• 제목/요약/키워드: 4 element

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Shear-deformable finite element for free vibrations of laminated composite beams with arbitrary lay-up

  • Kahya, Volkan;Karaca, Sebahat;Vo, Thuc P.
    • Steel and Composite Structures
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    • 제33권4호
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    • pp.473-487
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    • 2019
  • A shear-deformable finite element model (FEM) with five nodes and thirteen degrees of freedom (DOFs) for free vibrations of laminated composite beams with arbitrary lay-up is presented. This model can be capable of considering the elastic couplings among the extensional, bending and torsional deformations, and the Poisson's effect. Lagrange's principle is employed in derivation of the equations of motion, and thus the element matrices are obtained. Comparisons of the present element's results with those in experiment, available literature and the 3D finite element analysis software (ANSYS(R)) are made to show its accuracy. Some further results are given as referencing for the future studies in vibrations of laminated composite beamst.

면내 회전 자유도가 추가된 hybrid Trefftz 평면 요소와 DKMQ 요소를 이용한 4 절점 평면 셸 요소의 개발 (Development of a flat shell element by using the hybrid Trefftz plane element with drilling D.O.F. and the DKMQ element)

  • 최누리;추연석;이승규;이병채
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2004년도 추계학술대회 논문집
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    • pp.855-859
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    • 2004
  • We develop a new four-node flat shell element which is accurate, efficient, and suitable to be used on general purpose. The new element has a hybrid Trefftz element with drilling degrees of freedom as a membrane part. We define the two independent displacement field: the internal displacement field that satisfies governing equations in the domain a priori and the boundary displacement field that is usually used as a conventional finite element method. The hybrid Trefftz variational formulation connects these two displacement fields on the boundary of the domain. To add drilling degrees of freedom, we introduce the Allman's quadratic displacement field to the boundary displacement field. As a result, our flat shell element has 6 degrees of freedom per a node. We also use the well-known DKMQ plate bending element for the plate part of the proposed element. The DKMQ element satisfies Mindlin-Reissner‘s plate theory along the edge of the element and gives proper behavior regardless of the thickness. A series of numerical experiments shows that the performance of the new element such as accuracy, rate of convergence, robustness to mesh quality, and so on.

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Comparisons of Elasto-Fiber and Fiber & Bernoulli-Euler reinforced concrete beam-column elements

  • Karaton, Muhammet
    • Structural Engineering and Mechanics
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    • 제51권1호
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    • pp.89-110
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    • 2014
  • In this study, two beam-column elements based on the Elasto-Fiber element theory for reinforced concrete (RC) element have been developed and compared with each other. The first element is based on Elasto Fiber Approach (EFA) was initially developed for steel structures and this theory was applied for RC element in there and the second element is called as Fiber & Bernoulli-Euler element approach (FBEA). In this element, Cubic Hermitian polynomials are used for obtaining stiffness matrix. The beams or columns element in both approaches are divided into a sub-element called the segment for obtaining element stiffness matrix. The internal freedoms of this segment are dynamically condensed to the external freedoms at the ends of the element by using a dynamic substructure technique. Thus, nonlinear dynamic analysis of high RC building can be obtained within short times. In addition to, external loads of the segment are assumed to be distributed along to element. Therefore, damages can be taken account of along to element and redistributions of the loading for solutions. Bossak-${\alpha}$ integration with predicted-corrected method is used for the nonlinear seismic analysis of RC frames. For numerical application, seismic damage analyses for a 4-story frame and an 8-story RC frame with soft-story are obtained to comparisons of RC element according to both approaches. Damages evaluation and propagation in the frame elements are studied and response quantities from obtained both approaches are investigated in the detail.

A new equivalent friction element for analysis of cable supported structures

  • Yan, Renzhang;Chen, Zhihua;Wang, Xiaodun;Liu, Hongbo;Xiao, Xiao
    • Steel and Composite Structures
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    • 제18권4호
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    • pp.947-970
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    • 2015
  • An equivalent friction element is proposed to simulate the friction in cable-strut joints. Equivalent stiffness matrixes and load vectors of the friction element are derived and are unified into patterns for FEM by defining a virtual node specially to store internal forces. Three approaches are described to verify the rationality of the new equivalent friction element: applying the new element in a cable-roller model, and numerical solutions match well with experimental results; applying the element in a continuous sliding cable model, and theoretical values, numerical and experimental results are compared; and the last is applying it in truss string structures, whose results indicate that there would be a great error if the cable of cable supported structures is simulated with discontinuous cable model which is usually adopted in traditional finite element analysis, and that the prestress loss resulted from the friction in cable-strut joints would have adverse effect on the mechanical performance of cable supported structures.

자유 필기체 한글에서의 자모 추출 (Phoneme Extraction from Freely Hand Written Han Gul)

  • 오원근;신영건;안영경
    • 한국정보과학회 언어공학연구회:학술대회논문집(한글 및 한국어 정보처리)
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    • 한국정보과학회언어공학연구회 1989년도 한글날기념 학술대회 발표논문집
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    • pp.142-147
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    • 1989
  • 필기체 문자는 인쇄체 문자와는 달리, 복잡한 변형이 따르므로, 인식 하는데 많은 문제점이 따른다. 그렇기 때문에 일반적인 필기체 인식에 있어서는 필기 자체에 대한 제한을 두어 변형을 적게한 문자를 인식 대상으로 삼고 있다. 이러한 문자는, 설정된 조건만 확실하게 만족한다면, 비교적 간단하게 인식 할 수 있다. 반면에, 자유 필기체 문자는, 제한 필기체 문자와는 달리 변형이 크기 때문에, 그 인식에는 많은 연구가 필요하다. 본 연구에서는, 자유 필기체 한글의 자모를 추출하는데 있어 두개의 parameter space method를 이용했다. 화상내에서의 혼합은, 기본적으로 5 개의 element ($\mid,\;\setminus,\;/,\;-,\;o$)로 구성되어 있고, 이 element를 정의하는데는 최소한 4 개의 parameter, 즉 element의 위치 [x, y], 크기 [1] 및 type [T] 등이 필요하다. 입력 화상에서 추출된 직선 및 원의 성분은 [x, y, l] 과 [x, y, T]의 2 개의 3-D parameter space 에 누적되고, parameter space 상에서의 병합 분할 과정을 거쳐, element 가 형성된다. 추출된 element 들은, parameter space 상에서의 방향성 및 상호 위치 관계에 의한 조합 형태로서, 미리 기술되어진 자모 모델과 비교되어 인식된다. 본 방법의 특정은, 문자의 크기에 무관하고, 해석방법에 의해서는, 끊어진 element나 불필요한 element 등의 왜곡된 element 들의 처리가 가능한 점, 4 차원 parameter space를 두개의 3 차원 parameter space로 분리, 처리시간과 기억용량의 절약을 기한점 등을 들 수 있다.

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A dynamic finite element method for the estimation of cable tension

  • Huang, Yonghui;Gan, Quan;Huang, Shiping;Wang, Ronghui
    • Structural Engineering and Mechanics
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    • 제68권4호
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    • pp.399-408
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    • 2018
  • Cable supported structures have been widely used in civil engineering. Cable tension estimation has great importance in cable supported structures' analysis, ranging from design to construction and from inspection to maintenance. Even though the Bernoulli-Euler beam element is commonly used in the traditional finite element method for calculation of frequency and cable tension estimation, many elements must be meshed to achieve accurate results, leading to expensive computation. To improve the accuracy and efficiency, a dynamic finite element method for estimation of cable tension is proposed. In this method, following the dynamic stiffness matrix method, frequency-dependent shape functions are adopted to derive the stiffness and mass matrices of an exact beam element that can be used for natural frequency calculation and cable tension estimation. An iterative algorithm is used for the exact beam element to determine both the exact natural frequencies and the cable tension. Illustrative examples show that, compared with the cable tension estimation method using the conventional beam element, the proposed method has a distinct advantage regarding the accuracy and the computational time.

Inelastic vector finite element analysis of RC shells

  • Min, Chang-Shik;Gupta, Ajaya Kumar
    • Structural Engineering and Mechanics
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    • 제4권2호
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    • pp.139-148
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    • 1996
  • Vector algorithms and the relative importance of the four basic modules (computation of element stiffness matrices, assembly of the global stiffness matrix, solution of the system of linear simultaneous equations, and calculation of stresses and strains) of a finite element computer program for inelastic analysis of reinforced concrete shells are presented. Performance of the vector program is compared with a scalar program. For a cooling tower problem, the speedup factor from the scalar to the vector program is 34 for the element stiffness matrices calculation, 25.3 for the assembly of global stiffness matrix, 27.5 for the equation solver, and 37.8 for stresses, strains and nodal forces computations on a Gray Y-MP. The overall speedup factor is 30.9. When the equation solver alone is vectorized, which is computationally the most intensive part of a finite element program, a speedup factor of only 1.9 is achieved. When the rest of the program is also vectorized, a large additional speedup factor of 15.9 is attained. Therefore, it is very important that all the modules in a nonlinear program are vectorized to gain the full potential of the supercomputers. The vector finite element computer program for inelastic analysis of RC shells with layered elements developed in the present study enabled us to perform mesh convergence studies. The vector program can be used for studying the ultimate behavior of RC shells and used as a design tool.

An effective finite element approach for soil-structure analysis in the time-domain

  • Lehmann, L.
    • Structural Engineering and Mechanics
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    • 제21권4호
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    • pp.437-450
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    • 2005
  • In this study, a complete analysis of soil-structure interaction problems is presented which includes a modelling of the near surrounding of the building (near-field) and a special description of the wave propagation process in larger distances (far-field). In order to reduce the computational effort which can be very high for time domain analysis of wave propagation problems, a special approach based on similarity transformation of the infinite domain on the near-field/far-field interface is applied for the wave radiation of the far-field. The near-field is discretised with standard Finite Elements, which also allows to introduce non-linear material behaviour. In this paper, a new approach to calculate the involved convolution integrals is presented. This approximation in time leads to a dramatically reduced computational effort for long simulation times, while the accuracy of the method is not affected. Finally, some benchmark examples are presented, which are compared to a coupled Finite Element/Boundary Element approach. The results are in excellent agreement with those of the coupled Finite Element/Boundary Element procedure, while the accuracy is not reduced. Furthermore, the presented approach is easy to incorporate in any Finite Element code, so the practical relevance is high.

Dynamic instability analysis of laminated composite stiffened shell panels subjected to in-plane harmonic edge loading

  • Patel, S.N.;Datta, P.K.;Sheikh, A.H.
    • Structural Engineering and Mechanics
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    • 제22권4호
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    • pp.483-510
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    • 2006
  • The dynamic instability characteristics of laminated composite stiffened shell panels subjected to in-plane harmonic edge loading are investigated in this paper. The eight-noded isoparametric degenerated shell element and a compatible three-noded curved beam element are used to model the shell panels and the stiffeners respectively. As the usual formulation of degenerated beam element is found to overestimate the torsional rigidity, an attempt has been made to reformulate it in an efficient manner. Moreover the new formulation for the beam element requires five degrees of freedom per node as that of shell element. The method of Hill's infinite determinant is applied to analyze the dynamic instability regions. Numerical results are presented to demonstrate the effects of various parameters like shell geometry, lamination scheme, stiffening scheme, static and dynamic load factors and boundary conditions, on the dynamic instability behaviour of laminated composite stiffened panels subjected to in-plane harmonic loads along the boundaries. The results of free vibration and buckling of the laminated composite stiffened curved panels are also presented.

볼트결합부를 포함한 구조물의 정적 및 동적 해석을 위한 유한요소 모델링 (Finite Element Modeling for Static and Dynamic Analysis of Structures with Bolted Joints)

  • 권영두;구남서;김성윤;조민호
    • 대한기계학회논문집A
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    • 제26권4호
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    • pp.667-676
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    • 2002
  • Many studies on the finite element modeling for bolted joints have proceeded, but the structures with bolted joints are complicated in shape and it is difficult to find out the characteristics according to joint condition. Usually, experimental methods have been used for bolted joint analysis. A reliable and practical finite element modeling technique for structure with bolted joints is very important for engineers in industry. In this study, three kinds of model are presented; a detailed model, a practical model and a simple model. The detailed model is modeled by using 3-D solid element and gap element, and the practical model is modeled by using shell element (a portion of bolt head) and beam element (a portion of bolt body), the simple model is modeled by simplifying practical model without using gap elements. Among these models, the simple model has the least degree of freedom and show the effect of memory reduction of 59%, when compared with the detailed model.