• Structural Engineering and Mechanics
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• 제84권5호
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• pp.685-697
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• 2022

Nanotechnology has become one of the interesting technique used in material science and engineering. However, it is low used in civil engineering structures. The purpose of the present study is to investigate the static behavior of concrete plates reinforced with silica-nanoparticles. Due to agglomeration effect of silica-nanoparticles in concrete, Voigt's model is used for obtaining the equivalent nano-composite properties. Furthermore, the plate is simulated mathematically with higher order shear deformation theory. For a large use of this study, the concrete plate is assumed resting on a Pasternak elastic foundation, including a shear layer, and Winkler spring interconnected with a Kerr foundation. Using the principle of virtual work, the equilibrium equations are derived and by the mean of Hamilton's principle the energy equations are obtained. Finally, based on Navier's technique, closed-form solutions of simply supported plates have been obtained. Numerical results are presented considering the effect of different parameters such as volume percent of SiO₂ nanoparticles, mechanical loads, geometrical parameters, soil medium, on the static behavior of the plate. The most findings of this work indicate that the use of an optimum amount of SiO₂ nanoparticles on concretes increases better mechanical behavior. In addition, the elastic foundation has a significant impact on the bending of concrete slabs.

• Steel and Composite Structures
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• 제45권3호
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• pp.437-454
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• 2022

Elliptic-braced simple resisting frame as a new lateral bracing system installed in the middle bay of frame in building facades has been recently introduced. This system not only creates a problem for opening space from the architectural viewpoint but also improves the structural behavior. Despite the researches on the seismic performance of lateral bracing systems, there are few studies performed on the effect of the stiffness parameters on the elastic story drift and calculation of period in simple braced steel frames. To overcome this shortcoming, in this paper, for the first time, an analytical solution is presented for calculating elastic lateral stiffness in a simple steel frame equipped with elliptic brace subjected to lateral load. In addition, for the first time, in this study, a precise formulation has been developed to evaluate the elastic stiffness variation in a steel frame equipped with a two-dimensional single-story single-span elliptic brace using strain energy and Castigliano's theorem. Thus, all the effective factors, including axial and shear loads as well as bending moments of elliptic brace could be considered. At the end of the analysis, the lateral stiffness can be calculated by an improved and innovative relation through the energy method based on the geometrical properties of the employed sections and specification of the used material. Also, an equivalent element of an elliptic brace was presented for the ease of modeling and use in linear designs. Application of the proposed relation have been verified through a variety of examples in OpenSees software. Based on the results, the error percentage between the elastic stiffness derived from the developed equations and the numerical analyses of finite element models was very low and negligible.

• Advances in aircraft and spacecraft science
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• 제10권1호
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• pp.51-65
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• 2023

In this paper, the effect of deepness on in-plane free vibration behavior of a curved functionally graded (FG) nanobeam based on nonlocal elasticity theory has been investigated. Differential equations and boundary conditions have been developed based on Hamilton's principle. In order to figure out the size effect, nonlocal theory has been adopted. Properties of material vary in radial direction. By using Navier solution technique, the amount of natural frequencies has been obtained. Also, to take into account the deepness effect on vibrations, thickness to radius ratio has been considered. Differences percentage between results of cases in which deepness effect is included and excluded are obtained and influences of power-law exponent, nonlocal parameter and arc angle on these differences percentage are studied. Results show that arc angle and power law exponent parameters have the most influences on the amount of the differences percentage due to deepness effect. It has been observed that the inclusion of geometrical deep term and material distribution results in an increase in sensitivity of dimensionless natural frequency about variation of aforementioned parameters and a change in variation range of natural frequency. Finally, several numerical results of deep and shallow curved functionally graded nanobeams with different geometry dimensions are presented, which may serve as benchmark solutions for the future research in this field.

• Structural Engineering and Mechanics
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• 제86권4호
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• pp.443-459
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• 2023

This study investigates the theoretical thermal buckling analyses of thick porous rectangular functionally graded (FG) plates with different geometrical boundary conditions resting on a Winkler-Pasternak elastic foundation using a new higher-order shear deformation theory (HSDT). This new theory has only four unknowns and involves indeterminate integral variables in which no shear correction factor is required. The variation of material properties across the plate's thickness is considered continuous and varied following a simple power law as a function of volume fractions of the constituents. The effect of porosity with two different types of distribution is also included. The current formulation considers the Von Karman nonlinearity, and the stability equations are developed using the virtual works principle. The thermal gradients are involved and assumed to change across the FG plate's thickness according to nonlinear, linear, and uniform distributions. The accuracy of the newly proposed theory has been validated by comparing the present results with the results obtained from the previously published theories. The effects of porosity, boundary conditions, foundation parameters, power index, plate aspect ratio, and side-to-thickness ratio on the critical buckling temperature are studied and discussed in detail.

• Steel and Composite Structures
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• 제42권5호
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• pp.633-647
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• 2022

This paper presents the results from reliability analyses of the current Eurocode 4 (EN 1994-1-1) and AISC 360-16 design models for predicting the resistance of headed stud shear connectors within profiled steel sheeting, when the ribs are oriented transverse to the supporting beam. For comparison purposes, the performance of the alternative "Luxembourg" and "Stuttgart" model were also considered. From an initial database of 611 push-out tests, 269 cases were included in the study, which ensured that the results were valid over a wide range of geometrical and material properties. It was found that the current EN 1994-1-1 design rules deliver a corrected partial safety factor γ_M^* of around 2.0, which is significantly higher than the target value 1.25. Moreover, 179 tests fell within the domain of the concrete-related failure design equation. Notwithstanding this, the EN 1994-1-1 equations provide satisfactory results for re-entrant profiled sheeting. The AISC 360-16 design equation for steel failure covers 263 of the tests in the database and delivers 𝛾_M^*≈2.0. Conversely, whilst the alternative "Stuttgart" model provides an improvement over the current codes, only a corrected partial safety factor of 𝛾_M^*=1.47 is achieved. Finally, the alternative "Luxembourg" design model was found to deliver the required target value, with a corrected partial safety factor 𝛾_M^* between 1.21 and 1.28. Given the fact that the Luxembourg design model is the only model that achieved the target values required by EN 1990, it is recommended as a potential candidate for inclusion within the second generation of Eurocodes.

• Steel and Composite Structures
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• 제47권5호
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• pp.551-568
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• 2023

In this research, a new two-dimensional (2D) and quasi three-dimensional (quasi-3D) higher order shear deformation theory is devised to address the bending problem of functionally graded plates resting on an elastic foundation. The displacement field of the suggested theories takes into account a parabolic transverse shear deformation shape function and satisfies shear stress free boundary conditions on the plate surfaces. It is expressed as a combination of trigonometric and exponential shear shape functions. The Pasternak mathematical model is considered for the elastic foundation. The material properties vary constantly across the FG plate thickness using different distributions as power-law, exponential and Mori-Tanaka model. By using the virtual works principle and Navier's technique, the governing equations of FG plates exposed to sinusoidal and evenly distributed loads are developed. The effects of material composition, geometrical parameters, stretching effect and foundation parameters on deflection, axial displacements and stresses are discussed in detail in this work. The obtained results are compared with those reported in earlier works to show the precision and simplicity of the current formulations. A very good agreement is found between the predicted results and the available solutions of other higher order theories. Future mechanical analyses of three-dimensionally FG plate structures can use the study's findings as benchmarks.

• Structural Engineering and Mechanics
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• 제91권1호
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• pp.1-23
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• 2024

This paper formulates a new integral shear deformation shell theory to investigate the free vibration response of carbon nanotube (CNT) reinforced structures with only four independent variables, unlike existing shell theories, which invariably and implicitly induce a host of unknowns. This approach guarantees traction-free boundary conditions without shear correction factors, using a non-polynomial hyperbolic warping function for transverse shear deformation and stress. By introducing undetermined integral terms, it will be possible to derive the motion equations with a low order of differentiation, which can facilitate a closed-form solution in conjunction with Navier's procedure. The mechanical properties of the CNT reinforcements are modeled to vary smoothly and gradually through the thickness coordinate, exhibiting different distribution patterns. A comparison study is performed to prove the efficacy of the formulated shell theory via obtained results from existing literature. Further numerical investigations are current and comprehensive in detailing the effects of CNT distribution patterns, volume fractions, and geometrical configurations on the fundamental frequencies of CNT-reinforced nanocomposite shells present here. The current shell theory is assumed to serve as a potent conceptual framework for designing reinforced structures and assessing their mechanical behavior.

• 대한방사선치료학회지
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• 제16권1호
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• pp.1-9
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• 2004

목적 : 본 연구의 목적은 소조사면의 선량특성을 측정하며 콜리메이터의 위치에 따른 반음영의 변화와 중심선량의 분포양상을 측정하며 측외측정선량점의 변화에 따른 선량분포의 특성을 측정하여 최근 대두되고 있는 소조사면 방사선치료에 유용한 정보를 제공하는데 그 목적이 있다. 대상 및 방법 : 지멘스의 Primart 선형가속기의 6MV에너지를 이용하였으며 측정은 Farmer chamber와 Pinpoint chamber를 이용하여 심부선량율과 beam profile, 중심출력선량의 변화를 측정하였다. 중심선속의 변화에 따른 에너지의 특성과 반음영의 변화를 외측으로 2cm 간격으로 측정하였다. 측정은 $1{\times}1cm,\;3{\times}3cm,\;5{\times}5cm,\;10{\times}10cm$에서 측정하였으며 결과는 표준조건하의 측정값과 비교, 분석하였다. 결과 : Farmer chamber와 Pinpoint chamber를 이용해 $1{\times}1cm$, 10cm깊이에서 측정한 결과 두 측정기간에 소조사면에서는 $30\%$ 이상의 차이를 보였으며 조사면의 크기가 증가함에 따라 두 측정기간의 차이는 급격히 감소했다. 측외측정점의 변화에 따른 선량분포는 큰 차이가 없었으나 조사야의 크기가 감소함에 따라 $1{\times}1cm$에서는 약 $13\%$의 차이를 보여 조사야 크기에 따른 변화가 큰 것으로 측정되었다. 전체조사면에서 반음영이 차지하는 비율도 조사면이 적어짐에 따라 높게 나타났으며 $1{\times}1cm$의 조사면에서는 약 $50\%$가 반음영이 점유하는 것으로 측정되었다. 결론 : 세기조절방사선 치료를 위해서는 각기 다른 에너지 분포를 갖는 여러 각도에서 다수의 조사면를 필요로 하며 여러 복잡한 인자들이 관여하게 된다. 여러 인자들 중에서도 콜리메이터의 형태 및 위치에 따른 출력선량의 변화 양상을 정확히 측정하는 것은 매우 중요하다. 실험결과에서도 알 수 있듯이 측정깊이와 조사면의 크기 및 측정기의 종류에 따른 측정값의 변화가 매우 크게 나타나므로 양질의 세기조절방사선 치료를 제공하기 위해서는 특히 소조사면의 선량분포에 대한 특성을 정확히 측정하는 것이 매우 중요하다.

• 지질공학
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• 제15권3호
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• pp.257-268
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• 2005

일반적으로 현지 암반은 강도의 변화가 심 한 다양한 불연속면들을 포함하여 불균질하고 불연속성 을 나타낸다. 절리, 단층, 균열, 층리와 같은 불연속면들은 암반의 강도와 변형특성을 좌우하는 중요한 요인이다. 결과적으로, 지하공동의 안정성은 무결암의 역학적 특성뿐만 아니 라, 공동의 기하학적 형상과 관련하여 불연속면들의 공간적 분포와 역학적 특성에 크게 영 향을 받는다. 따라서 지하심부의 응력 조건에서의 공동설계를 위해서는 불연속 암반의 거동에 대한 정확한 이해가 필수적이다. 암반역 학 분야의 발전에 의하여 등방성 암반에서 의지 하공동 설계를 위한 기준이 제시되고 있으나, 불연속성 암반의 변형 거동은 불명확성 이 여전히 존재한다. 본 연구에서는 연속체절 리모델을 적용하여 불연속성 암반내의 지하공동 주변의 소성영역의 크기, 응력분포 및 변형거동에 대하여 매개변수의 변화에 따른 영향을 고찰하였다. Mohr-Coulomb 파괴 이론에 의한 탄소성 유한차분법을 적용하였으며, 비조합 유동법칙과 완전소성 물질거 동을 가정하였다.

• 대한전자공학회논문지SP
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• 제46권1호
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• pp.56-62
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• 2009

산업용 강판튜브 CR영상의 잡음특성과 기하학적 구조에 관한 해석적 접근을 시도한다. 산업현장에서 방사선 측정실험으로 직접 취득한 방사선영상을 방사선강도에 따라 30(개) 이상의 샘플을 수집하였다. 이들 각 영상은 배경부, 두께부 및 튜브내부의 세 영역으로 구성되었는바, 그 가운데 튜브내부영역을 분석 대상으로 삼았다. 통계적이고 함수적인 방법론에 의해 잡음특성을 포함한 기하학적 구조를 분석한다. 영상을 구성하는 화소라인별로 또는 공간적으로 분석을 수행하여 강판튜브의 기하학적 원형 형태가 방사선영상화 과정을 거치면서 일어나는 변형과 잡음속성 변화의 두 가지 특성을 규명한다. 분석시 부합함수와 그 오차를 기하학적 변형의 판별인자로, 표준편차, 평균 및 SN비를 잡음특성 판별인자로 설정하고 방사선투과정도의 영상에서의 실현인 회색도 변화에 따른 이들 인자들의 변화를 고찰하였다. 분석결과, 본래의 원형 구조가 방사선투과 강도에 따라 타원형에서 저반경 원형 그리고 고반경원형의 점차적인 구조 변형을 일으킨다는 사실을 밝혔고, 잡음의 편차가 투과강도에 반비례함을 규명하였다.