• Title/Summary/Keyword: elastic constraint

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A numerical method for dynamic analysis of cam-follower mechanism including impact, separation and elastic deformation (충격분리 및 탄성변형을 포함한 캠-종동절 기구의 동역학적 해석을 위한 수치해석적 방법)

  • Lee, Gi-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.3
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    • pp.519-528
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    • 1998
  • A numerical method is presented for the dynamic analysis of cam and follower. Contact and separation between the cam and the follower are analyzed by imposing dynamic contact condition. The correct solution is obtained without spurious oscillation by imposing the velocity and acceleration constraints as well as the displacement constraint on the possible contact point. The constraints are satisfied by iteratively reducing the constraint errors toward zero, and a simple time integration of ordinary differential equation is employed for the solution of the equation of motion. The solution procedure associated with the iterative scheme is presented, and numerical simulations are conducted to demonstrate the accuracy of the solution.

Three-dimensional Topology Optimization using the CATO Algorithm

  • LEE, Sang Jin;BAE, Jung Eun
    • Architectural research
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    • v.11 no.1
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    • pp.15-23
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    • 2009
  • An application of the constrained adaptive topology optimization (CATO) algorithm is described for three-dimensional topology optimization of engineering structures. The enhanced assumed strain lower order solid finite element (FE) is used to evaluate the values of objective and constraint functions required in optimization process. The strain energy (SE) terms such as elastic and modal SEs are employed as the objective function to be minimized and the initial volume of structures is introduced as the constraint function. The SIMP model is adopted to facilitate the material redistribution and also to produce clearer and more distinct structural topologies. The linearly weighted objective function is introduced to consider both static and dynamic characteristics of structures. Several numerical tests are tackled and it is used to investigate the performance of the proposed three-dimensional topology optimization process. From numerical results, it is found to be that the CATO algorithm is easy to implement and extremely applicable to produce the reasonable optimum topologies for three dimensional optimization problems.

Evaluation for Fracture Toughness with Considering the Thermal Energy (열에너지를 고려한 파괴인성치 고찰)

  • Park, Jae-Sil;Kim, Jeong-Pyo;Seok, Chang-Sung
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.9-15
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    • 2001
  • In the case of a crack propagation, a portion of the work of inelastic deformation near the crack tip is dissipated as heat. In order to understand the thermal effect on fracture toughness, tensile test was carried out using thermocouples to monitor the variation of temperature with SA516 Gr70. The experimental results show that the temperature of specimen was increased $3.6^{\circ}C$ at static load condition. And the thermal effect was investigated connected with the steady-state stress in the vicinity of a crack propagation in the elastic-plastic C-T specimen theoretically. And fracture toughness, the energy to make crack surfaces, presented correctively. The fracture toughness with considering heat at the blunting of the crack tip ws lower about 19.3% than that of ignoring heat. So, it is resonable to apply the fracture toughness with considering thermal energy and it would be good explanation for constraint effect depending on the configuration in the presence of excessive plasticity.

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Optimal design using genetic algorithm with nonlinear inelastic analysis

  • Kim, Seung-Eock;Ma, Sang-Soo
    • Steel and Composite Structures
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    • v.7 no.6
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    • pp.421-440
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    • 2007
  • An optimal design method in cooperated with nonlinear inelastic analysis is presented. The proposed nonlinear inelastic method overcomes the difficulties due to incompatibility between the elastic global analysis and the limit state member design in the conventional LRFD method. The genetic algorithm used is a procedure based on Darwinian notions of survival of the fittest, where selection, crossover, and mutation operators are used to look for high performance ones among sections in the database. They are satisfied with the constraint functions and give the lightest weight to the structure. The objective function taken is the total weight of the steel structure and the constraint functions are load-carrying capacity, serviceability, and ductility requirement. Case studies of a planar portal frame, a space two-story frame, and a three-dimensional steel arch bridge are presented.

DADS 및 MSC/NASTRAN을 이용한 다물체계 유연물체의 동역학 해석

  • Kim, Chang-Bu;Baek, Yun-Gi
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.2
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    • pp.63-71
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    • 2001
  • This paper introduces a method for calculation of dynamic stress occurring in flexible bodies of a moving multibody system by using commercial softwares DADS for dynamic analysis and MSC/NASTRAN for finite element analysis. Three methods for model transient response analysis of a flexible body are summarized. Elastic deformation of a flexible body can be described with normal modes and static modes composed of constraint modes and residual attachment modes. The deformation modes divided into fixed-interface modes and free-interface modes can be determined by using MSC/NASTRAN and selected for dynamic analysis. The dynamic results obtained from DADS are utilized to calculate dynamic stress by using mode-displacement method or mode-acceleration method of MSC/NASTRAN. As a numerical example of the analysis, we used a three dimensional slider-crank model with a flexible connecting rod.

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Welding deformation analysis based on improved equivalent strain method to cover external constraint during cooling stage

  • Kim, Tae-Jun;Jang, Beom-Seon;Kang, Sung-Wook
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.5
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    • pp.805-816
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    • 2015
  • In the present study, external restraints imposed normal to the plate during the cooling stage were determined to be effective for reduction of the angular distortion of butt-welded or fillet-welded plate. A welding analysis model under external force during the cooling stage was idealized as a prismatic member subjected to pure bending. The external restraint was represented by vertical force on both sides of the work piece and bending stress forms in the transverse direction. The additional bending stress distribution across the plate thickness was reflected in the improved inherent strain model, and a set of inherent strain charts with different levels of bending stress were newly calculated. From an elastic linear FE analysis using the inherent strain values taken from the chart and comparing them with those from a 3D thermal elasto-plastic FE analysis, welding deformation can be calculated.

Nonlinear Inelastic Optimal Design Using Genetic Algorithm (유전자 알고리즘을 이용한 비선형 비탄성 최적설계)

  • 마상수;김승억
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.145-152
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    • 2003
  • An optimal design method in cooperated with nonlinear inelastic analysis method is presented. The proposed nonlinear inelastic method overcomes the difficulties due to incompatibility between the elastic global analysis and the limit state member design in the conventional LRFD method. The genetic algorithm uses a procedure based on Darwinian notions of survival of the fittest, where selection, crossover, and mutation operators are used among sections in the database to look for high performance ones. They satisfy the constraint functions and give the lightest weight to the structure. The objective function is set to the total weight of the steel structure and the constraint functions are load-carrying capacities, serviceability, and ductility requirement. Case studies of a three-dimensional frame and a three-dimensional steel arch bridge are presented.

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Evaluation for Fracture Toughness with Considering the Thermal Energy (열에너지를 고려한 파괴인성치 고찰)

  • 김정표;임창현;석창성
    • Journal of the Korean Society of Safety
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    • v.16 no.2
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    • pp.1-6
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    • 2001
  • In the case of a crack propagation a portion of the work of inelastic deformation near the crack tip is dissipated as heat. In order to understand the thermal effect on fracture toughness, tensile tests were carried out using thermocouples to monitor the variation of temperature. The experimental results show that the temperature of specimen was increased $5.4^{\circ}C$ at static load condition. And the thermal effect is investigated connected with the steady-state stress in the vicinity of a crack propagation in the elastic-plastic C-T specimen theoretically. And fracture toughness, the energy to make crack surfaces, presented correctively. The fracture toughness with considering heat at the blunting of the crack tip is lower about 16.9% than that of ignoring heat. So, it is resonable to apply the fracture toughness with considering thermal energy and it would be good explanation for constraint effect depending on the configuration in the presence of excessive plasticity.

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Elastic Analysis of Cold Extrusion Die Set with Stress Ring (보강링을 갖는 냉간 압출 금형 세트의 탄성해석)

  • 안성찬;이근안;김수영;임용택
    • Transactions of Materials Processing
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    • v.11 no.4
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    • pp.355-362
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    • 2002
  • In this study, an axi-symmetric finite element program for elastic analysis of the die set shrink fitted in cold extrusion was developed. The geometrical constraint according to shrink fit was enforced by employing the Lagrange multiplier method. The numerical results for strain and stress distributions in the die set including single and multi stress rings assembled by shrink fit were compared well with the Lame's equation for thick-walled solution available in the literature. To extend the applicability of the analysis program developed, various cases without or with stress ring and with pre-stress applied on stress ring were numerically investigated as well. This numerical approach enables the optimization study to determine optimal dimensions of die set to improve tool life for practical use in industry.

Optimal Design of Dimension of Extrusion Die with Single Stress Ring (단순보강링을 갖는 압출 금형의 치수 최적설계)

  • 안성찬;임용택
    • Transactions of Materials Processing
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    • v.11 no.4
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    • pp.363-370
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    • 2002
  • In this study, an optimal design technique was investigated for determining appropriate dimensions of components of the die set used in the extrusion process. For this, an axi-symmetric elastic finite element program for the analysis of deformation of the shrink fitted die set was developed with the Lagrange multiplier method to implement the constraint condition of shrink fit of stress ring. By coupling the rigid-viscoplastic analysis of extrusion process by CAMPform and elastic analysis of the die set, the optimization study was made by employing optimization program DOT. Considering the various assembly conditions, optimal design was determined for a single stress ring case. It is construed that the proposed design method can be beneficial for improving the tool life of cold extrusion die set at practice.