3호
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• pp.363-377
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• 2018

An efficient and free of shear locking finite element model is developed and employed to study free vibration of tapered bidirectional functionally graded material (BFGM) beams. The beam material is assumed to be formed from four distinct constituent materials whose volume fraction continuously varies along the longitudinal and thickness directions by power-law functions. The finite element formulation based on the first-order shear deformation theory is derived by using hierarchical functions to interpolate the displacement field. In order to improve efficiency and accuracy of the formulation, the shear strain is constrained to constant and the exact variation of the cross-sectional profile is employed to compute the element stiffness and mass matrices. A comprehensive parametric study is carried out to highlight the influence of the material distribution, the taper and aspect ratios as well as the boundary conditions on the vibration characteristics. Numerical investigation reveals that the proposed model is efficient, and it is capable to evaluate the natural frequencies of BFGM beams by using a small number of the elements. It is also shown that the effect of the taper ratio on the fundamental frequency of the BFGM beams is significantly influenced by the boundary conditions. The present results are of benefit to optimum design of tapered FGM beam structures.

• Composites Research
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• 제14권4호
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• pp.27-34
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• 2001

토탈 라그랑지안 방법과 변형율을 가정한 Hellinger-Reissner 원리에 기초한 유한요소법을 이용하여 패치로 보강된 구형 복합재료 쉘의 후좌굴 거동 및 진동 특성을 살펴보았다. 패치 요소는 따로 다른 유한요소를 사용하지 않고 쉘의 중앙면과 다른 기준점을 잡아 두께 변수를 택하여 정식화를 하였다. 비선형 해법으로 원통형 호-길이법을 적용하였고, 후 좌굴 진동은 미소 진폭을 갖는다고 가정하였다. 구형 쉘 패넬에서 패치가 비선형 거동 및 진동수에 미치는 영향을 고찰하였고, 그 결과 패치는 하중지지도를 개선시키킨다. 패치로 보강된 패널의 1차 고유진동수는 등가 패널에 비하여 낮으나, 하중을 받는 경우 1차 고유진동수는 급격히 감소하지 않았다.