• 전산구조공학
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• 제8권4호
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• pp.87-97
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• 1995

2차원 유한요소 모델의 동일한 형상과 하중 조건에 있어서 6절점 요소의 굽힘 강성은 8절점 요소의 굽힘 강성보다 더 크게 나타난다. 이와 같은 현상은 3차원 16절점 요소와 20절점 요소에서도 나타나며, 완전 요소의 중간 절점들을 제거하므로 인하여 나타난다. 따라서 이 현상을 상대적 강성강화 현상이라 할 수 있다. 강성강화 현상을 보정하기 위한 매우 효과적인 방법으로 가우스 적분점 수정법을 도출하였으며, 이 방법은 확장적인 강성과 같이 다른 종류의 강성을 변화시키지 않으며, 또한 패취시험을 통과하였다. 적분점 수정량은 재료의 포아송비의 함수로 나타나며, 2차원 평면응력 상태와 평면변형율 상태에 대한 두개의 수정식을 구하였고, 또한 3차원 고체요소에 대하여 확장하였다. 가우스 적분점 수정법의 효과를 검증하기 위하여 보와 판의 자유 및 강제운동 문제를 해석하였으며, 등방성 적층 보와 판에 대해서도 단층보와 단층판과 같은 방법으로 적용하여 그 효율성을 입증하였다.

• Journal of Astronomy and Space Sciences
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• 제22권4호
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• pp.463-472
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• 2005

본 논문에서는 행성탐사선의 항행해 결정을 위한 동역학 모델을 개발에 대한 내용을 다뤘다. 탐사선이 우주공간을 항행할 때 받는 섭동력으로써, 지구의 비대칭 중력장, 지구의 극축운동, 태양과 달이외의 태양계 행성에 의한 중력, 태양의 의한 상대성효과, 태양복사압 그리고 지구 대기저항에 대한 동역학 모델을 구성하여, 특수섭동론인 코웰 방법에 의거한 탐사선의 궤적 전파기를 개발하였다. 힘 또는 가속도 항으로 표현되는 탐사선의 운동방정식은 아담스 코웰 11차 예측자-수정자 방법에 의해 수치 적분된다. 구성된 전파기를 이용하여 2003년 발사된 화성탐사선인 Mars Express의 실제 임무설계에 사용된 초기궤적요소를 기준으로 임무 궤적을 산출하여 각 섭동력의 영향을 비교해 보았다 이러한 비교는 항행해 결정 시스템의 구성 시 요구 정밀도에 따라 고려해야할 섭동력의 기준을 제시해 주기 때문이다. 또한, 개발된 동역학 모델의 성능시험을 위해 극성 최소 근접거리에서의 위치와 속도를 계산하여 화성 도착여부를 판단하였다. 모의실험을 통해 탐사선의 위치가 화성 작용권구 내에 도달하며 상대속도가 화성에 대한 탈출속도 미만이므로 화성에 포획됨을 확인하였으며, STK(Satellite Tool Kit)를 이용해 산출된 결과와 비교함으로써 본 연구결과가 행성탐사 임무지원에 적합함을 검증하였다.

• Geomechanics and Engineering
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• 제29권2호
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• pp.113-131
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• 2022

A rockburst is a common disaster in deep-tunnel excavation engineering, especially for high-geostress areas. An anomalously low friction effect is one of the most important inducements of rockbursts. To elucidate the correlation between an anomalously low friction effect and a rockburst, we establish a two-dimensional prediction model that considers the discontinuous structure of a rock mass. The degree of freedom of the rotation angle is introduced, thus the motion equations of the blocks under the influence of a transient disturbing force are acquired according to the interactions of the blocks. Based on the two-dimensional discontinuous block model of deep rock mass, a rockburst prediction model is established, and the initiation process of ultra-low friction rockburst is analyzed. In addition, the intensity of a rockburst, including the location, depth, area, and velocity of ejection fragments, can be determined quantitatively using the proposed prediction model. Then, through a specific example, the effects of geomechanical parameters such as the different principal stress ratios, the material properties, a dip of principal stress on the occurrence form and range of rockburst are analyzed. The results indicate that under dynamic disturbance, stress variation on the structural surface in a deep rock mass may directly give rise to a rockburst. The formation of rockburst is characterized by three stages: the appearance of cracks that result from the tension or compression failure of the deformation block, the transformation of strain energy of rock blocks to kinetic energy, and the ejection of some of the free blocks from the surrounding rock mass. Finally, the two-dimensional rockburst prediction model is applied to the construction drainage tunnel project of Jinping II hydropower station. Through the comparison with the field measured rockburst data and UDEC simulation results, it shows that the model in this paper is in good agreement with the actual working conditions, which verifies the accuracy of the model in this paper.

• Geomechanics and Engineering
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• 제22권2호
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• pp.119-132
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• 2020

In this study a new innovative three unknowns trigonometric shear deformation theory is proposed for the buckling and vibration responses of exponentially graded sandwich plates resting on elastic mediums under various boundary conditions. The key feature of this theoretical formulation is that, in addition to considering shear deformation effect, it has only three unknowns in the displacement field as in the case of the classical plate theory (CPT), contrary to five as in the first shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT). Material characteristics of the sandwich plate faces are considered to vary within the thickness direction via an exponential law distribution as a function of the volume fractions of the constituents. Equations of motion are obtained by employing Hamilton's principle. Numerical results for buckling and free vibration analysis of exponentially graded sandwich plates under various boundary conditions are obtained and discussed. Verification studies confirmed that the present three -unknown shear deformation theory is comparable with higher-order shear deformation theories which contain a greater number of unknowns.

• Steel and Composite Structures
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• 제29권3호
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• pp.405-422
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• 2018

In this research, experimental tensile test and manufacturing of carbon nanotube reinforced composite beam (CNTRC) is presented. Also, bending, buckling, and vibration analysis of CNTRC based on various beam theories such as Euler-Bernoulli, Timoshenko and Reddy beams are considered. At first, the experimental tensile tests are carried out for CNTRC and composite beams in order to obtain mechanical properties and then using Hamilton's principle the governing equations of motion are derived for Euler Bernoulli, Timoshenko and Reddy theories. The results have a good agreement with the obtained results by similar researches and it is shown that adding just two percent of carbon nanotubes increases dimensionless fundamental frequency and critical buckling load as well as decreases transverse deflection of composite beams. Also, the influences of different manufacturing processes such as hand layup and industrial methods using vacuum pump on composite properties are investigated. In these composite beams, glass fibers used in an epoxy matrix and for producing CNTRC, CNTs are applied as reinforcement particles. Applying two percent of CNTs leads to increase the mechanical properties and increases natural frequencies and critical buckling load and decreases deflection. The obtained natural frequencies and critical buckling load by theoretical method are higher than other methods, because there are some inevitable errors in industrial and hand layup method. Also, the minimum deflection occurs for theoretical methods, in bending analysis. In this study, Young's and shear modulli as well as density are obtained by experimental test and have not been used from the results of other researches. Then the theoretical analysis such as bending, buckling and vibration are considered by using the obtained mechanical properties of this research.

• Structural Engineering and Mechanics
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• 제66권3호
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• pp.353-368
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• 2018

In this work, a high order hyperbolic shear deformation theory with four variables is presented to study the vibratory behavior of functionally graduated plates. The field of displacement of the theory used in this work is introduced indeterminate integral variables. In addition, the effect of porosity is studied. It is assumed that the material characteristics of the porous FGM plate, varies continuously in the direction of thickness as a function of the power law model in terms of volume fractions of constituents taken into account the homogeneous distribution of porosity. The equations of motion are obtained using the principle of virtual work. An analytical solution of the Navier type for free vibration analysis is obtained for a FGM plate for simply supported boundary conditions. A comparison of the results obtained with those of the literature is made to verify the accuracy and efficiency of the present theory. It can be concluded from his results that the current theory is not only accurate but also simple for the presentation of the response of free vibration and the effect of porosity on the latter.

• Advances in concrete construction
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• 제14권3호
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• pp.169-183
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• 2022

In this article, vibrational behavior and wave propagation characteristics in (FG) functionally graded plates resting on Kerr foundation with three parameters is studied using a 2D dimensional (HSDT) higher shear deformation theory. The new 2D higher shear deformation theory has only four variables in field's displacement, which means has few numbers of unknowns compared with others theories. The shape function used in this theory satisfies the nullity conditions of the shear stresses on the two surfaces of the FG plate without using shear correction factors. The FG plates are considered to rest on the Kerr layer, which is interconnected with a Pasternak-Kerr shear layer. The FG plate is materially inhomogeneous. The material properties are supposed to vary smoothly according to the thickness of the plate by a Voigt's power mixing law of the volume fraction. The equations of motion due to the dynamics of the plate resting on a three-parameter foundation are derived using the principle of minimization of energies; which are then solved analytically by the Navier technique to find the vibratory characteristics of a simply supported plate, and the wave propagation results are derived by using the dispersion relations. Perceivable numerical results are fulfilled to evaluate the vibratory and the wave propagation characteristics in functionally graded plates and some parameters such wave number, thickness ratio, power index and foundation parameters are discussed in detail.

• Steel and Composite Structures
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• 제20권5호
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• pp.1023-1042
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• 2016

Based on Hamilton's principle, the flexural vibration differential equations and boundary conditions of the steel-concrete composite beam (SCCB) with comprehensive consideration of the influences of the shear deformation, interface slip and longitudinal inertia of motion were derived. The analytical natural frequencies of flexural vibration were compared with available results previously observed by the experiments, the results calculated by the FE model and the other similar beam theories available in the open literatures. The comparison results showed that, the calculation results of the analytical and Timoshenko models had a good agreement with the results of the experimental test and FE model. Finally, the influences of shear deformation and interface slip on the flexural natural frequencies of the SCCB were discussed. The shear deformation effect increases with the increase of the mode orders of flexural natural vibration, and the flexural natural frequencies of the higher mode orders ignoring the influence of shear deformations effect would be overestimated. The interface slip effect decrease with the increase of the mode orders of flexural natural vibration, and the influence of the interface slip effect on flexural natural frequencies of the low mode orders is significant. The influence of the degree of shear connection on shear deformation effect is insignificant, and the low order modes of flexural natural vibration are mainly composed of the rotational displacement of cross sections.

• Steel and Composite Structures
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• 제45권1호
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• pp.67-82
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• 2022

In this paper, buckling and free vibration of imperfect, functionally graded beams, including porosities, are investigated, using a higher order shear strain theory. Due to defects during the manufacturing process, micro porosities may appear in the material, hence the appearance of this imperfection in the structure. The material properties of the beams are assumed to vary regularly, with power and sigmoid law, in the direction of thickness. A novel porosity distribution affecting the functionally graded volume fraction is presented. For the compact formulation used for cementite-based materials and already used in P-FGM, we have adapted it for the distribution of S-FGM. The equations of motion in the FG beam are derived using Hamilton's principle. The boundary conditions for beam FG are assumed to be simply supported. Navier's solution is used to obtain the closed form solutions of the FG beam. The numerical results of this work are compared with those of other published research to verify accuracy and reliability. The comparisons of different shear shape functions, the influence of porosity, thickness and inhomogeneity parameters on buckling and free vibration of the FG beam are all discussed. It is established that the present work is more precise than certain theories developed previously.

• 대한기계학회논문집
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• 제9권5호
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• pp.606-612
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• 1985

본 논문에서는 전보의 연속으로서 말단질량이 부착된 기둥의 자유단에 압축 종동력이 작용하는 비보존적 탄성계의 불완전 고정단에 나타나는 스프링 특성의 영향 을 연구하였다. 고정단은 병진스프링과 회전스프링으로 구속되었고, 이들 스프링 상 수의 여러 값이 말단질량과 연성(coupling)되어 기둥의 안정성에 미치는 영향을 연구 하였다. 기둥의 전단변형과 회전관성의 영향을 고려하였으며, Hamilton's principle 로서 계의 운동방정식과 경계조건의 식을 유도하여 수치해석하였다.