• 제목/요약/키워드: asymmetric boundary conditions

검색결과 31건 처리시간 0.025초

DQM을 이용한 비대칭 곡선보의 내평면 진동해석 (In-Plane Vibration Analysis of Asymmetric Curved Beams Using DQM)

  • 강기준;김영우
    • 한국산학기술학회논문지
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    • 제11권8호
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    • pp.2734-2740
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    • 2010
  • 미분구적법을 이용하여, 전단변형을 고려하지 않은, 단면적이 변하는 비대칭 곡선 보의 면내 자유진동을 해석하였다. 다양한 경계조건 및 굽힘 각에 따른 진동수를 계산하였고, 그 결과를 다른 수치해석들과 비교하였다. 미분구적법은 비교적 적은 요소를 사용하고도 정확한 해석결과를 보여준다.

The effect of carbon nanotubes agglomeration on vibrational response of thick functionally graded sandwich plates

  • Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제24권6호
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    • pp.711-726
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    • 2017
  • In the present work, by considering the agglomeration effect of single-walled carbon nanotubes, free vibration characteristics of functionally graded (FG) nanocomposite sandwich plates resting on Pasternak foundation are presented. The volume fractions of randomly oriented agglomerated single-walled carbon nanotubes (SWCNTs) are assumed to be graded in the thickness direction. To determine the effect of CNT agglomeration on the elastic properties of CNT-reinforced composites, a two-parameter micromechanical model of agglomeration is employed. In this research work, an equivalent continuum model based on the Eshelby-Mori-Tanaka approach is employed to estimate the effective constitutive law of the elastic isotropic medium (matrix) with oriented straight CNTs. The 2-D generalized differential quadrature method (GDQM) as an efficient and accurate numerical tool is used to discretize the equations of motion and to implement the various boundary conditions. The proposed rectangular plates have two opposite edges simply supported, while all possible combinations of free, simply supported and clamped boundary conditions are applied to the other two edges. The benefit of using the considered power-law distribution is to illustrate and present useful results arising from symmetric and asymmetric profiles. The effects of two-parameter elastic foundation modulus, geometrical and material parameters together with the boundary conditions on the frequency parameters of the laminated FG nanocomposite plates are investigated. It is shown that the natural frequencies of structure are seriously affected by the influence of CNTs agglomeration. This study serves as a benchmark for assessing the validity of numerical methods or two-dimensional theories used to analysis of laminated plates.

Effects of foundation flexibility on seismic demands of asymmetric buildings subject to near-fault ground motions

  • Atefatdoost, Gholam Reza;JavidSharifi, Behtash;Shakib, Hamzeh
    • Structural Engineering and Mechanics
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    • 제66권5호
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    • pp.637-648
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    • 2018
  • When the centers of mass and stiffness of a building do not coincide, the structure experiences torsional responses. Such systems can consist of the underlying soil and the super-structure. The underlying soil may modify the earthquake input motion and change structural responses. Specific effects of the input motion shall also not be ignored. In this study, seismic demands of asymmetric buildings considering soil-structure interaction (SSI) under near-fault ground motions are evaluated. The building is modeled as an idealized single-story structure. The soil beneath the building is modeled by non-linear finite elements in the two states of loose and dense sands both compared with the fixed-base state. The infinite boundary conditions are modelled using viscous boundary elements. The effects of traditional and yield displacement-based (YDB) approaches of strength and stiffness distributions are considered on seismic demands. In the YDB approach, the stiffness considered in seismic design depends on the strength. The results show that the decrease in the base shear considering soft soil induced SSI when the YDB approach is assumed results only in the center of rigidity to control torsional responses. However, for fixed-base structures and those on dense soils both centers of strength and rigidity are controlling.

Ambient vibration tests on a 19 - story asymmetric steel building

  • Shakib, H.;Parsaeifard, N.
    • Structural Engineering and Mechanics
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    • 제40권1호
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    • pp.1-11
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    • 2011
  • Ambient vibration tests were carried out to evaluate the dynamic properties of an asymmetric steel building with semi-rigid connections. The test case has many non-structural elements, constructed in the city of Tehran (Iran). The tests were conducted to obtain natural frequencies, mode shapes and damping ratio of the structure and then Fourier transform were used to analyze the velocity records obtained from the tests. The first and second natural periods of the building were obtained as 1.37 s and 1.28 s through the test and damping ratio for the first mode was calculated as 0.047. However, Natural periods obtained from finite element model have higher values from those gained from ambient vibration. Then the model was calibrated by modeling of the in-fill masonry panels at their exact locations and considering the boundary conditions by modeling two blocks near the block No. 3, but the differences were existed. These differences may be due to some hidden stiffness of nonstructural elements in the low range of elastic behavior, showing the structure stiffer than it is in reality.

Asymmetric flows of non-Newtonian fluids in symmetric stenosed artery

  • Hun Jung;Park, Jong-Wook;Park, Chan-Guk
    • Korea-Australia Rheology Journal
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    • 제16권2호
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    • pp.101-108
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    • 2004
  • The hemodynamics behavior of the blood flow is influenced by the presence of the arterial stenosis. If the stenosis is present in an artery, normal blood flow is disturbed. In the present study, the characteristics of pulsatile flow in the blood vessel with stenosis are investigated by the finite volume method. For the validation of numerical model, the computation results are compared with the experimental ones of Ojha et al. in the case of 45% stenosis with a trapezoidal profile. Comparisons between the measured and the computed velocity profiles are favorable to our solutions. Finally, the effects of stenosis severity and wall shear stress are discussed in the present computational analysis. It can be seen, where the non-dimensional peak velocity is displayed for all the stenosis models at a given severity of stenosis, that it is exponentially increased. Although the stenosis and the boundary conditions are all symmetric, the asymmetric flow can be detected in the more than 57% stenosis. The instability by a three-dimensional symmetry-breaking leads to the asymmetric separation and the intense swirling motion downstream of the stenosis.

AT LEAST TWO SOLUTIONS FOR THE ASYMMETRIC BEAM SYSTEM WITH CRITICAL GROWTH

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • 제19권3호
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    • pp.331-342
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    • 2011
  • We consider the multiplicity of the solutions for a class of a system of critical growth beam equations with periodic condition on t and Dirichlet boundary condition $$\{u_{tt}+u_{xxxx}=av+\frac{2{\alpha}}{{\alpha}+{\beta}}u_{+}^{{\alpha}-1}v_{+}^{\beta}+s{\phi}_{00}\;\;in\;(-\frac{\pi}{2},\;\frac{\pi}{2}){\times}R,\\u_{tt}+v_{xxxx}=bu+\frac{2{\alpha}}{{\alpha}+{\beta}}u_{+}^{\alpha}v_{+}^{{\beta}-1}+t{\phi}_{00}\;\;in\;(-\frac{\pi}{2},\;\frac{\pi}{2}){\times}R,$$ where ${\alpha}$, ${\beta}$ > 1 are real constants, $u_+=max\{u,0\}$, ${\phi}_{00}$ is the eigenfunction corresponding to the positive eigenvalue ${\lambda}_00=1$ of the eigenvalue problem $u_{tt}+u_{xxxx}={\lambda}_{mn}u$. We show that the system has a positive solution under suitable conditions on the matrix $A=\(\array{0&a\\b&0}\)$, s > 0, t > 0, and next show that the system has another solution for the same conditions on A by the linking arguments.

Laboratory measurements of the drag coefficient over a fixed shoaling hurricane wave train

  • Zachry, Brian C.;Letchford, Chris W.;Zuo, Delong;Kennedy, Andrew B.
    • Wind and Structures
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    • 제16권2호
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    • pp.193-211
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    • 2013
  • This paper presents results from a wind tunnel study that examined the drag coefficient and wind flow over an asymmetric wave train immersed in turbulent boundary layer flow. The modeled wavy surface consisted of eight replicas of a statistically-valid hurricane-generated wave, located near the coast in the shoaling wave region. For an aerodynamically rough model surface, the air flow remained attached and a pronounced speed-up region was evident over the wave crest. A wavelength-averaged drag coefficient was determined using the wind profile method, common to both field and laboratory settings. It was found that the drag coefficient was approximately 50% higher than values obtained in deep water hurricane conditions. This study suggests that nearshore wave drag is markedly higher than over deep water waves of similar size, and provides the groundwork for assessing the impact of nearshore wave conditions on storm surge modeling and coastal wind engineering.

미분구적법(DQM)을 사용한 비대칭 곡선 보의 신장 좌굴해석 (Extensional Buckling Analysis of Asymmetric Curved Beams Using DQM)

  • 강기준
    • 한국산학기술학회논문지
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    • 제22권4호
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    • pp.594-600
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    • 2021
  • 곡선 보는 철교 그리고 자동차와 갈은 구조물의 구성으로 널리 사용되어왔다. 많은 연구자들의 관심분야인 이러한 구조물의 안정성 거동 해석분야는 괄목할 만한 성과가 있어 왔다. 곡선 보 구조물의 기하학적 구조 및 물성치가 탄성 및 강성에 미치는 영향을 분석하기 위하여 정역학적 동역학적 해석이 필요하다. 그러나 구조물의 복잡성 때문에 어떠한 경계조건에서도 엄밀해를 얻기가 매우 어렵다. 전통적으로 미분방정식의 해법은 유한차분법 혹은 유한요소법으로 해결해왔으나 이러한 방법들은 때론 복잡한 비선형 구조물에는 과도한 컴퓨터 용량사용과 복잡한 알고리즘 프로그램을 요구한다. 이러한 어려움을 해결하기 위해 미분구적법(DQM)이 여러 분야에 사용되어왔다. 본 연구에서는 복잡한 편미분 방정식의 해를 구하기 위하여 미분구적법이 사용되었다. 중면 신장을 고려한 등분포 하중 하에서 선형으로 변하는 비대칭 곡선 보의 내평면 신장 좌굴의 지배방정식을 유도하였고, DQM을 이용하여 지배방정식의 해를 구하였다. 다양한 열림 각, 경계 조건, 그리고 파라미터에 의한 임계하중을 계산하였다. DQM 결과는 비교 가능한 엄밀해와 비교하였고 DQM은 적은 격자점을 사용하고도 정확성을 보여주었다. 예를 들어 열림 각이 180°인 비 신장 고정단 곡선 보의 경우, 엄밀해의 임계하중 값은 8.0이고 DQM의 임계하중 값은 7.98로, 오차가 0.3% 미만 이었다. 곡선 보의 내평면 비 신장 임계하중도 계산하였고, 두 이론을 상호 비교 분석하였다. 아크축의 중면 신장을 고려한 연구는 곡선 보의 임계하중에 중대한 영향을 미치는 것을 보여준다.

Static stability and vibration response of rotating carbon-nanotube-reinforced composite beams in thermal environment

  • Ozge Ozdemir;Huseyin Ural;Alexandre de Macedo Wahrhaftig
    • Advances in nano research
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    • 제16권5호
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    • pp.445-458
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    • 2024
  • The objective of this paper is to present free vibration and static stability analyses of rotating composite beams reinforced with carbon nanotubes (CNTs) under uniform thermal loads. Beam structural equations and CNT-reinforced composite (CNTRC) beam formulations are derived based on Timoshenko beam theory (TBT). The temperature-dependent properties of the beam material, such as the elastic modulus, shear modulus, and material density, are assumed to vary over the thickness according to the rule of mixture. The beam material is modeled as a mixture of single-walled carbon nanotubes (SWCNTs) in an isotropic matrix. The SWCNTs are aligned and distributed in the isotropic matrix with different patterns of reinforcement, namely the UD (uniform), FG-O, FG-V, FG- Λ and FG-X distributions, where FG-V and FG- Λ are asymmetric patterns. Numerical examples are presented to illustrate the effects of several essential parameters, including the rotational speed, hub radius, effective material properties, slenderness ratio, boundary conditions, thermal force, and moments due to temperature variation. To the best of the authors' knowledge, this study represents the first attempt at the finite element modeling of rotating CNTRC Timoshenko beams under a thermal environment. The results are presented in tables and figures for both symmetric and asymmetric distribution patterns, and can be used as benchmarks for further validation.

목포해역 낙조류 우세현상의 수치모의 (Numerical Modeling of Ebb-Dominant Tidal Flow in the Mokpo Coastal Zone)

  • 정태성;최종화
    • 한국해안·해양공학회논문집
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    • 제22권5호
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    • pp.333-343
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    • 2010
  • 목포해역에서 조위와 조류 관측자료를 분석하여, 낙조류 우세 조류특성을 보이는 것을 확인하였으며 낙조류 우세를 발생하는 물리적 요인에 대해 검토하였다. 노출한계수심, 바닥마찰응력 산정방법, 해안 매립, 조석의 진폭, 비선형 조석, 와점성계수와 목포해역의 낙조류 우세현상의 관련성에 대해서 2차원 해수유동 모형을 적용하여 자세히 조사하였다. 다양한 조건에 대한 모의결과로부터 노출한계수심과 와점성계수는 모의결과에 거의 영향을 주지 않으며, 바닥마찰응력이 증가함에 따라 조류의 비선형성이 증가하여 낙조류 우세현상이 나타나는 것을 확인할 수 있었다. 간사지가 미치는 영향은 간사지가 육지로 바뀌면 낙조류 우세가 심해지고, 간사지가 바다로 바뀌면 낙조류 우세가 사라지는 것을 확인할 수 있었다. 그동안 목포해역에서 진행되어온 해안매립사업은 낙조우세현상을 심화시켜 왔음을 확인할 수 있었으며, 비선형 조석은 비대칭 조류를 생성하는 데 결정적인 역할을 하여 조류의 비대칭성인 강한 목포해역에서 조류를 모의할 때는 개방경계 조위에 비선형조석을 포함해야 함을 확인할 수 있었다.