• Title/Summary/Keyword: Quasi-Three Dimensional Finite Element Method

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Quasi-Three Dimensional Calculation of Compressible Flow in a Turbomachine considering Irreversible H-S Flow (터어보 기계(機械) 내부(內部)의 비가역(非可逆) H-S유동(流動)을 고려(考慮)한 준(準)3차원(次元) 유동해석(流動解析))

  • Cho, Kang-Rae;Oh, Jong-Sik
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.3 no.4
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    • pp.241-249
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    • 1991
  • A quasi-three dimensional calculation method is presented on the basis of Wu's idea using finite element methods. In B-B flow the governing equations are cast into a single equation to overcome the restriction of the type of turbomachinery, and Kutta condition is exactly assured by introducing a combination of two kinds of stream functions. In H-S flow a dissipative force which is assumed to be opposed to the relative velocity is added to the governing equation for a consistent loss model. The entropy change along each streamline is then calculated by assuming that the dissipative force may be a force coming from laminar viscous stresses with inviscid velocity distributions. Both the flow solvers are combined to build a three-dimensional flow field through a few iterations. For an effect of the distortion of H-S flow surface the body forces are computed after each B-B flow calculation is finished. Mizuki's centrifugal impellers are tested numerically. The reliability of the numerical solution compared with experimental data is guaranteed.

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A Study on the Quasi-3-Dimensional Compressible Flow Calculation by Introduction of Viscous Loss Model in Axial-Flow Compressor (점성 손실모델 도입에 의한 축류 압축기 준 3차원 압축성 유동해석)

  • 조강래;이진호;김주환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.5
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    • pp.1044-1051
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    • 1989
  • A numerical calculation is carried out for the analysis of 3-dimensional compressible flow field in axial-flow rotating blades by using finite element method. The calculation of flow in impellers plays a dominant role in the theoretical research and design of turbomachines. Three-dimensional flow fields can be obtained by the quasi-three-dimensional iterative calculation of the flows both on blade-to-blade stream surfaces and hub-to-shroud stream surfaces with the introduction of viscous loss model in order to consider a loss due to viscosity of fluid. In devising the loss model, four primary sources of losses were identified: (1) blade profile loss (2) end wall loss (3) secondary flow loss (4) tip-leakage loss. For the consideration of an axially parabolic distribution of loss, the results of present calcullation are well agreed with the results by experiment, thus the introduction of loss model is proved to be valid.

Quasi-3-Dimensional Analysis of Compressible Flow within a Blade Row Including Viscous Effect in H-S Flow (H-S 유동의 점성효과를 고려한 원심압축기 회전차내부의 준3차원 유동해석)

  • 오종식;조강래
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.12
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    • pp.3287-3296
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    • 1994
  • For the numerical computation of three-dimensional compressible flow field within a blade row in a centrifugal compressor, a quasi 3-dimensional solver which combines a reversible B-B flow and an irreversible H-S flow using finite element methods was developed. In a reversible B-B flow, the governing coordinates are modified in order to be applied to any type of turbomachinery, and two kinds of stream functions are introduced in order to make the Kutta condition exactly satisfied. In an irreversible H-S flow, the changes of entropy in the irreversible governing equations are determined not by empirical source but by the theoretical treatment of dissipation forces. The dissipation forces are obtained from the distribution of shear stresses in the flow passage which are given from the wall shear stresses using the exponential functions. A more accurate quasi-3-dimensional solver is established where the effect of body forces is involved in the non-axisymmetric H-S flow. Some numerical results obtained from authors' previous studies for axial flow machines assure that the present method is able to predict well as long as the flow is subsonic and not under strong viscous effect.

Numerical Analysis of Extrusion Processes of Particle Filled Plastic Materials Subject to Slip at the Wall (미끄럼현상을 갖는 입자충전 플라스틱재료의 압출공정 수치해석)

  • 김시조;권태헌
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.10
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    • pp.2585-2596
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    • 1994
  • Many particle filled materials like Poweder/Binder mixtures for poweder injection moldings, have complicated rheological behaviors such as an yield stress and slip phenomena. In the present study, numerical simulation programs via a finite element method and a finite difference method were developed for the quasi-three-dimensional flows and the two-dimensional flow models, respectively, with the slip phenomena taken into account in terms of a slip velocity. In order to qualitatively understand the slip effects, typical numerical results such as vector plots, pressure contours in the cross-channel plane, and isovelocity controus for the down-channel direction were discussed with respect to various slip coefficients. Slip velocities along the boudary surfaces were also investigated to find the effects of the slip coefficient and processing conditions on the overall flow behavior. Based on extensive numerical calculations varying the slip coefficients, pressure gradient, aspect ratio, and power law index, the screw characteristics of the extrusion process were studied in particular with comparisons between the slip model and non-slip model.

A Simplified Method for Determining Modal Strain Energy Release Rate of Free-Edge Delaminations in Laminated Composite (적층복합재의 자유단 박리에 대한 모드별 스트레인 에너지해방률의 간이계산법)

  • Kim, Taek-Hyun;Oh, Taek-Yul;Kim, In-Kweon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.3
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    • pp.423-429
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    • 1997
  • A simplified method for determining the mode components of the strain energy release rate of free-edge delaminations in laminated composite is proposed. The interlaminar stresses are evaluated as an interface moment and interface shear forces that are obtained from the equilibrium equations at the interface between the adjacent layers. Deformation of an edge-delaminated laminate is calculated by using a generalized quasi-three dimensional classical laminated plate theory developed by the authors. The analysis provides closed-form expression for the three components of the strain energy release rate. Comparison of results with a finite element solution using the virtual crack closure technique shows good agreement. In the present study, laminated composite with stacking sequences of [30/-30/90]$_{s}$ were examined. The simple nature of the method makes it suitable for primary design analysis for the delaminations of laminated composite.e.

Calculation of three-dimensional flow in turbo impellers (터어보 回轉車 內의 3次元 流動의 數値計算)

  • 조강래;방영석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.751-757
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    • 1986
  • A three-dimensional calculation is presented on the basis of Wu's theory of quasi-three-dimensional flow in turbo impellers. For the calculation of flow on the Blade-to-Blade stream surface, the finite element method is applied. In this work it is shown that the Kutta condition and the periodicity can be satisfied rationally by the technique of combining a basic through flow in the flow passage and a circulating flow around the blade. The results of numerical calculation are compared with those of the exact solution of the Gostelow's straight cascade and of the experimental results of pressure distribution on the rotating blade surface. It is found that the numerical solutions are in good agreement with the theoretical solution and the experimental results.

Lateral performance of CRCS connections with tube plate

  • Jafari, Rahman;Attari, Nader K.A.;Nikkhoo, Ali;Alizadeh, Saeid
    • Steel and Composite Structures
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    • v.32 no.1
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    • pp.37-57
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    • 2019
  • This paper presents experimental and analytical studies to evaluate the cyclic behaviour of Circular Reinforced Concrete column Steel beam (CRCS) connections. Two 3/4-scale CRCS specimens are tested under quasi-static reversed cyclic loading. Specimens were strengthened with a tube plate (TP) and a steel doubler plate (SDP). Furthermore; nine interior beam-through type RCS connections are simulated using nonlinear three-dimensional finite element method using ABAQUS software and are verified with experimental results. The results revealed that using the TP improves the performance of the panel zone by providing better confinement to the concrete. Utilizing the TP at the panel zone may absorb and distribute stress in this region. Results demonstrate that TP can be used instead of SDP. Test records indicate that specimens with TP, with and without SDP maintained their maximum strength up to 4% drift angle, satisfying the recommendation given by AISC341-2016 for composite special moment-resisting frames.

Back EMF Design of an AFPM Motor using PCB Winding by Quasi 3D Space Harmonic Analysis Method

  • Jang, Dae-Kyu;Chang, Jung-Hwan;Jang, Gun-Hee
    • Journal of Electrical Engineering and Technology
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    • v.7 no.5
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    • pp.730-735
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    • 2012
  • This paper presents a method to design the waveform of a back electromotive force (back EMF) of an axial flux permanent magnet (AFPM) motor using printed circuit board (PCB) windings. When the magnetization distribution of permanent magnet (PM) is given, the magnetic field in the air gap region is calculated by the quasi three dimensional (3D) space harmonic analysis (SHA) method. Once the flux density distribution in the winding region is determined, the required shape of the back EMF can be obtained by adjusting the winding distribution. This can be done by modifying the distance between patterns of PCB to control the harmonics in the winding distribution. The proposed method is verified by finite element analysis (FEA) results and it shows the usefulness of the method in eliminating a specific harmonic component in the back EMF waveform of a motor.

Prediction of through the width delamination growth in post-buckled laminates under fatigue loading using de-cohesive law

  • Hosseini-Toudeshky, Hossein;Goodarzi, M. Saeed;Mohammadi, Bijan
    • Structural Engineering and Mechanics
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    • v.48 no.1
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    • pp.41-56
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    • 2013
  • Initiation and growth of delamination is a great concern of designers of composite structures. Interface elements with de-cohesive constitutive law in the content of continuum damage mechanics can be used to predict initiation and growth of delamination in single and mixed mode conditions. In this paper, an interface element based on the cohesive zone method has been developed to simulate delaminatoin growth of post-buckled laminate under fatigue loading. The model was programmed as the user element and user material by the "User Programmable Features" in ANSYS finite element software. The interface element is a three-dimensional 20 node brick with small thickness. Because of mixed-mode condition of stress field at the delamination-front of post-buckled laminates, a mixed-mode bilinear constitutive law has been used as user material in this model. The constitutive law of interface element has been verified by modelling of a single element. A composite laminate with initial delamination under quasi-static compressive Loading available from literature has been remodeled with the present approach. Moreover, it will be shown that, the closer the delamination to the free surface of laminate, the slower the delamination growth under compressive fatigue loading. The effects of laminate configuration on delamination growth are also investigated.

A study on the estimate of the angular distortion for a fillet weldment (필릿 용접부의 각변형량 예측에 관한 연구)

  • ;;;Lee, S. H.;Cho, S. H.
    • Journal of Welding and Joining
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    • v.15 no.4
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    • pp.63-69
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    • 1997
  • Welding distortion is more serious problem than any other problems caused by welding process, especially, in the heavy-industrial place. These welding distortions are caused by nonuniform heating and cooling of metal during and after welding operations. And these distortion quantities are must be known to worker in production line because distorions are important role in assembling part. Therefore an analytical model to explain and predict the welding distortion are needed. A numerical analysis of welding distortion which is inelastic behavior of weldment would require the three dimensional calculation. But computing time and memory would be very large, and the resulting cost might be unacceptable. Therefore we use a numerical technique for two dimensional analysis in the section normal to the weld direction of weldment under an assumption of quasi-stationary conditions. But the result of the calculation under two dimensional(plane strain) assumption was not satisfied as compared with experimental result. This paper proposed a technique for analysing the welding angular distortion by using a constraint boundary condition on the two dimensional finite element model. The simulation results revealed that the constraint boundary model could more reasonably describe the welding distortion than the plane strain model did.

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