• Title/Summary/Keyword: Instability Condition

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Comparative study of finite element analysis and generalized beam theory in prediction of lateral torsional buckling

  • Sharma, Shashi Kant;Kumar, K.V. Praveen;Akbar, M. Abdul;Rambabu, Dadi
    • Advances in materials Research
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    • v.11 no.1
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    • pp.59-73
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    • 2022
  • In the construction industry, thin-walled frame elements with very slender open cross-sections and low torsional stiffness are often subjected to a complex loading condition where axial, bending, shear and torsional stresses are present simultaneously. Hence, these often fail in instability even before the yield capacity is reached. One of the most common instability conditions associated with thin-walled structures is Lateral Torsional Buckling (LTB). In this study, a first order Generalized Beam Theory (GBT) formulation and numerical analysis of cold-formed steel lipped channel beams (C80×40×10×1, C90×40×10×1, C100×40×10×1, C80×40×10×1.6, C90×40×10×1.6 and C100×40×10×1.6) subjected to uniform moment is carried out to predict pure Lateral Torsional Buckling (LTB). These results are compared with the Finite Element Analysis of the beams modelled with shell elements using ABAQUS and analytical results based on Euler's buckling formula. The mode wise deformed shape and modal participation factors are obtained for comparison of the responses along with the effect of varying the length of the beam from 2.5 m to 10 m. The deformed shapes of the beam for different modes and GBTUL plots are analyzed for comparative conclusions.

Electron Firehose Instabilities in High-β Intracluster Medium

  • Kim, Sunjung;Ha, Ji-Hoon;Ryu, Dongsu;Kang, Hyesung
    • The Bulletin of The Korean Astronomical Society
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    • v.44 no.2
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    • pp.55.2-55.2
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    • 2019
  • The firehose instability is driven by a pressure anisotropy in a magnetized plasma when the temperature along the magnetic field is higher than the perpendicular temperature. Such condition occurs commonly in astrophysical and space environments, for instance, when there are beams aligned with the background magnetic field. Recently, it was argued that, in weak quasi-perpendicular shocks in the high-β intracluster medium (ICM), shock-reflected electrons propagating upstream cause the temperature anisotropy. This electron temperature anisotropy can trigger the electron firehose instability (EFI), which excites oblique waves in the shock foot. Scattering of electrons by these waves enables multiple cycles of shock drift acceleration (SDA) in the preshock region, leading to the electron injection to diffusive shock acceleration (DSA). In the study, the kinetic properties of the EFI are examined by the linear stability analysis based on the kinetic Vlasov-Maxwell theory and then further investigated by 2D Particle-in-Cell (PIC) simulations, especially focusing on those in high-β (β~100) plasmas. We then discuss the basic properties of the firehose instability, and the implication of our work on electron acceleration in ICM shock.

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A Study on the Numerical Stability and Accuracy of Lattice Boltzmann Method with Non-equilibrium first order extrapolation boundary condition (비평형 1 차 외삽 경계조건을 이용한 격자 볼츠만 법의 수치적 안정성 및 정확도에 관한 연구)

  • Jeong, Hae-Kwon;Kim, Las-Sung;Lee, Hyun-Goo;Ha, Man-Yeong
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2684-2689
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    • 2007
  • Non-equilibrium first order extrapolation boundary condition proposed by Guo et $al.^{(9)}$ proposed has a good application for complex geometries, a second order accuracy and a treatment on non-slip wall boundary condition easily. However it has a lack of the numerical stability from high Reynolds number. Guo et $al.^{(9)}$ substituted the density value of adjacent nodes for the density of boundary nodes. This procedure causes the numerical instability on the boundary. In this paper, we derived a procedure of density extrapolation and compared to previous results.

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Use of Processing Maps to Evaluate the Forming Condition during Ring Rolling (변형공정지도를 활용한 링롤링 공정 조건 평가)

  • Lee, H.J.;Kang, G.P.;Kim, Y.H.
    • Transactions of Materials Processing
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    • v.25 no.1
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    • pp.5-11
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    • 2016
  • The control of the roll velocities is essential in maintaining stability during ring rolling, but such control is difficult. The determination of the best roll velocities can be helped with the use of FE simulations and processing maps, which give the useful information such as power dissipation and flow instability for hot metal forming processes. In the current study, the workability of 7050 aluminum alloy is evaluated by using processing map. With the developed information, the stability of the ring rolling condition, called the Constant Growth Velocity Condition (CGVC), is evaluated.

Numerical Analysis on the Mode Transition of Integrated Rocket-Ramjet and Unstable Combusting Flow-Field (일체형 로켓-램제트 모드 천이 및 불안정 연소 유동장 해석)

  • Ko Hyun;Park Byung-Hoon;Yoon Woong-Sup
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • v.y2005m4
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    • pp.334-342
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    • 2005
  • A numerical analysis is performed using two dimensional axisymmetric RANS (Reynolds Averaged Navier-Stokes) equations system on the transition sequence of the Integrated Rocket Ramjet and the unsteady reacting flow-field in a ramjet combustor during unstable combustion. The mode transition of an axisymmetric ramjet is numerically simulated starting from the initial condition of the boost end phase of the entire ramjet. The unsteady reacting flow-field within combustor is computed for varying injection area. In calculation results of the transition, the terminal normal shock is occurred at the downstream of diffuser throat section and no notable combustor pressure oscillation is observed after certain time of the inlet port cover open. For the case of a small injection area at the same equivalence ratio, periodic pressure oscillation in the combustor leads to the terminal shock expulsion from the inlet and hence the buzz instability occurred.

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Transient Thermoelnstic Analysis of Disk Brakes Using Finite Element Method (유한요소법을 이용한 디스크 브레이크의 과도기 열탄성 해석)

  • Choi, Ji-Hoon;Kim, Do-Hyung;Lee, In;Cha, Hee-Bum;Kang, Min-Gu
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.5
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    • pp.160-167
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    • 2002
  • The transient thermoelastic analysis of automotive disk brakes with frictional contact is performed by using the finite element method. To analyze the thermoelastic behaviors occurring in disk brakes, the coupled heat conduction and elastic equations are solved. The fully implicit transient scheme is used to improve the computation accuracy at every time step. The numerical results of the thermoelastic behaviors are obtained during the repeated braking condition. The computational results show that the thermoelastic instability(TEI) phenomenon(the growth of non-uniformities in contact pressure) occurs in disk brakes. Also, the effect of material properties on the thermoelastic behaviors is investigated to facilitate the conceptual design of the brake system.

Acceleration in Diffusive-thermal Instability by Heat Losses (열손실에 의한 확산-열 불안정성의 가속화)

  • Park, June-Sung;Park, Jeong;Lee, Kee-Man;Kim, Jeong-Soo;Kim, Sung-Cho
    • 한국연소학회:학술대회논문집
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    • 2007.05a
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    • pp.145-152
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    • 2007
  • The dynamic behaviors of counterflow non-premixed flame have been investigated experimentally to study effects of heat losses on edge flame oscillation, which result from the advancing and retreating edge flame motion of outer flame edge at low strain rate flame. For low strain rate flame, lateral conduction heat loss in addition to radiation heat loss could be more remarkable than the others. Oscillatory instabilities appear at fuel Lewis number greater than unity. But excessive lateral conduction heat loss causes edge flame instability even at fuel Lewis number less than unity. The dramatic change of burner diameters in which flame length is an indicator of lateral conduction heat loss was applied to examine the onset condition of edge flame oscillation and flame oscillation modes. Especially, extinction behaviors quite different from the previous study were observed.

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Application of ULTC and load models in dynamic voltage stability analysis (동적 전압안정도 해석에서의 ULTC 및 부하모델의 적용)

  • Song, Hwa-Chang;Lee, Byong-Jun
    • Proceedings of the KIEE Conference
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    • 2005.07a
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    • pp.411-413
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    • 2005
  • Static approaches usually employed in voltage stability analysis are based on the pre-determined scenarios of varying load and generation patterns. Thus, even though the approaches are applied to the same system condition, one may obtain different voltage instability phenomena using different scenarios. In the stage of concrete control strategy determination against voltage instability, dynamic approaches with full-time and/or quasi steady-state simulations need to be applied in order to confirm the effectiveness of the established control strategies. This paper describes the ULTC and dynamic load models, and discusses characteristics of the models.

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DC-shift Instability in Hybrid rocket (하이브리드 로켓의 DC-shift 불안정 발생 특성)

  • Kang, Dong-Hoon;Lee, Chang-Jin;Monkhinoo, Monkhinoo
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2009.05a
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    • pp.229-232
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    • 2009
  • DC-shift phenomenon can be observed in Hybrid rocket combustion. This phenomenon makes performance drop which is structure problem or reduce thrust. Understanding of DC-shift phenomenon, the conditions of the hybrid rocket combustion stability can be found. In this paper, the condition of DC-shift was found and made by using acoustic mode and vortex shedding frequency. The conditions of stable combustion was defined from the experimental study of DC-shift phenomenon.

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Slope Instability Due to Rainfall (강우로 인한 사면 불안정)

  • 김상규;김영묵
    • Geotechnical Engineering
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    • v.7 no.1
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    • pp.53-68
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    • 1991
  • This paper aims at the investigation of various seepage behavior when rainfall infiltarates into unsaturated ground and understanding of the mechanism for slope instability due to rainfall. For this purpose an experimental study is carried out for model slopes using the test equipment which can simulate various rainfall intensity. In addition, a numerical study is performed for the same dimension and boundary condition as the experimental model. From both the experimental test and numerical analysis the progress of wetting front with time, critical amounts of rainfall, and pore-water pressure development with time are know in detail and their effects on slope stability are described.

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