• 제목/요약/키워드: 3D dynamic geometric program

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정다면체 문제 해결 과정에서 나타나는 고등학교 학생들의 심상에 관한 사례연구 (A case study on high school students' mental image in the process of solving regular polyhedron problems)

  • 홍갑룡;김원경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제53권4호
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    • pp.493-507
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    • 2014
  • The purpose of this study is to analyze how high school students form and interpret the mental image in the process of solving regular polyhedron problems. For this purpose, a set of problems about the regular polyhedron's vertex is developed on the base of the regular polyhedron's duality and circulation. and applied to 2 students of the 12th graders in D high school. After 2 hours of teaching and learning and another 2 hours of mental image-analysis process, the following research findings are obtained. Fisrt, a student who recorded medium high-level grade in the national scholastic test can build the dynamic image or the patten image in the process of solving regular polyhedron's vertex problems by utilizing the 3D geometry program. However, the other student who recorded low-level grade can build the concrete-pictorial image. Second, pattern image or dynamic image can help students solve the regular polyhedron's vertex problems by proper transformation of informations and the mental images while the concrete-pictorial image does not help. Hence, it is recommended that the mathematics teachers should develop teaching and learning materials about the regular polyhedron's duality and circulation and also give students suitable questions to build the various mental images.

지반-골조구조물 상호작용계의 3차원 정.동적 해석 (3-Dimensional Static and Dynamic Analysis of Soil-Framework Interaction System)

  • 서상근;장병순
    • 전산구조공학
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    • 제10권2호
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    • pp.243-254
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    • 1997
  • 기초 지반상에 존재하는 3차원 골조구조물에 진동을 유발시키는 기계하중, 풍하중, 지진과 같은 동적 하중이 작용한다면, 지반-골조구조물 상호작용계의 동적거동을 해석하여야한다. 따라서, 본 연구에서는 실제 구조물에 근접한 기하학적 형상으로 이상화 시키기 위해, 슬래브와 기초판은 유연성을 갖는 4-절점 판요소, 보.기둥은 2-절점 보요소, 탄성지반은 8-절점 입체요소를 사용하여 유한요소법으로 3차원 상호작용계를 해석하였다. 본 연구의 목적은 지반-골조구조물 상호작용계의 동적 거동을 해석하기 위해, 동적 운동 방정식을 정리한 후 유한요소 프로그램으로 상호작용계의 동적 거동을 해석하는 것이다.

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불균일 단면을 갖는 저장력 예인케이블에 관한 수치해석적 연구 (A STUDY ON NUMERICAL SIMULATION OF TOWED LOW-TENSION CABLE WITH NONUNIFORM CHARACTERISTICS)

  • 정동호;박한일
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 춘계학술대회 논문집
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    • pp.161-166
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    • 2002
  • Low-tension cables have been increasingly used in recent years due to deep-sea developments and the advent of synthetic cables. In the case of low-tension cables, large displacements may happen due to relatively small restoring forces of tension and thus the effects of fluid and geometric non-linearities become predominant. In this study, three-dimensional (3-D) dynamic behavior of a towed low-tension cable with non-uniform characteristics is numerically analyzed by considering fluid and geometric non-linearities and bending stiffness. A Fortran program is developed by employing a finite difference method. In the algorithm, an implicit time integration and Newton-Raphson iteration are adopted. For the calculation of huge size of matrices, block tri-diagonal matrix method is applied, which is much faster than the well-known Gauss-Jordan method in two point boundary value problems. Some case studies are carried out and the results of numerical simulations are compared with a in-house program of WHOI Cable with good agreements.

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복합재료 평판의 비선형 3차원 저속 충격 해석 (3-Dimensional Nonlinear Analysis of Low Velocity Impact On Composite Plates)

  • 김승조;지국현
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 춘계학술발표대회 논문집
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    • pp.38-42
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    • 2000
  • In this study, the low velocity impact behavior of the composite laminates has been described by using 3 dimensional nonlinear finite elements. To describe the geometric nonlinearity due to large deformation, the dynamic contact problem is formulated using the exterior penalty finite element method on the base of Total Lagrangian formulation. The incremental decomposition is introduced, and the converged solution is attained by Newton-Raphson Method. The Newmark's constant-acceleration time integration algorithm is used. To make verification of the finite element program developed in this study, the solution of the nonlinear static problem with occurrence of large deformation is compared with ABAQUS, and the solution of the static contact problem with indentation is compared with the Hertz solution. And, the solution of low velocity impact problem for isotropic material is verificated by comparison with that of LS-DYNA3D. Finally the contact force of impact response from the nonlinear analysis are compared with those from the linear analysis.

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궤도틀림을 고려한 교대접속부의 열차상호동적거동해석 (Train-Structure Dynamic Interaction Analysis of The Bridge Transition Considering Track Irregularity)

  • 최찬용;김현기;정근영;양상범
    • 한국지반공학회논문집
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    • 제31권9호
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    • pp.29-38
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    • 2015
  • 이 연구에서는 열차가 교량 접속부를 통과하면서 발생되는 동적상호작용 문제를 유한요소해석프로그램을 이용하여 검토하였다. 해석대상구간에서의 궤도틀림조건은 부등침하량을 삼각함수를 이용하여 이상화하고, 철도공사 선로 보수기준을 만족하는 최대 궤도틀림 한계치를 해석조건으로 설정하였다. 해석대상이 되는 접속부 구조물의 체결장치 아래 부분은 모두 3차원 입체요소로 모형화하였으며, 해석비용을 줄이기 위하여 1/2 궤도부분만을 모형화하였다. 경계조건은 평면변형률상태에 준하는 것으로 차량-궤도 동적상호작용해석을 수행하였다. 국내 콘크리트궤도용 표준 접속부에서의 궤도틀림에 따른 열차 주행시 동적상호작용해석을 수행하여 윤중감소율과 차체수직진동가속도를 살펴보았으며, 접속부의 시멘트 안정처리골재, 일반골재, 일반토사구간에서의 발생된 최대 Mises응력으로 동적거동을 평가하였다.

A Case Study on Engineering Failure Analysis of Link Chain

  • Kim, Tae-Gu;Lee, Seong-Beom;Lee, Hong-Chul
    • Safety and Health at Work
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    • 제1권1호
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    • pp.43-50
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    • 2010
  • Objectives: The objective of this study was to investigate the effect of chain installation condition on stress distribution that could eventually cause disastrous failure from sudden deformation and geometric rupture. Methods: Fractographic method used for the failed chain indicates that over-stress was considered as the root cause of failure. 3D modeling and finite element analysis for the chain, used in a crane hook, were performed with a three-dimensional interactive application program, CATIA, commercial finite element analysis and computational fluid dynamic software, ANSYS. Results: The results showed that the state of stress was changed depending on the initial position of the chain that was installed in the hook. Especially, the magnitude of the stress was strongly affected by the bending forces, which are 2.5 times greater (under the simulation condition currently investigated) than that from the plain tensile load. Also, it was noted that the change of load state is strongly related to the failure of parts. The chain can hold an ultimate load of about 8 tons with only the tensile load acting on it. Conclusion: The conclusions of this research clearly showed that a reduction of the loss from similar incidents can be achieved when an operator properly handles the installation of the chain.

가방용 3D 입체패턴 디자인 자카드 직물 개발과 감성구조 (Development and Sensory Evaluation of Jacquard Fabrics with Three Dimensional Pattern Design for Bag)

  • 김정화;김명옥;이정순
    • 한국의류산업학회지
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    • 제21권1호
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    • pp.104-111
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    • 2019
  • This study was developed using the DTP (digital textile printing) jacquard fabrics with a three-dimensional pattern for bag and evaluated the preference and emotional structure. The following conclusions were obtained. Three-dimensional patterns of 12 species using the illustrator program, including six kinds of designs based on the text and six kinds of character types based on the geometry of the basic design was developed. As a result of evaluating the preference of the three-dimensional pattern jacquard fabric, the most preferred fabric was a three-dimensional patterned jacquard fabric with a motif of the Korean consonant "ㅅ". The results of analyzing the emotional dimension of the three-dimensional pattern jacquard fabric, eight factors including simple image, feminine image, exotic image, graphic image, sporty image, masculine image, dynamic image and stereoscopic image were derived. Between emotional factors and preferences correlation analysis showed the stronger the simple image, the feminine image, and the sporty image, the more preferable. It suggested the possibility of a morphological and new fabric for bag, textile design motifs by using Hangul consonants attempt to limit the flatness of the existing geometric form patterns that can be applied to three-dimensional bag whether swirly patterns overcome.

비대칭 형상 파력발전 로터의 선형 거동에 대한 수치적·실험적 연구 (Numerical and Experimental Study on Linear Behavior of Salter's Duck Wave Energy Converter)

  • 김동은;;고행식;이혜빈;배윤혁
    • 한국해양공학회지
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    • 제33권2호
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    • pp.116-122
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    • 2019
  • Among the various wave power systems, Salter's duck (rotor) is one of the most effective wave absorbers for extracting wave energy. The rotor shape is designed such that the front part faces the direction of the incident wave, which forces it to bob up and down due to wave-induced water particle motion, whereas the rear part, which is mostly circular in shape, reflects no waves. The asymmetric geometric shape of the duck makes it absorb energy efficiently. In the present study, the rotor was investigated using WAMIT (a program based on the linear potential flow theory in three-dimensional diffraction/radiation analyses) in the frequency domain and verified using OrcaFlex (design and analysis program of marine system) in the time domain. Then, an experimental investigation was conducted to assess the performance of the rotor motion based on the model scale in a two-dimensional (2D) wave tank. Initially, a free decay test (FDT) was carried out to obtain the viscous damping coefficient. The pitch response was extracted from the experimental time series in a periodic regular wave for two different wave heights (1 cm and 3 cm). In addition, the viscous damping coefficient was calculated from the FDT result and fluid forces, obtained from WAMIT, are incorporated into the final response of the rotor. Finally, a comparative study based on experimental and numerical results (WAMIT & OrcaFlex) was performed to confirm the performance reliability of the designed rotor.