• 제목/요약/키워드: the Stability of Boundary

검색결과 835건 처리시간 0.025초

2층 탄성기초위에 놓인 불균일 테이퍼진 보의 진동과 안정성 (Vibration and Stability of Non-uniform Tapered Beams resting on a Two-Layered Elastic Foundation)

  • 류봉조;임경빈;이종원;한재섭
    • 소음진동
    • /
    • 제9권4호
    • /
    • pp.828-834
    • /
    • 1999
  • The paper describes the vibration and the stability of nonuniform tapered beams resting on two-layered elastic foundations. The two-layered elastic foundations are constructed by discributed Winkler springs and shearing layers as ofen used in oil models. Governing equations are derived from energy experssions using Hamilton's Principle. The associated eigenvalue problems are solved to obtain the free vibration frequencies or the buckling loads. Numerical results for the vibration and the stability of beams under an axial force are presented and compared with other available solutions. Finally, vibration frequencies and critical forces are investigated for various thickness ratios, shear foundation parameters, Winkler foundation parameters, and boundary conditions of tapered beams.

  • PDF

Comparison of Turbulence Models in Shock-Wave/ Boundary- Layer Interaction

  • Kim, Sang-Dug;Kwon, Chang-Oh;Song, Dong-Joo
    • Journal of Mechanical Science and Technology
    • /
    • 제18권1호
    • /
    • pp.153-166
    • /
    • 2004
  • This paper presents a comparative study of a fully coupled, upwind, compressible Navier-Stokes code with three two-equation models and the Baldwin-Lomax algebraic model in predicting transonic/supersonic flow. The k-$\varepsilon$ turbulence model of Abe performed well in predicting the pressure distributions and the velocity profiles near the flow separation over the axisymmetric bump, even though there were some discrepancies with the experimental data in the shear-stress distributions. Additionally, it is noted that this model has y$\^$*/ in damping functions instead of y$\^$+/. The turbulence model of Abe and Wilcox showed better agreements in skin friction coefficient distribution with the experimental data than the other models did for a supersonic compression ramp problem. Wilcox's model seems to be more reliable than the other models in terms of numerical stability. The two-equation models revealed that the redevelopment of the boundary layer was somewhat slow downstream of the reattachment portion.

A Novel Predictive Digital Controlled Sensorless PFC Converter under the Boundary Conduction Mode

  • Wang, Jizhe;Maruta, Hidenori;Matsunaga, Motoshi;Kurokawa, Fujio
    • Journal of Power Electronics
    • /
    • 제17권1호
    • /
    • pp.1-10
    • /
    • 2017
  • This paper presents a novel predictive digital control method for boundary conduction mode PFC converters without the need for detecting the inductor current. In the proposed method, the inductor current is predicted by analytical equations instead of being detected by a sensing-resistor. The predicted zero-crossing point of the inductor current is determined by the values of the input voltage, output voltage and predicted inductor current. Importantly, the prediction of zero-crossing point is achieved in just a single switching cycle. Therefore, the errors in predictive calculation caused by parameter variations can be compensated. The prediction of the zero-crossing point with the proposed method has been shown to have good accuracy. The proposed method also shows high stability towards variations in both the inductance and output power. Experimental results demonstrate the effectiveness of the proposed predictive digital control method for PFC converters.

Stability analysis of transversely isotropic laminated Mindlin plates with piezoelectric layers using a Levy-type solution

  • Ghasemabadian, M.A.;Saidi, A.R.
    • Structural Engineering and Mechanics
    • /
    • 제62권6호
    • /
    • pp.675-693
    • /
    • 2017
  • In this paper, based on the first-order shear deformation plate theory, buckling analysis of piezoelectric coupled transversely isotropic rectangular plates is investigated. By assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function of thickness coordinate, the equilibrium equations for buckling analysis of plate with surface bonded piezoelectric layers are established. The Maxwell's equation and all boundary conditions including the conditions on the top and bottom surfaces of the plate for closed and open circuited are satisfied. The analytical solution is obtained for Levy type of boundary conditions. The accurate buckling load of laminated plate is presented for both open and closed circuit conditions. From the numerical results it is found that, the critical buckling load for open circuit is more than that of closed circuit in all boundary and loading conditions. Furthermore, the critical buckling loads and the buckling mode number increase by increasing the thickness of piezoelectric layers for both open and closed circuit conditions.

Investigating dynamic stability of metal foam nanoplates under periodic in-plane loads via a three-unknown plate theory

  • Fenjan, Raad M.;Ahmed, Ridha A.;Faleh, Nadhim M.
    • Advances in aircraft and spacecraft science
    • /
    • 제6권4호
    • /
    • pp.297-314
    • /
    • 2019
  • Dynamic stability of a porous metal foam nano-dimension plate on elastic substrate exposed to bi-axial time-dependent forces has been studied via a novel 3-variable plate theory. Various pore contents based on uniform and non-uniform models have been introduced. The presented plate model contains smaller number of field variables with shear deformation verification. Hamilton's principle will be utilized to deduce the governing equations. Next, the equations have been defined in the context of Mathieu-Hill equation. Correctness of presented methodology has been verified by comparison of derived results with previous data. Impacts of static and dynamical force coefficients, non-local coefficient, foundation coefficients, pore distributions and boundary edges on stability regions of metal foam nanoscale plates will be studied.

암석과 토층 경계면의 전단강도 특성연구 (A Study on Characteristics of Shear Strength in Rock-soil Contacts)

  • 이수곤
    • 한국환경복원기술학회지
    • /
    • 제4권3호
    • /
    • pp.49-54
    • /
    • 2001
  • It is common that the soil layer is a few meters below the earth's surface and the rock mass is below the soil layer in the view of geological characteristics in Korea. And the boundary between rock and soil is clearly divided. When dealing with the stability of rock masses, as in the case of rock slopes or dam foundations, the majority of the collapses is not within the soil layer, but within the soil-rock boundary. Therefore it is important to identify the shear strength characteristics between soil-rock boundary. And then in the method of reinforcement on landslide this chose a cut slope near Daemo elementary school in Seoul, surveyed shear strength between soil-rock contacts and considered a large scale collapse using a limit equilibrium method.

  • PDF

간편 간접추론 퍼지논리 경계층을 갖는 슬라이딩 모드 제어기의 설계 (Design of Sliding Mode Controller with a SIIM Fuzzy Logic Boundary Layer)

  • 채창현
    • 전자공학회논문지SC
    • /
    • 제41권2호
    • /
    • pp.45-52
    • /
    • 2004
  • 본 논문에서는 슬라이딩 라인 함수의 각 요소를 간편 간접추론 퍼지 논리의 입력변수로 사용하여 슬라이딩 모드 제어기의 경계층을 모사하는 간편 간접추론 퍼지논리 경계층을 갖는 슬라이딩 모드 제어기를 설계하였다. 제안된 제어시스템은 별도의 비선형 함수를 구할 필요가 없으며, 네 개의 퍼지규칙으로 이루어지므로 간단하고 안정도 증명이 쉬운 장점을 가진다. 본 논문의 유효성을 비선형 시변 시스템에 적용하여 고찰하였다.

Graphic 방법을 이용한 암반의 경계조건에 따른 절리면 전단거동 예측 (Prediction for Shear Behavior of the Rock Joints with Boundary Conditions using the Graphic Method)

  • 김용준;이정학;송범;염형진
    • 한국철도학회:학술대회논문집
    • /
    • 한국철도학회 2003년도 추계학술대회 논문집(II)
    • /
    • pp.466-471
    • /
    • 2003
  • The characteristics of a rock joint which influence the stability of rock mass structures, such as the cut slopes and the tunnels, are largely controlled by the conditions of the rock joint as well as its boundary conditions. Boundary conditions can be represented by assuming that the deformability(or stiffness) of the rock mass surrounding the joints is modelled by a spring with stiffness. A new direct shear apparatus is developed in this study, which adapts a servo control system using PID algorithm. This apparatus can be used to investigate the various aspects of shear characteristics of the rock joints at conditions of constant normal stress and constant normal stiffness and so on. It is possible that the behavior under the constant normal stiffness condition can be predicted by the normalized graphic method with results obtained from the tests in the constant normal stress condition.

  • PDF

THERMAL INSTABILITY IN REACTIVE VISCOUS PLANE POISEUILLE / COUETTE FLOWS FOR TWO EXTREME THERMAL BOUNDARY CONDITIONS

  • Ajadi, Suraju Olusegun
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • 제13권2호
    • /
    • pp.73-86
    • /
    • 2009
  • The problem of thermal stability of an exothermic reactive viscous fluid between two parallel walls in the plane Poiseuille and Couette flow configurations is investigated for different thermal boundary conditions. Neglecting reactant consumption, the closed-form solutions obtained from the momentum equation was inserted into the energy equation due to dissipative effect of viscosity. The resulting energy equation was analyzed for criticality using the variational method technique. The problem is characterized by two parameters: the Nusselt number(N) and the dynamic parameter($\Lambda$). We observed that the thermal and dynamical boundary conditions of the wall have led to a significant departure from known results. The influence of the variable pre-exponential factor, due to the numerical exponent m, also give further insight into the behavior of the system and the results expressed graphically and in tabular forms.

  • PDF

Effect of taper on fundamental aeroelastic behaviors of super-tall buildings

  • Kim, Yong Chul;Tamura, Yukio;Yoon, Sung-Won
    • Wind and Structures
    • /
    • 제20권4호
    • /
    • pp.527-548
    • /
    • 2015
  • Aeroelastic wind tunnel experiments were conducted for conventional and tapered super-tall building models to investigate the effect of taper on fundamental aeroelastic behaviors in various incident flows. Three incident flows were simulated: a turbulent boundary-layer flow representing urban area; a low-turbulent flow; and a grid-generated flow. Results were summarized focusing on the effect of taper and the effect of incident flows. The suppression of responses by introducing taper was profound in the low-turbulence flow and boundary-layer flow, but in the grid-generated flow, the response becomes larger than that of the square model when the wind is applied normal to the surface. The effects of taper and incident flows were clearly shown on the normalized responses, power spectra, stability diagrams and probability functions.