• 제목/요약/키워드: quadrilateral

검색결과 280건 처리시간 0.021초

Free vibration and buckling analyses of curved plate frames using finite element method

  • Oguzhan Das;Hasan Ozturk;Can Gonenli
    • Structural Engineering and Mechanics
    • /
    • 제86권6호
    • /
    • pp.765-778
    • /
    • 2023
  • This study investigates the free vibration and buckling analyses of isotropic curved plate structures fixed at all ends. The Kirchhoff-Love Plate Theory (KLPT) and Finite Element Method (FEM) are employed to model the curved structure. In order to perform the finite element analysis, a four-node quadrilateral element with 5 degrees of freedom (DOF) at each node is utilized. Additionally, the drilling effect (θz) is considered as minimal to satisfy the DOF of the structure. Lagrange's equation of motion is used in order to obtain the first ten natural frequencies and the critical buckling values of the structure. The effects of various radii of curvatures and aspect ratio on the natural frequency and critical buckling load values for the single-bay and two-bay curved frames are investigated within this scope. A computer code based on finite element analysis is developed to perform free vibration and buckling analysis of curved plate frames. The natural frequency and critical buckling load values of the present study are compared with ANSYS R18.2 results. It has been concluded that the results of the present study are in good agreement with ANSYS results for different radii of curvatures and aspect ratio values of both single-bay and two-bay structures.

ON PAIR MEAN CORDIAL GRAPHS

  • R. PONRAJ;S. PRABHU
    • Journal of Applied and Pure Mathematics
    • /
    • 제5권3_4호
    • /
    • pp.237-253
    • /
    • 2023
  • Let a graph G = (V, E) be a (p, q) graph. Define $${\rho}=\{\array{{\frac{p}{2}} & \;\;p\text{ is even} \\ {\frac{p-1}{2}} & \;\;p\text{ is odd,}$$ and M = {±1, ±2, … ± ρ} called the set of labels. Consider a mapping λ : V → M by assigning different labels in M to the different elements of V when p is even and different labels in M to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair mean cordial labeling if for each edge uv of G, there exists a labeling ${\frac{{\lambda}(u)+{\lambda}(v)}{2}}$ if λ(u) + λ(v) is even and ${\frac{{\lambda}(u)+{\lambda}(v)+1}{2}}$ if λ(u) + λ(v) is odd such that ${\mid}{\bar{{\mathbb{S}}}}_{\lambda}{_1}-{\bar{{\mathbb{S}}}}_{{\lambda}^c_1}{\mid}{\leq}1$ where ${\bar{{\mathbb{S}}}}_{\lambda}{_1}$ and ${\bar{{\mathbb{S}}}}_{{\lambda}^c_1}$ respectively denote the number of edges labeled with 1 and the number of edges not labeled with 1. A graph G for which there exists a pair mean cordial labeling is called a pair mean cordial graph. In this paper, we investigate the pair mean cordial labeling behavior of few graphs including the closed helm graph, web graph, jewel graph, sunflower graph, flower graph, tadpole graph, dumbbell graph, umbrella graph, butterfly graph, jelly fish, triangular book graph, quadrilateral book graph.

개선된 추가변형률 4절점 평판휨 요소 (Improvement of Enhanced Assumed Strain Four-node Finite Element Based on Reissner-Mindlin Plate Theory)

  • 천경식;박대용;장석윤
    • 한국강구조학회 논문집
    • /
    • 제16권3호통권70호
    • /
    • pp.295-303
    • /
    • 2004
  • 본 연구에서는 등방성 및 복합적층판 해석을 위해 추가변형률을 갖는 개선된 4절점 Reissner-Mindlin 평판휨요소를 제안하였다. 전단잠김현상과 가상적인 제로에너지모드를 제거하기 위해 비적합 변위모드와 Bubble 함수식에 근거한 새로운 형태의 전단변형률을 추가함으로써 횡방향 전단거동을 개선하였다. Andelfinger와 Ramm(1993)이 제시한 기본적인 추가변형률은 면내거동을 개선시키고자 그대로 적용하였다. 1차전단변형이론에 근거한 새로 개발된 4절점 평판요소를 '14EASP'라 명하였다. 14EASP 유한요소의 특징과 성능을 평가하고자 몇가지의 수치해석예제를 적용하였으며, 다른 유한요소 및 해석적인 해와 비교하였다. 그 결과 본 연구에서 제안한 14EASP는 보다 안정적이고, 수렴성이 빠르며, 특히 요소형상이 왜곡된 경우에도 정확한 결과를 도출하였다.

축대칭 문제에서의 동적 응력확대계수의 계산 (Numerical Computation of Dynamic Stress Intensity Factors in Axisymmetric Problems)

  • 이성희;심우진
    • 한국전산구조공학회논문집
    • /
    • 제16권2호
    • /
    • pp.207-216
    • /
    • 2003
  • 본 논문에서는 균열을 지닌 축대칭 문제를 해석하기 위하여 시간적분형 운동방정식을 바탕으로 한 유한요소 해법을 제시한다. 유한요소메쉬는 8절점 등매개변수 사변형 요소와 균열선단에서의 1/4절점 삼각형 특이요소로 구성되며, 동적 응력확대계수는 균열면상의 1/4절점의 y방향 변위로부터 구한다. 제시된 해법의 정확성과 타당성을 검증하기 위하여 내부에 원환균열을 지닌 무한 탄성체가 균열면상에서 충격하중을 받을 때의 동적 응력확대계수를 계산하고 타 수치결과와 비교 검토하였다. 응용 예제로서 원환균열과 원주균열을 지닌 중실축과 중공축의 동적 응력확대계수를 균열의 길이와 축의 길이에 따른 영향을 자세히 조사하였다. 균열길이가 커지면 동적 응력확대계수가 커지고, 축의 길이가 길어지면 동적 응력확대계수 곡선의 폭도 함께 증가됨을 확인하였다. 그리고 균열의 위치가 안쪽에 포함될 경우보다는 바깥쪽에 포함될 때 더 큰 동적 응력확대계수가 발생됨을 밝힌다.

적응적 쉘유한요소를 이용한 박스형 구조물의 좌굴해석 (Buckling Analysis of Box-typed Structures using Adaptive Shell Finite Elements)

  • 송명관;김선훈
    • 한국전산구조공학회논문집
    • /
    • 제20권3호
    • /
    • pp.265-272
    • /
    • 2007
  • 본 논문에서는 적응적 h-유한요소 세분화에 의한 박스형 절판 구조물의 선형좌굴 유한요소해석법을 제안한다. 면내회전 자유도를 갖는 변절점 평판쉘유한요소를 사용하여 유한요소의 거동을 개선하고 6자유도를 갖는 다른 유한요소와의 자유도의 연결을 용이하게 한다. 이와 같이 개발된 평판쉘유한요소에 의하여 박스형 절판구조물의 정확한 구조해석이 가능한데, 변절점유한요소를 정식화함으로써 적응적 h-유한요소 세분화시에 발생하는 다른 패턴의 사각형 유한요소 세분화망의 연결을 용이하게 해결한다. 오차평가에 대한 개선된 응력장을 얻기 위하여 상위수렴 조각회복법을 적용한다. 이와 같이 상위수렴 조각회복법에 의한 개선된 응력장에 의하여 구성된 유한요소 세분화망을 이용하여 좌굴하중과 좌굴모드를 자동적으로 구할 수 있도록 한다.

스키타이계(係) 복식(服飾)에 대(對)한 연구(硏究) (A study on the Scythian costume)

  • 김문자
    • 패션비즈니스
    • /
    • 제11권4호
    • /
    • pp.204-220
    • /
    • 2007
  • The background of Korean Ethnical Costume was originated from those northern mounted nomadic groups, which was Scythe style Costume Culture. Through the antique records and paintings of tombs bequests hereby describe the forms of Scythian Cotume (1) Headgear : There was Conical Cap(or Pointed Cap), Feathered Cap, and Crown. (2) Clothes : Both Men and Women wore Jacket as upper garment with leftsided collars, narrow sleeves to the length of the hip line. As lower garment, they wore the tight Trousers and Kungo(:窮袴)that was attached with gusset. (3) Belts and Boots : On the upper garment bound the leather Belts that was hanged a hook that was shaped of animal form at the end. Scythian Buckles was divided into six groups, animal-shaped, animal's head shaped, animal fight-shaped, rectangle-shaped, rectangle openwork-shaped, genre scene shaped Buckle. To the Boots, they wore leather boots. (4) Ornaments : Ornaments divided into Dress Trimming(:Gold plaques), Earrings, Necklaces(;Torques), Bracelets, Rings. Scythian Gold Plaques were divided into several types according to the shape, animal style(curved beast shape, profile shape, head reversed over its back shape), round shape, quadrilateral form, star shape, flower shape, crescent shape, bundle shape, human appearance. Earrings consisted of a plain ring and pendant ring was a middle ornament hung from it to a pendants which hung was made of heart shaped leaves of the tree, beads-linked. Scythian Torques were divided into several types according to the shape, Torque with Terminal style, Spiral style, Layers style, Crescent-shaped pectoral style, Crown style. Scythian Bracelet were divided into 4 styles according to the shape, Bracelets with ends shaped like beasts style, Spiral style, Layers style, Crown with openwork style. Rings were rhomb-shaped and animal shaped styleRings (5) Animal motifs used in Scythian ornaments appears that in some cases the work was intended to be purely ornamental, while many times the motifs had symbolic meaning (such as the successful dominance of the aggressor over the victim portrayed in the attack scenes). Magical use of symbols may have been inten-ded to guarantee the power of the aggressor.

초대형 컨테이너선박 방향타의 캐비테이션 수치계산 및 검증 (Numerical Calculation and Validation for Rudder Cavitation of a Large Container Ship)

  • 김건도;문일성;김경열;반석호;이창섭
    • 대한조선학회논문집
    • /
    • 제43권5호
    • /
    • pp.568-577
    • /
    • 2006
  • With the increase of ship size and speed, the loading on the propeller is increasing, which in turn increases the rotational speed in the propeller slipstream. The rudder placed in the propeller slip stream is therefore subject to severe cavitation with the increased angle of attack due to the increased rotational induction speed of the propeller. In the present paper the surface panel method, which has been proved useful in predicting the sheet cavitation on the propeller blade, is applied to solve the cavity boundary value problem on the rudder. The problem is then solved numerically by discretizing the rudder and cavity surface elements of the quadrilateral panels with constant strengths of sources and dipoles. The strengths of the singularities are determined satisfying the boundary conditions on the rudder and cavity surfaces. The extent of the cavity, which is unknown a priori, is determined by iterative procedure. Series of numerical experiments are performed increasing the degree of complexity of the rudder geometry and oncoming flows from the simple hydrofoil case to the real rudder in the circumferentially averaged propeller slipstream. Numerical results are presented with experimental results.

실시간 전력계통 시뮬레이터를 이용한 보호계전모델 개발 (Implementation and Verification of Distance Relay Models for Real Time Digital Simulator)

  • 이주훈;윤용범;차승태;이진;최종웅
    • 대한전기학회논문지:전력기술부문A
    • /
    • 제52권7호
    • /
    • pp.393-400
    • /
    • 2003
  • This paper discusses how to implement and verify a software model of the digital relay that can be added to real time digital simulator(RTDS) model library and is then subjected to the same outputs as the actual relay. The software model is stand-alone and can be used with real relays. It is also possible to conduct interactive real-time tests when the system effects of the relay action need to be investigated. The characteristics of mho type and the quadrilateral type, which is commonly used in recently developed relays, are modeled in this paper. Single circuit line and double circuit line system are used for model verification. The transmission lines are each 100 km in length and are modeled as distributed parameter lines but not frequency dependent. The transmission lines in the single circuit system are modeled as ideally transposed line. The mutual coupling data with the parallel line was taken account in the transmission lines for the double circuit system. The main CTs and PTs are included and operated in their linear region during the tests. For the purpose of testing the relay model accuracy the faults have been applied at various points on the protected line. Its accuracy is assessed against theoretical values.

Development of a Flow Analysis Code Using an Unstructured Grid with the Cell-Centered Method

  • Myong, Hyon-Kook;Kim, Jong-Tae
    • Journal of Mechanical Science and Technology
    • /
    • 제20권12호
    • /
    • pp.2218-2229
    • /
    • 2006
  • A conservative finite-volume numerical method for unstructured grids with the cell-centered method has been developed for computing flow and heat transfer by combining the attractive features of the existing pressure-based procedures with the advances made in unstructured grid techniques. This method uses an integral form of governing equations for arbitrary convex polyhedra. Care is taken in the discretization and solution procedure to avoid formulations that are cell-shape-specific. A collocated variable arrangement formulation is developed, i.e. all dependent variables such as pressure and velocity are stored at cell centers. For both convective and diffusive fluxes the forms superior to both accuracy and stability are particularly adopted and formulated through a systematic study on the existing approximation ones. Gradients required for the evaluation of diffusion fluxes and for second-order-accurate convective operators are computed by using a linear reconstruction based on the divergence theorem. Momentum interpolation is used to prevent the pressure checkerboarding and a segregated solution strategy is adopted to minimize the storage requirements with the pressure-velocity coupling by the SIMPLE algorithm. An algebraic solver using iterative preconditioned conjugate gradient method is used for the solution of linearized equations. The flow analysis code (PowerCFD) developed by the present method is evaluated for its application to several 2-D structured-mesh benchmark problems using a variety of unstructured quadrilateral and triangular meshes. The present flow analysis code by using unstructured grids with the cell-centered method clearly demonstrate the same accuracy and robustness as that for a typical structured mesh.

재귀적 기하 분해 방법에 기반한 봉제 패턴의 사각화 방법 (Quadrangulation of Sewing Pattern Based on Recursive Geometry Decomposition)

  • 위르가고초;정문환;고형석
    • 한국컴퓨터그래픽스학회논문지
    • /
    • 제22권2호
    • /
    • pp.1-10
    • /
    • 2016
  • 의상 시뮬레이션과 렌더링 계산 비용은 메쉬의 종류와 그 품질에 크게 좌우 된다. 일반적으로 정확도와 효율성 면에서 삼각메쉬 보다 사각메쉬가 더 선호된다. 본 논문은 재귀 기하 분할법에 기초한 의복 패턴의 사각화 방법을 기술한다. 논문에서는 기존의 방법에서 두 가지 개선점을 제안한다. 첫째, 제안 방법은 기존의 방법보다 향상 된 회귀 기하 분해 알고리즘을 사용한다. 제안된 방법에서 의복패턴의 물리적 도매인은 보다 더 간단하고 맵핑 가능한 형태로 분해된다. 둘째, 본 논문에서는 정점 분류 알고리즘의 유효성 확인작업을 수행한다. 제안 알고리즘을 이용하여 인식 되지 않은 정점 분류에 대한 유효성을 검증 할 수 있다.