비적합 유한요소망에 적용가능한 유체-구조물 연결 요소

조정래,이진호,조근희,윤혜진 한국지진공학회 2023 한국지진공학회논문집 Vol.27 No.4

In the fluid-structure interaction analysis, the finite element formulation is performed for the wave equation for dynamic fluid pressure, and the dynamic pressure is defined as a degree of freedom at the fluid nodes. Therefore, to connect the fluid to the structure, it is necessary to connect the degree of freedom of fluid dynamic pressure and the degree of freedom of structure displacement through an interface element derived from the relationship between dynamic pressure and displacement. The previously proposed fluid-structure interface elements use conformal finite element meshes in which the fluid and structure match. However, it is challenging to construct conformal meshes when complex models, such as water purification plants and wastewater treatment facilities, are models. Therefore, to increase modeling convenience, a method is required to model the fluid and structure domains by independent finite element meshes and then connect them. In this study, two fluid-structure interface elements, one based on constraints and the other based on the integration of nonsmooth functions, are proposed in nonconformal finite element meshes for structures and fluids, and their accuracy is verified.

Fluid-structure interaction system predicting both internal pore pressure and outside hydrodynamic pressure

Hadzalic, Emina,Ibrahimbegovic, Adnan,Dolarevic, Samir Techno-Press 2018 Coupled systems mechanics Vol.7 No.6

In this paper, we present a numerical model for fluid-structure interaction between structure built of porous media and acoustic fluid, which provides both pore pressure inside porous media and hydrodynamic pressures and hydrodynamic forces exerted on the upstream face of the structure in an unified manner and simplifies fluid-structure interaction problems. The first original feature of the proposed model concerns the structure built of saturated porous medium whose response is obtained with coupled discrete beam lattice model, which is based on Voronoi cell representation with cohesive links as linear elastic Timoshenko beam finite elements. The motion of the pore fluid is governed by Darcy's law, and the coupling between the solid phase and the pore fluid is introduced in the model through Biot's porous media theory. The pore pressure field is discretized with CST (Constant Strain Triangle) finite elements, which coincide with Delaunay triangles. By exploiting Hammer quadrature rule for numerical integration on CST elements, and duality property between Voronoi diagram and Delaunay triangulation, the numerical implementation of the coupling results with an additional pore pressure degree of freedom placed at each node of a Timoshenko beam finite element. The second original point of the model concerns the motion of the outside fluid which is modeled with mixed displacement/pressure based formulation. The chosen finite element representations of the structure response and the outside fluid motion ensures for the structure and fluid finite elements to be connected directly at the common nodes at the fluid-structure interface, because they share both the displacement and the pressure degrees of freedom. Numerical simulations presented in this paper show an excellent agreement between the numerically obtained results and the analytical solutions.

사각형 구조물에 저장된 유체의 동적거동에 유체높이와 구조물 폭의 비가 미치는 영향

박건,윤형철,홍기남 한국구조물진단유지관리공학회 2020 한국구조물진단유지관리공학회 논문집 Vol.24 No.5

In the case of an earthquake, the fluid storage structure generates hydraulic pressure due to the fluctuation of the fluid. At this time, the hydraulic pressure of the fluid changes not only the peaked acceleration of the earthquake but also the sloshing height of the fluid free water surface. Factors influencing this change in load include the shape of the seismic wave, the maximum seismic strength, the size of the fluid storage structure, the width of the structure, and the height of the fluid. In this study, the effect of the ratio between the height of the fluid and the width of the structure was investigated on the fluctuation characteristics of the fluid. 200mm and 140mm of fluid were placed in a water storage tank with a width of 500mm, and a real seismic wave was applied to measure the shape of the fluctuation of the fluid free water surface. The similarity between the experiment and the analysis was verified through the S.P.H(Smoothed Particle Hydrodynamic) technique, one of the numerical analysis techniques. It was confirmed that the free water surface of the fluid showed a similar shape, through comparison of experiment and analysis. And based on this results, SPH technique was applied to analyze the fluctuation shape of the fluid free water surface while varying the ratio between the fluid height and the structure width. An equation to predict the maximum and minimum heights of the fluid free water surface during an earthquake was proposed, and it was confirmed that the error between the maximum and minimum heights of the fluid free water surface predicted by the proposed equation was within a maximum of 3%. 유체 저장 구조물은 지진 시 유체의 출렁임에 의해 동수압이 발생한다. 이 때, 유체의 동수압은 지진의 강도뿐만 아니라 유체 자유수면의 출렁임 높이(sloshing height)에 의해서도 변화한다. 이러한 하중 변화에 영향을 미치는 인자로는 지진파의 형상, 최대지진강도, 유체 저장 구조물의 크기, 구조물의 폭, 유체의 높이 등이 있으며, 본 연구에서는 유체높이와 구조물 폭의 비가 유체의 출렁임 특성에 미치는 영향을 규명하고자 한다. 이를 위하여 구조물의 폭이 500mm인 수조에 구조물의 전체 높이 대비 50%인 200mm와 35%인 140mm의 유체를 담아 실지진파를 적용시켜 유체 자유수면의 출렁임 높이를 측정하였다. 또한 수치해석기법 중 하나인 SPH기법을 통하여 실험과 해석의 유사성을 검증하였다. 실험과 해석의 비교를 통하여 유체의 자유 수면이 유사한 형상을 나타냄을 확인하였으며, 이를 바탕으로 SPH기법을 적용하여 유체높이와 구조물 폭의 비를 다양하게 변화시키면서 유체 자유수면의 출렁임 형상을 분석하였다. 이상의 결과를 바탕으로 지진시 유체 자유수면의 최대높이 및 최소높이를 예측할 수 있는 식을 제안하였으며, 제안식에 의해 예측된 유체 자유수면의 최대 높이 및 최소 높이의 오차는 최대 3% 이내임을 확인하였다.

ALE 기반 외부 보조연료탱크 충돌충격시험 수치해석 연구

김현기(Hyun-Gi Kim),김성찬(Sungchan Kim) 한국산학기술학회 2018 한국산학기술학회논문지 Vol.19 No.3

외부 충격에 대한 연료탱크의 구조 건전성을 확인하기 위해서는 연료탱크 내부 연료의 거동과 그에 따른 영향성을 파악할 수 있는 유체-구조 연성해석을 수행해야 한다. 과거에는 유체-구조 연성해석을 수행하기 위해서는 상당한 전산자원과 과도한 계산시간이 필요하여 수치해석 결과를 도출하기까지 많은 제약이 있었다. 하지만, 최근 컴퓨터 성능이 획기적으로 향상되어 유체-구조 연성해석 등의 복잡한 수치해석이 가능하게 되었다. 유체-구조 연성해석을 위해 주로 사용되는 방법은 ALE(Arbitrary Lagrangian and Eulerian)와 입자법(Smoothed Particle Hydrodynamic)이 있다. 두 방법에는 상호 장단점이 있기 때문에 수치해석의 목적에 따라 적합한 방법을 적용하는 것이 필요하다. 본 연구에서는 ALE을 적용하여 연료탱크 충돌충격시험 수치모사를 수행하였다. 수치해석 목적은 충돌충격하중에 의해 컨테이너 내부에 장착된 연료탱크의 파손 가능성을 확인하는 것인데, 수치해석의 결과로 연료탱크 내부의 유체 거동을 파악하고, 충격하중에 의해 연료탱크와 컨테이너 구조물에서 발생하는 응력을 계산하여 연료탱크 파손 여부에 따른 내부 유체의 누설 가능성을 제고하였다. A fluid-structure interaction analysis should be performed to evaluate the behavior of the internal fuel and its influence in order to confirm the structural soundness of the fuel tank against external impacts. In the past, fluid-structure interaction analyses have been limited to the obtention of numerical simulation results due to the need for considerable computational resources and excessive computation time. However, recently, computer performance has been dramatically improved, enabling complex numerical analyses such as fluid-structure interaction analysis to be conducted. Lagrangian and Euler coupling methods and Lagrangian based analysis methods are mainly used for fluid-structure interaction analysis. Since both of these methods have their advantages and disadvantages, it is necessary to select the more appropriate one when conducting a numerical analysis. In this study, a numerical analysis of a crash impact test for a fuel tank is performed using ALE. The purpose of the numerical analysis is to estimate the possibility of failure of the fuel tank mounted inside the container when it is subjected to a crash impact. As a result of the numerical analysis, the fluid behavior inside the fuel tank is investigated and the stress generated in the fuel tank and the container structure is calculated, thereby enabling the possibility of fuel tank failure and leakage of the internal fluid to be evaluated.

부가질량 효과의 호흡모드를 고려한 구조-유체연성진동해석

배성용(S. Y. Bae) 한국동력기계공학회 2005 한국동력기계공학회 학술대회 논문집 Vol.- No.-

Marine structures are often in contact with inner or outer fluid as stem, ballast and oil tanks. The effect of interaction between fluid and structure has to be taken into consideration when we estimate the dynamic response of the structure appropriately. Fatigue damages can also be sometimes observed in these tanks which seem to be caused by resonance. Thin walled tank structures in ships which are in contact with water and located near engine or propeller where vibration characteristics are strongly affected by the added mass of containing water. Therefore it is essentially important to estimate the added mass effect to predict vibration characteristics of tank structures. But it is difficult to estimate exactly the magnitude of the added mass because this is a fluid-structure interaction problem and is affected by the free surface, vibration modes of structural panels and the depth of water. I have developed a numerical tool of vibration analysis of 3-dimensional tank structure using finite elements for plates and boundary elements for fluid region. In the present study, the effect of added mass of containing water, the effect of structural constraint between panels on the vibration characteristics are investigated numerically and discussed. Especially a natural frequencies by the fluid interaction between 2 panels and a breath mode of the water tank are focused on.

NUMERICAL MODELING OF FLUID-STRUCTURE INTERACTIONS IN CARDIOVASCULAR MECHANICS

이상현 한국전산유체공학회 2017 한국전산유체공학회지 Vol.22 No.2

External and physiological loading of the cardiovascular system gives rise to complex mechanical interactions between the fluid(blood) and the solid(extensible vessel wall).  An understanding of such fluid-structure interactions is critical to modeling and rendering the response of the cardiovascular system to these loads.  Recent developments in code coupling techniques, including commercial codes, have generated numerical solution methodologies useful for studying cardiovascular fluid-structure interactions.  This paper presents one approach for such fluid-structure interaction(FSI) problems by utilizing a mesh-based code coupling to ANSYS.  This commercially available finite element code provides two separate fluid and structure solvers with a load-vector coupling.  An iterative algorithm is employed to perform boundary parameter transfer, interface mapping, and remeshing.  The Hagen-Poiseuille and Womersley flows in an elastic vessel are chosen as representative characteristic cardiovascular flows and numerical solutions from the FSI solver are compared to these analytical solutions.  The calculation for the Womersley flow suggest that the velocity profiles for elastic wall conditions change considerably when the inertial force is dominant in the system.  For practical application, the FSI solver is applied to elastic curved vessels with several sets of elastic moduli under a developing flow condition.  The use of a FSI approach in such a conduit results in a significant increase of wall shear stress at the inner wall in the fluid domain and an orientation change of the maximum principal stress in line with the longitudinal direction along the vessel in the structural domain.

NUMERICAL MODELING OF FLUID-STRUCTURE INTERACTIONS IN CARDIOVASCULAR MECHANICS

Sang-Hyun Lee(이상현) 한국전산유체공학회 2017 한국전산유체공학회지 Vol.22 No.2

External and physiological loading of the cardiovascular system gives rise to complex mechanical interactions between the fluid(blood) and the solid(extensible vessel wall). An understanding of such fluid-structure interactions is critical to modeling and rendering the response of the cardiovascular system to these loads. Recent developments in code coupling techniques, including commercial codes, have generated numerical solution methodologies useful for studying cardiovascular fluid-structure interactions. This paper presents one approach for such fluid-structure interaction(FSI) problems by utilizing a mesh-based code coupling to ANSYS. This commercially available finite element code provides two separate fluid and structure solvers with a load-vector coupling. An iterative algorithm is employed to perform boundary parameter transfer, interface mapping, and remeshing. The Hagen-Poiseuille and Womersley flows in an elastic vessel are chosen as representative characteristic cardiovascular flows and numerical solutions from the FSI solver are compared to these analytical solutions. The calculation for the Womersley flow suggest that the velocity profiles for elastic wall conditions change considerably when the inertial force is dominant in the system. For practical application, the FSI solver is applied to elastic curved vessels with several sets of elastic moduli under a developing flow condition. The use of a FSI approach in such a conduit results in a significant increase of wall shear stress at the inner wall in the fluid domain and an orientation change of the maximum principal stress in line with the longitudinal direction along the vessel in the structural domain.

Fluid-structure-soil interaction analysis of cylindrical liquid storage tanks subjected to horizontal earthquake loading

Kim, Jae-Min,Chang, Soo-Hyuk,Yun, Chung-Bang Techno-Press 2002 Structural Engineering and Mechanics, An Int'l Jou Vol.13 No.6

This paper presents a method of seismic analysis for a cylindrical liquid storage structure considering the effects of the interior fluid and exterior soil medium in the frequency domain. The horizontal and rocking motions of the structure are included in this study. The fluid motion is expressed in terms of analytical velocity potential functions, which can be obtained by solving the boundary value problem including the deformed configuration of the structure as well as the sloshing behavior of the fluid. The effect of the fluid is included in the equation of motion as the impulsive added mass and the frequency-dependent convective added mass along the nodes on the wetted boundary of the structure. The structure and the near-field soil medium are represented using the axisymmetric finite elements, while the far-field soil is modeled using dynamic infinite elements. The present method can be applied to the structure embedded in ground as well as on ground, since it models both the soil medium and the structure directly. For the purpose of verification, earthquake response analyses are performed on several cases of liquid tanks on a rigid ground and on a homogeneous elastic half-space. Comparison of the present results with those by other methods shows good agreement. Finally, an application example of a reinforced concrete tank on a horizontally layered soil with a rigid bedrock is presented to demonstrate the importance of the soil-structure interaction effects in the seismic analysis for large liquid storage tanks.

유체구조상호작용 해석을 이용한 풍하중에 대한광폭 온실 구조물의 구조적 안전성 평가 방법 연구

최모건,이희남 한국기계기술학회 2023 한국기계기술학회지 Vol.25 No.1

This paper proposes a method to evaluate the structural safety of a large wide-width greenhouse structure against wind load caused by a typhoon through a fluid structure interaction analysis technique. The conventional method consisted of roughly estimating the wind load based on the relevant laws and regulations, and determining safety through structural analysis. However, since the wind load changes nonlinearly according to the wind speed distribution and wind direction around the greenhouse and the external shape of the structure, there are many uncertainties in the existing structural safety evaluation method, and it is difficult to accurately determine the design margin. In this study, a systematic method was developed to accurately calculate the wind load acting on a greenhouse structure and evaluate structural safety by considering the characteristics of wind through a fluid structure interaction analysis using coupled computational fluid dynamics and computational structural mechanics. Using the proposed method, it is possible to significantly reduce the manufacturing cost because it is possible to obtain an optimal design that reduces the over-conservative design margin while securing the structural strength of the greenhouse.

Investigation of a fiber reinforced polymer composite tube by two way coupling fluid-structure interaction

Daricik, Fatih,Canbolat, Gokhan,Koru, Murat Techno-Press 2022 Coupled systems mechanics Vol.11 No.4

Fluid-Structure Interaction (FSI) modeling is highly effective to reveal deformations, fatigue failures, and stresses on a solid domain caused by the fluid flow. Mechanical properties of the solid structures and the thermophysical properties of fluids can change under different operating conditions. In this study, we investigated the interaction of [45/-45]₂ wounded composite tubes with the fluid flows suddenly pressurized to 5 Bar, 10 Bar, and 15 Bar at the ambient temperatures of 24℃, 66℃, and 82℃, respectively. Numerical analyzes were performed under each temperature and pressure condition and the results were compared depending on the time in a period and along the length of the tube. The main purpose of this study is to present the effects of the variations in fluid characteristics by temperature and pressure on the structural response. The variation of the thermophysical properties of the fluid directly affects the deformation and stress in the material due to the Wall Shear Stress (WSS) generated by the fluid flow. The increase or decrease in WSS directly affected the deformations. Results show that the increase in deformation is more than 50% between 5 Bar and 10 Bar for the same operating condition and it is more than 100% between 5 Bar and 15 Bar by the increase in pressure, as expected in terms of the solid mechanics. In the case of the increase in the temperature of fluid and ambient, the WSS and Von Mises stress decrease while the slight increases of deformations take place on the tube. On the other hand, two-way FSI modeling is needed to observe the effects of hydraulic shock and developing flow on the structural response of composite tubes.