• Title/Summary/Keyword: Membrane element

Search Result 417, Processing Time 0.024 seconds

Analysis of Dynamic Characteristics of Rectangular Plates by Finite Element Method (유한요소법을 이용한 평판의 동특성 연구)

  • 태순호;이태연;허문회
    • Journal of the Korean Society of Safety
    • /
    • v.7 no.2
    • /
    • pp.30-41
    • /
    • 1992
  • Analysis of Dynamic Characterisocs of Rectangular Plate by Finite Element Method. Dynamic characteristics of a rectangular plate with opening in it is studied by finite element method. To investigate these characteristics 12 degrees of freedom membrane finite element in used. The rectangular membrane finite elements are defined by specifying geometry, internal displacement functions and strain-displacement relations. Then, the governing equation for the finite element is derived by energy method. To derive the mass matrix and stiffness matrix of the element, expressions for strain and kineic energy in terms of the node displacement are generated. In constructing the overall structure matrix, the matrix of each elements are superposed and partitioned by applying the given boundary condition to obtain a nonslngular matrix. To find the natural freguencies and viration modes, the eigen values and the corresponding eigen vectors are computed by the computer using well known Jacobi power method. In order to verify the capability of the membrane finite element, a flat rectangular plate is analyzed first, and the result is compared with well known analytical results to show the good agreement. A rectangular plate with opening in It is analyzed with the same finite element. The results are presented in this paper. Unfortunately, the literature study could not provide with some results to compare, but the results reveal that the output of this research is phlslcally reasonable. And the results of this research are useful not only in practice but also for the future experimental research in comparison purpose.

  • PDF

Sectional forming analysis by membrane finite elements considering bending effects (굽힘효과를 고려한 박막 유한요소에 의한 단면 성형해석)

  • Kim, Jun-Bo;Lee, Gwang-Byeong;Keum, Yeong-Tak
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.22 no.3
    • /
    • pp.493-503
    • /
    • 1998
  • The sectional forming analysis considering bending effects from the geometrically deformed shape of two linear membrane finite elements(called super element) was performed under plane strain assumption for analyzing forming processes of an arbitrarily shaped draw-die. For the evaluation of bending effects, the bending equivalent forces are calculated from the bending moment computed using the changes in the interior angle at the middle node of super element, and are agumented to the membrane stretch forces. In order to verify the validity of the bending formulation, the simulation results for the stretch, draw, and bend sections were compared with membrane analysis results and measurements.

Sectional Analysis of Sheet Metal Stamping Processes Using Bending Energy Augmented Membrane Element and Continuous Contact Treatment (굽힘 에너지가 보강된 박막 요소와 연속 접촉 처리를 이용한 스탬핑 공정의 단면 해석)

  • 윤정환;김종봉;양동열;유동진;한수식
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.15 no.4
    • /
    • pp.58-67
    • /
    • 1998
  • A sectional analysis of sheet metal forming process with an arbitrary tool shape is proposed in the present work. To improve the numerical convergence in the conventional membrane sectional analysis, the Bending Energy Augmented Membrane (BEAM) elements had been developed. The BEAM elements particularly improve the stability and convergence of the finite element method for the case of deep drawing. In this work, the FERGUBON spline (C$^2$-continuous) was used to fit the deformed mesh to smooth the given curves and calculate the local curvature of the deformed sheet. The fittings of the deformed sheet and tool surface profile ensure the stability and the convergence of the finite element analysis of highly nonlinear stamping processes. A center floor section and front fender section are analyzed to show the accuracy and robustness of the approach. The results obtained by the proposed approach are compared with the available experimental data.

  • PDF

A Study on the Slipping Problem for Cable-Membrane Structures (케이블-막구조물의 요소이동(slip)에 관한 연구)

  • Kim, Jae-Yeol;Kang, Joo-Won;Park, Sang-Min
    • Journal of Korean Association for Spatial Structures
    • /
    • v.8 no.5
    • /
    • pp.95-105
    • /
    • 2008
  • The objective of this study is find out the stressed condition, slipped direction and slipped dimension when some elements of cable-membrane structures are slipped from it's initially designed coordinates by external loads as wind or non uniform load and so on. In order to search the slipped behaviors of cable-membrane structures, a ALE finite element formulation is introduced. In these procedures, a stiffness matrix related with ALE concept is formulated and a FE analysis program for cable-membrane structures with slipped elements is developed.

  • PDF

The new flat shell element DKMGQ-CR in linear and geometric nonlinear analysis

  • Zuohua Li;Jiafei Ning;Qingfei Shan;Hui Pan;Qitao Yang;Jun Teng
    • Computers and Concrete
    • /
    • v.31 no.3
    • /
    • pp.223-239
    • /
    • 2023
  • Geometric nonlinear performance simulation and analysis of complex modern buildings and industrial products require high-performance shell elements. Balancing multiple aspects of performance in the one geometric nonlinear analysis element remains challenging. We present a new shell element, flat shell DKMGQ-CR (Co-rotational Discrete Kirchhoff-Mindlin Generalized Conforming Quadrilateral), for linear and geometric nonlinear analysis of both thick and thin shells. The DKMGQ-CR shell element was developed by combining the advantages of high-performance membrane and plate elements in a unified coordinate system and introducing the co-rotational formulation to adapt to large deformation analysis. The effectiveness of linear and geometric nonlinear analysis by DKMGQ-CR is verified through the tests of several classical numerical benchmarks. The computational results show that the proposed new element adapts to mesh distortion and effectively alleviates shear and membrane locking problems in linear and geometric nonlinear analysis. Furthermore, the DKMGQ-CR demonstrates high performance in analyzing thick and thin shells. The proposed element DKMGQ-CR is expected to provide an accurate, efficient, and convenient tool for the geometric nonlinear analysis of shells.

Shape Finding and Stress Analyses of Tension Membrane Structures by using 4-node Isoparametric Elements (4월점 등매개요소를 이용한 인장막구조(引張膜構造)의 형상해석(形狀解析) 및 응력해석(應力解析))

  • Lee, Kyung-Soo;Lee, Hyung-Hoon;Moon, Jeong-Ho;Han, Sang-Eul
    • 한국공간정보시스템학회:학술대회논문집
    • /
    • 2004.05a
    • /
    • pp.222-229
    • /
    • 2004
  • This study purports to analyze equally stressed surfaces in tension-membrane structures through a geometrically nonlinear approach. It adopts the formulation of a 4-node quadrilateral isoparametric plane stress element considering the orthotropic characteristic of membrane textures. Tension structures, which include cables and tension membranes, such as a cable dome initially exhibit unstable conditions because no initial internal stiffness such as bending stiffness is present. Such a structural system requires prestressing to the tension members to attain a stable state. A tension-membrane structure retains a stable three dimensional curved surface as a structural shape. This analytical process for finding the geometry is referred to as Shape Finding Analysis. In order to assess the validity of this study, we examine equally stressed surfaces of saddle and catenary shape shell structures and carry out pertinent stress analyses

  • PDF

Optimization of a Membrane with a Center Hole using Natural Element Method and Genetic Algorithm (자연요소법과 유전자 알고리듬을 사용한 원공 평판의 최적설계)

  • Lee, Sang-Bum;Seong, Hwal-Gyeng;Cheon, Ho-Jeong
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.25 no.2
    • /
    • pp.105-114
    • /
    • 2008
  • Natural element method (NEM) is quick in research activities by natural sciences and mechanical engineering fields, and from which good results are watched by various engineering fields and applied too. However no paper or research about the applied case has announced yet. Therefore on this paper, I will rediscover an optimum design and apply NEM into other fields with NEM for existing optimum design of mainly using FEM. NEM and genetic algorithm (GA) are applied to optimize a membrane with a center hole. The optimal design obtained by NEM is compared to the counterpart obtained by the finite element method (FEM). Result by NEM is found to be better than the result by FEM. NEM can be a feasible analysis tool in design optimization.

Efficient membrane element for cyclic response of RC panels

  • Tesser, Lepoldo;Talledo, Diego A.
    • Computers and Concrete
    • /
    • v.20 no.3
    • /
    • pp.351-360
    • /
    • 2017
  • This paper presents an efficient membrane finite element for the cyclic inelastic response analysis of RC structures under complex plane stress states including shear. The model strikes a balance between accuracy and numerical efficiency to meet the challenge of shear wall simulations in earthquake engineering practice. The concrete material model at the integration points of the finite element is based on damage plasticity with two damage parameters. All reinforcing bars with the same orientation are represented by an embedded orthotropic steel layer based on uniaxial stress-strain relation, so that the dowel and bond-slip effect of the reinforcing steel are presently neglected in the interest of computational efficiency. The model is validated with significant experimental results of the cyclic response of RC panels with uniform stress states.

A Study on Forming Analysis of Overall Stemping Process Apply Shell Element (셸 요소를 적용한 전체 스팸핑 공정의 성형 해석에 관한 연구)

  • Jung, Dong-Won;Kim, Dong-Hong;Kim, Bong-Chun
    • Journal of the Korean Society of Manufacturing Technology Engineers
    • /
    • v.20 no.3
    • /
    • pp.329-334
    • /
    • 2011
  • The characteristic of sheet metal process is the few loss of material during process, the short processing time and the excellent price and strength. The static implicit finite element method is applied effectively to analyze stamping processes from using AutoForm software. The simulation analysis can be applied to the membrane elements and shell elements. Membrane elements can be applied to good efficiency, but lower than the accuracy of shell elements. Therefore, simple drawing process applies membrane element, and spring-back and analysis of stamping process are judged that it is most efficient that apply shell clement. This study, the simulated results for stamping processes are shown and discussed.

Preparation and Properties of Membranes for the Application of Desalting, Refining and Concentrating for Dye Processing (염료의 탈염/정제/농축처리용 분리막의 제조 및 특성평가)

  • Nam Sang-Yong;Jang Jae-Young;Chung Youn-Suk;Lee Young-Moo
    • Membrane Journal
    • /
    • v.16 no.3
    • /
    • pp.213-220
    • /
    • 2006
  • Microfiltration and Nanofiltration membrane were prepared and properties of the membrane system were studied for the application of desaltingfrefiningiconcentrating process of dye production. The membrane system improved the quality of dye produce and productivity was enhanced due to reduction of processing steps and material cost. Membrane and pressure type membrane element in various dye concentration for using desaltingirefiningiconcentrating of dye processing were investigated.