• 제목/요약/키워드: Explicit integration

검색결과 211건 처리시간 0.03초

직접미분 설계민감도 해석을 이용한 박판금속성형 공정변수 최적화 (I) -설계민감도 해석 - (Optimum Design of the Process Parameter in Sheet Metal Forming with Design Sensitivity Analysis using the Direct Differentiation Approach (I) -Design Sensitivity Analysis-)

  • 김세호;허훈
    • 대한기계학회논문집A
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    • 제26권11호
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    • pp.2245-2252
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    • 2002
  • Design sensitivity analysis scheme is proposed in an elasto -plastic finite element method with explicit time integration using a direct differentiation method. The direct differentiation is concerned with large deformation, the elasto-plastic constitutive relation, shell elements with reduced integration and the contact scheme. The design sensitivities with respect to the process parameter are calculated with the direct analytical differentiation of the governing equation. The sensitivity results obtained from the present theory are compared with that obtained by the finite difference method in a class of sheet metal forming problems such as hemi-spherical stretching and cylindrical cup deep-drawing. The result shows good agreement with the finite difference method and demonstrates that the preposed sensitivity calculation scheme is a pplicable in the complicated sheet metal forming analysis and design.

An Error Embedded Runge-Kutta Method for Initial Value Problems

  • Bu, Sunyoung;Jung, WonKyu;Kim, Philsu
    • Kyungpook Mathematical Journal
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    • 제56권2호
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    • pp.311-327
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    • 2016
  • In this paper, we propose an error embedded Runge-Kutta method to improve the traditional embedded Runge-Kutta method. The proposed scheme can be applied into most explicit embedded Runge-Kutta methods. At each integration step, the proposed method is comprised of two equations for the solution and the error, respectively. These solution and error are obtained by solving an initial value problem whose solution has the information of the error at each integration step. The constructed algorithm controls both the error and the time step size simultaneously and possesses a good performance in the computational cost compared to the original method. For the assessment of the effectiveness, the van der Pol equation and another one having a difficulty for the global error control are numerically solved. Finally, a two-body Kepler problem is also used to assess the efficiency of the proposed algorithm.

A co-rotational 8-node assumed strain element for large displacement elasto-plastic analysis of plates and shells

  • Kim, K.D.
    • Structural Engineering and Mechanics
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    • 제15권2호
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    • pp.199-223
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    • 2003
  • The formulation of a non-linear shear deformable shell element is presented for the solution of stability problems of stiffened plates and shells. The formulation of the geometrical stiffness presented here is exactly defined on the midsurface and is efficient for analyzing stability problems of thick plates and shells by incorporating bending moment and transverse shear resultant force. As a result of the explicit integration of the tangent stiffness matrix, this formulation is computationally very efficient in incremental nonlinear analysis. The element is free of both membrane and shear locking behaviour by using the assumed strain method such that the element performs very well in the thin shells. By using six degrees of freedom per node, the present element can model stiffened plate and shell structures. The formulation includes large displacement effects and elasto-plastic material behaviour. The material is assumed to be isotropic and elasto-plastic obeying Von Mises's yield condition and its associated flow rules. The results showed good agreement with references and computational efficiency.

오토메이션 API를 사용한 설계 이력 기반 파라메트릭 CAD 모델 번역기의 통합 (Integration of History-based Parametric CAD Model Translators Using Automation API)

  • 김병철;한순흥
    • 한국CDE학회논문집
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    • 제11권3호
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    • pp.164-171
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    • 2006
  • As collaborative design and configuration design are of increasing importance in product development, it becomes essential to exchange the feature and parametric CAD models among participants. A history-based parametric method has been proposed and implemented. But each translator which exchanges the feature and parametric information tends to be heavy because to implement duplicated functions such as the identification of the selected geometries, mapping between features which have different attributes. Furthermore. because the history-based parametric translator uses the procedural model as the neutral format, which is the XML macro file, the history-based parametric translators need a geometric modeling kernel to generate an internal explicit geometric model. To ease the problem, we implemented a shared integration platform, the TransCAD. The TransCAD separates translators from the XML macro files. The translators for various CAD systems need to communicate with only the TransCAD. To support the communication with the TransCAD, we exposed the functions of the TransCAD by using the Automation APIs, which is developed by Microsoft. The Automation APIs of the TransCAD consist of the part modeling functions, the data extraction functions, and the utility functions. Each translator uses these functions to translate a parametric CAD model from the sending CAD system into the XML format, or from the in format into the model of the receiving CAD system This paper introduces what the TransCAD is and how it works for the exchange of the feature and parametric models.

FEM investigation of SFRCs using a substepping integration of constitutive equations

  • Golpasand, Gholamreza B.;Farzam, Masood;Shishvan, Siamak S.
    • Computers and Concrete
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    • 제25권2호
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    • pp.181-192
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    • 2020
  • Nowadays, steel fiber reinforced concretes (SFRCs) are widely used in practical applications. Significant experimental research has thus been carried out to determine the constitutive equations that represent the behavior of SFRCs under multiaxial loadings. However, numerical modelling of SFRCs via FEM has been challenging due to the complexities of the implementation of these constitutive equations. In this study, following the literature, a plasticity model is constructed for the behavior of SFRCs that involves the Willam-Warnke failure surface with the relevant evolution laws and a non-associated flow rule for determining the plastic deformations. For the precise (yet rapid) integration of the constitutive equations, an explicit substepping scheme consisting of yield intersection and drift correction algorithms is employed and thus implemented in ABAQUS via UMAT. The FEM model includes various material parameters that are determined from the experimental data. Three sets of parameters are used in the numerical simulations. While the first set is from the experiments that are conducted in this study on SFRC specimens with various contents of steel fibers, the other two sets are from the experiments reported in the literature. The response of SFRCs under multiaxial compression obtained from various numerical simulations are compared with the experimental data. The good agreement between numerical results and the experimental data indicates that not only the adopted plasticity model represents the behavior of SFRCs very well but also the implemented integration scheme can be employed in practical applications of SFRCs.

연강 판재에 대한 연강 구의 고속경사충돌 수치해석 (Numerical Simulation of High-Velocity Oblique Impact of Mild Steel Spheres Against Mild Steel Plates)

  • 유요한;장순남;정동택
    • 대한기계학회논문집A
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    • 제26권3호
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    • pp.576-585
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    • 2002
  • A three-dimensional Lagrangian explicit time-integration finite element code for analyzing the dynamic impact phenomena was developed. It uses four node tetrahedral elements. In order to consider the effects of strain rate hardening, strain hardening and thermal softening, which are frequently observed in high-velocity deformation phenomena, Johnson-Cook model is used as constitutive model. For more accurate and robust contact force computation, the defense node contact algorithm was adopted and implemented. In order to evaluate the performance of the newly developed three-dimensional hydrocode NET3D, numerical simulations of the oblique impact of mild steel plate by mild steel sphere were carried out. Ballistic limit about various oblique angle between 0 degree and 80 degree was estimated through a series of simulations with different initial velocities of sphere. Element eroding by equivalent plastic strain was applied to mild steel spheres and targets. Ballistic limits and fracture characteristics obtained from simulation were compared with experimental results conducted by Finnegan et al. From numerical studies, the following conclusions were reached. (1) Simulations could successfully reproduce the key features observed in experiment such as tensile failure termed "disking"at normal impacts and outwards bending of partially formed plus segments termed "hinge-mode"at oblique impacts. (2) Simulation results fur 60 degrees oblique impact at 0.70 km/s and 0.91 km/s were compared with experimental results and Eulerian hydrocode CTH simulation results. The Lagrangian code NET3D is superior to Eulerian code CTH in the computational accuracy. Agreement with the experimentally obtained final deformed cross-sections of the projectile is excellent. (3) Agreement with the experimental ballistic limit data, particularly at the high-obliquity impacts, is reasonably good. (4) The simulation result is not very sensitive to eroding condition but slightly influenced by friction coefficient.

다중판재의 고속충돌에 관한 최적설계 (Optimal Design of a Multi-Layered Plate Structure Under High-Velocity Impact)

  • 윤덕현;박명수;정동택;유정훈
    • 대한기계학회논문집A
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    • 제27권10호
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    • pp.1793-1799
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    • 2003
  • An optimal design of a multi-layered plate structure to endure high-velocity impact has been suggested by using size optimization after numerical simulations. The NET2D, a Lagrangian explicit time-integration finite element code for analyzing high-velocity impact, was used to find the parameters for the optimization. Three different materials such as mild steel, aluminum for a multi-layered plate structure and die steel for the pellet, were assumed. In order to consider the effects of strain rate hardening, strain hardening and thermal softening, Johnson-Cook model and Phenomenological Material Model were used as constitutive models for the simulation. It was carried out with several different gaps and thickness of layers to figure out the trend in terms of those parameters' changes under the constraint, which is against complete penetration. Also, the measuring domain has been shrunk with several elements to reduce the analyzing time. The response surface method based on the design of experiments was used as optimization algorithms. The optimized thickness of each layer in which perforation does not occur has been obtained at a constant velocity and a designated total thickness. The result is quite acceptable satisfying both the minimized deformation energy and the weight criteria. Furthermore, a conceptual idea for topology optimization was suggested for the future work.

지식경영을 활용한 기업인수 후 합병후 통합(PMI) : 한일은행과 상업은행의 합병 사례를 중심으로 (PMI Using Knowledge Management Viewed from Merger of Hanil Bank and Commercial Bank of Korea)

  • 제갈정웅;최도성
    • 지식경영연구
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    • 제9권1호
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    • pp.97-116
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    • 2008
  • The purpose of this study lies in examining how knowledge management was applied to PMI(Post Merger Integration) in bank merger. Individuals and organizations in Korea have experienced a lot of changes since the 1997 foreign exchange crisis. In such a situation, individuals came to think the only thing to rely on was personal knowledge. Since organizations had to lay off workers in order of their birth year, not based on whether or not individuals had the knowledge necessary for the organizations, they needed to have such a system that could use their explicit knowledge and even outside knowledge or customers' knowledge as IT developed by changing individuals' tacit knowledge into explicit knowledge as needed in order to continue to maintain their competitiveness and for their own development. Thus, each firm started to pitch for the introduction of knowledge management. Individuals started to store their own experience and knowledge in their homepages or blogs. It was Woori Bank, the merged bank of Hanil Bank and Commercial Bank of Korea, that introduced the knowledge management system and Shared Service Center, in which knowledge creation is available, for the first time in the banking business. Its previous name was Hanbit Bank. Hanbit Bank wanted to construct an advanced bank system, bringing in their chief information officer(CIO) from a foreign bank and introducing an IT software used in Spanish banks to adjust all banking processes to it. However, they could not help giving up the plan in the middle of the road since there was a great difference between Spain and Korea in the financial system and more than 30% of software package had to be changed. In this situation, PMI was delayed, and customer inconvenience continued, which made the integration of organizational cultures slow down. As a breakthrough in this situation, knowledge management was introduced. To integrate knowledge of two organizations in the process of PMI is an important job for all merger candidates. This study aims at presenting the successful results from using knowledge management as a means to PMI ahead of other financial institutions so they can apply them to their organizations. PMI was not achieved properly after the two banks had been merged as Hanbit, but entering the era of Woori Bank, workers were integrated under one standard organization following the organizational and knowledge integration, and knowledge management was introduced for an efficient sharing of knowledge among members. A great number of mergers have occurred up to now, but Woori Bank is the first case that used knowledge management as a means to both PMI and competitiveness enhancement. Probably it was an appropriate time when Woori Bank introduced knowledge management as it was organized. Since Hanil Bank and Commercial Bank of Korea had not introduced knowledge management until then, it could use knowledge management as a means to PMI. Using knowledge management, it could create a new organizational culture and increase competitiveness in the banking industry.

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HUGE DIRECT NUMERICAL SIMULATION OF TURBULENT COMBUSTION - TOWARD PERFECT SIMULATION OF IC ENGINE -

  • Tanahashi, Mamoru;Seo, Takehiko;Sato, Makoto;Tsunemi, Akihiko;Miyauchi, Toshio
    • 한국전산유체공학회지
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    • 제13권4호
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    • pp.114-125
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    • 2008
  • Current state and perspective of DNS of turbulence and turbulent combustion are discussed with feature trend of the fastest supercomputer in the world. Based on the perspective of DNS of turbulent combustion, possibility of perfect simulations of IC engine is shown. In 2020, the perfect simulation will be realized with 30 billion grid points by 1EXAFlops supercomputer, which requires 4 months CPU time. The CPU time will be reduced to about 4 days if several developments were achieved in the current fundamental researches. To shorten CPU time required for DNS of turbulent combustion, two numerical methods are introduced to full-explicit full-compressible DNS code. One is compact finite difference filter to reduce spatial resolution requirements and numerical oscillations in small scales, and another is well-known point-implicit scheme to avoid quite small time integration of the order of nanosecond for fully explicit DNS. Availability and accuracy of these numerical methods have been confirmed carefully for auto-ignition, planar laminar flame and turbulent premixed flames. To realize DNS of IC engine with realistic kinetic mechanism, several DNS of elemental combustion process in IC engines has been conducted.

외연적 시간적분법을 이용한 복합재료 섬유 파단 시 음향방출의 3차원 유한요소 해석 (Tree-dimensional FE Analysis of Acoustic Emission of Fiber Breakage using Explicit Time Integration Method)

  • 백승훈;박시형;김승조
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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    • pp.172-175
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    • 2005
  • The numerical simulation is performed for the acoustic emission and the wave propagation due to fiber breakage in single fiber composite plates by the finite element transient analysis. The acoustic emission and the following wave motions from a fiber breakage under a static loading is simulated to investigate the applicability of the explicit finite element method and the equivalent volume force model as a simulation tool of wave propagation and a modeling technique of an acoustic emission. For such a simple case of the damage event under static loading, various parameters affecting the wave motion are investigated for reliable simulations of the impact damage event. The high velocity and the small wave length of the acoustic emission require a refined analysis with dense distribution of the finite element and a small time step. In order to fulfill the requirement for capturing the exact wave propagation and to cover the 3-D simulation, we utilize the parallel FE transient analysis code and the parallel computing technology.

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