• Title/Summary/Keyword: finite element solutions

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Three-Dimensional Vibration Analysis of Solid and Hollow Hemispheres Having Varying Thickness (변두께를 갖는 두꺼운 반구형 쉘과 반구헝체의 3차원적 진동해석)

  • 심현주;장경호;강재훈
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.2
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    • pp.197-206
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    • 2003
  • A three-dimensional (3-D) method of analysis is presented for determining the free vibration frequencies and mode shapes of solid and hollow hemispherical shells of revolution of arbitrary wall thickness having arbitrary constraints on their boundaries. Unlike conventional shell theories, which are mathematically two-dimensional (2-D), the present method is based upon the 3-D dynamic equations of elasticity. Displacement components μ/sub Φ/, μ/sub z/, and μ/sub θ/ in the meridional, normal, and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in θ, and algebraic polynomials in the Φ and z directions. Potential (strain) and kinetic energies of the hemispherical shells are formulated, and the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies obtained by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Novel numerical results are presented for solid and hollow hemispheres with linear thickness variation. The effect on frequencies of a small axial conical hole is also discussed. Comparisons are made for the frequencies of completely free, thick hemispherical shells with uniform thickness from the present 3-D Ritz solutions and other 3-D finite element ones.

Assessment of Equivalent Heights of Soil for the Lateral Earth Pressure Against Retaining Walls Due to Design Truck Load by 3D Numerical Analysis (3차원 수치해석에 의한 표준트럭하중에 의해 옹벽에 작용하는 수평토압의 등가높이 산정)

  • Seo, Seunghwan;Jin, Hyunsik;Kim, Dongwook;Chung, Moonkyung
    • Journal of the Korean Geosynthetics Society
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    • v.18 no.4
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    • pp.75-85
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    • 2019
  • The lateral load from traffic depends on standard truck's axle loads and locations, loading distance from the inner wall. The method of limit state design has been adopted and used for design of roads in the Republic of Korea since 2015. The concept of equivalent height of soil accounting for traffic loading is often used for design of retaining walls to quantify the traffic loads transmitted to the inner wall faces. Due to the different characteristics of the standard design trucks between Korea and US (AASHTO), the direct use of the guidelines from AASHTO LRFD leads to incorrect estimation of traffic load effects on retaining walls. This paper presents the results of evaluation of equivalent height of soil to reflect the standard truck of the nation, based on the findings from analytical solutions using 3D finite element method. Compare to US, the standard truck loading has a structure where the axle load is concentrated so that the equivalent load height is estimated to be slightly larger than AASHTO for lower retaining wall height. It would be reasonable to present the equivalent load height in Korea more conservatively than AASHTO in terms of securing long term stability of the retaining wall structure.

Characteristic Analysis of Permanent Magnet Linear Generator by using Space Harmonic Method (공간고조파법을 이용한 영구자석 선형 발전기의 특성 해석)

  • Seo, Seong-Won;Choi, Jang-Young;Kim, Il-Jung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.1
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    • pp.688-695
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    • 2017
  • This paper deals with characteristics analysis of a permanent magnet (PM) linear generator using analytical methods for wave energy harvesting. The wave energy is carried out from the movement of a yo-yo system. A linear generator using permanent magnets to generate a magnetic force itself does not require a separate power supply and has the advantage of simple maintenance. In addition to the use of a rare earth, a permanent magnet having a high-energy density can be miniaturized and lightweight, and can obtain high energy-conversion efficiency. We derived magnetic field solutions produced by the permanent magnet and armature reaction based on 2D polar coordinates and magnetic vector potential. Induced voltage is obtained via arbitrary sinusoidal input. In addition, electrical parameters are obtained, such as back-EMF constant, resistance, and self- and mutual-winding inductances. The space harmonic method used in this paper is confirmed by comparing it with finite element method (FEM) results. These facilitate the characterization of the PM-type linear generator and provide a basis for comparative studies, design optimization, and machine dynamic modeling.

A Study on the Strength Evaluation Method of Plate Structures with Penetration-holes (관통구를 갖는 판구조물의 강도평가 방법에 관한 연구)

  • Kim, Ul-Nyeon;Jang, Jun-Tae
    • Journal of the Society of Naval Architects of Korea
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    • v.54 no.6
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    • pp.476-484
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    • 2017
  • The purpose of this paper is to verify the structural integrity of a region with numerous penetration-holes in offshore structures such as semi-submersible rig and FPSO. In order to effectively check the yielding and buckling strength of plate members with penetration-holes, a screening analysis program was developed with the FE analysis tool to generate fine meshed model using the theoretical and analysis methods. When a hole is appeared in the plate structure members, the flow of stress is altered such that concentrations of stress form near the hole. Stress concentrations are of concern during both preliminary and detail design and need to be addressed from the perspectives of strength. To configure the geometrical shape, very fine meshed FE analysis is needed as the most accurate method. However, this method is practically impossible to apply for the strength verifications for all perforated plates. In this paper, screening analysis method was introduced to reduce analysis tasks prior to detailed FE analysis. This method is applied to not only the peak stress calculation combined stress concentration factor with nominal stress but also nominal equivalent stress calculation considering cutout effects. The areas investigated by very fine meshed analysis were to be chosen through screening analysis without any reinforcements for penetration-holes. If screening analysis results did not satisfy the acceptance criteria, direct FE analysis method as the 2nd step approach were applied with one of the coarse meshed model considering hole or with the very fine meshed model considering the hole shape and size. In order to effectively perform the local fine meshed analysis, automatic model generating program was developed based on the MSC/PATRAN which is pre-post FE analysis program. Buckling strength was also evaluated by Common Structure Rule (CSR) adopted by IACS as the stress obtained from very fine meshed FE analysis. Due to development of the screening analysis program and automatic FE modeling program, it was able to reduce the design periods and structural analysis costs.

A Study on Inelastic Lateral-Torsional Buckling of Stepped I-Beams Subjected to Pure Bending (균일모멘트를 받는 계단식 I형보의 비탄성 횡-비틀림 좌굴에 관한 연구)

  • Kim, Jong Min;Kim, Seung Jun;Park, Jong Sup;Kang, Young Jong
    • Journal of Korean Society of Steel Construction
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    • v.20 no.2
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    • pp.237-246
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    • 2008
  • The cross-sections of continuous multi-span beams sometimes suddenly increase, or become stepped, at the interior supports of continuous beams to resist high negative moments. The three-dimensional finite-element program ABAQUS (2006) was used to analytically investigate the inelastic lateral-torsional buckling behavior of stepped beams subjected to pure bending moment and resulted in the development of design equations. The flanges of the smaller cross-section were fixed at 30.48 by 2.54 cm, whereas the width and/or thickness of the flanges of the larger cross-section varied. The web thickness and height of beam was kept at 1.65 cm and 88.9 cm, respectively. The ratios of the flange thickness, flange width, and stepped length of beams are considered analytical parameters. Two groups of 27 cases and 35 cases, respectively, were analyzed for double and single stepped beams. The combined effects of residual stresses and geometrical imperfection on inelastic lateral-torsional buckling of beams are considered. First, the distributions of residual stress of the cross-section is same as shown in Pi, etc (1995), and the initial geometric imperfection of the beam is set by central displacement equal to 0.1% of the unbraced length of beam. The new proposed equations definitely improve current design methods for the inelastic LTB problem and increase efficiency in building and bridge design. The proposed solutions can be easily used to develop new design equation for inelastic LTB resistance of stepped beams subjected to general loading condition such as a concentrated load, a series of concentrated loads or uniformly distributed load.

Experimental Investigation on Torsional Analysis and Fracture of Tripod Shaft for High-speed Train (고속열차용 트리포드 축의 비틀림 해석 및 파단에 대한 실험적 연구)

  • Lee, Joo Hong;Kim, Do Sik;Nam, Tae Yeon;Lee, Tae Young;Cho, Hae Yong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.11
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    • pp.979-986
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    • 2016
  • The tripod shafts of constant-velocity joint are used in both the trains KTX and KTX-sanchon. It is an important component that connects the motor reduction unit and the axle reduction unit in a power bogie. The tripod shaft not only transmits drive and brake torque in the rotational direction, but also slides in the axial direction. If the drive system is loaded with an excessive torque, the fuse part of the shaft will be fractured firstly to protect the other important components. In this study, a rig was developed for conducting torsion tests on the tripod shaft, which is a type of mechanical fuse. The tripod shafts were subjected to torsional fracture test and torsional fatigue test on the rig. The weak zone of the tripod shaft was identified, and its fatigue life was predicted using finite element analysis (FEA). After analyzing the FEA results, design solutions were proposed to improve the strength and fatigue life of the tripod shaft. Furthermore, the deterioration trend and time for failure of the tripod shaft were verified using the hysteresis loops which had been changed with the advancement of the torsional fatigue test.

2.5 Dimensional EM Modeling considering Horizontal Magnetic Dipole Source (수평 자기쌍극자 송신원을 이용한 2.5차원 전자탐사 모델링)

  • Kwon Hyoung-Seok;Song Yoonho;Son Jeong-Sul;Suh Jung-Hee
    • Geophysics and Geophysical Exploration
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    • v.5 no.2
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    • pp.84-92
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    • 2002
  • In this study, the new modeling scheme has been developed for recently designed and tested electromagnetic survey, which adapts horizontal magnetic dipole with $1\;kHz\~1\;MHz$ frequency range as a source. The 2.5-D secondary field formulation in wavenumber domain was constructed using finite element method and verified through comparing results with layered-earth solutions calculated by integral equations. 2-D conductive- and resistive-block models were constructed for calculating electric field, magnetic field and impedance - the ratio of electric and magnetic fields which are orthogonal each other. This study showed that electric field and impedance are superior in identifying 2-D isolated-body model to magnetic field. In particular, impedance gives more stable results than electric field with similar spatial resolving power, because electric field is divided by magnetic field in impedance. Thus the impedance analysis which uses electric and magnetic fields together would give better result in imaging the shallow anomalies than conventional EM method.

Analysis of Influence Factors for Remediation of Contaminated Soils Using Prefabricated Vertical Drains (연직배수재를 이용한 오염지반 복원의 영향인자 분석)

  • Park, Jeongjun;Shin, Eunchul
    • Journal of the Korean GEO-environmental Society
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    • v.9 no.2
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    • pp.39-46
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    • 2008
  • Due to the growth in industrialization, potential hazards in subsurface environments are becoming increasingly significant. The extraction of the contaminant from the soil and movement of the water are restricted due to the low permeability and adsorption characteristics of the reclaimed soils. There are a number of approaches to in-situ remediation that are used in contaminated sites for removing contaminants. These include soil flushing, dual phase extraction, and soil vapor extraction. Among these techniques, soil flushing was the focus of the investigation in this paper. Incorporated technique with PVDs has been used for dewatering from fine-grained soils for the purpose of ground improvement by means of prefabricated vertical drain systems. The laboratory model tests were performed by using the flushing tracer solutions for silty soils and recorded the tracer concentration changes with the elapsed time and flow rates. The modeling was intended to predict the effectiveness and time dependence of the remediation process. Modeling has been performed on the extraction, considering tracer concentration and laboratory model test characteristics. The computer model used herein are SEEP/W and CTRAN/W, this 2-D finite element program allows for modeling to determine hydraulic head and pore water pressure distribution, efficiency of remediation for the subsurface environment. It is concluded that the coefficient of permeability of contaminated soil is related with vertical velocity and extracted flow rate. The vertical velocity and extracted flow rate have an effect on dispersivity and finally are played an important role in-situ soil remediation.

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Prediction System of Hydrodynamic Circulation and Freshwater Dispersion in Mokpo Coastal Zone (목포해역의 해수유동 및 담수확산 예측시스템)

  • Jung, Tae-Sung;Kim, Tae-Sik
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.11 no.1
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    • pp.13-23
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    • 2008
  • In coastal region, eutrophication, Do deficit and red tide are frequently occurred by influx of fresh water. When the fresh water containing pollutants is discharged into the sea, the surrounding water is contaminated by dispersion of freshwater flowing into coastal waters. The prediction and analysis about the dispersion process of the discharged fresh water should be conducted. A modeling system using GUI was developed to simulate hydrodynamic flow and fresh water dispersion in coastal waters and to analyze the results efficiently. The modeling module of the system includes a tide model using a finite element method and a fresh water dispersion model using a particle-tracking method. This system was applied to predict the tidal currents and fresh water dispersion in Mokpo coastal zone. To verify accuracy of the hydrodynamic model, the simulation results were compared with observed sea level and time variations of tidal currents showing a good agreement. The fresh water dispersion was verified with observed salinity distribution. The dispersion model also was verified with analytic solutions with advection-diffusion problems in 1-dimensional and 2-dimensional simple domain. The system is operated on GUI environment, to ease the model handling such as inputting data and displaying results. Therefore, anyone can use the system conveniently and observe easily and accurately the simulation results by using graphic functions included in the system. This system can be used widely to decrease the environmental disaster induced by inflow of fresh water into coastal waters.

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Assessment of Equivalent Heights of Soil for the Lateral Earth Pressure Against Retaining Walls Due to Design Truck Load (표준트럭하중에 의해 옹벽에 작용하는 수평토압의 등가높이 산정)

  • Kim, Duhwan;Jin, Hyunsik;Seo, Seunghwan;Park, Jaehyun;Kim, Dongwook;Chung, Moonkyung
    • Journal of the Korean Geosynthetics Society
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    • v.17 no.4
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    • pp.119-128
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    • 2018
  • Limit state design has been implemented in Korea since 2015; however, there exists no specification of lateral load determination on retaining wall due to the Korean standard traffic load on retaining wall's backfill surface. The lateral load from traffic depends on lane number, standard truck's axle loads and locations, loading distance from the inner wall. The concept of equivalent height of soil accounting for traffic loadings is typically used for design of retaining walls to quantify the traffic loads transmitted to the inner wall faces. Due to the different characteristics of the standard design trucks between Korea and US (AASHTO), the direct use of the guidelines from AASHTO LRFD leads to incorrect estimation of traffic load effects on retaining walls. This paper presents the results of evaluation of equivalent height of soil to reflect the Korean standard truck, based on the findings from analytical solutions using Bounessq's theory and numerical assessment using 2D finite element method. Consequently, it was found that the equivalent heights of soil from the Korean standard truck load were lower for lower retaining wall height.