• Coupled systems mechanics
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• v.9 no.3
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• pp.265-280
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• 2020

In this paper, a new refined hyperbolic shear deformation beam theory for the free vibration analysis of functionally graded beam is presented. The theory accounts for hyperbolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the functionally graded beam without using shear correction factors. In addition, the effect of different micromechanical models on the free vibration response of these beams is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG beams whose properties vary continuously across the thickness according to a simple power law. Based on the present theory, the equations of motion are derived from the Hamilton's principle. Navier type solution method was used to obtain frequencies, and the numerical results are compared with those available in the literature. A detailed parametric study is presented to show the effect of different micromechanical models on the free vibration response of a simply supported FG beams.

• Proceedings of the KSME Conference
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• 2008.11b
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• pp.2396-2400
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• 2008

The motion of small heavy particles in homogeneous isotropic turbulence in the present of gravity is investigated using Direct Numerical Simulations (DNS) at moderate Reynolds number. The Lagrangian velocity and acceleration statistics of particles and of flow for a wide range of Stokes number, defined as the ratio of the particle response time to Kolmogorov time scale of turbulence, were obtained for the direction of the gravity and normal direction, respectively. It is found that particles lose their correction faster than the case without gravity. Then, a significant increase in the average settling velocity was observed for a certain range of Stokes number. Our focus is placed on gravitational effect on very small particles. Our simulations show that as the Stokes number reduces to zero, their mean settling velocity approaches the terminal velocity in still fluid.

• Proceedings of the KIEE Conference
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• 2001.07d
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• pp.2234-2236
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• 2001

This paper describes an implementation of a radiocontrolled airplane attitude control. To obtain the model of motion, stabilizing and control coefficients, we derive the related paramaters from aerodynamics, propulsion, gravity, wind correction and atmosphere. In this model, after separating longitudinal axis and lateral axis, we can get longitudinal axis model and lateral axis model by using actuator and dynamic characteristics of engine. From these two models, we experiment two divided parts-linear part, and nonlinear part.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.8 no.9
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• pp.3177-3195
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• 2014

In many moving object detection problems of an aerial video, accurate and robust stabilization is of critical importance. In this paper, a novel accurate image alignment algorithm for aerial electronic image stabilization (EIS) is described. The feature points are first selected using optimal derivative filters based Harris detector, which can improve differentiation accuracy and obtain the precise coordinates of feature points. Then we choose the Delaunay Triangulation edges to find the matching pairs between feature points in overlapping images. The most "useful" matching points that belong to the background are used to find the global transformation parameters using the projective invariant. Finally, intentional motion of the camera is accumulated for correction by Sage-Husa adaptive filtering. Experiment results illustrate that the proposed algorithm is applied to the aerial captured video sequences with various dynamic scenes for performance demonstrations.

• Proceedings of the Korea Multimedia Society Conference
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• 2004.05a
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• pp.251-254
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• 2004

환자의 체동은 MRl에 의해 제공된 화질을 저하시키는 주된 원인이 되고 있다. 본 연구에서는 MRI에 있어서 3차원 강체운동에 기인한 아티팩트를 수정하는 기법을 제안한다. 이러한 목표를 달성하기위해 MR 화상 데이터를 얻기위한 2차원 다-슬라이스 기법(a multiple 2-D slice technique)이 사용되어왔다. 대상물체의 운동에 해당하는 수집된 MRI 데이터는 불균일 표본화와 위상오차에 의해 영향을 받게된다. 3차원 운동에 대해 주어진 운동 파라메타와 장면간의 영향이라는 가정하에 양선형보간법과 중첩법으로 다-슬라이스 데이터를 사용하는 방법에 기반한 재구성 알고리즘을 MRI 아티팩트를 수정하는데 사용한다. 미지의 체동 파라메타들을 추정하기위해 3차원 강체운동은 다-슬라이스 취득기법의 각 영상과 결합된 관심영역 바깥쪽에서의 측정된 에너지를 증가시킨다는 사실을 이용하는 최소에너지법을 적용한다.

• Journal of The Korean Astronomical Society
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• v.2 no.1
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• pp.1-9
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• 1969

On the instantaneous tidal relaxation approximation, formulae are derived for the ellipticities and virial theorem of a slightly flattened homogeneous rotating cluster (the largest axis of the cluster is directed towards the Galactic center), in terms of the Galactic tidal force and the characteristic intrinsic plus orbital angular velocity. The expression for a purely tidally-determined ellipticity is identical to that for an incompressible fluid body of uniform density. Orbital motion generally contributes significantly to the shape of the cluster. The virial theorem is identical to that for an isolated cluster except that the gravitational potential energy is multiplied by (1-${\chi}$), where ${\chi}$ is a positive tidal correction term. To obtain the actual mass of a cluster, the virial theorem mass based on an isolated cluster should be multiplied by the factor 1/(1-${\chi}$). The formulae are applied to open star clusters, the globular cluster ${\omega}$ Centauri, and dwarf elliptical galaxies in the Local Group.

• Advances in nano research
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• v.5 no.2
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• pp.113-126
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• 2017

This paper proposes a new nonlocal higher-order hyperbolic shear deformation beam theory (HSBT) for the static bending and vibration of nanoscale-beams. Eringen's nonlocal elasticity theory is incorporated, in order to capture small size effects. In the present model, the transverse shear stresses account for a hyperbolic distribution and satisfy the free-traction boundary conditions on the upper and bottom surfaces of the nanobeams without using shear correction factor. Employing Hamilton's principle, the nonlocal equations of motion are derived. The governing equations are solved analytically for the edges of the beam are simply supported, and the obtained results are compared, as possible, with the available solutions found in the literature. Furthermore, the influences of nonlocal coefficient, slenderness ratio on the static bending and dynamic responses of the nanobeam are examined.

• Earthquakes and Structures
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• v.17 no.1
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• pp.31-37
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• 2019

This work presents a free vibration analysis of functionally graded beams by employing an original high order shear deformation theory (HSDBT). This theory use only three unknowns, but it satisfies the stress free boundary conditions on the top and bottom surfaces of the beam without requiring any shear correction factors. The mechanical properties of the beam are assumed to vary continuously in the thickness direction by a simple power-law distribution in terms of the volume fractions of the constituents. In order to investigate the free vibration response, the equations of motion for the dynamic analysis are determined via the Hamilton's principle. The Navier solution technique is adopted to derive analytical solutions for simply supported beams. The accuracy and effectiveness of proposed model are verified by comparison with previous research.

• Earthquakes and Structures
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• v.17 no.3
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• pp.329-336
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• 2019

An efficient shear deformation beam theory is developed for thermo-elastic vibration of FGM beams. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the on the surfaces of the beam without using shear correction factors. The material properties of the FGM beam are assumed to be temperature dependent, and change gradually in the thickness direction. Three cases of temperature distribution in the form of uniformity, linearity, and nonlinearity are considered through the beam thickness. Based on the present refined beam theory, the equations of motion are derived from Hamilton's principle. The closed-form solutions of functionally graded beams are obtained using Navier solution. Numerical results are presented to investigate the effects of temperature distributions, material parameters, thermal moments and slenderness ratios on the natural frequencies. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

• Archives of Craniofacial Surgery
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• v.23 no.5
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• pp.232-236
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• 2022

Post-traumatic enophthalmos and hypoglobus are common sequelae of facial bone fractures, even after reduction surgery. They are associated with functional and esthetic issues, which may lower the quality of life. These deformities frequently present late, and adequate correction is difficult. We report three cases of late inferior orbital rim reconstructions with three-dimensional printed implants to help resolve these problems. The average duration between the traumatic event and surgery was 3 years and 4 months. One patient was treated with a completely absorbable implant and exhibited satisfactory results until the implant started to biodegrade at 1 year and 9 months after surgery. Two patients were treated with a permanent implant and demonstrated satisfactory results. However, longer follow-up periods were needed. There were no complications such as infection, diplopia, or restriction of ocular motion and the patients were satisfied with the esthetic results.