• 제목/요약/키워드: nonlinear static function

검색결과 113건 처리시간 0.023초

비국부 적분 연산기로 표현되는 페리다이나믹 방정식의 수렴성 (Convergence of Nonlocal Integral Operator in Peridynamics)

  • 조광현;하윤도
    • 한국전산구조공학회논문집
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    • 제34권3호
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    • pp.151-157
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    • 2021
  • 본 연구에서는 비국부 적분 연산기로 표현되는 페리다이나믹 방정식의 수렴성을 검토한다. 정적/준정적 손상 해석 문제를 효율적으로 해석하기 위해 페리다이나믹 방정식의 implicit 정식화가 필요하다. 이 과정에서 페리다이나믹 비국부 적분 방정식으로부터 대수방정식 형태가 나타나게 되어 시스템 행렬 계산을 위해 많은 시간이 소요되기 때문에, 효율적인 계산을 위해 수렴성이 중요한 요소가 된다. 특히 radial influence 함수를 적분 kernel로 사용하는 경우 fractional Laplacian 적분 방정식이 유도된다. 비국부 적분 연산기의 교윳값 성질에 의해 대수방정식의 condition number가 radial influence 함수의 차수 및 비국부 영역의 크기에 영향을 받는 것이 수학적으로 확인되었다. 본 연구에서는 이를 토대로 균열이 있는 페리다이나믹 정적 해석 문제를 Newton-Raphson 방법으로 해석할 때 적분 커널의 차수, 비국부 영역의 크기 등이 대수방정식의 condition number와 preconditioned conjugate gradient (PCG) 방법으로 계산 시 수렴성 및 계산 시간에 미치는 영향을 수치적으로 분석한다.

비선형거동을 고려한 방진고무의 강성해석 및 최적설계 (The Stiffness Analysis and Optimization of the Rubber Seat Considering Nonlinear Behavior)

  • 이동훈;서상호;윤영훈;박진구
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.244-249
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    • 2002
  • Rubber seat is extensively used to reduce the vibration of machine or structure. Over the years an enormous effort has been put into developing procedures to provide properties of rubber material for design function. However, there are still a lot of difficulties to analyze static characteristics of rubber components with hyper elasticity and nonlinear large deformation. In this paper material property is obtained by strain-stress curve using a tension test. Mooney-Rivlin Coefficients are gotten by fitting strain-stress curve. The visco-elastic characteristics of refrigerator rubber mount is determined by using ANSYS. And to minimize the rubber stiffness, the rubber seat shape optimization is performed.

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아로메틱 헤테로고리 폴리머의 비선형 광학적 성질에 대한 이론적 연구 (Theoretical Study of the Nonlinear Optical Properties of Aromatic Heterocyclic Polymers)

  • 박춘배;송성익;송민종;김현주;최우성
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 1993년도 추계학술대회 논문집
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    • pp.90-92
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    • 1993
  • PM3 semiempirical calculations ions have performed on the three aromatic heterocyclic polymers. The dipole moment (${\mu}$7), static 1st-orders(${\alpha}$), 2nd-order (${\beta}$), and 3rd-order polarizabilities(${\gamma}$) were investigated to study the nonlinear optical properties of the polythiophene, polyfuran, and polypyrrole systems. As a function of n, ${\alpha}$ and ${\gamma}$ increases much more rapidly for the polythiophene systems than for the polyfuran and Polypyrrole systems due to the pi-electron delocalization.

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비대칭 자기 진동에 대한 PID 자동동조 알고리듬 (PID Autotuning Algorithm with an Asymmetric Self-oscillation)

  • 오승록
    • 전기전자학회논문지
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    • 제6권2호
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    • pp.128-135
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    • 2002
  • 선형 플랜트의 극한 이득과 주기를 찾기 위해 포화함수를 이용하여 자기 진동을 발생 시켰다. 포화함수 사용으로 극한이득과 주기의 정확성을 높였다. 발견한 극한 이득과 극한 주기는 PID 제어기 값을 구하는데 사용하였다. 정적인 부하 왜란 등이 있는 경우 비대칭 진동이 발생할 수 있다. 발생하는 비대칭 자기 진동을 분석하였고 분석결과로부터 극한 이득과 주기를 찾는 방법을 제안하였다.

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비선형거동을 고려한 방진고무의 강성해석 및 최적설계 (The Stifiness Analysis and Optimization of the Elastomer Considering Nonlinear Behavior)

  • Lee, Dong-hoon;Seo, Sang-ho;Park, Jin-goo
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문초록집
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    • pp.330.1-330
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    • 2002
  • Elastomer is extensively used to reduce of vibration machine or structure. Over the years an enormous effort has been put into developing procedures to provide properties of rubber material fur design function. However, there are still a lot of difficulties to analyze static characteristic of rubber components with hyper elasticity and nonlinear large deformation. In this paper material property is obtained by strain-stress curve using a tension test. (omitted)

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Rate-sensitive analysis of framed structures Part I: model formulation and verification

  • Izzuddin, B.A.;Fang, Q.
    • Structural Engineering and Mechanics
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    • 제5권3호
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    • pp.221-237
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    • 1997
  • This paper presents a new uniaxial material model for rate-sensitive analysis addressing both the transient and steady-state responses. The new model adopts visco-plastic theory for the rate-sensitive response, and employs a three-parameter representation of the overstress as a function of the strain-rate. The third parameter is introduced in the new model to control its transient response characteristics, and to provide flexibility in fitting test data on the variation of overstress with strain-rate. Since the governing visco-plastic differential equation cannot be integrated analytically due to its inherent nonlinearity, a new single-step numerical integration procedure is proposed, which leads to high levels of accuracy almost independent of the size of the integration time-step. The new model is implemented within the nonlinear analysis program ADAPTIC, which is used to provide several verification examples and comparison with other experimental and numerical results. The companion paper extends the three-parameter model to trilinear static stress-strain relationships for steel and concrete, and presents application examples of the proposed models.

DSTATCOM의 순시 유효전력 보상을 이용한 선로의 전류 개선 (Improvement of line Current using Instantaneous Real Power Compensation of DSTATCOM)

  • 정수영;김태현;문승일;권욱현
    • 대한전기학회논문지:전력기술부문A
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    • 제51권7호
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    • pp.327-332
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    • 2002
  • In this paper, conventional reactive power compensation is defined and instantaneous real control concept for shunt converters is proposed. This equipment incorporates the compensation function of harmonics at the distribution line by nonlinear load. These methodologies are applied to IEEE 13 distribution system with the modeling of nonlinear load using EMTEDC/PSCAD package. Simulation with EMTDC results presented to confirm that the new approach has better performance than those obtained by controllers based on traditional concepts of reactive power compensation.

자기 동적 신경망을 이용한 RCP 감시 시스템의 경보진단 (Alarm Diagnosis of RCP Monitoring System using Self Dynamic Neural Networks)

  • 유동완;김동훈;성승환;구인수;박성욱;서보혁
    • 대한전기학회논문지:시스템및제어부문D
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    • 제49권9호
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    • pp.512-519
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    • 2000
  • A Neural networks has been used for a expert system and fault diagnosis system. It is possible to nonlinear function mapping and parallel processing. Therefore It has been developing for a Diagnosis system of nuclear plower plant. In general Neural Networks is a static mapping but Dynamic Neural Network(DNN) is dynamic mapping.쪼두 a fault occur in system a state of system is changed with transient state. Because of a previous state signal is considered as a information DNN is better suited for diagnosis systems than static neural network. But a DNN has many weights so a real time implementation of diagnosis system is in need of a rapid network architecture. This paper presents a algorithm for RCP monitoring Alarm diagnosis system using Self Dynamic Neural Network(SDNN). SDNN has considerably fewer weights than a general DNN. Since there is no interlink among the hidden layer. The effectiveness of Alarm diagnosis system using the proposed algorithm is demonstrated by applying to RCP monitoring in Nuclear power plant.

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비선형 시스템 제어를 위한 동적 신경망의 최적화 (Optimization of Dynamic Neural Networks for Nonlinear System control)

  • 유동완;이진하;이영석;서보혁
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 B
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    • pp.740-743
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    • 1998
  • This paper presents an optimization algorithm for a stable Dynamic Neural Network (DNN) using genetic algorithm. Optimized DNN is applied to a problem of controlling nonlinear dynamical systems. DNN is dynamic mapping and is better suited for dynamical systems than static forward neural network. The real time implementation is very important, and thus the neuro controller also needs to be designed such that it converges with a relatively small number of training cycles. SDNN has considerably fewer weights than DNN. The object of proposed algorithm is to the number of self dynamic neuron node and the gradient of activation functions are simultaneously optimized by genetic algorithms. To guarantee convergence, an analytic method based on the Lyapunov function is used to find a stable learning for the SDNN. The ability and effectiveness of identifying and controlling, a nonlinear dynamic system using the proposed optimized SDNN considering stability' is demonstrated by case studies.

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스위칭함수를 이용한 3상 인버터의 특성 해석 (Characteristic Analysis of Three-phase Inverters Using Switching Function)

  • 백수현;김용;맹인재;박철현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 A
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    • pp.594-596
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    • 1996
  • Static power converters can be analyzed by means of available circuit simulation software packages such as PSPICE. This paper proposes the macro models developing technique for three-phase power converters using the transfer function approach. Also, these models are based on converter switching functions rather than actual circuit configuration. In this approach, VSI(Voltage Source Inverter) and CSI(Current Source Inverter) are simulated as multiport networks avoiding nonlinear macromodels of the power switches.

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