• 대한기계학회논문집
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• 제11권1호
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• pp.63-73
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• 1987

본 논문에서는 차륜을 등방성, 균질 재료라고 가정하였으며 웨브와 림의 두께 가 서로 다른 환형원판으로써 내원주는 고정되고 외원주는 자유라고 가정하였다. 외 원주상의 한 점에서 철로와의 구름조건에 따라 변하는 반경방향의 반력에 의한 내평면 압축응력과 원판의 회전에 의한 내평면 압축응력을 고려하고, 두께가 변하는 웨브와 림의 경계면에서의 연속조건을 이용하여 차륜의 횡진동방정식을 세워서 Rayleigh-Ritz 방법으로 수치해석을 하여 고유진동수와 임계좌굴하중을 계산하고, 실제 차륜의 1/6크 기로 형상화하여 제작한 연성진동장치로 실험하여 이론치와 비교, 검토하였다.

• Structural Engineering and Mechanics
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• 제31권6호
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• pp.625-638
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• 2009

Applications of membrane mechanisms are widely found in nano-devices and nano-sensor technologies nowadays. An alternative approach for large deflection analysis of the orthotropic, elliptic membranes - subject to gravitational, uniform pressures often found in nano-sensors - is described in this paper. The material properties of membranes are assumed to be orthogonally isotropic and linearly elastic, while the principal directions of elasticity are parallel to the coordinate axes. Formulating the potential energy functional of the orthotropic, elliptic membranes involves the strain energy that is attributed to inplane stress resultant and the potential energy due to applied pressures. In the solution method, Rayleigh-Ritz method can be used successfully to minimize the resulting total potential energy generated. The set of equilibrium equations was solved subsequently by Newton-Raphson. The unparalleled model formulation capable of analyzing the large deflections of both circular and elliptic membranes is verified by making numerical comparisons with existing results of circular membranes as well as finite element solutions. The results are found in excellent agreements at all cases. Then, the parametric investigations are given to delineate the impacts of the aspect ratios and orthotropic elasticity on large static tensions and deformations of the orthotropic, elliptic membranes.

• Structural Engineering and Mechanics
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• 제67권4호
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• pp.417-425
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• 2018

The main aim of this paper is to investigate the bending of Euler-Bernouilli nano-beams made of bi-directional functionally graded materials (BDFGMs) using Eringen's non-local elasticity theory in the integral form with compare the differential form. To the best of the researchers' knowledge, in the literature, there is no study carried out into integral form of Eringen's non-local elasticity theory for bending analysis of BDFGM Euler-Bernoulli nano-beams with arbitrary functions. Material properties of nano-beam are assumed to change along the thickness and length directions according to arbitrary function. The approximate analytical solutions to the bending analysis of the BDFG nano-beam are derived by using the Rayleigh-Ritz method. The differential form of Eringen's non-local elasticity theory reveals with increasing size effect parameter, the flexibility of the nano-beam decreases, that this is unreasonable. This problem has been resolved in the integral form of the Eringen's model. For all boundary conditions, it is clearly seen that the integral form of Eringen's model predicts the softening effect of the non-local parameter as expected. Finally, the effects of changes of some important parameters such as material length scale, BDFG index on the values of deflection of nano-beam are studied.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2008년도 춘계학술대회논문집
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• pp.96-100
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• 2008

In this paper, a experimental and theoretical study is carried out on the hydroelastic vibration for a rectangular bottom and side plate of tank. It is assumed that the tank wall is clamped along the plate edges. The fluid velocity potential is used for the simulation of fluid domain and to obtain the added mass due to plate vibration. It is assumed that the fluid is imcompressible and inviscid. Assumed mode method is utilized to the plate model and hydrodynamic force is obtained by the proposed approach. The coupled natural frequencies are obtained from the relationship between kinetic energies of a wall including fluid and the potential energy of the wall. The theoretical result is compared with the three-dimensional finite element method. In order to verify the result, modal test was carried out for bottom/side plate of tank model by using impact hammer. It was found the fundamental natural frequency of bottom plate is lower than that of side plate of tank and theoretical result was in good agreement with that of commercial three-dimensional finite element program.

• Steel and Composite Structures
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• 제4권4호
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• pp.281-301
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• 2004

The paper begins by presenting a unified variational approach to the lateral-torsional buckling (LTB) analysis of doubly symmetric prismatic and tapered thin-walled beams with open cross-sections, which accounts for the influence of the pre-buckling deflections. This approach (i) extends the kinematical assumptions usually adopted for prismatic beams, (ii) consistently uses shell membrane theory in general coordinates and (iii) adopts Trefftz's criterion to perform the bifurcation analysis. The proposed formulation is then applied to investigate the influence of the pre-buckling deflections on the LTB behaviour of prismatic and web-tapered I-section simply supported beams and cantilevers. After establishing an interesting analytical result, valid for prismatic members with shear centre loading, several elastic critical moments/loads are presented, discussed and, when possible, also compared with values reported in the literature. These numerical results, which are obtained by means of the Rayleigh-Ritz method, (i) highlight the qualitative differences existing between the LTB behaviours of simply supported beams and cantilevers and (ii) illustrate how the influence of the pre-buckling deflections on LTB is affected by a number of factors, namely ($ii_1$) the minor-to-major inertia ratio, ($ii_2$) the beam length, ($ii_3$) the location of the load point of application and ($ii_4$) the bending moment diagram shape.

• Nuclear Engineering and Technology
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• 제41권3호
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• pp.335-346
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• 2009

This paper deals with a hydroelastic vibration analysis of two rectangular plates partially coupled with a liquid, which is bounded by two plates and two rigid side walls. The wet displacement of each plate is assumed to be a combination of the modal functions of a dry uniform beam with a clamped boundary condition. As the liquid is assumed to be an ideal liquid, the displacement potential satisfying the Laplace equation is determined so that the liquid boundary conditions can meet the requirements at the rigid surfaces and the free liquid surface. The wet dynamic modal functions of each plate are expanded by using the finite Fourier transform to obtain an appropriate form of the compatibility requirement along the contacting surfaces between the plates and the liquid. The liquid-coupled natural frequencies of the plates are derived by using the Rayleigh-Ritz method. Finite element analyses using commercial software are carried out to verify the proposed theory. It is observed that the theoretical method agrees excellently with the three-dimensional finite element analyses results. The effects of the liquid depth and the liquid thickness on the normalized natural frequencies are investigated to identify the dynamic characteristics of the liquid coupled system.

• Composites Research
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• 제13권6호
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• pp.9-22
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• 2000

한 방향으로 상자형 단면을 갖는 보강재로 보강된 복합재료 사각판에 대한 고유진동수 및 한 방향 압축, 양방향압축, 양 또는 음의 전단하중에 대한 임계좌굴하중에 대한 이론적 해석을 위해 에너지법을 기초로 한 Rayleigh-Ritz 과정이 이용되었다. 해석과정에서 판 구조물에서의 보강재에 의한 보강효과를 표현하기 위해 이산보강이론이 도입되었다. 해의 정확도를 검증하기 위해 수렴성 검토가 이루어졌으며, 몇 가지 예에 대해 진동 및 좌굴모드형상의 contour plot이 제시되었다. 보강재의 수, 위치, 형상비와 판의 적층각, 형상비 등과 같은 변수에 따른 영향을 중점적으로 설명하였다.

• Composites Research
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• 제14권2호
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• pp.43-49
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• 2001

무선 랜용 시스템에 응용할 수 있는 스마트 스킨의 좌굴에 따른 성능변화에 대하여 살펴보았다. 스마트 스킨 구조물은 샌드위치 구조물을 응용한 것으로써 3층의 면재가 있으며 각 면재 사이에는 하니콤 심재가 있다. 좌굴하중을 Rayleigh-Ritz방법에 의하여 예측하고 실험결과와 비교하였다. 압축시 심재를 둘러싸고 있는 면재만 하중을 지지한다고 가정하여 좌굴이 발생하지 않는 시편의 길이를 계산하였으며, 그 근방에서는 좌굴 현상이 명확이 발생하지 않음을 확인 할 수 있었다. 시편의 길이가 길어 좌굴이 명확하게 발생한 경우 예측식과 잘 일치하였다. 좌굴의 진행정도에 따른 반사 계수와 방사패턴을 측정하여 안테나의 성능변화에 대하여 살펴보았으며, 하중지지능력이 상실된 후에 안테나의 기능이 상실됨을 확인하였다.

• 한국구조물진단유지관리공학회 논문집
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• 제18권1호
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• pp.150-159
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• 2014

본 논문은 초기하중을 받는 직사각형판 및 역대칭 Angle-Ply 적층판의 좌굴 및 진동특성을 무재하시의 고유진동수를 이용하여 산정하는 간편법을 제시하였다. 마주보는 두변이 단순지지된 직사각형판의 운동방정식은 곡률항을 고려한 Mindlin 판이론과 에너지원리를 이용한 Rayleigh-Ritz법을 이용하여 유도하였다. 초기응력을 받는 직사각형판의 무차원화 고유진동수, 임계좌굴계수 및 동적불안정영역 문제들을 무재하시의 무차원화 고유진동수로서 각각의 특성을 정립하였다. 본 연구에서 제안한 진동특성에 관한 간편산정식의 타당성과 사용성을 입증하기 위해 수치예를 들어 검토하였다.

• 한국재난정보학회 논문집
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• 제11권4호
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• pp.527-533
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• 2015

본 논문은 초기하중을 받는 역대칭 Cross-Ply 원통쉘의 동적특성을 고유진동수를 이용하여 해석하였다. 마주보는 두변이 단순지지된 적층 원통쉘의 운동방정식은 곡률항을 고려한 Mindlin 쉘이론과 에너지원리를 이용한 Rayleigh-Ritz법을 이용하여 유도하였다. 초기응력을 받는 적층쉘의 고유진동수, 임계좌굴계수 및 동적불안정영역 문제들을 무재하시의 무차원화 고유진동수로서 각각의 특성을 정립하였다. 본 연구에서 제안한 진동특성에 관한 간편산정식의 타당성과 사용성을 입증하기 위해 수치예를 들어 검토하였다.