• Structural Engineering and Mechanics
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• 제17권1호
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• pp.113-140
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• 2004

A mixed eight-node hexahedral element formulated via the Hu-Washizu principle as well as the field extrapolation technique is presented. The mixed element with only three translational degrees of freedom at each node can provide extremely accurate and reliable performance for popular benchmark problems such as spacial beams, plates, shells as well as general three-dimensional elasticity problems. Numerical calculations also show that when extremely skewed and coarse meshes and nearly incompressible materials are used, the proposed mixed element can still possess excellent behaviour. The mixed formulation starts with introduction of a parallelepiped domain associated with the given general eight-node hexahedral element. Then, the assumed strain field at the nodal level is constructed via the Hu-Washizu variational principle for that associated parallelepiped domain. Finally, the assumed strain field at the nodal level of the given hexahedral element is established by using the field extrapolation technique, and then by using the trilinear shape functions the assumed strain field of the whole element domain is obtained. All matrices involved in establishing the element stiffness matrix can be evaluated analytically and expressed explicitly; however, a 24 by 24 matrix has to be inverted to construct the displacement extrapolation matrix. The proposed hexahedral element satisfies the patch test as long as the element with a shape of parallelepiped.

• Smart Structures and Systems
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• 제31권5호
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• pp.517-529
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• 2023

Using a device composed of two lateral pressure plates (LPPs) and a steel reinforcement bar to apply horizontal pressure on slope surfaces, a newly developed prestress-reinforced embankment (PRE) is proposed, to which can be adopted in strengthening railway subgrades. In this study, an analytical model, which is available of calculating additional confining stress (σ_H) at any point in a PRE, was established based on the theory of elasticity. In addition, to verify the proposed analytical model, three dimensional (3D) finite element analyses were conducted and the feasibility in application was also identified and discussed. In order to study the performance of the PRE, the propagation of σ_H in a PRE was analyzed and discussed based on the analytical model. For the aim of convenience in application, calculation charts were developed in terms of three dimensionless parameters, and they can be used to accurately and efficiently predict the σ_H in a PRE regardless of the embankment slope ratio and LPP side length ratio. Finally, the potential applications of the proposed analytical model were discussed.

• 해양환경안전학회지
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• 제25권4호
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• pp.468-475
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• 2019

엔드라인 폭연방지기는 수직 환기장치에 폭연방지와 함께 대기방출을 하도록 한다. 엔드라인 폭연방지장치는 선박과 같은 산업현장의 다양한 분야에 적용된다. 폭연방지기에서 스프링은 스프링 부하와 스프링의 탄성이 후드 개방 모멘트를 결정하므로 필수 부품이다. 더욱이, 장치 내 스프링은 고온의 상태에서도 작동해야 한다. 따라서, 폭연이 나타나기 시작할 때 스프링의 기계적 하중과 탄성을 분석할 필요가 있다. 이 연구에서는 엔드라인 폭연방지기의 작동 프로세스의 시뮬레이션을 기반으로 열 및 구조해석을 수행하으며, 스프링의 3차원 모델은 CFD 시뮬레이션을 이용하였다. CFD 해석은 FEM 시뮬레이션 값을 입력하여 스프링 구조를 분석한다. 본 연구에서는 스프링 부하의 43 kg, 93 kg 및 56 kg 세 가지 경우 즉, 150 mm 스프링 디플렉션에 부합하도록 집중적으로 관찰하였다. 결과적으로, $1,000^{\circ}C$ 가열조건 하에서 5분 후에 스프링 부하가 10 kg 감소했다. 시뮬레이션 결과는 연소 시간 변화에 따라 스프링의 부하와 탄성을 예측하고 추정할 수 있었다. 또한, 연구의 결과는 폭연방지기의 제조자들에게 역화방지장치뿐만 아니라 스프링의 설계를 최적화하기 위한 참고 자료로 활용할 수 있다.

• 한국전산구조공학회논문집
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• 제16권2호
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• pp.197-206
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• 2003

임의의 경계조건과 변두께를 갖는 축대칭 반구형 쉘과 반구형체의 진동수와 모우드형상을 결정하는 3차원적 해석법이 소개되었다. 수학적으로 2차원적인 전통적인 쉘이론과는 달리 본 연구의 해석법은 3차원 동적 탄성방정식을 사용하였다 자오선방향 (Φ), 법선방향(z), 원주방향(θ)으로의 변위성분인 μ/sub Φ/, μ/sub z/, μ/sub θ/는 시간에 대해서는 정현적으로, θ에 대해서는 주기적으로, 와 z 방향에 대해서는 대수다항식으로 표현될 수 있다. 축대칭 반구형 쉘의 변형률 에너지와 운동 에너지를 정식화하고, 리츠법으로 고유치문제를 계산하였다. 진동수의 최소화과정을 통해 엄밀해의 상위 경계치 진동수를 구하였으며, 이 때, 다항식의 차수를 증가시키면 진동수는 엄밀해에 수렴하게 된다. 자오선방향으로 선형적으로 꿩 두께가 변하는 반구형 쉘과 반구형체치 3차원적 진동수를 최초로 계산하였으며, 축방향으로 난 조그만 원추형 구멍이 진동수에 미치는 영향도 분석하였다. 상두께와 자유경계조건을 갖는 두꺼운 축대칭 반구형 쉘에 대한 3차원적 리츠해와 3차원적 유한요소법에 의한 진동수를 서로 비교하였다.

• 한국전산구조공학회논문집
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• 제16권3호
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• pp.251-260
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• 2003

원형단면의 깊은 테이퍼봉과 보의 진동수와 모드형상을 결정하는 3차원 해석방법이 제시되었다. 수학적으로 1차원인 전통적인 봉과 보이론과는 달리, 본 연구에서는 3차원 동탄성방정식을 근간으로 하였다. 반경방향(r), 원주방향(θ), 축방향(z)으로의 변위성분인 u/sup r/, u/sub θ/, u/sub z/를 시간에 대해서는 정현적으로, θ에 대해서는 주기적으로, r과 z방향으로는 다수다항식의 형태로 표현하였다. 봉과 보의 위치(변형률)에너지와 운동에너지를 정식화하고, 고유치문제를 해결하기 위해 Ritz법을 사용하였으며, 진동수의 최소화과정을 통해 엄밀해의 상위경계치의 진동수를 구하였다. 이때 다항식의 차수를 증가시키면 진동수는 엄밀해에 수렴하게 된다. 봉과 보의 하위 5개의 진동수에 대해서 유효숫자 4자리까지의 수렴성 연구가 이루어졌다. 축방향으로 1차 직선적, 2차 및 3차 곡선으로 테이퍼된 9가지 형상의 봉과 보의 수치결과를 3차원 이론을 이용하여 최초로 계산하였다. 또한 선형 테이퍼 보의 예를 통해 3차원 Ritz법과 고전적인 1차원 Euler-Bernoulli 보이론과의 비교가 이루어졌다.

• 한국전산구조공학회논문집
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• 제17권2호
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• pp.119-129
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• 2004

3차원 해석법을 이용하여 반경방향으로 비선형적 두께 변분을 가진 두꺼운 원형판과 환형판의 고유진동수를 결정하였다. 수학적으로 2차원적인 전통적 판 이론과는 달리 본 연구에서는 3차원적 등 탄성방정식을 근간으로 하였다. 반경방향, 두께방향, 원주방향으로의 변위 성분인 u/sub s/, u/sub z/, u/sub θ/를 시간에 대해서는 정현적으로, θ에 대해서는 주기적으로, s와 z방향으로는 대수 다항식의 형태로 취하였다. 판의 위치(변형률) 에너지와 운동 에너지를 정식화하고, 리츠법을 이용하여 고유치 문제를 해결하였으며, 진동수의 최소화과정을 통해 엄밀해에 대해서 상위경계치의 진동수를 구하였다. 다항식의 차수를 증가시키면 진동수는 엄밀해에 수렴하게 된다. 판의 최하위 5개의 진동수에 대한 유효숫자 4자리까지의 수렴성 연구가 이루어졌다. 수치결과로 두께가 일정하거나, 선형적 또는 2차 곡선적 변분을 갖는 자유경계의 두꺼운 원형판과 환형판의 무차원 진동수를 제공하였다. 또한 이미 발표된 2차원적인 박판이론에 의한 결과와 본 연구의 3차원 해석에 의한 결과를 서로 비교하였다.

• Korean Journal of Radiology
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• 제20권6호
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• pp.880-893
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• 2019

Objective: To assess the technical performance of two-dimensional shear wave elastography (2D-SWE) for measuring liver stiffness. Materials and Methods: The Ovid-MEDLINE and EMBASE databases were searched for studies reporting the technical performance of 2D-SWE, including concerns with technical failures, unreliable measurements, interobserver reliability, and/or intraobserver reliability, published until June 30, 2018. The pooled proportion of technical failure and unreliable measurements was calculated using meta-analytic pooling via the random-effects model and inverse variance method for calculating weights. Subgroup analyses were performed to explore potential causes of heterogeneity. The pooled intraclass correlation coefficients (ICCs) for interobserver and intraobserver reliability were calculated using the Hedges-Olkin method with Fisher's Z transformation of the correlation coefficient. Results: The search yielded 34 articles. From 20 2D-SWE studies including 6196 patients, the pooled proportion of technical failure was 2.3% (95% confidence interval [CI], 1.3-3.9%). The pooled proportion of unreliable measurements from 20 studies including 6961 patients was 7.5% (95% CI, 4.7-11.7%). In the subgroup analyses, studies conducting more than three measurements showed fewer unreliable measurements than did those with three measurements or less, but no intergroup difference was found in technical failure. The pooled ICCs for interobserver reliability (from 10 studies including 517 patients) and intraobserver reliability (from 7 studies including 679 patients) were 0.87 (95% CI, 0.82-0.90) and 0.93 (95% CI, 0.89-0.95), respectively, suggesting good to excellent reliability. Conclusion: 2D-SWE shows good technical performance for assessing liver stiffness, with high technical success and reliability. Future studies should establish the quality criteria and optimal number of measurements.

• Smart Structures and Systems
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• 제19권2호
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• pp.163-179
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• 2017

The axisymmetric buckling delamination of the Piezoelectric/Metal/Piezoelectric (PZT/Metal/PZT) sandwich circular plate with interface penny-shaped cracks is investigated. The case is considered where open-circuit conditions with respect to the electrical displacement on the upper and lower surfaces, and short-circuit conditions with respect to the electrical potential on the lateral surface of the face layers are satisfied. It is assumed that the edge surfaces of the cracks have an infinitesimal rotationally symmetric initial imperfection and the development of this imperfection with rotationally symmetric compressive forces acting on the lateral surface of the plate is studied by employing the exact geometrically non-linear field equations and relations of electro-elasticity for piezoelectric materials. The sought values are presented in the power series form with respect to the small parameter which characterizes the degree of the initial imperfection. The zeroth and first approximations are used for investigation of stability loss and buckling delamination problems. It is established that the equations and relations related to the first approximation coincide with the corresponding ones of the three-dimensional linearized theory of stability of electro-elasticity for piezoelectric materials. The quantities related to the zeroth approximation are determined analytically, however the quantities related to the first approximation are determined numerically by employing Finite Element Method (FEM). Numerical results on the critical radial stresses acting in the layers of the plate are presented and discussed. In particular, it is established that the piezoelectricity of the face layer material causes an increase (a decrease) in the values of the critical compressive stress acting in the face (core) layer.

• Medical Lasers
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• 제10권3호
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• pp.161-169
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• 2021

Background and Objectives Fractional microneedle radiofrequency systems are popular options to increase elasticity in aging skin. Laser-assisted drug delivery is a promising method for the epidermal injection of topically applied drugs and cosmetic ingredients. This study assesses the safety and efficacy of topical delivery of L-ascorbic acid, vitamin E, and ferulic acid after fractional microneedle radiofrequency treatment for reducing photodamage. Materials and Methods In this prospective, single-center, split-face, controlled pilot study, six women (mean age, 48.0 years; range, 35-57 years; Fitzpatrick skin types III and IV) exhibiting mild to moderate photodamage, underwent a single session of fractional microneedle radiofrequency treatment. The patients were instructed to apply the antioxidant formulation to only one side of the face. Patients were evaluated 3 days, 7 days, and 4 weeks thereafter, using three-dimensional imaging and ultrasound. Ex vivo, the full-thickness human skin was used for molecular and histological evaluation. Statistical analysis was achieved by applying t-tests, Mann-Whitney U tests, and one-way analyses of variance. Results Compared to the untreated side, the antioxidant-treated side exhibited a significant increase in dermal thickness (10.32% vs. 17.54%, p < 0.05), but not in skin elasticity (4.76% vs. 4.69%, p > 0.05). The difference in erythema between the sides was statistically not significant (p > 0.05). In the ex vivo model, expression of FGF2 in the skin was significantly increased after application of the antioxidant formulation, as compared to results obtained subsequent to fractional microneedle radiofrequency treatment only (p < 0.01). Conclusion This study demonstrates that for the treatment of photodamaged skin, laser-assisted delivery of the antioxidant formulation is a safe and effective adjuvant modality following fractional microneedle radiofrequency.

• 대한기계학회논문집A
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• 제24권2호
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• pp.362-369
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• 2000

Via screw theory, a vibration mode can be geometrically interpreted as a pure rotation about the vibration center in a plane and as a twisting motion on a screw in a three dimensional space. In thi s paper, applying the conditions that can be used to diagonalize the stiffness matrix by a parallel axis congruence transformation, the vibration modes and frequency response of an elastically suspended optical disc drive have been analyzed. It is first shown that the system has one plane of symmetry, which enables one to decouple the complicated vibration modes into two sets of modes independent of each other. Having obtained the analytical solutions for the axes of vibrations, the frequency response for a given applied input force has been demonstrated. Most importantly, it has been explained that this research result could be used in the synthesis process of a linear vibration system in order to improve the frequency response.