• Title/Summary/Keyword: nonlinear static function

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

  • Jo, Gwanghyun;Ha, Youn Doh
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.34 no.3
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    • pp.151-157
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    • 2021
  • This paper is devoted to a convergence study of the nonlocal integral operator in peridynamics. The implicit formulation can be an efficient approach to obtain the static/quasi-static solution of crack propagation problems. Implicit methods require constly large-matrix operations. Therefore, convergence is important for improving computational efficiency. When the radial influence function is utilized in the nonlocal integral equation, the fractional Laplacian integral equation is obtained. It has been mathematically proved that the condition number of the system matrix is affected by the order of the radial influence function and nonlocal horizon size. We formulate the static crack problem with peridynamics and utilize Newton-Raphson methods with a preconditioned conjugate gradient scheme to solve this nonlinear stationary system. The convergence behavior and the computational time for solving the implicit algebraic system have been studied with respect to the order of the radial influence function and nonlocal horizon size.

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

  • Lee, Dong-Hoon;Seo, Sang-Ho;Yun, Young-Hoon;Park, Jin-Goo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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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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Theoretical Study of the Nonlinear Optical Properties of Aromatic Heterocyclic Polymers (아로메틱 헤테로고리 폴리머의 비선형 광학적 성질에 대한 이론적 연구)

  • 박춘배;송성익;송민종;김현주;최우성
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1993.11a
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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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PID Autotuning Algorithm with an Asymmetric Self-oscillation (비대칭 자기 진동에 대한 PID 자동동조 알고리듬)

  • Oh, Seung-Rohk
    • Journal of IKEEE
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    • v.6 no.2 s.11
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    • pp.128-135
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    • 2002
  • We use the saturation nonlinear feedback element to generate self-oscillation in order to find an ultimate gain and period of linear plant. The use of saturation nonlinear feedback element can improve accuracy of an ultimate gain and period of unknown linear plant. An ultimate gain and period of linear plant can be used to tune a PID controller parameters. It is possible that an asymmetric oscillation can be occurred under the special circumstances such as with static load disturbance. We analyze an asymmetric self-oscillation. As the results of an analysis, we propose a method to find an ultimate gain and period of linear Plant under the asymmetric self-oscillation.

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

  • Lee, Dong-hoon;Seo, Sang-ho;Park, Jin-goo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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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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    • v.5 no.3
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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.

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

  • Jeong, Su-Yeong;Kim, Tae-Hyeon;Mun, Seung-Il;Gwon, Uk-Hyeon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.7
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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.

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

  • Yu, Dong-Wan;Kim, Dong-Hun;Seong, Seung-Hwan;Gu, In-Su;Park, Seong-Uk;Seo, Bo-Hyeok
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.9
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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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Optimization of Dynamic Neural Networks for Nonlinear System control (비선형 시스템 제어를 위한 동적 신경망의 최적화)

  • Ryoo, Dong-Wan;Lee, Jin-Ha;Lee, Young-Seog;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
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    • 1998.07b
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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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Characteristic Analysis of Three-phase Inverters Using Switching Function (스위칭함수를 이용한 3상 인버터의 특성 해석)

  • Baek, Soo-Hyun;Kim, Yong;Maeng, In-Jae;Park, Cheol-Hyun
    • Proceedings of the KIEE Conference
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    • 1996.07a
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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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