• Title/Summary/Keyword: Stability Diagram

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Development of Rotordynamic Analytical Model and Analysis of Vibration Response of a Turbocharger (터보차져의 로터다이나믹 해석모델 개발 및 진동응답 해석)

  • Kim, Byung-Ok;Lee, An-Sung
    • The KSFM Journal of Fluid Machinery
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    • v.13 no.5
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    • pp.35-42
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    • 2010
  • This paper deals with the development of analytical model of a turbocharger and its detail rotordynamic analysis. Two analytical models, which are verified by experimental modal testing, are proposed and the analytical model including rotor shaft extended to compressor and turbine wheel end side is chosen. A rotordynamic analysis includes the critical map, Campbell diagram, stability, and unbalance response, especially nonlinear transient response considering nonlinear fluid film force at bearings. Although the linearized analysis accurately predicts the critical speeds, stability limit, and stability threshold speed, the predicted vibration results are not valid for speeds above the stability threshold speed since the rotor vibrates with a subsynchronous component much larger than the one synchronous with rotor speed. Hence, for operating speed above the stability threshold, a nonlinear transient analysis considering nonlinear fluid film force must be performed in order to accurately predict vibration responses of rotor and guarantee results of analysis.

Friction and Wear Properties of Fiber Reinforced Composite (섬유보강 복합재의 마찰 및 마모특성)

  • Ju, Hyeok-Jong;Choe, Don-Muk;O, In-Seok;Hong, Myeong-Ho
    • Korean Journal of Materials Research
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    • v.4 no.7
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    • pp.733-740
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    • 1994
  • Oxidized-PAN fiber reinforced composite(OFRP), carbon fiber reinforced composite(CFRP), aramid fiber reinforced composite(AFRP), and glass fiber reinforced composite(GFRP) were fabricated with phenolic resin matrix by hot press molding. We tested the friction coefficient and wear rate varying with fiber weight fraction and observed the effect of fibers according to characteristics of individual reinforcement. When the amount of aramid fiber was 45wt%, average friction coefficient was maximum value of 0.353~0.383, where as, when the amount of pitch based carbon fiber was 45wt%, average friction coefficient was the lowest value of 0.164~0.190. The wear rate of AFRP and CFRP was low, but that of GFRP and OFRP increases drastically in the case of increasing of fiber weight fraction. Wear diagram of OFRP was unstable, but that of CFRP and AFRP was a bit stable. Through very unstable diagram of GFRP, we found that friction stability of GFRP was the lowest.

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Model order reduction for Campbell diagram analysis of shaft-disc-blade system in 3D finite elements

  • Phuor, Ty;Yoon, GilHo
    • Structural Engineering and Mechanics
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    • v.81 no.4
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    • pp.411-428
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    • 2022
  • This paper presents the Campbell diagram analysis of the rotordynamic system using the full order model (FOM) and the reduced order model (ROM) techniques to determine the critical speeds, identify the stability and reduce the computational time. Due to the spin-speed-dependent matrices (e.g., centrifugal stiffening matrix), several model order reduction (MOR) techniques may be considered, such as the modal superposition (MS) method and the Krylov subspace-based MOR techniques (e.g., Ritz vector (RV), quasi-static Ritz vector (QSRV), multifrequency quasi-static Ritz vector (MQSRV), multifrequency/ multi-spin-speed quasi-static Ritz vector (MMQSRV) and the combined Ritz vector & modal superposition (RV+MS) methods). The proposed MMQSRV method in this study is extended from the MQSRV method by incorporating the rotational-speed-dependent stiffness matrices into the Krylov subspace during the MOR process. Thus, the objective of this note is to respond to the question of whether to use the MS method or the Krylov subspace-based MOR technique in establishing the Campbell diagram of the shaft-disc-blade assembly systems in three-dimensional (3D) finite element analysis (FEA). The Campbell diagrams produced by the FOM and various MOR methods are presented and discussed thoroughly by computing the norm of relative errors (ER). It is found that the RV and the MS methods are dominant at low and high rotating speeds, respectively. More precisely, as the spinning velocity becomes large, the calculated ER produced by the RV method is significantly increased; in contrast, the ER produced by the MS method is smaller and more consistent. From a computational point of view, the MORs have substantially reduced the time computing considerably compared to the FOM. Additionally, the verification of the 3D FE rotordynamic model is also provided and found to be in close agreement with the existing solutions.

Effect of Phase Stability on the Microstructure Development of α-SiAlON Ceramics

  • Kim, Joosun;Lee, Hae-Weon;Chen, I-Wei
    • Journal of Powder Materials
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    • v.10 no.2
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    • pp.118-122
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    • 2003
  • Alpha-SiAlON ceramics having various compositions and modifying cations were investigated with respect to their phase stability, transformation kinetics. and resulting microstructures. Each composition was heat treated at 150$0^{\circ}C$ for 1h and measured the $\alpha$-SiAlON transformation. The phase-boundary composition in the single-phase $\alpha$-SiAlON region showed sluggish transformation from $\alpha$-$Si_3N_4$ to $\alpha$-SiAlON compared to the phase-center composition in the diagram. Using the different rare earth modifying cations, dependence of transformation kinetics on the phase stability in a fixed composition was also explained. By changing size of the stable u-phase region with exchanging cations, systematic change in transformation was observed. Transformation rate of $\alpha$-SiAlON at low temperature has an important role on controlling the final microstructure. Less transformation gives more chances to develop elongated grain in the microstructure.

Robust Controller Design for interval Plant using Lipatov Theorem (리파토프 정리를 이용한 구간 플랜트의 제어기 설계)

  • Lee, Jin-Kyu;Cha, Young-Ho;Chung, Tae-Jin;Park, Yong-Sik;Chung, Chan-Soo
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.479-481
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    • 1999
  • In this paper, We design low-order controller to achieve maximized controller stability margin and controller' Performance. FOPA(Fixed Order Pole Assignment) method is one of the approach to design controller in the parametric uncertain system. But the method to define a Target Polynomial is not explicit1y Known. In this paper, our goal is to find a controller Coefficient, such that performance and $l_2$ stability margin are maximized in the parametric uncertain system. Using Lipatove theorem and CDM(Coefficient Diagram Method), we set target polynomial constraints and design a controller which maximizes $l_2$ stability margin. we show effectiveness of the proposed controller design method by comparing $l_2$ stability many of the desired controller with that of the conventional robust controller.

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A Study on the Stability Boundaries for Single Layer Latticed Domes and Arch under Combined Loads (조합하중를 받는 단층 래티스 돔과 아치의 안정경계에 관한 연구)

  • Han, Sang-Eul;Lee, Sang-Ju;Lee, Kap-Su
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.3 s.13
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    • pp.103-109
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    • 2004
  • The lowest load when the equilibrium condition becomes to be unstable is defined as the buckling load. The primary objective of this paper is to be analyse stability boundaries for star dome under combined loads and is to investigate the iteration diagram under the independent loading parameter. In numerical procedure of the geometrically nonlinear problems, Arc Length Method and Newton-Raphson iteration method is used to find accurate critical point(bifurcation point and limit point). In this paper independent loading vector is combined as proportional value and star dome was used as numerical analysis model to find stability boundary among load parameters and many other models as multi-star dome and arch were studied. Through this study we can find the type of buckling mode and the value of buckling load.

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Dynamic stability and nonlinear vibration of rotating sandwich cylindrical shell with considering FG core integrated with sensor and actuator

  • Rostami, Rasoul;Mohamadimehr, Mehdi;Rahaghi, Mohsen Irani
    • Steel and Composite Structures
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    • v.32 no.2
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    • pp.225-237
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    • 2019
  • In this research, the dynamic stability and nonlinear vibration behavior of a smart rotating sandwich cylindrical shell is studied. The core of the structure is a functionally graded material (FGM) which is integrated by functionally graded piezoelectric material (FGPM) layers subjected to electric field. The piezoelectric layers at the inner and outer surfaces used as actuator and sensor, respectively. By applying the energy method and Hamilton's principle, the governing equations of sandwich cylindrical shell derived based on first-order shear deformation theory (FSDT). The Galerkin method is used to discriminate the motion equations and the equations are converted to the form of the ordinary differential equations in terms of time. The perturbation method is employed to find the relation between nonlinear frequency and the amplitude of vibration. The main objective of this research is to determine the nonlinear frequencies and nonlinear vibration control by using sensor and actuator layers. The effects of geometrical parameters, power law index of core, sensor and actuator layers, angular velocity and scale transformation parameter on nonlinear frequency-amplitude response diagram and dynamic stability of sandwich cylindrical shell are investigated. The results of this research can be used to design and vibration control of rotating systems in various industries such as aircraft, biomechanics and automobile manufacturing.

Combined effect of glass and carbon fiber in asphalt concrete mix using computing techniques

  • Upadhya, Ankita;Thakur, M.S.;Sharma, Nitisha;Almohammed, Fadi H.;Sihag, Parveen
    • Advances in Computational Design
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    • v.7 no.3
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    • pp.253-279
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    • 2022
  • This study investigated and predicted the Marshall stability of glass-fiber asphalt mix, carbon-fiber asphalt mix and glass-carbon-fiber asphalt (hybrid) mix by using machine learning techniques such as Artificial Neural Network (ANN), Support Vector Machine (SVM) and Random Forest(RF), The data was obtained from the experiments and the research articles. Assessment of results indicated that performance of the Artificial Neural Network (ANN) based model outperformed applied models in training and testing datasets with values of indices as; coefficient of correlation (CC) 0.8492 and 0.8234, mean absolute error (MAE) 2.0999 and 2.5408, root mean squared error (RMSE) 2.8541 and 3.3165, relative absolute error (RAE) 48.16% and 54.05%, relative squared error (RRSE) 53.14% and 57.39%, Willmott's index (WI) 0.7490 and 0.7011, Scattering index (SI) 0.4134 and 0.3702 and BIAS 0.3020 and 0.4300 for both training and testing stages respectively. The Taylor diagram also confirms that the ANN-based model outperforms the other models. Results of sensitivity analysis show that Carbon fiber has a major influence in predicting the Marshall stability. However, the carbon fiber (CF) followed by glass-carbon fiber (50GF:50CF) and the optimal combination CF + (50GF:50CF) are found to be most sensitive in predicting the Marshall stability of fibrous asphalt concrete.

Simulation of Synchronous Machines Using Object-Oriented Digital Computer Simulator (객체지향기법을 적용한 디지탈 컴퓨터 시뮬레이터를 이용한 동기 발전기 시뮬레이션)

  • Park, Ji-Ho;Baek, Young-Sik
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.102-105
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    • 1995
  • In power system stability analysis, modelling of the synchronous machine is necessary and vary important. In this paper, a synchronous machine is modeled and simulated by using Object-Oriented method. The mathematical equations describing the dynamic behavior of the synchronous machine is represented by block diagram and Objected-Oriented Digital Computer Simulater(ODCS). The developed method is tested for a one-machine-to-infinite-bus system, which is accurate and very useful for a multi-machine system simulation.

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