• 제목/요약/키워드: number of element

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Free vibration analysis of asymmetric shear wall-frame buildings using modified finite element-transfer matrix method

  • Bozdogan, Kanat B.
    • Structural Engineering and Mechanics
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    • 제46권1호
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    • pp.1-17
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    • 2013
  • In this study, the modified finite element- transfer matrix methods are proposed for free vibration analysis of asymmetric structures, the bearing system of which consists of shear wall-frames. In the study, a multi-storey structure is divided into as many elements as the number of storeys and storey masses are influenced as separated at alignments of storeys. The shear walls and frames are assumed to be flexural and shear cantilever beam structures. The storey stiffness matrix is obtained by formulating the governing equation at the center of mass for the shear walls and the frames in the i.th floor. The system transfer matrix is constructed in the dimension of $6{\times}6$ by transforming the obtained stiffness matrix. Thus, the dimension, which is $12n{\times}12n$ in classical finite elements, is reduced to the dimension of $6{\times}6$. To study the suitability of the method, the results are assessed by solving two examples taken from the literature.

Multiple cutout optimization in composite plates using evolutionary structural optimization

  • Falzon, Brian G.;Steven, Grant P.;Xie, Mike Y.
    • Structural Engineering and Mechanics
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    • 제5권5호
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    • pp.609-624
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    • 1997
  • The optimization of cutouts in composite plates was investigated by implementing a procedure known as Evolutionary Structural Optimization. Perforations were introduced into a finite element mesh of the plate from which one or more cutouts of a predetermined size were evolved. In the examples presented, plates were rejected from around each evolving cutout based on a predefined rejection criterion. The limiting ply within each plate element around the cutout was determined based on the Tsai-Hill failure criterion. Finite element plates with values below the product of the average Tsai-Hill number and a rejection criterion were subsequently removed. This process was iterated until a steady state was reached and the rejection criterion was then incremented by an evolutionary rate and the above steps repeated until the desired cutout area was achieved. Various plates with differing lay-up and loading parameters were investigated to demonstrate the generality and robustness of this optimization procedure.

Vibration Analysis of the Active Multi-Layer Beams by Using Spectrally Formulated Exact Natural Modes

  • Lee, Usik;Kim, Joohong;Andrew Y. T. Leung
    • Journal of Mechanical Science and Technology
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    • 제15권2호
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    • pp.199-209
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    • 2001
  • Modal analysis method (MAM) is introduced for the fully coupled structural dynamic problems. In this paper, the beam with active constrained layered damping (ACLD) treatment is considered as a representative problem. The ACLD beam consists of a viscoelastic layer that is sandwiched between the base beam structure and an active piezoelectric layer. The exact damped natural modes are spectrally formulated from a set of fully coupled dynamic equations of motion. The orthogonality property of the exact damped natural modes is then derived in a closed form to complete the modal analysis method. The accuracy of the present MAM is evaluated through some illustrative examples: the dynamic characteristics obtained by the present MAM are compared with the results by spectral element method (SEM) and finite element method (FEM). It is numerically proved that MAM solutions become identical to the accurate SEM solutions as the number of exact natural used in MAM is increased.

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Nonlinear dynamic response and its control of rubber components with piezoelectric patches/layers using finite element method

  • Manna, M.C.;Bhattacharyya, R.;Sheikh, A.H.
    • Smart Structures and Systems
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    • 제6권8호
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    • pp.889-903
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    • 2010
  • Idea of using piezoelectric materials with flexible structures made of rubber-like materials is quite novel. In this study a non-linear finite element model based on updated Lagrangian (UL) approach has been developed for dynamic response and its control of rubber-elastic material with surface-bonded PVDF patches/layers. A compressible stain energy density function has been used for the modeling of the rubber component. The results obtained are compared with available analytical solutions and other published results in some cases. Some results are reported as new results which will be useful for future references since the number of published results is not sufficient.

순차이송 금형을 사용한 정밀 모터코어 적층공정의 강소성 유한요소해석 (Rigid-Plastic Finite Element Analysis for the Lamination Process of a Precision Motor Core using Progressive Dies)

  • 박근;최상련
    • 한국공작기계학회논문집
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    • 제10권5호
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    • pp.45-52
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    • 2001
  • In order to increase the productivity of electrical parts, manufacturing processes using progressive dies have been widely used in the industry. Motor cores have been fabricated using progressive stacking die with the lamination procedure for better electro-magnetic property. For the proper design off process, a prediction of the process is required to obtain many design parameters. In this work, rigid-plastic finite element analysis is carried out in order to simulate the lamination process of the motor core. The effects of the embossing depth, the amount of deviation, and the number of stacked sheets are investigated and compared with experiments. The forming process can then be predicted successfully from the results of analyses, which enables an appropriate design to be made for the die and the process.

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적층 선형 초음파 모터의 유한요소 시뮬레이션 (Finite Element Simulation of Multilayer Ultrasonic Linear Motor)

  • 이상호;이갑수;류주현;홍재일;정영호
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2006년도 하계학술대회 논문집 Vol.7
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    • pp.284-285
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    • 2006
  • In this study, multilayer structured ultrasonic linear motor was designed and simulated using ANSYS of finite element method simulator for investigating the optimum conditions of it. The ultrasonic linear motor studied in this paper designed using the 1st longitudinal($L_1$) and 4th bending vibration($B_4$). The driving voltage of the motor was very low as $V_1=5\sqrt{2}sinwt$ and $V_2=5\sqrt{2}coswt$. With the increase of the number of piezoelectric ceramic layers, displacement of node was increased. Maximum z displacement of node was about $12{\mu}m$ at the 18 layered ultrasonic motor.

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Convergence of the C* family of finite elements and problems associated with forcing continuity of the derivatives at the nodes

  • Bigdeli, B.;Kelly, D.W.
    • Structural Engineering and Mechanics
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    • 제7권6호
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    • pp.561-573
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    • 1999
  • A $C^*$-convergence algorithm for finite element analysis has been proposed by Bigdeli and Kelly (1997) and elements for the first three levels applied to planar elasticity have been defined. The fourth level element for the new family is described in this paper and the rate of convergence for the $C^*$-convergence algorithm is investigated numerically. The new family adds derivatives of displacements as nodal variables and the number of nodes and elements can therefore be kept constant during refinement. A problem exists on interfaces where the derivatives are required to be discontinuous. This problem is addressed for curved boundaries and a procedure is suggested to resolve the excessive interelement continuity which occurs.

수정된 3차원 16절점 요소에 의한 복합재 판의 자유진동 및 감쇠특성 해석 (Analysis of Free Vibration and Damping Characteristics of a Composite Plate by Using Modified 3-Dimensional 16-Node Elements)

  • 윤태혁;김상엽;권영두
    • 대한기계학회논문집
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    • 제19권4호
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    • pp.990-1004
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    • 1995
  • A modified 16-node element for composite plate has been proposed and compared with the 20-node element to check the validity of it. The fields of numerical inspection include mode analysis and specific damping analysis. By symetrizing the conventional unsymmetric damping matrix in the analysis of specific damping capacity, we could compute the specific damping capacity and make a program, effectively. In addition, we could predict the errors caused by reduction of integration order in thickness direction depending upon the number of layers.

격자식 미세구조 성장 모델을 이용한 다결정 박막 소재의 유한 요소 해석 (Lattice based Microstructure Evolution Model for Monte Carlo Finite Element Analysis of Polycrystalline Materials)

  • 최재환;김한성;이준기;나경환
    • 소성∙가공
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    • 제13권3호
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    • pp.248-252
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    • 2004
  • The mechanical properties of polycrystalline thin-films, critical for Micro-Electro-Mechanical Systems (MEMS) components, are known to have the size effect and the scatter in the length scale of microns by the numbers of intensive investigation by experiments and simulations. So, the consideration of the microstructure is essential to cover these length scale effects. The lattice based stochastic model for the microstructure evolution is used to simulate the actual microstructure, and the fast and reliable algorithm is described in this paper. The kinetics parameters, which are the key parameters for the microstructure evolution based on the nucleation and growth mechanism, are extracted from the given micrograph of a polycrystalline material by an inverse method. And the method is verified by the comparison of the quantitative measures, the number of grains and the grain size distribution, for the actual and simulated microstructures. Finite element mesh is then generated on this lattice based microstructure by the developed code. And the statistical finite element analysis is accomplished for selected microstructure.

A C0 finite element investigation for buckling of shear deformable laminated composite plates with random material properties

  • Singh, B.N.;Iyengar, N.G.R.;Yadav, D.
    • Structural Engineering and Mechanics
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    • 제13권1호
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    • pp.53-74
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    • 2002
  • Composites exhibit larger dispersion in their material properties compared to conventional materials due to larger number of parameters associated with their manufacturing processes. A $C^0$ finite element method has been used for arriving at an eigenvalue problem using higher order shear deformation theory for initial buckling of laminated composite plates. The material properties have been modeled as basic random variables. A mean-centered first order perturbation technique has been used to find the probabilistic characteristics of the buckling loads with different edge conditions. Results have been compared with Monte Carlo simulation, and those available in literature.