• 제목/요약/키워드: Limit cycle

검색결과 551건 처리시간 0.031초

작은 표면균열의 성장특성에 의한 수명예측 (A Fatigue Life Prediction by Growth Characteristics of a Small Surface Crack)

  • 서창민;임창순;강용구
    • 한국해양공학회지
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    • 제3권2호
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    • pp.108-117
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    • 1989
  • This paper deals with a fatigue life prediction of a surface crack based on the experimentally obtained relationship between surface crack length ratio $a/a_{f}$ and cycle ratio $N/N_{f}$ using micro computer. Firstly $a/a_{f}$-$N/N_{f}$ curves obtained from experimental tests, were assumed as three curves UC(the upper limit curve), LC(the lower limit curve) and MC(the middle curve), and these were utilized to predict the fatigue life. Comparing the calculated values which represent the characteristics of crack growth behaviors from the three assumed curves with the experimental ones, it has been found that in the stable crack growth region, they coincide reasonably well each other. And the differences between the fatigue lives obtained from the assumed curves and the experimental fatigue life did not exceed 20%. Using the characteristics of $a/a_{f}$-$N/N_{f}$ curves, it is possible to predict the da/dN-Kmax curves and the S-$N_{f}$ curves.

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분수 차수 미분 방정식과 주기적인 외력을 가진 Van der Pol 발진기에서의 비선형 거동 해석 (Analysis of Nonlinear Behavior in Fractional Van der Pol Equation with Periodic External Force and Fractional Differential Equation)

  • 이정구;김순환;배영철
    • 한국전자통신학회논문지
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    • 제11권2호
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    • pp.191-196
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    • 2016
  • Van der Pol 발진기는 비선형 제동 현상을 가진 비보존 발진기로서 높은 진폭에서의 에너지는 소산적이며 낮은 진폭들에서는 생성되는 구조를 가진다. 본 논문에서는 분수 차수를 가지는 Van der Pol 발진기 모델에서 주기적 외력을 인가하였을 경우 분수차수로 표현되는 미분 방정식에서 분수차수의 파라미터 변화에 따른 리미트 사이클이 변화 상태를 확인하고자 한다.

CFD-FSI simulation of vortex-induced vibrations of a circular cylinder with low mass-damping

  • Borna, Amir;Habashi, Wagdi G.;McClure, Ghyslaine;Nadarajah, Siva K.
    • Wind and Structures
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    • 제16권5호
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    • pp.411-431
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    • 2013
  • A computational study of vortex-induced transverse vibrations of a cylinder with low mass-damping is presented. An Arbitrary Lagrangian-Eulerian (ALE) formulation of the Unsteady Reynolds-Averaged Navier-Stokes equations (URANS), along with the Spalart-Allmaras (SA) one-equation turbulence model, are coupled conservatively with rigid body motion equations of the cylinder mounted on elastic supports in order to study the amplitude and frequency response of a freely vibrating cylinder, its flow-induced motion, Vortex Street, near-wake flow structure, and unsteady loading in a moderate range of Reynolds numbers. The time accurate response of the cylinder from rest to its limit cycle is studied to explore the effects of Reynolds number on the start of large displacements, motion amplitude, and frequency. The computational results are compared with published physical experiments and numerical studies. The maximum amplitudes of displacements computed for various Reynolds numbers are smaller than the experimental values; however, the overall agreement of the results is quite satisfactory, and the upper branch of the limit-cycle displacement amplitude vs. reduced velocity response is captured, a feature that was missed by other studies. Vortex shedding modes, lock-in phenomena, frequency response, and phase angles are also in agreement with experiments.

An Analysis of the Limit Cycle Oscillation in Digital PID Controlled DC-DC Converters

  • Chang, Changyuan;Hong, Chao;Zhao, Xin;Wu, Cheng'en
    • Journal of Power Electronics
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    • 제17권3호
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    • pp.686-694
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    • 2017
  • Due to the wide use of electronic products, digitally controlled DC-DC converters are attracting more and more attention in recent years. However, digital control strategies may introduce undesirable Limit Cycle Oscillation (LCO) due to quantization effects in the Analog-to-Digital Converter (ADC) and Digital Pulse Width Modulator (DPWM). This results in decreases in the quality of the output voltage and the efficiency of the system. Meanwhile, even if the resolution of the DPWM is finer than that of the ADC, LCO may still exist due to improper parameters of the digital compensator. In order to discover how LCO is generated, the state space averaging model is applied to derive equilibrium equations of a digital PID controlled DC-DC converter in this paper. Furthermore, the influences of the parameters of the digital PID compensator, and the resolutions of the ADC and DPWM on LCO are studied in detail. The amplitude together with the period of LCO as well as the corresponding PID parameters are obtained. Finally, MATLAB/Simulink simulations and FPGA verifications are carried out and no-LCO conditions are obtained.

Effects of Grain Size on the Fatigue Properties in Cold-Expanded Austenitic HNSs

  • Shin, Jong-Ho;Kim, Young-Deak;Lee, Jong-Wook
    • Metals and materials international
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    • 제24권6호
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    • pp.1412-1421
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    • 2018
  • Cold-expanded austenitic high nitrogen steel (HNS) was subjected to investigate the effects of grain size on the stress-controlled high cycle fatigue (HCF) as well as the strain-controlled low cycle fatigue (LCF) properties. The austenitic HNSs with two different grain sizes (160 and $292{\mu}m$) were fabricated by the different hot forging strain. The fine-grained (FG) specimen exhibited longer LCF life and higher HCF limit than those of the coarse-grained (CG) specimen. Fatigue crack growth testing showed that crack propagation rate in the FG specimen was the same as that in the CG specimen, implying that crack propagation rate did not affect the discrepancy of LCF life and HCF limit between two cold-expanded HNSs. Therefore, it was estimated that superior LCF and HCF properties in the FG specimen resulted from the retardation of the fatigue crack initiation as compared with the CG specimen. Transmission electron microscopy showed that the effective grain size including twin boundaries are much finer in the FG specimen than that in the CG specimen, which can give favorable contributions to strengthening.

플랩을 갖는 복합재 평판 날개의 비선형 공력 탄성학 해석 (Nonlinear Aeroelastic Analyses of Composite Wing with Flap)

  • 신원호;배재성;이인
    • Composites Research
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    • 제20권1호
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    • pp.8-14
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    • 2007
  • 플랩을 갖는 복합재 평판날개에 대해서 유격 비선형성과 구동장치의 동적 강성을 고려하여 비선형 공탄성 해석을 수행하였다. DHM 방법을 사용하여 아음속 비정상 공기력을 계산하였으며 유격은 기술함수를 적용하여 이선형 스프링으로 가정하였다. 동적 강성을 기어시스템의 지배방정식으로부터 계산하고, 적층각과 재질에 따른 공탄성 특성을 살펴보았다. 선형 및 비선형 공탄성 해석 결과들은 플러터 특성이 유격과 동강성에 따라 크게 달라지는 것을 보여주었다. 다양한 형태의 제한주기거동이 선형플러터 속도 이전과 이후에서 관찰되었다.

리미트사이클을 발생하는 연속시간 모델 순환결합형 신경회로망에서 카오스 신호의 영향 (Analysis of Dynamical State Transition and Effects of Chaotic Signal in Continuous-Time Cyclic Neural Network)

  • 박철영
    • 한국지능시스템학회논문지
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    • 제16권4호
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    • pp.396-401
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    • 2006
  • 순환결합형 신경회로망은 복수 개의 리미트사이클을 생성하며 따라서, 많은 동적 정보를 저장할 수 있는 메모리 시스템으로 사용할 수 있다는 것이 알려져 있다. 본 논문에서는 각 뉴런이 최근접 뉴런에만 이진화한 결합하중 ${\pm}1$로 연결된 연속 시간모델 순환결합형 신경회로망을 구현하였다. 그리고 이런 회로망을 통해 생성되는 리미트사이클의 수와 패턴을 시뮬레이션을 통하여 나타내었다. 또한 카오스 신호를 인가하여 리미트사이클 사이의 천이 가능성을 입증하였다. 특히, 카오스 신호 이외의 랜덤 노이즈를 이용한 해석을 통하여 동적 신경회로망에 카오스 노이즈를 인가하는 경우의 유효성을 검토하였다.

3-로브 베어링으로 지지된 중형 고속 터보차저 로터의 선형 및 비선형 동적 안정성 특성 규명 (Identification of Linear and Nonlinear Dynamic Stability Characteristics of a Medium-size High-speed Turbocharger Rotor Supported by 3-lobe Bearings)

  • 이안성;김병옥
    • 한국소음진동공학회논문집
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    • 제21권6호
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    • pp.562-569
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    • 2011
  • In this study linear and nonlinear dynamic stability characteristics of a medium-size high-speed turbocharger, whose rotor is supported by two 3-lobe journal bearings, are analyzed to evaluate and identify the effects of its bearing design variables. The rotor has the rated speed of 40,500 rpm and maximum continuous speed of 45,000 rpm. At first, utilizing the linear stability analysis method, bearing designs of yielding stable or unstable LogDecs as small as possible are searched by manipulating with machined bearing clearances and preloads. As next, utilizing the nonlinear analysis method, limit cycles of the rotor responses at the rated and maximum continuous speeds are simulated to check their acceptances. Results have shown that for the turbocharger rotor-bearing system considered, the 3-lobe journal bearing design with a smaller machined clearance and a larger preload are preferred for the stable rotor responses. More importantly, since there exists a good correlation between the linear and nonlinear stability analysis results, it is concluded that firstly the linear stability analysis method may be applied to screen quickly the ranges of bearing designs for stable or least unstable solutions and then, lastly the nonlinear stability analysis method may be deployed to check an absolute motion stability in terms of the limit cycle.

Seismic retrofit of steel structures with re-centering friction devices using genetic algorithm and artificial neural network

  • Mohamed Noureldin;Masoum M. Gharagoz;Jinkoo Kim
    • Steel and Composite Structures
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    • 제47권2호
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    • pp.167-184
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    • 2023
  • In this study, a new recentering friction device (RFD) to retrofit steel moment frame structures is introduced. The device provides both self-centering and energy dissipation capabilities for the retrofitted structure. A hybrid performance-based seismic design procedure considering multiple limit states is proposed for designing the device and the retrofitted structure. The design of the RFD is achieved by modifying the conventional performance-based seismic design (PBSD) procedure using computational intelligence techniques, namely, genetic algorithm (GA) and artificial neural network (ANN). Numerous nonlinear time-history response analyses (NLTHAs) are conducted on multi-degree of freedom (MDOF) and single-degree of freedom (SDOF) systems to train and validate the ANN to achieve high prediction accuracy. The proposed procedure and the new RFD are assessed using 2D and 3D models globally and locally. Globally, the effectiveness of the proposed device is assessed by conducting NLTHAs to check the maximum inter-story drift ratio (MIDR). Seismic fragilities of the retrofitted models are investigated by constructing fragility curves of the models for different limit states. After that, seismic life cycle cost (LCC) is estimated for the models with and without the retrofit. Locally, the stress concentration at the contact point of the RFD and the existing steel frame is checked being within acceptable limits using finite element modeling (FEM). The RFD showed its effectiveness in minimizing MIDR and eliminating residual drift for low to mid-rise steel frames models tested. GA and ANN proved to be crucial integrated parts in the modified PBSD to achieve the required seismic performance at different limit states with reasonable computational cost. ANN showed a very high prediction accuracy for transformation between MDOF and SDOF systems. Also, the proposed retrofit showed its efficiency in enhancing the seismic fragility and reducing the LCC significantly compared to the un-retrofitted models.

Mg+Al2Ca 첨가 ADC12 (Al-Si-Cu) 합금의 미세조직, 인장 및 고주기 피로 특성 (Microstructure, Tensile Strength, and High Cycle Fatigue Properties of Mg+Al2Ca added ADC12 (Al-Si-Cu) Alloy)

  • 김영균;김민종;김세광;윤영옥;이기안
    • 소성∙가공
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    • 제26권5호
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    • pp.306-313
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    • 2017
  • This study investigated the microstructure, tensile strength, and high cycle fatigue properties of ADC12 aluminum alloys with different $Mg+Al_2Ca$ contents manufactured using die casting process. Microstructural observation identified the presence of ${\alpha}-Al$, eutectic Si, $Al_2Cu$, and Fe-intermetallic phases. The increase of $Mg+Al_2Ca$ content resulted in finer pore size and decreased pore distribution. Room temperature tensile strength tests were conducted at strain rate of $1{\times}10^{-3}/sec$. For 0.6%Mg ADC12, measured UTS, YS, and El were 305.2MPa, 157.0MPa, and 2.7%, respectively. For 0.8%Mg ADC12, measured UTS, YS, and El were 311.2 MPa, 159.4 MPa, and 2.4%, respectively. Therefore, 0.8% ADC12 alloy had higher strength and slightly decreased elongation compared to 0.6% Mg ADC12. High cycle fatigue tests revealed that 0.6% Mg ADC12 alloy had a fatigue limit of 150 MPa while 0.8% Mg ADC12 had a fatigue limit of 160MPa. It was confirmed that $Mg+Al_2Ca$ added ADC12 alloy achieved finer, spherical eutectic Si particles, and $Al_2Cu$ phases with greater mechanical and fatigue properties since size and distribution of pores and shrinkage cavities decreased as $Mg+Al_2Ca$ content increased.