• Title/Summary/Keyword: nonlinear static function

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Flame Dynamic Response to Inlet Flow Perturbation in a Turbulent Premixed Combustor (난류 예혼합 연소기에서의 흡입 유동 섭동에 대한 화염의 동적 거동)

  • Kim, Dae-Sik
    • Journal of the Korean Society of Combustion
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    • v.14 no.4
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    • pp.48-53
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    • 2009
  • This paper describes the forced flame response in a turbulent premixed gas turbine combustor. The fuel was premixed with the air upstream of a choked inlet to avoid equivalence ratio fluctuations. To impose the inlet flow velocity, a siren type modulation device was developed using an AC motor, rotating and static plates. Measurements were made of the velocity fluctuation in the nozzle using hot wire anemometry and of the heat release fluctuation in the combustor using chemiluminescence emission. The test results showed that flame length as well as geometry was strongly dependent upon modulation frequency in addition to operating conditions such as inlet velocity. Convection delay time between the velocity perturbation and heat release fluctuations was calculated using phase information of the transfer function, which agreed well with the results of flame length measurements. Also, basic characteristics of the flame nonlinear response shown in the current test conditions were introduced.

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A Nonlinear Programming Model for Evaluating Public Transit Fare Structure (비선형설계모형을 이용한 대중교통요금구조평가)

  • 조중래
    • Journal of Korean Society of Transportation
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    • v.7 no.2
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    • pp.17-27
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    • 1989
  • A nonlinear programming model for evaluating public transit fare system is proposed. The model finds transit fare level and the structure that maximizes gross fare-box revenue subject to constraints on minimum ridership and the form of the fare equations. It is assumed that the demand for transit is a function of fare and its own-fare elasticity. It is assumed that the demand for transit is a function of fare and its own-fare elasticity. It is also assumed that the conditions including fare of the other modes are unchanged ; i.e., partial equilibrium. Empirical study has been performed for the case of Seoul subway system. This study includes an analysis of fare structure ; flat system and distance-based fare system. Sensitivity and comperative static analysis for elasticity has been also demonstrated.

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Parameter Optimization of a Micro-Static Mixer Using Successive Response Surface Method (순차적 반응표면법을 이용한 마이크로 정적 믹서의 최적설계)

  • Han, Seog-Young;Maeng, Joo-Sung;Kim, Sung-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.9
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    • pp.1314-1319
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    • 2004
  • In this study, parameter optimization of micro-static mixer with a cantilever beam was accomplished for maximizing the mixing efficiency by using successive response surface approximations. Variables were chosen as the length of cantilever beam and the angle between horizontal and the cantilever beam. Sequential approximate optimization method was used to deal with both highly nonlinear and non-smooth characteristics of flow field in a micro-static mixer. Shape optimization problem of a micro-static mixer can be divided into a series of simple subproblems. Approximation to solve the subproblems was performed by response surface approximation, which does not require the sensitivity analysis. To verify the reliability of approximated objective function and the accuracy of it, ANOVA analysis and variables selection method were implemented, respectively. It was verified that successive response surface approximation worked very well and the mixing efficiency was improved very much comparing with the initial shape of a micro-static mixer.

Nonlinear Response Structural Optimization of a Spacer Grid Spring for a Nuclear Fuel Rod Using the Equivalent Loads (등가하중을 이용한 원자로 핵연료봉 지지격자 스프링의 비선형 응답 구조 최적설계)

  • Kim, Do-Won;Lee, Hyun-Ah;Song, Ki-Nam;Kim, Yong-ll;Park, Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.12
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    • pp.1165-1172
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    • 2007
  • The spacer grid set is a part of a nuclear fuel assembly. The set has a spring and the spring supports the fuel rods safely. Although material nonlinearity is involved in the deformation of the spring, nonlinearity has not been considered in design of the spring. Recently a nonlinear response structural optimization method has been developed using equivalent loads. It is called nonlinear response optimization equivalent loads (NROEL). In NROEL, the external loads are transformed to the equivalent loads (EL) for linear static analysis and linear response optimization is carried out based on the EL in a cyclic manner until the convergence criteria are satisfied. EL is the load set which generates the same response field of linear analysis as that of nonlinear analysis. Shape optimization of the spring is carried out based on EL. The objective function is defined by minimizing the maximum stress in the spring while mass is limited and the support force of the spring is larger than a certain value. The results are verified by nonlinear response analysis. ABAQUS is used for nonlinear response analysis and GENESIS is employed for linear response optimization.

Analysis and Experiment of the Dynamic Characteristics of Rubber Materials for Anti-Vibration under Compression (압축하중을 받는 방진고무의 동특성 해석 및 실험)

  • 김국원;임종락;한용희;손희기;안태길
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.602-607
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    • 1998
  • Rubber materials are extensively used in various machine design application, mainly for vibration/shock/noise control devices. 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 in the understanding of dynamic characteristics of the rubber components in compression. In this paper, the dynamic characteristics of rubber materials for anti-vibration under compression were investigated. Dynamic and static tests for rubber material with 3 different hardness were performed. In dynamic tests, non-resonance method, impedance method, was used to obtain the complex modulus (storage modulus and loss factor) and the effects of static pre-strain on the dynamic characteristics were investigated. Also, a relation equation between linear dynamic and nonlinear static behavior of rubber material was discussed and its usefulness to predict their combined effects was investigated.

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Analysis and Experiment of the Dynamic Characteristics of Rubber Materials for Anti-Vibration under Compression (압축하중을 받는 방진고무의 동특성 해석 및 실험)

  • 김국원;임종락;한용희;손희기;안태길
    • Journal of KSNVE
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    • v.8 no.5
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    • pp.900-907
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    • 1998
  • Rubber materials are extensively used in various machine design application, mainly for vibration/shock/noise control devices. 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 in the understanding of dynamic characteristics of the rubber components in compression. In this paper, the dynamic characteristics of rubber materials for anti-vibration under compression were investigated. Dynamic and static tests for rubber material with 3 different hardness were performed. In dynamic tests, non-resonance method, impedance method, was used to obtain the complex modulus(storage modulus and loss factor) and the effects of static pre-strain on the dynamic characteristics were investigated. Also, a relation equation between linear dynamic and nonlinear static behavior of rubber material was discussed and its usefulness to predict their combined effects was investigated.

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Rate-sensitive analysis of framed structures part II: implementation and application to steel and R/C frames

  • Fang, Q.;Izzuddin, B.A.
    • Structural Engineering and Mechanics
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    • v.5 no.3
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    • pp.239-256
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    • 1997
  • The companion paper presents a new three-parameter model for the uniaxial rate-sensitive material response, which is based on a bilinear static stress-strain relationship with kinematic strain-hardening. This paper extends the proposed model to trilinear static stress-strain relationships for steel and concrete, and discusses the implementation of the new models within an incremental-iterative solution procedure. For steel, the three-parameter rate-function is employed with a trilinear static stress-strain relationship, which allows the utilisation of different levels of rate-sensitivity for the plastic plateau and strain-hardening ranges. For concrete, on the other hand, two trilinear stress-strain relationships are used for tension and compression, where rate-sensitivity is accounted for in the strain-softening range. Both models have been implemented within the nonlinear analysis program ADAPTIC, which is used herein to provide verification for the models, and to demonstrate their applicability to the rate-sensitive analysis of steel and reinforced concrete structures.

The static thrust and normal force calculation of a Hybrid type LPM as a servo actuator (서보 액튜레이터용 Hybrid형 LPM의 정추력 및 수직력 계산)

  • Cho, Yun-Hyou;Koo, Dae-Hyon;Lee, Jae-Bong
    • Proceedings of the KIEE Conference
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    • 1994.07a
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    • pp.43-45
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    • 1994
  • This paper proposes the new method to calculate the static thrust and normal force of a hybrid type double-sided linear pulse motor by the coenergy which considered the magnetic nonlinealities. In the process of the computation, the nonlinear characteristics of the magnetic material were interpolated by the cubic spline method. And, to investigate the characteristics of the hybrid type DLPM, the static thrust and the normal force is shown as a function of displacement, input current and air airgap length. Also the simulation values are compared with the experimental ones obtained from a hybrid type DLPM.

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The Static Thrust Calculation of a Hybrid Type Double-sided Linear Pulse Motor (Hybrid 형 양측식LPM의 정추력 계산)

  • 조윤현;이재봉
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.5
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    • pp.753-760
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    • 1994
  • This paper proposes a new method to compute the static thrust of a hybrid-type LPM by the coenergy method, which can be applied to a nonlinear programming of the optimization techniques for the optimal design. In the process of the computation, the magnetic nonlinearities of the permanent magnet, the primary and the secondary core are interpolated by the cubic spline method. And then, the equivalent magnetic circuit including the airgap reluctance which is a function of the displacement is modelled by the permeance method. The static thrust which is a derivative of the coenergy is computed by the Newton Raphson method at each displacement. To verify this proposed method, the results of the compjutation are compaction with those of the experiment obtained from the DLPM with 2 phase and 4 poles.

Design of the Robust Controller for the Discrete-Time Nonlinear System with Time-Delay Via Fuzzy Approach (퍼지 기법을 이용한 시간 지연을 가지는 이산시간 비선형 시스템에 대한 강인 제어기 설계)

  • Kim, Taek-Ryong;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2723-2725
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    • 2005
  • In this paper, a robust $H{\infty}$ stabilization problem to a uncertain discrete-time nonlinear systems with time-delay via fuzzy static output feedback is investigated. The Takagi-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-delayed state. Then parallel distributed compensation technique is used for designing of the robust fuzzy controller. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H{\infty}$ controllers are given in terms of linear matrix inequalities via similarity transform and congruence transform technique.

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