• Title/Summary/Keyword: nonlinear FEM analysis

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Optimization of static response of laminated composite plate using nonlinear FEM and ANOVA Taguchi method

  • Pratyush Kumar Sahu;Trupti Ranjan Mahapatra;Sanjib Jaypuria;Debadutta Mishra
    • Steel and Composite Structures
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    • v.48 no.6
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    • pp.625-639
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    • 2023
  • In this paper, a Taguchi-based finite element method (FEM) has been proposed and implemented to assess optimal design parameters for minimum static deflection in laminated composite plate. An orthodox mathematical model (based on higher-order shear deformation plate theory and Green-Lagrange geometrical nonlinearity) has been used to compute the nonlinear central deflection values of laminated composite plates according to Taguchi design of experiment via a self-developed MATLAB computer code. The lay-up scheme, aspect ratio, thickness ratio and the support conditions of the laminated composite plate structure were designated as the governable design parameters. Analysis of variance (ANOVA) is used to investigate the effect of diverse control factors on the nonlinear static responses. Moreover, regression model is developed for predicting the desired responses. The ANOVA revealed that the lay-up scheme alongside the support condition plays vital role in minimizing the central deflection values of laminated composite plate under uniformly distributed load. The conformity test results of Taguchi analysis are also in good agreement with the numerical experimentation results.

Metal forming analysis using meshfree-enriched finite element method and mortar contact algorithm

  • Hu, Wei;Wu, C.T.
    • Interaction and multiscale mechanics
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    • v.6 no.2
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    • pp.237-255
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    • 2013
  • In this paper, a meshfree-enriched finite element method (ME-FEM) is introduced for the large deformation analysis of nonlinear path-dependent problems involving contact. In linear ME-FEM, the element formulation is established by introducing a meshfree convex approximation into the linear triangular element in 2D and linear tetrahedron element in 3D along with an enriched meshfree node. In nonlinear formulation, the area-weighted smoothing scheme for deformation gradient is then developed in conjunction with the meshfree-enriched element interpolation functions to yield a discrete divergence-free property at the integration points, which is essential to enhance the stress calculation in the stage of plastic deformation. A modified variational formulation using the smoothed deformation gradient is developed for path-dependent material analysis. In the industrial metal forming problems, the mortar contact algorithm is implemented in the explicit formulation. Since the meshfree-enriched element shape functions are constructed using the meshfree convex approximation, they pose the desired Kronecker-delta property at the element edge thus requires no special treatments in the enforcement of essential boundary condition as well as the contact conditions. As a result, this approach can be easily incorporated into a conventional displacement-based finite element code. Two elasto-plastic problems are studied and the numerical results indicated that ME-FEM is capable of delivering a volumetric locking-free and pressure oscillation-free solutions for the large deformation problems in metal forming analysis.

A Nonlinear FEM Analysis of Connections Between Concrete Filled Steel Tube Columns and H-Beams (콘크리트충전(充塡) 각형강관(角形鋼管) 기둥과 H형강 보 접합부(接合部)의 비선형 유한요소해석)

  • Yun, Hyun-Do;Kim, Ok-Ryong;Kim, Ok-Ryong;Lee, Hun-Hee
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.7 no.2
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    • pp.209-218
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    • 2003
  • The analytical studies included nonlinear finite element analysis of split-tee connection details subjected to axial load and lateral load. A three-dimensional model of the connections between CFT columns and H-beams has been developed. Both initial geometrical imperfections and residual stresses are taken into consideration. A geometrically nonlinear load-displacement analysis of the structure containing the imperfection is then performed, using the Riks method. Analytical results are compared with existing experimental results. Extensive parametric analyses are carried out to investigate the relation of the connections between CFT columns and H-beam to various parameters such as the axial load, column width-thickness ratio, and split-tee thickness.

Design and Characteristics Analysis of a Transverse Flux Type Switched Reluctance Motor (횡자속형 스위치드 리럭턴스 전동기의 설계 및 특성 해석)

  • Kim, Gyeong-Ho;Jo, Yun-Hyeon;Gu, Dae-Hyeon;Jeong, Yeon-Ho;Gang, Do-Hyeon
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.51 no.1
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    • pp.7-15
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    • 2002
  • The paper proposes the characteristics analysis for a Transverse flux type Switched Reluctance Motor(TSRM) considering the nonlinear magnetic phenomena. To investigate the nonlinear parameters of magnetic equivalent circuit, the designed TSRM is analyzed by the 2D and 3D finite element method as functions of input current and angular displacement. On the base of FEM analysis results, the current, torque, back EMF and output power wave of TSRM are simulated from the motion equation by MATLAB/Simulink. The simulated performance characteristics for a 4-phase, 24-pole TSRM are verified by experimental results of a prototype TSRM.

Non-Prismatic Beam Element for Nonlinear Seismic Analysis of Steel Moment Frames II: Verification of Model (강재 모멘트 골조의 비선형 지진 해석을 위한 부등단면 보 요소 II: 모델의 검증)

  • Hwang, Byoung-Kuk;Cheon, Chung-Ha;Kim, Kee-Dong;Ko, Man-Gi
    • Journal of the Korean Society of Hazard Mitigation
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    • v.7 no.5
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    • pp.37-46
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    • 2007
  • This is the second of two companion papers that describe non-prismatic beam element for nonlinear seismic analysis of steel moment frames. Described in a companion paper is the formulation of a non-prismatic beam element to model the elastic and inelastic behavior of steel beams, which have reduced beam sections(RBS). This study describes the determination of yield surfaces, stiffness parameters, and hardening (or softening) rule parameters for RBS beam element. Analytical results of the RBS beam element show good correlation with test data and Finite Element Method(FEM) results.

Large deformation bending analysis of functionally graded spherical shell using FEM

  • Kar, Vishesh Ranjan;Panda, Subrata Kumar
    • Structural Engineering and Mechanics
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    • v.53 no.4
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    • pp.661-679
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    • 2015
  • In this article, nonlinear finite element solutions of bending responses of functionally graded spherical panels are presented. The material properties of functionally graded material are graded in thickness direction according to a power-law distribution of volume fractions. A general nonlinear mathematical shallow shell model has been developed based on higher order shear deformation theory by taking the geometric nonlinearity in Green-Lagrange sense. The model is discretised using finite element steps and the governing equations are obtained through variational principle. The nonlinear responses are evaluated through a direct iterative method. The model is validated by comparing the responses with the available published literatures. The efficacy of present model has also been established by demonstrating a simulation based nonlinear model developed in ANSYS environment. The effects of power-law indices, support conditions and different geometrical parameters on bending behaviour of functionally graded shells are obtained and discussed in detail.

Two-way Shear Strength Evaluation of Transfer Slab-Column Connections Through Nonlinear FE Analysis (비선형유한요소해석을 통한 전이슬래브-기둥 접합부의 2면 전단강도 평가)

  • Jeong, Seong-Hun;Kang, Su-Min
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.6
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    • pp.315-329
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    • 2018
  • Recently, RC transfer slab systems have been used widely to construct high-rise wall-type apartments for securing parking space or public space. However, it is problem that the design method and structural performance evaluation method developed for thin RC flat slab are still used in the design of the transfer slab whose thickness is very thick and therefore structural behavior is expected to be different from RC flat slab. Thus, for the rational design of the transfer slab, the ultimate shear behavior of the RC transfer slab system is required to be analyzed properly. Accordingly, in the present study, the two-way shear behavior of the transfer slab was analyzed using nonlinear FEM according to various design parameters such as thickness of the transfer slab, strength of concrete, shear span ratio, and reinforcement ratio. In addition, the two-way shear strength evaluations of RC transfer slab by the existing evaluation methods were verified by comparing those with the results of nonlinear FEM analysis.

Numerical Analysis on Iron Loss and PM Loss of Permanent Magnet Synchronous Motor Considering the Carrier Harmonics

  • Lee, Dongsu;Kim, Yong-Jae;Jung, Sang-Yong
    • Journal of Magnetics
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    • v.18 no.2
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    • pp.216-219
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    • 2013
  • In this paper, the influence of inverter switching harmonics on iron loss and PM loss of Permanent Magnet Synchronous Motor (PMSM) is numerically investigated by Finite Element Method (FEM). In particular, nonlinear FEM is applied for a multi-layered PM Synchronous Motors (PMSMs), Interior buried PMSM (IPMSM) and PM assisted Synchronous Reluctance Motor (PMa-SynRM), which are adoptively designed and compared for Electric Vehicle (EV) propulsion. In particular, iron loss and PM eddy-current loss under the real current waveform including the carrier harmonics from inverter switching are numerically analyzed with nonlinear FEM by considering the skewed stator structure employed for minimizing spatial harmonics.

Nonlinear FEM Analysis for Strength Characteristics of L-shaped Walls with Different Load-directions (가력방향이 다른 L형 벽체의 내력특성 평가를 위한 비선형 FEM 해석)

  • 조남선;하상수;최창식;오영훈;이리형
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.05a
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    • pp.443-448
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    • 2002
  • The cross sections of structural walls have various shapes such as T, L, and H-shaped. The L-shaped walls frequently appear in the comer of the structural plans. There are a little researches on the structural performance of L-shaped walls subjected to hi-directional loads. L-shaped wall subjected to hi-directional loads might be failed due to high compressive stress in the corner of the wall. L-shaped wall subjected to bi-directional(45$^{\circ}$ direction) loads was failed by the compressive failure more possible than that of one-directional(0$^{\circ}$ direction) loads. Therefore, in this paper, Two L-shaped wall specimens are chosen and presented. One is LCU specimen subjected to the bi-directional loads, the other is LCX specimen subjected to the one-directional loads. Also, the experimental results compared with the analytical results from nonlinear FEM analysis.

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The Evaluation of Structural Behavior of PSC I Type Girder Bridge through Material Nonlinear FEM Analysis (비선형 FEM 해석을 이용한 PSC I Typed 거더 교량의 구조거동 분석)

  • Sim Jongsung;Ju Minkwan;Kim Gyuseon;Moon Doyoung
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.528-531
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    • 2004
  • Nowadays, many of PSC bridges has constructed because high performance and long span bridge is required. Therefore, it is required that the evaluation of PSC bridges which retain various structure performance. In this study, nonlinear FEM analysis was performed with two parameter, concrete compressive strength and effective prestress force which is dominant factor for evaluating structural behavior of PSC bridge. Concrete compressive strength was adapted between 30Mpa and 100Mpa and effective prestress force was used the value which is considered effective rate for time-dependant effect. In the result of this study, it was showed that concrete compressive strength and effective prestress force is important factor for evaluating structural behavior of PSC bridge.

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