• 제목/요약/키워드: Time Integration

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박판 성형에서의 스프링백 해석과 산업적 응용 (Springback Analyses in Sheet Metal Stamping Processes)

  • 양동열;이상욱;윤정환;유동진
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 제2회 박판성형심포지엄 논문집 박판성형기술의 현재와 미래
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    • pp.1-8
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    • 1998
  • The explicit and implicit time integration methods are applied effectively to analyze sheet metal stamping processes, which include the forming stage and the springback stage consecutively. The explicit time integration method has better merits in the forming stage including highly complicated three-dimensional contact conditions. By contrary, the implicit time integration method is better for analyzing springback since the complicated contact conditions are removd and the computing time to get the final static state is short. In this work, brief descriptions of the formulation and the factor study for springback simulations are presented. Further, the simulated results for the S-rail and the roof pannel stamping processes are shown and discussed.

상태변수를 갖는 비탄성 구성식 적분법의 일반화 (Generalization of Integration Methods for Complex Inelastic Constitutive Equations with State Variables)

  • 윤삼손;이순복;김종범;이형연;유봉
    • 대한기계학회논문집A
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    • 제24권5호
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    • pp.1075-1083
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    • 2000
  • The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. These equations consist of the definition of inelastic strain and the evolution of the state variables introduced to quantify the irreversible processes occurred in the material. With respect to the definition of the inelastic strain, the inelastic constitutive models can be categorized into elastoplastic model, unified viscoplastic model and separated viscoplastic model and the different integration methods have been applied to each category. In the present investigation, the generalized integration method applicable for various types of constitutive equations is developed and implemented into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using line-search technique in combination with Newton method. The strategy to control the time increment for the improvement of the accuracy of the numerical integration is proposed. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method. The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. These equations consist of the definition of inelastic strain and the evolution of the state variables introduced to quantify the irreversible processes occurred in the material. With respect to the definition of the inelastic strain, the inelastic constitutive models can be categorized into elastoplastic model, unified viscoplastic model and separated viscoplastic model and the different integration methods have been applied to each category. In the present investigation, the generalized integration method applicable for various types of constitutive equations is developed and implemented into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using line-search technique in combination with Newton method. The strategy to control the time increment for the improvement of the accuracy of the numerical integration is proposed. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method.

A virtual parameter to improve stability properties for an integration method

  • Chang, Shuenn-Yih
    • Earthquakes and Structures
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    • 제11권2호
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    • pp.297-313
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    • 2016
  • A virtual parameter is introduced into the formulation of the previously published integration method to improve its stability properties. It seems that the numerical properties of this integration method are almost unaffected by this parameter except for the stability property. As a result, it can have second order accuracy, explicit formulation and controllable numerical dissipation in addition to the enhanced stability property. In fact, it can have unconditional stability for the system with the instantaneous degree of nonlinearity less than or equal to the specified value of the virtual parameter for the modes of interest for each time step.

Fractional Integration in the Context of Periodicity: A Monte Carlo Experiment and an Empirical Study

  • Gil-Alana Luis A.
    • Communications for Statistical Applications and Methods
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    • 제13권3호
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    • pp.587-605
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    • 2006
  • Recent results in applied statistics have shown that the presence of periodicities in time series may influence the estimation and testing of the fractional differencing parameter. In this article, we provide further evidence on the issue by using several procedures of fractional integration. The results show that in the presence of periodicities, the order of integration can be erroneously detected. An empirical application in the context of seasonal data is also carried out at the end of the article.

Logic circuit design for high-speed computing of dynamic response in real-time hybrid simulation using FPGA-based system

  • Igarashi, Akira
    • Smart Structures and Systems
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    • 제14권6호
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    • pp.1131-1150
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    • 2014
  • One of the issues in extending the range of applicable problems of real-time hybrid simulation is the computation speed of the simulator when large-scale computational models with a large number of DOF are used. In this study, functionality of real-time dynamic simulation of MDOF systems is achieved by creating a logic circuit that performs the step-by-step numerical time integration of the equations of motion of the system. The designed logic circuit can be implemented to an FPGA-based system; FPGA (Field Programmable Gate Array) allows large-scale parallel computing by implementing a number of arithmetic operators within the device. The operator splitting method is used as the numerical time integration scheme. The logic circuit consists of blocks of circuits that perform numerical arithmetic operations that appear in the integration scheme, including addition and multiplication of floating-point numbers, registers to store the intermediate data, and data busses connecting these elements to transmit various information including the floating-point numerical data among them. Case study on several types of linear and nonlinear MDOF system models shows that use of resource sharing in logic synthesis is crucial for effective application of FPGA to real-time dynamic simulation of structural response with time step interval of 1 ms.

도서관협력수업의 통합모형 제안에 관한 연구 (A Study on the Proposal of an Integration Model for Library Collaboration Instruction)

  • 이병기
    • 한국문헌정보학회지
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    • 제57권4호
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    • pp.25-47
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    • 2023
  • 도서관협력수업은 사서교사와 교과교사가 공동으로 수업을 계획하고, 공동으로 수업을 전개하며, 공동으로 평가하는 과정이다. 도서관협력수업은 협력의 수준, 정보활동, 시간표 운영 등 다양한 차원에서 연구되고 모델이 개발되어 왔다. 그럼에도 도서관협력수업을 전체적으로 총괄하는 통합모형이 개발되어 있지 않다. 본 연구는 5가지 차원(협력수준, 정보활동, 협력접근, 시간운영, 기술통합)에서 다양한 모형을 비교·분석하여 도서관협력수업의 모형을 도식적으로 제안하는데 목적이 있다. 본 연구에서 제안한 도서관협력수업 통합모형의 주요 내용은 다음과 같다. 첫째, 협력수준 차원에서, 통합모형은 도서관활용 교사수업, 범 교과 통합교육과정 등을 반영하였다. 둘째, 정보활동 차원에서, 통합모형에는 정보활용과정과 더불어 사회 및 과학교과 탐구활동을 반영하였다. 셋째, 협력접근 차원에서 통합모형은 주도-관찰수업, 병렬 스테이션 수업 등으로 구분하였다. 넷째, 시간 운영 차원에서는 한국의 국가수준 교육과정과 시간표 편성 방식을 고려하였다. 다섯째, 기술통합의 차원에서, 통합모형은 PICRAT 모형을 도서관협력수업의 관점에서 수정, 반영하였다.

항공전자 시스템 개발에 관한 연구 (A Study on the Development of an Avionics System)

  • 양성욱;이상철
    • 한국항공운항학회지
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    • 제15권1호
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    • pp.61-67
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    • 2007
  • The importance and cost of avionics system in the integration of an aircraft is continuously increasing. And we can expect enlarged software portion in the system integration for the more intelligent, reliable, and automated avionics system. Both military and commercial avionics community have moved toward commercial-off-the-shelf(COTS) equipment and open systems architecture not only to increase affordability but also to reduce acquisition cost, shorten development time and risk. The same concept is applied in developing avionics test system used for the avionics system integration test. In this paper, we present important topics in the development of avionics system including real-time operating system, interconnect data bus, software development methodology, software development process, and system integration test.

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Nonlinear dynamic analysis by Dynamic Relaxation method

  • Rezaiee-Pajand, M.;Alamatian, J.
    • Structural Engineering and Mechanics
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    • 제28권5호
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    • pp.549-570
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    • 2008
  • Numerical integration is an efficient approach for nonlinear dynamic analysis. In this paper, general category of the implicit integration errors will be discussed. In order to decrease the errors, Dynamic Relaxation method with modified time step (MFT) will be used. This procedure leads to an alternative algorithm which is very general and can be utilized with any implicit integration scheme. For numerical verification of the proposed technique, some single and multi degrees of freedom nonlinear dynamic systems will be analyzed. Moreover, results are compared with both exact and other available solutions. Suitable accuracy, high efficiency, simplicity, vector operations and automatic procedures are the main merits of the new algorithm in solving nonlinear dynamic problems.

Extended implicit integration process by utilizing nonlinear dynamics in finite element

  • Mohammadzadeh, Saeed;Ghassemieh, Mehdi;Park, Yeonho
    • Structural Engineering and Mechanics
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    • 제64권4호
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    • pp.495-504
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    • 2017
  • This paper proposes a new direct numerical integration algorithm for solving equation of motion in structural dynamics problems with nonlinear stiffness. The new implicit method's degree of accuracy is higher than that of existing methods due to the higher order of the acceleration. Two parameters are defined, leading to a new family of unconditionally stable methods, which helps to take greater time steps in integration and eliminate concerns about the duration of solving. The method developed can be utilized for a number of solid plane finite elements, examples of which are given to compare the proposed method with existing ones. The results indicate the superiority of the proposed method.

Meshfree consolidation analysis of saturated porous media with stabilized conforming nodal integration formulation

  • Wang, Dongdong;Xie, Pinkang;Lu, Hongsheng
    • Interaction and multiscale mechanics
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    • 제6권2호
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    • pp.107-125
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    • 2013
  • A strain smoothing meshfree formulation with stabilized conforming nodal integration is presented for modeling the consolidation process in saturated porous media. In the present method, nodal strain smoothing is consistently introduced into the meshfree approximation of strain and pore pressure gradient variables associated with the saturated porous media. Meanwhile, in order to achieve a consistent numerical implementation, a smoothing approximation of the meshfree shape function within a nodal representative domain is also proposed in the stiffness construction. The resulting discrete system of equations is all expressed in smoothed nodal measures that are very efficient for numerical evaluation. Subsequently the space-time fully discrete equations are further established by the generalized trapezoidal rule for time integration. The effectiveness of the proposed meshfree consolidation analysis method is systematically illustrated by several benchmark problems.