• Title/Summary/Keyword: lagrangian analysis

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Post-buckling and Elasto-plastic Analysis of Shell Structures using the Degenerated Shell Element (변형된 쉘요소를 이용한 판 및 쉘 구조의 후좌굴 및 탄.소성 유한요소해석)

  • 김문영;민병철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.04a
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    • pp.17-27
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    • 1995
  • For the post-buckling and elasto-plastic analysis of shell structures, the total Lagrangian formulation is presented based upon the degenerated shell element. Geometrically correct formulation is developed by updating the direction of normal vectors in the iteration process and evaluating the total Green-Lagrange stain corresponding U total displacements. In the calculation of the stiffness matrix, the element formulation takes into account the effect of finite rotation increments by retaining second order rotation terms in the incremental displacement field. The selective or reduced integration scheme using the heterosis element is applied in order to overcome both shear locking phenomena and the zero energy mode. The load/displacement incremental scheme is adopted for geometric non-linear F .E. analysis. Based on such methodology, the computer program is developed and numerical examples to demonstrate the accuracy and the effectiveness of the proposed shell element are presented and compared with references's results.

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Analysis and Design of a Novel 4-DOF High-Speed Parallel Robot (4자유도 고속 병렬 로봇의 해석 및 설계)

  • Kim, Han Sung
    • Journal of the Korean Society of Industry Convergence
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    • v.19 no.4
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    • pp.206-215
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    • 2016
  • Delta parallel robots are now widely used for high-speed applications. However, typical Delta robots, such as ABB Flexpicker suffer from rotating axis with passive prismatic joint subjected to critical speed and so requiring careful maintenance. In this paper, a novel 4-DOF high-speed parallel robot with four legs is presented, which consists of three legs with 90 degree arrangement for translational motions and one remaining leg with rack & pinion gears for rotational motion. The inverse kinematics, velocity, acceleration, statics, and inverse dynamics have been analyzed. From the workspace analysis and inverse dynamics simulation for 0.43 sec cycle time, the 4-axis parallel robot prototype with 12kg payload has been designed. In the future research, computed torque control methods will be developed for the prototype.

3-Dimensional Nonlinear Analysis of Low Velocity Impact On Composite Plates (복합재료 평판의 비선형 3차원 저속 충격 해석)

  • 김승조;지국현
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.04a
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    • pp.38-42
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    • 2000
  • In this study, the low velocity impact behavior of the composite laminates has been described by using 3 dimensional nonlinear finite elements. To describe the geometric nonlinearity due to large deformation, the dynamic contact problem is formulated using the exterior penalty finite element method on the base of Total Lagrangian formulation. The incremental decomposition is introduced, and the converged solution is attained by Newton-Raphson Method. The Newmark's constant-acceleration time integration algorithm is used. To make verification of the finite element program developed in this study, the solution of the nonlinear static problem with occurrence of large deformation is compared with ABAQUS, and the solution of the static contact problem with indentation is compared with the Hertz solution. And, the solution of low velocity impact problem for isotropic material is verificated by comparison with that of LS-DYNA3D. Finally the contact force of impact response from the nonlinear analysis are compared with those from the linear analysis.

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Strength of UD-Fabric Hybrid Laminated Composite Joints Based on Progressive Failure Analysis (점진적 파손해석 기법을 이용한 일방향-평직 혼합 적층 복합재 체결부의 강도)

  • 신소영;안현수;권진회
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2002.05a
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    • pp.17-21
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    • 2002
  • A finite element method based on the two-dimensional progressive failure analysis is presented for characterizing the strength and failure of the unidirectional-fabric hybrid laminated composite joints under pin loading. The 8-node laminated shell element is incorporated in the updated Lagrangian formulation. Various failure criteria including the maximum stress, Tsai-Wu, Yamada-Sun, and combinations of them are used in conjunction with the complete unloading stiffness degradation method. For the verification, joint tests are conducted for the specimens with various geometries. Although there are some differences depending on the geometry, the finite element model using the Yamada-Sun or the combined Yamada-Sun and Tsai-Wu criterion predicts the failure strength best.

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3-D Analysis of Hot Forging Processes using the Mesh Compression Method (격자압축법을 이용한 3차원 단조공정해석)

  • Hong, J.T.;Yang, D.Y.
    • Proceedings of the KSME Conference
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    • 2001.06c
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    • pp.492-497
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    • 2001
  • In the finite element analysis of metal forming processes using general Lagrangian formulation, element nodes in the mesh move and elements are distorted as the material is deformed. The excessive degeneracy of mesh interrupts finite element analysis and thus increases the error of plastic deformation energy. In this study, a remeshing scheme using so-called mesh compression method is proposed to effectively analyze the flash which is generated usually in hot forging processes. In order to verify the effectiveness of the method, several examples are tested in two-dimensional and three-dimensional problems.

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Development of Algorithm for Two Dimensional Automatic Mesh Generation and Remeshing Technique Using Bubble Packing Method (II) - Nonlinear Analysis - (버블패킹방법을 이용한 2차원 자동격자 생성 및 재구성 알고리듬 개발 (II) -비선형 해석-)

  • Jeong, Sun-Wan;Kim, Seung-Jo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.12
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    • pp.1926-1932
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    • 2001
  • In this second part of the paper, the automatic mesh generation and remeshing algorithm using bubble packing method is applied to the nonlinear problem. The remeshing/refinement procedure is necessary in the large deformation process especially because the mesh distortion deteriorates the convergence and accuracy. To perform the nonliear analysis, the transfer of state variables such as displacement and strain is added to the algorithm of Part 1. The equilibrium equation based on total Lagrangian formulation and elasto-viscoplastic model is used. For the numerical experiment, the upsetting process including the contact constraint condition is analyzed by two refinement criteria. And from the result, it is addressed that the present algorithm can generate the refined meshes easily at the largely deformed area with high error.

Nonlinear Numerical Analysis and Experiment of Composite Laminated Shell (복합재 적층셸의 비선형 수치해석 및 실험)

  • 조원만;이영신;윤성기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.8
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    • pp.2051-2060
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    • 1993
  • A finite element program using degenerated shell element was developed to solve the geometric, material and combined nonlinear behaviors of composite laminated shell. The total Lagrangian method was implemented for geometric nonlinear analysis. The material nonlinear behavior was analyzed by considering the matrix degradation due to the progressive failure in the matrix and matrix-fiber interface after initial failure. The result of the geometric nonlinear analysis showed good agreement with the other exact and numerical solutions. The results of the combined analyses considered both geometric and material nonlinear analyses were compared with the experiments in which internal pressure was applied to the filament wound antisymmetric tubes.

A Study of Normalized Smoothed Particle Hydrodynamics (정규 완화입자유동법의 고찰)

  • 박정수;이진성;박희덕;김용석;이재민
    • Journal of the Korea Institute of Military Science and Technology
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    • v.6 no.4
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    • pp.89-99
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    • 2003
  • Smoothed particle hydrodynamics, SPH, is a gridless Lagrangian technique which is a useful alternative numerical analysis method to simulate high velocity deformation problems as well as astrophysical and cosmological problems. The SPH method brings about some difficulties such as tensile Instability and stress oscillation. A new SPH method, so called normalized algorithm, was introduced to overcome these difficulties. In this paper we aimed to estimate this method and have developed an one-dimensional normalized SPH program. The high velocity impact model of an aluminum bar has been analysed by using the developed program and a commercial hydrocode, LS-DYNA. The obtained numerical results showed good agreement with the results of the same model in reference. The program also showed more stable results than those of LS-DYNA in stress oscillation. We hopefully expect that the developed one-dimensional normalized SPH program can be used to solve hydrodynamic problems especially for explosive detonation analysis.

Large deflection analysis of a fiber reinforced composite beam

  • Akbas, Seref D.
    • Steel and Composite Structures
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    • v.27 no.5
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    • pp.567-576
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    • 2018
  • The objective of this work is to analyze large deflections of a fiber reinforced composite cantilever beam under point loads. In the solution of the problem, finite element method is used in conjunction with two dimensional (2-D) continuum model. It is known that large deflection problems are geometrically nonlinear problems. The considered non-linear problem is solved considering the total Lagrangian approach with Newton-Raphson iteration method. In the numerical results, the effects of the volume fraction and orientation angles of the fibre on the large deflections of the composite beam are examined and discussed. Also, the difference between the geometrically linear and nonlinear analysis of fiber reinforced composite beam is investigated in detail.

Dynamic analysis of maritime gasbag-type floating bridge subjected to moving loads

  • Wang, Huan-huan;Jin, Xian-long
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.2
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    • pp.137-152
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    • 2016
  • This paper studied the dynamic response of a new gasbag-type floating bridge under the effect of a moving load. The arbitrary Lagrangian-Eulerian (ALE) method was used to simulate the movement of seawater and air, and the penalty-based method was used to study the coupling between gasbags and fluid. A three-dimensional finite element model of the floating bridge was established, and the numerical model was verified by comparing with the experimental results. In order to prevent resonance, the natural frequencies and flexural mode shapes were analyzed. Based on the initial state analysis, the dynamic responses of the floating bridge subjected to different moving loads were investigated. Vertical displacements and radial deformations of gasbags under different loads were compared, and principal stress distributions of gasbags were researched while driving. The hinge forces between adjacent modules were calculated to ensure the connection strength. Besides, the floating bridge under wave impacting was analyzed. Those results can provide references for the analysis and design of this new floating bridge.