• 제목/요약/키워드: Karman와

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변동풍속의 파워 스펙트럴 밀도에 관한 평가 (Estimation on the Power Spectral Densities of Daily Instantaneous Maximum Fluctuation Wind Velocity)

  • 오종섭
    • 한국방재안전학회논문집
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    • 제10권2호
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    • pp.21-28
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    • 2017
  • 시공간적으로 불규칙하게 작용하는 변동 풍속 난류의 자료는 풍공학적으로 돌풍계수 평균풍속 변동 풍하중등의 계산에서 요구되지만, 내풍 및 사용성에 따른 동적응답의 평가에서는 변동 풍속의 파워 스펙트럴 밀도함수가 요구된다. 본 논문에서는 1987-2016.12.1일까지의 일순간최대풍속 자료를 확률과정으로 가정했고, 이 실측된 자료와 확률이론을 근거로 평균류방향 파워 스펙트럴 밀도 함수에 대한 기초적 자료를 얻고자 대표지점(6개 지점)을 선정했다. 선정된 각 지점에 대한 일순간최대풍속자료는 기상청으로부터 획득했다. 해석결과 본 논문에서 평가된 스펙트럼 모델은 저진동수 영역에서는 Solari, 고진동수 영역에서는 von Karman의 모델과 근접한 현상을 나타냈다.

열하중을 받는 복합적층 원통형 패널의 좌굴후 거동 및 진동해석 (Postbuckling and Vibration Analysis of Cylindrical Composite Panel subject to Thermal Loads)

  • 오일권;이인
    • 한국군사과학기술학회지
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    • 제2권2호
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    • pp.148-156
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    • 1999
  • 유한요소기법을 적용하여 열하중을 받는 원통형 복합적층 패널의 좌굴후 거동해석 및 진동 특성을 연구하였다. 열적 대변형을 고려하기 위해 층별변위장이론을 바탕으로 한 von-Karman 비선형 변위-변형률 관계식을 적용하였다. 원통형 패널의 스냅핑 현상을 해석하기 위해서 원통형 호길이법이 사용되었다. 원통형 패널의 두께비, shallowness angle 그리고 경계조건 등 여러 가지 구조 파라미터에 따라 열적 스냅핑과 진동 특성을 고찰하였다. 열적 스냅핑 특성이 정적인 변형뿐만 아니라 진동 모드 형상 및 순서를 변화시키고 있음을 보여준다.

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Instability of (Heterogeneous) Euler beam: Deterministic vs. stochastic reduced model approach

  • Ibrahimbegovic, Adnan;Mejia-Nava, Rosa Adela;Hajdo, Emina;Limnios, Nikolaos
    • Coupled systems mechanics
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    • 제11권2호
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    • pp.167-198
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    • 2022
  • In this paper we deal with classical instability problems of heterogeneous Euler beam under conservative loading. It is chosen as the model problem to systematically present several possible solution methods from simplest deterministic to more complex stochastic approach, both of which that can handle more complex engineering problems. We first present classical analytic solution along with rigorous definition of the classical Euler buckling problem starting from homogeneous beam with either simplified linearized theory or the most general geometrically exact beam theory. We then present the numerical solution to this problem by using reduced model constructed by discrete approximation based upon the weak form of the instability problem featuring von Karman (virtual) strain combined with the finite element method. We explain how such numerical approach can easily be adapted to solving instability problems much more complex than classical Euler's beam and in particular for heterogeneous beam, where analytic solution is not readily available. We finally present the stochastic approach making use of the Duffing oscillator, as the corresponding reduced model for heterogeneous Euler's beam within the dynamics framework. We show that such an approach allows computing probability density function quantifying all possible solutions to this instability problem. We conclude that increased computational cost of the stochastic framework is more than compensated by its ability to take into account beam material heterogeneities described in terms of fast oscillating stochastic process, which is typical of time evolution of internal variables describing plasticity and damage.

Nonlinear static analysis of composite cylinders with metamaterial core layer, adjustable Poisson's ratio, and non-uniform thickness

  • Eipakchi, Hamidreza;Nasrekani, Farid Mahboubi
    • Steel and Composite Structures
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    • 제43권2호
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    • pp.241-256
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    • 2022
  • In this article, an analytical procedure is presented for static analysis of composite cylinders with the geometrically nonlinear behavior, and non-uniform thickness profiles under different loading conditions by considering moderately large deformation. The composite cylinder includes two inner and outer isotropic layers and one honeycomb core layer with adjustable Poisson's ratio. The Mirsky-Herman theory in conjunction with the von-Karman nonlinear theory is employed to extract the governing equations which are a system of nonlinear differential equations with variable coefficients. The governing equations are solved analytically using the matched asymptotic expansion (MAE) method of the perturbation technique and the effects of moderately large deformations are studied. The presented method obtains the results with fast convergence and high accuracy even in the regions near the boundaries. Highlights: • An analytical procedure based on the matched asymptotic expansion method is proposed for the static nonlinear analysis of composite cylindrical shells with a honeycomb core layer and non-uniform thickness. • The effect of moderately large deformation has been considered in the kinematic relations by assuming the nonlinear von Karman theory. • By conducting a parametric study, the effect of the honeycomb structure on the results is studied. • By adjusting the Poisson ratio, the effect of auxetic behavior on the nonlinear results is investigated.

Wind-sand tunnel experiment on the windblown sand transport and sedimentation over a two-dimensional sinusoidal hill

  • Lorenzo Raffaele;Gertjan Glabeke;Jeroen van Beeck
    • Wind and Structures
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    • 제36권2호
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    • pp.75-90
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    • 2023
  • Turbulent wind flow over hilly terrains has been extensively investigated in the scientific literature and main findings have been included in technical standards. In particular, turbulent wind flow over nominally two-dimensional hills is often adopted as a benchmark to investigate wind turbine siting, estimate wind loading, and dispersion of particles transported by the wind, such as atmospheric pollutants, wind-driven rain, windblown snow. Windblown sand transport affects human-built structures and natural ecosystems in sandy desert and coastal regions, such as transport infrastructures and coastal sand dunes. Windblown sand transport taking place around any kind of obstacle is rarely in equilibrium conditions. As a result, the modelling of windblown sand transport over complex orographies is fundamental, even if seldomly investigated. In this study, the authors present a wind-sand tunnel test campaign carried out on a nominally two-dimensional sinusoidal hill. A first test is carried out on a flat sand fetch without any obstacle to assess sand transport in open field conditions. Then, a second test is carried out on the hill model to assess the sand flux overcoming the hill and the morphodynamic evolution of the sand sedimenting over its upwind slope. Finally, obtained results are condensed into a dimensionless parameter describing its sedimentation capability and compared with values resulting from other nominally two-dimensional obstacles from the literature.

Nonlinear analysis of two-directional functionally graded doubly curved panels with porosities

  • Kumar, H.S. Naveen;Kattimani, Subhaschandra
    • Structural Engineering and Mechanics
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    • 제82권4호
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    • pp.477-490
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    • 2022
  • This article investigates the nonlinear behavior of two-directional functionally graded materials (TDFGM) doubly curved panels with porosities for the first time. An improved and effectual approach is established based on the improved first-order shear deformation shell theory (IFSDST) and von Karman's type nonlinearity. The IFSDST considers the effects of shear deformation without the need for a shear correction factor. The composition of TDFGM constitutes four different materials, and the modified power-law function is employed to vary the material properties continuously in both thickness and longitudinal directions. A nonlinear finite element method in conjunction with Hamilton's principle is used to obtain the governing equations. Then, the direct iterative method is incorporated to accomplish the numerical results using the frequency-amplitude, nonlinear central deflection relations. Finally, the influence of volume fraction grading indices, porosity distributions, porosity volume, curvature ratio, thickness ratio, and aspect ratio provides a thorough insight into the linear and nonlinear responses of the porous curved panels. Meanwhile, this study emphasizes the influence of the volume fraction gradation profiles in conjunction with the various material and geometrical parameters on the linear frequency, nonlinear frequency, and deflection of the TDFGM porous shells. The numerical analysis reveals that the frequencies and nonlinear deformations can be significantly regulated by changing the volume fraction gradation profiles in a specified direction with an appropriate combination of materials. Hence, TDFGM panels can overcome the drawbacks of the functionally graded materials with a gradation of properties in a single direction.

Experimental investigation on flow field around a flapping plate with single degree of freedom

  • Hanyu Wang;Chuan Lu;Wenhai Qu;Jinbiao Xiong
    • Nuclear Engineering and Technology
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    • 제55권6호
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    • pp.1999-2010
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    • 2023
  • Undesirable flapping motion of discs can cause the failure of swing check valves in nuclear passive safety systems. Time-resolved particle image velocimetry (PIV) was employed to investigate the flow characteristics around a free-to-rotate plate and the motion response, with the Reynolds numbers, based on the hydraulic diameter of the channel, from 1.32 × 104 to 3.95 × 104. Appreciable flapping motion (±3.52°) appeared at the Reynolds number of 2.6 × 104 with the frequency of 5.08 Hz. In the low-Reynolds-number case, the plate showed negligible flapping. In the high-Reynolds-number case, the deflection angle increased with reduced flapping amplitude. The torque from the fluid determined the flapping amplitude. In the low-Reynolds-number case, Karman vortices were absent. With increasing Reynolds numbers, Karman vortices developed behind the plate with larger deflection angles. Strong interaction between the wake flow from the leading and trailing edge of the plate was observed. Based on power spectrum density (PSD) analysis, the vortex shedding frequency coincided with the flapping frequency, and the amplitude was positively correlated to the strength of the vortices. Proper orthogonal decomposition (POD) modes evince that, in the case of appreciable motion, coherent structures exhibited a larger spatial scale, enhancing the magnitude of the external torque on the plate.

Investigation of nonlinear free vibration of FG-CNTRC cylindrical panels resting on elastic foundation

  • J.R. Cho
    • Structural Engineering and Mechanics
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    • 제88권5호
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    • pp.439-449
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    • 2023
  • Non-linear vibration characteristics of functionally graded CNT-reinforced composite (FG-CNTRC) cylindrical shell panel on elastic foundation have not been sufficiently examined. In this situation, this study aims at the profound numerical investigation of the non-linear vibration response of FG-CNTRC cylindrical panels on Winkler-Pasternak foundation by introducing an accurate and effective 2-D meshfree-based non-linear numerical method. The large-amplitude free vibration problem is formulated according to the first-order shear deformation theory (FSDT) with the von Karman non-linearity, and it is approximated by Laplace interpolation functions in 2-D natural element method (NEM) and a non-linear partial derivative operator HNL. The complex and painstaking numerical derivation on the curved surface and the crucial shear locking are overcome by adopting the geometry transformation and the MITC3+ shell elements. The derived nonlinear modal equations are iteratively solved by introducing a three-step iterative solving technique which is combined with Lanczos transformation and Jacobi iteration. The developed non-linear numerical method is estimated through the benchmark test, and the effects of foundation stiffness, CNT volume fraction and functionally graded pattern, panel dimensions and boundary condition on the non-linear vibration of FG-CNTRC cylindrical panels on elastic foundation are parametrically investigated.

Nonlinear vibration analysis of FG porous shear deformable cylindrical shells covered by CNTs-reinforced nanocomposite layers considering neutral surface exact position

  • Zhihui Liu;Kejun Zhu;Xue Wen;Abhinav Kumar
    • Advances in nano research
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    • 제17권1호
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    • pp.61-73
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    • 2024
  • This paper presents nonlinear vibration analysis of a composite cylindrical shell. The core of the shell is made of functionally graded (FG) porous materials and layers is fabricated of carbon nanotubes (CNTs) reinforced nanocomposites. To increase the accuracy of results, neutral surface position is considered. First-order shear deformation theory is used as displacement field to derive the basic relations of equation motions. In addition, von-Karman nonlinear strains are employed to account geometric nonlinearity and to enhance the results' precision, the exact position of the neutral surface is considered. To governing the partial equations of motion, the Hamilton's principle is used. To reduce the equation motions into a nonlinear motion equation, the Galerkin's approach is employed. After that the nonlinear motion equation is solved by multiple scales method. Effect of various parameters such as volume fraction and distribution of CNTs along the thickness directions, different patterns and efficiency coefficients of porous materials, geometric characteristics and initial conditions on nonlinear to linear ratio of frequency is investigated.

정현파 입구 속도 변동에 따른 열교환기 관군의 유동 및 열전달 특성 (Flow and Heat Transfer Characteristics of Heat Exchanger Tube Bank with the Sinusoidal Inlet Velocity)

  • 하지수
    • 한국가스학회지
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    • 제25권1호
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    • pp.14-19
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    • 2021
  • 열교환기 관군에서 덕트 입구의 속도가 일정한 경우와 정현파로 변하는 경우에 대하여 시간에 따라 배관 주위에서 유동 특성과 열전달 특성 규명을 위해 와류 분포와 온도 분포 변화를 비교 분석하였다. 입구 속도가 정현파 변동이 있는 경우에 열교환기 관군에서 대표적인 원관에서 양력과 항력의 power spectral density를 도출하여 유동 변화에 따른 주파수 특성을 살펴보았다. 입구 유속이 일정한 경우는 열교환기 관군의 입구쪽 관군 부근에서 원관 주위 유동에서 관찰 할 수 있는 칼만 와류를 관찰할 수 있었다. 정현파 입구 속도 변동의 경우에서도 입구쪽 관군에서 칼만 와류가 형성되는 것을 관찰할 수 있었고 정현파 입구 속도 변동에 따른 유동 와류 변화를 관찰할 수 있었다. 온도 분포 변화는 일정한 입구 속도 변화의 경우와 정현파 입구 속도변화의 경우 모두 유동 와류 분포에서 관찰한 것과 유사하게 나타나는 것을 확인할 수 있었다. 유동 주파수는 일정한 입구 속도의 경우는 37.25 Hz이며 정현파 입구 속도의 경우는 정현파 주파수와 동일하게 18.63 Hz으로 나타났다. 열교환기 배관 전체의 평균 Nu수는 일정한 입구 속도의 경우에는 1051이며 정현파 입구 속도 변동의 경우는 1117로 나타나서 정현파로 입구 속도가 변하는 경우의 열전달이 6.3% 증가하는 것을 알 수 있었다.