• 제목/요약/키워드: linear numerical analysis

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수치해석법을 활용한 압축부재 성능 해석의 가능성에 대한 연구 (The study on the possibility of performance analysis for the compressive member using the numerical method)

  • 김광철
    • 한국가구학회지
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    • 제21권1호
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    • pp.26-39
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    • 2010
  • This is a leading study to replace the structural analysis methodology on the specific traditional joint by a numerical analysis. Tests were carried out to test the compressive methodologies with the numerical results. The Japanese larch was used as a sample. The Orthotropic property of wood was specifically considered for the finite element numerical analysis. Linear numerical analysis and non-linear numerical analysis for the BEAM element and the two SOLID elements of ANSYS were used to analyze the compressive performance. In addition, more finely divided elements were used to raise the accuracy of the numerical result. Finally, the statistically significant differences were tested between that of the analytical and numerical results. It could be concluded that the SOLID 64 element shows the most optimum result when the non-linear analysis with the more finely divided element was used. However, finely dividing of the element is a considerable time consuming process, and it is quite difficult to raise the accuracy of the non-linear numerical analysis. Therefore, if considering the vertical displacement to be of the only interest, the BEAM element is more efficient than the SOLID element because the BEAM element is reflected as a simple line, which is less time consuming and difficult in dividing the elements. But, the BEAM element cannot accurately model the knot as a strength defect factor which is an important property in the orthotropic property of wood. Therefore, the SOLID element should be used to model the strength defect factor, knot, as it can be efficiently applied on the structural size flexure member which could be more strongly effected by the knot. In addition, it is useful at times when the failure types of members are to be more closely investigated, as the SOLID element is able to examine the local stress distribution of the member. The conclusion drawn by this study is of the good concordance between analytical results and numerical results of compressive wood members, but how orthotropic properties should only be considered. The numerical analysis on the specific Korean traditional joints will be based on the current study results.

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NUMERICAL STUDY OF THE SERIES SOLUTION METHOD TO ANALYSIS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

  • ASIYA ANSARI;NAJMUDDIN AHMAD;ALI HASAN ALI
    • Journal of applied mathematics & informatics
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    • 제42권4호
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    • pp.899-913
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    • 2024
  • In this article, the Series Solution Method (SSM) is employed to solve the linear or non-linear Volterra integro-differential equations. Numerous examples have been presented to explain the numerical results, which is the comparison between the exact solution and the numerical solution, and it is found through the tables. The amount of error between the exact solution and the numerical solution is very small and almost nonexistent, and it is also illustrated through the graph how the exact solution completely applies to the numerical solution. This proves the accuracy of the method, which is the Series Solution Method (SSM) for solving the linear or non-linear Volterra integro-differential equations using Mathematica. Furthermore, this approach yields numerical results with remarkable accuracy, speed, and ease of use.

초음파 모터의 설계와 유한요소해석 (Design and Finite Element Analysis of an Ultrasonic Motor.)

  • 이석희;이창환;정현교;이중건;홍국선
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부A
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    • pp.79-81
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    • 1998
  • This paper presents analytic and numerical analysis of ultrasonic motor, specially linear motion ultrasonic machine. For rough estimation of characteristics of linear ultrasonic motor, the analytic method is used and a three-dimensional numerical analysis with experimental material data using ABAQUS, is performed. The validity of analysis is confirmed by comparing experimental results with numerical ones.

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선형 이산계의 동적응답을 위한 스펙트럴해석법 (Spectral Analysis Method for the Dynamic Response of Linear Discrete Systems)

  • 김성환;이우식
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1654-1659
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    • 2003
  • This paper introduces a fast Fourier transform (FFT)-based spectral analysis method for the transient responses as well as the steady-state responses of linear discrete systems. The force vibration of a viscously damped three-DOF system is considered as the illustrative numerical example. The proposed spectral analysis method is evaluated by comparing with the exact analytical solutions as well as with the numerical solutions obtained by the Runge-Kutta method.

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경계요색법(境界要索法)에 의한 투과잠제(透過潛堤)의 해석기법(解析技法) (Permeable Breakwaters Analysis by Using Boundary Element Method)

  • 김남현;淹川淸;최한규
    • 산업기술연구
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    • 제10권
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    • pp.69-72
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    • 1990
  • In this paper the numerical method for the study of wave reflection from and transmission through submerged permeable breakwaters using the boundary element method is developed. The numerical analysis technique is based on the wave pressure function instead of velocity potential because it is difficult to define the velocity potential in the each region arising the energy dissipation. Also, the non-linear energy dissipation within the submerged porous structure is simulated by introducing the linear dissipation coefficient and the tag mass coefficient equivalent to the non-linear energy dissipation. For the validity of this analysis technique, the numerical results obtained by the present boundary element method are compared with those obtained by the other computation method. Good agreements are obtained and so the validity of the present numerical analysis technique is proved.

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준설매립지반의 자중압밀을 고려한 2차원 축대칭 비선형 유한변형 압밀 수치해석 모델 개발 (Development of a numerical model for 2-D axisymmetric non-linear finite strain consolidation considering self-weight consolidation of dredged soil-)

  • 곽태훈;윤상봉;안용훈;최은석;최항석
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2010년도 추계 학술발표회 2차
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    • pp.3-12
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    • 2010
  • Vertical drains have been commonly used to increase the rate of the consolidation of dredged material. The installation of vertical drains additionally provides a radial flow path in the dredged foundation. The objective of this study develops a numerical model for 2-D axisymmetric non-linear finite strain consolidation considering self-weight consolidation to predict the effect of vertical drain in dredged foundation which is in process of self-weight consolidation. The non-linear relationship between the void ratio and effective stress and permeability during consolidation are taken into account in the numerical model. The results of the numerical analysis are compared with that of the self-weight consolidation test in which an artificial vertical drain is installed. In addition, the numerical model developed in this paper is the simplified analytical method proposed by Ahn et, al (2010). The comparisons show that the developed numerical model can properly simulate the consolidation of the dredged material with the vertical drains installed.

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복사열손실이 있는 비예혼합 튜브형 화염에 관한 수치 해석적 연구 (A Numerical Study of Opposed Nonpremixed Tubular Flames with Radiative Heat Loss)

  • 박현수;유춘상
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 2015년도 제51회 KOSCO SYMPOSIUM 초록집
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    • pp.247-250
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    • 2015
  • The characteristics of opposed nonpremixed tubular flames with radiation heat loss are investigated using linear stability analysis and 2-D numerical simulations. Two extinction limits, as the $Damk{\ddot{o}}hler$ number is small or large, are confirmed using finite difference method with a simple continuation method. It is verified that the results of linear stability analysis predict the number of flame cells and the critical Da starting cellular instability or amplification of temperature near both extinction limits with good resolution.

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Comparison of Numerical Analysis Methods of APro for the Total System Performance Assessment of a Geological Disposal System

  • Hyun Ho Cho;Hong Jang;Dong Hyuk Lee;Jung-Woo Kim
    • 방사성폐기물학회지
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    • 제21권1호
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    • pp.165-173
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    • 2023
  • Various linear system solvers with multi-physics analysis schemes are compared focusing on the near-field region considering thermal-hydraulic-chemical (THC) coupled multi-physics phenomena. APro, developed at KAERI for total system performance assessment (TSPA), performs a finite element analysis with COMSOL, for which the various combinations of linear system solvers and multi-physics analysis schemes should to be compared. The KBS-3 type disposal system proposed by Sweden is set as the target system and the near-field region, which accounts for most of the computational burden is considered. For comparison of numerical analysis methods, the computing time and memory requirement are the main concerns and thus the simulation time is set up to one year. With a single deposition hole problem, PARDISO and GMRES-SSOR are selected as representative direct and iterative solvers respectively. The performance of representative linear system solvers is then examined through a problem with an increasing number of deposition holes and the GMRES-SSOR solver with a segregated scheme shows the best performance with respect to the computing time and memory requirement. The results of the comparative analysis are expected to provide a good guideline to choose better numerical analysis methods for TSPA.

유기반도체 박막증착을 위한 선형증착원의 유체유동해석 (Analysis of Fluid Flow in the Linear Cell Source for Organic Semiconductor Thin Film Deposition)

  • 곽인철;양영수;최범호;김영미
    • 한국정밀공학회지
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    • 제26권10호
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    • pp.74-80
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    • 2009
  • This paper presents a study on fluid flow analysis of organic semiconductor thin film deposition process using the computational numerical method. In the production process, the thickness of deposited organic thin film depends on distribution of nozzle size in the linear cell system, so we analyze to decide the optimal nozzle system for uniform thickness of organic thin film. The results of deposited thickness of thin film by numerical analysis are in good agreement with those of the experimental measurements.

Evaluation of numerical procedures to determine seismic response of structures under influence of soil-structure interaction

  • Tabatabaiefar, Hamid Reza;Fatahi, Behzad;Ghabraie, Kazem;Zhou, Wan-Huan
    • Structural Engineering and Mechanics
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    • 제56권1호
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    • pp.27-47
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    • 2015
  • In this study, the accuracy and reliability of fully nonlinear method against equivalent linear method for dynamic analysis of soil-structure interaction is investigated comparing the predicted results of both numerical procedures with the results of experimental shaking table tests. An enhanced numerical soil-structure model has been developed which treats the behaviour of the soil and the structure with equal rigour. The soil-structural model comprises a 15 storey structural model resting on a soft soil inside a laminar soil container. The structural model was analysed under three different conditions: (i) fixed base model performing conventional time history dynamic analysis, (ii) flexible base model (considering full soil-structure interaction) conducting equivalent linear dynamic analysis, and (iii) flexible base model performing fully nonlinear dynamic analysis. The results of the above mentioned three cases in terms of lateral storey deflections and inter-storey drifts are determined and compared with the experimental results of shaking table tests. Comparing the experimental results with the numerical analysis predictions, it is noted that equivalent linear method of dynamic analysis underestimates the inelastic seismic response of mid-rise moment resisting building frames resting on soft soils in comparison to the fully nonlinear dynamic analysis method. Thus, inelastic design procedure, using equivalent linear method, cannot adequately guarantee the structural safety for mid-rise building frames resting on soft soils. However, results obtained from the fully nonlinear method of analysis fit the experimental results reasonably well. Therefore, this method is recommended to be used by practicing engineers.