• Title/Summary/Keyword: Convergency

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Nonlinear Analysis of End-to-End Anastomosis Using Sub-modeling (Sub-modeling을 이용한 end-to-end 문합의 비선형 해석)

  • 한근조;안성찬;심재준
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.2
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    • pp.192-198
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    • 2003
  • A finite element analysis of end-to-end artery/PTFE anastomosis has been presented in this study to evaluate the distribution of compliance and stresses in the vicinity of the anastomosis due to any mismatch in compliance characteristics. The artery wall was assumed to be made of linear isotropic material in this simplified model and a nonlinear analysis and convergency study with respect to increasing meshed element numbers were performed with a mean artery pressure loading of the artery-PTFE model. Also, sub-modeling method was Introduced to progress the accuracy of the finite element analysis. The results are as follow : 1. A hypercompliant zone on the artery side was observed around 4.Omm from the anastomosis and a high hoop stresses in the wall of artery and PTFE was dominant. 2. An artery displays large deformation so that nonlinear analysis and sub-modeling method was used. 3. An anastomosis with the thinner thickness and larger diameter PTFE (B type) could reduce the compliance disagreement.

A Study on an Effective Higher-Order Taylor-Galerkin Method for the Analysis of Structural Dynamics (동적 해석을 위한 효과적 고차 Taylor Galerkin법에 관한 연구)

  • 윤성기;박상훈
    • Journal of KSNVE
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    • v.3 no.4
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    • pp.353-359
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    • 1993
  • In this study, the Taylor-Galerkin method is modified to take into consideration the third order term in the Taylor series of the fundamental variable. In the Taylor-Galerkin method, after expressing the governing equation of motion in conservation form, the temporal discretization is done first and then spatial discretization follows in contrast to the conventional approaches. A predictor-corrector type algorithm has been developed previously by the same author. A new computationally efficient direct algorithm is proposed in this study. A study on convergency and accuracy of the solution is carried out. Numerical examples show that this new algorithm exhibits the same order of accuracy with less computational effort.

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Channel Equalization Characteristic of Lattice Filter in OFDM Signal (Lattice 필터에 의한 OFDM 신호의 채널 등화 특성)

  • 조상현;이우재;신위재;주창복
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2001.06a
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    • pp.45-48
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    • 2001
  • In this paper, the characteristic of the equalizer using Lattice filter was investigated in channel ISI (Inter-Symbol Interference) in OFDM (orthogonal frequency division multiplexing) system. The equalizer using lattice filter has more fast convergence and little equalization error characteristic in two number of tap by orthogonal effect of each tap than another equalizers. The filter coefficient convergency and static BER (bit error ratio) characteristic was analysed by computer simulation. In this paper, it is shown that the equalizer using lattice filter has the better performance than a equalizer which makes use of another equalization method.

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An Analysis of Results of the Creative Attitude Scale in Mathematics (수학에서 창의적 태도의 측정 결과 분석)

  • Kim Boo-Yoon;Lee Ji-Sung
    • The Mathematical Education
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    • v.45 no.2 s.113
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    • pp.155-163
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    • 2006
  • In this paper, we focus on the analysis of the results of CAS-K (Creative Attitude Scale-Korea) including 33 items of 7 factors. Using the analysis gives us the information about students' creative attitude for each factor. We introduce three methods of the analysis about the results of CAS-K; total scores analysis, mean value of each factor analysis, and CAS-K map analysis. We develop the CAS-K map based on the mean value of each factor and three categories of factors. These categories are divergent attitude (fluency, appropriateness), problem solving attitude (positiveness, independency, concentration), and convergent attitude (convergency, accuracy). This analysis of the results of CAS-K can be a source of creative attitude to foster mathematical creativity.

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Free vibrations of arbitrary quadrilateral thick plates with internal columns and uniform elastic edge supports by pb-2 Ritz method

  • Wu, L.H.
    • Structural Engineering and Mechanics
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    • v.44 no.3
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    • pp.267-288
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    • 2012
  • Free vibration analysis of arbitrary quadrilateral thick plates with internal columns and elastic edge supports is presented by using the powerful pb-2 Ritz method and Reddy's third order shear deformation plate theory. The computing domain of arbitrary quadrilateral planform is mapped onto a standard square form by coordinate transformation. The versatile pb-2 Ritz functions defined by the product of a two-dimensional polynomial and a basic function are taken to be the admissible functions. Substituting these displacement functions into the energy functional and minimizing the total energy by differentiation, leads to a typical eigenvalue problem, which is solved by a standard eigenvalue solver. Stiffness and mass matrices are numerically integrated over the plate by using Gaussian quadrature. The accuracy and efficiency of the proposed method are demonstrated through several numerical examples by comparison and convergency studies. A lot of numerical results for reasonable natural frequency parameters of quadrilateral plates with different combinations of elastic boundary conditions and column supports at any locations are presented, which can be used as a benchmark for future studies in this area.

Thermal Stress Analysis in the Vicinity of Butt Welded Joiny of a Strip (순간가열(瞬間加熱)된 Strip의 과도적열응력해석(過渡的熱應力解析))

  • J.E.,Park;H.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.10 no.1
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    • pp.15-20
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    • 1973
  • In this paper, it is desired to show a simplified analytical method in estimating the thermal stresses in the heat affected zone of butt welded joint. A finite strip as shown in Fig.1 is taken as a analytical model for stress analysis. Expressing the temperature distributions by Fourier series, the thermal stresses are obtained. From the numerical sample calculation, the following results can be obtained. (1) Thermal stresses can be estimated by the sujected method. (2) The stress component, which is parallel to the weld direction is the largest stress component in major part of the strip. (3) In obtaining a stress component for the engineering purpose, length of the strip can be treated as five times of the thickness with same degree of convergency.

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Structural Topology Optimization using Element Remove Method (요소제거법을 이용한 구조물 위상최적설계)

  • 임오강;이진식;김창식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.183-190
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    • 2001
  • Topology optimization. has been evolved into a very efficient conceptual design tool and has been utilized into design engineering processes in many industrial parts. In recent years, topology optimization has become the focus of structural optimization design and has been researched and widely applied both in academy and industry. Traditional topology optimization has been using homogenization method and optimality criteria method. Homogenization method provides relationship equation between structure which includes many holes and stiffness matrix in FEM. Optimality criteria method is used to update design variables while maintaining that volume fraction is uniform. Traditional topology optimization has advantage of good convergence but has disadvantage of too much convergency time and additive checkerboard prevention algorithm is needed. In one way to solve this problem, element remove method is presented. Then, it is applied to many examples. From the results, it is verified that the time of convergence is very improved and optimal designed results is obtained very similar to the results of traditional topology using 8 nodes per element.

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Optimum Design of Reinforced Concrete frames Considering Serviceability (사용성을 고려한 RC뼈대 구조물의 최적설계)

  • 김기대;박성규
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.279-286
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    • 2002
  • This study is concerned wiか the practical optimum design of concrete framed structures considering serviceability - deflection, crack, fatigue. The optimizing problems of framed structure are formulated with the objective function and the constraints which take the section properties as the design variables. The objective functions are formulated as the total cost of the structures and the constraints are derived by using the criteria with respect to safety and serviceability based on the part of concrete bridge in the Korea standard code of road bridge. The SLP method is introduced to solve the formulated nonlinear programming problems in this study and tested out through the numerical examples. This developed optimizing algorithm is tested out and examined through the numerical examples for the practical use of design on the concrete framed structures. And their results are compared and analyzed to examine the possibility of optimization, the applicability and the convergency of this algorithm.

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A Study on the Pulling Force Characteristic of the Reverse Screw for the Metal Fastening Method (Metal Fastening 공법을 위한 Reverse Screw의 견인력 특성에 관한 연구)

  • Kim, Tae-Hyung;Lee, Seong-Wook;Han, Geun-Jo
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.1
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    • pp.93-98
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    • 2010
  • The metal fastening method is the new technology to repair cracks in the casting material using specially designed reverse screws. In this study, we conduct the finite element analysis to analyze the pulling force characteristic of a reverse screw, the core component of the metal fastening method, with respect to the change of the applying torque, frictional coefficient and front screw angle. The simplified analysis model with single screw pitch is proposed for convergency of the non-linear contact analysis. As a results, the pulling force of a reverse screw increase in proportion to the applying torque but exponentially decrease according to frictional coefficient. And also we can find the optimum front screw angle with the largest pulling force is $20^{\circ}$.

Transient linear elastodynamic analysis in time domain based on the integro-differential equations

  • Sim, Woo-Jin;Lee, Sung-Hee
    • Structural Engineering and Mechanics
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    • v.14 no.1
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    • pp.71-84
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    • 2002
  • A finite element formulation for the time-domain analysis of linear transient elastodynamic problems is presented based on the weak form obtained by applying the Galerkin's method to the integro-differential equations which contain the initial conditions implicitly and does not include the inertia terms. The weak form is extended temporally under the assumptions of the constant and linear time variations of field variables, since the time-stepping algorithms such as the Newmark method and the Wilson ${\theta}$-method are not necessary, obtaining two kinds of implicit finite element equations which are tested for numerical accuracy and convergency. Three classical examples having finite and infinite domains are solved and numerical results are compared with the other analytical and numerical solutions to show the versatility and accuracy of the presented formulation.