• Title/Summary/Keyword: relative boundary conditions

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Stochastic optimal control analysis of a piezoelectric shell subjected to stochastic boundary perturbations

  • Ying, Z.G.;Feng, J.;Zhu, W.Q.;Ni, Y.Q.
    • Smart Structures and Systems
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    • v.9 no.3
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    • pp.231-251
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    • 2012
  • The stochastic optimal control for a piezoelectric spherically symmetric shell subjected to stochastic boundary perturbations is constructed, analyzed and evaluated. The stochastic optimal control problem on the boundary stress output reduction of the piezoelectric shell subjected to stochastic boundary displacement perturbations is presented. The electric potential integral as a function of displacement is obtained to convert the differential equations for the piezoelectric shell with electrical and mechanical coupling into the equation only for displacement. The displacement transformation is constructed to convert the stochastic boundary conditions into homogeneous ones, and the transformed displacement is expanded in space to convert further the partial differential equation for displacement into ordinary differential equations by using the Galerkin method. Then the stochastic optimal control problem of the piezoelectric shell in partial differential equations is transformed into that of the multi-degree-of-freedom system. The optimal control law for electric potential is determined according to the stochastic dynamical programming principle. The frequency-response function matrix, power spectral density matrix and correlation function matrix of the controlled system response are derived based on the theory of random vibration. The expressions of mean-square stress, displacement and electric potential of the controlled piezoelectric shell are finally obtained to evaluate the control effectiveness. Numerical results are given to illustrate the high relative reduction in the root-mean-square boundary stress of the piezoelectric shell subjected to stochastic boundary displacement perturbations by the optimal electric potential control.

Comparison Between Analytic Method and Experimentation on the Trapezoidal Fin (사다리꼴 핀에 대한 해석적 방법과 실험의 비교)

  • Cho, Chul-Hyun;Han, Young-Min;Kang, Hyung-Suk
    • Journal of Industrial Technology
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    • v.25 no.A
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    • pp.75-80
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    • 2005
  • A trapezoidal fin is analyzed by using one-dimensional analytic method. For two boundary conditions, the heat transfer rate is given instead of specified temperature at the fin base and heat conduction into the fin tip is equal to heat convection from the tip. Temperatures at three different points within the trapezoidal fin are measured by using experimental apparatus. A comparison of the temperature between one-dimensional analytic method and experimentation is made as a function of dimensionless fin length under both free convection and forced convection conditions. The ratio of heat loss from the fin tip surface to that through the fin base is presented as a function of dimensionless fin length and Biot number. One of results shows that the relative error increases as the air velocity increases for forced convection conditions.

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Prediction of Depth of Concrete Carbonation According to Microenvironmental Conditions (미세 환경조건에 따른 콘크리트 탄산화 깊이 예측)

  • Park, Dong-Cheon
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2021.11a
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    • pp.158-159
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    • 2021
  • When the porous concrete is exposed to the external environment, the internal relative humidity changes from time to time due to the inflow and outflow of moisture. This change in moisture is affected by temperature. The temperature and humidity of concrete is dominant in the carbonation rate, the largest cause of deterioration of concrete. In this study, actual weather data were used as boundary conditions. A carbonization model of concrete temperature and humidity and calcium hydroxide was constructed to perform long-term analysis. There is a slight error in the carbonation formula of the Japanese Academy of Architecture applying the Kishtani coefficient, a representative experimental formula related to carbonization, and the analysis result values. However, considering that it behaves very similarly, it is thought that a fairly reliable numerical analysis model has been established. A slight error is believed to be due to the fact that the amount of residual calcium hydroxide in the carbonated site has not yet been clearly identified.

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Synthetic Turbulence Effect in Subsonic Backward Facing Step Flow Using LES (LES을 이용한 후향 계단 유동에서의 Synthetic turbulence 효과 연구)

  • Ahn, Sang-Hoon;Sung, Hong-Gye
    • Journal of Aerospace System Engineering
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    • v.13 no.6
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    • pp.1-8
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    • 2019
  • The synthetic turbulence generation model for inlet boundary conditions of subsonic Backward Facing Step (BFS) was investigated. The average u-velocity and Reynolds stress at inlet boundary follows experimental data. Synthetic Eddy Method (SEM), random noise, and uniform flow conditions were implemented relative to the synthetic turbulence generation method. A three dimensional Large Eddy Simulation (LES) was applied for turbulent flow simulation. Turbulent and mean flow characteristics such as flow reattachment length, velocity profiles, and Reynolds stress profiles of BFS were compared with respect to the turbulent effects.

Surface Stress Profiles at the Contact Boundary in Backward Extrusion Processes for Various Punch Shapes (후방압출에서 펀치형상에 따른 접촉경계면의 표면부하상태)

  • Noh, J.H.;Kim, M.T.;Vishara, R.J.;Hwang, B.B.
    • Transactions of Materials Processing
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    • v.18 no.7
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    • pp.565-571
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    • 2009
  • This paper is concerned with the analysis on the surface stress profiles of perfectly plastic material in backward extrusion process. Due to heavy surface expansion appeared usually in the backward extrusion process, the tribological conditions along the interface between the material and the punch land are very severe. In the present study, the analyses have focused to reveal the surface conditions at the contact boundary for various punch shapes in terms of surface expansion, contact pressure, and relative movement between punch and workpiece which consists of sliding velocity and distance, respectively. Punch geometries adopted in the analysis include concave, hemispherical, pointed and ICFG recommended shapes. Extensive simulation has been conducted by applying the rigid-plastic finite element method to the backward extrusion process under different punch geometries. The simulation results are summarized in terms of surface expansion, contact pressure, sliding velocity and sliding distance at different reduction in height, deformation patterns, and load-stroke relationship, respectively.

Horizontal Earth Pressure of the Backfill in the Narrowly Excavated Ground Considering Various Boundary Conditions (좁게 굴착된 뒤채움 지반의 경계조건에 따른 수평응력 변화에 관한 연구)

  • Kim, Hee Su;Ban, Hoki;Moon, Chang-Yeul
    • Journal of the Korean GEO-environmental Society
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    • v.18 no.11
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    • pp.19-26
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    • 2017
  • When narrowly excavated in the urban area, the wall of backfill space is not only symmetrical but also asymmetrical. In this case, the horizontal stress induced by backfilling depends mostly on the wall asymmetry and the wall friction angle. Therefore, in this study, the model test in the laboratory was conducted to investigate horizontal earth pressure with depth considering various boundary conditions such as base width, wall friction, relative density of backfill, and wall angle. As the wall is smoother and wall angle is lower from the bottom, the results showed higher the horizontal stresses due to the increase of vertical stresses.

THE RELATIVE IMPORTANCE OF NON-NEWTONIAN CHARACTERISTICS OF BLOOD IN THE HEMODYNAMICS OF THE CAROTID BIFURCATION (경동맥 혈류유동에서의 혈액의 비뉴우토니안 특성의 상대적 중요성 해석)

  • Lee, S.W.;Steinman, D.A.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.181-185
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    • 2008
  • In this study, we attempted to quantify the relative importance of assumptions regarding blood rheology. Three patient-specific carotid bifurcation geometries and time-varying flow rates were obtained using magnetic resonance imaging. For each subject, CFD simulations were carried out assuming two different non-Newtonian rheology models Carreau and Ballyk models) and rescaled Newtonian viscosities based on characteristic shear rates to account for the shear-thinning property of blood. The sensitivity of WSS and oscillatory shear index (OSI) were contextualized with respect to the reproducibility of the reconstructed geometry and to assumptions regarding the inlet boundary conditions. We conclude that the assumption of Newtonian fluid is reasonable for studies aimed at quantifying the distribution of WSS-based extrema in an image-based CFD model of carotid bifurcation.

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THE RELATIVE IMPORTANCE OF NON-NEWTONIAN CHARACTERISTICS OF BLOOD IN THE HEMODYNAMICS OF THE CAROTID BIFURCATION (경동맥 혈류유동에서의 혈액의 비뉴우토니안 특성의 상대적 중요성 해석)

  • Lee, S.W.;Steinman, D.A.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.181-185
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    • 2008
  • In this study, we attempted to quantify the relative importance of assumptions regarding blood rheology. Three patient-specific carotid bifurcation geometries and time-varying flow rates were obtained using magnetic resonance imaging. For each subject, CFD simulations were carried out assuming two different non-Newtonian rheology models (Carreau and Ballyk models) and rescaled Newtonian viscosities based on characteristic shear rates to account for the shear-thinning property of blood. The sensitivity of WSS and oscillatory shear index (OSI) were contextualized with respect to the reproducibility of the reconstructed geometry and to assumptions regarding the inlet boundary conditions. We conclude that the assumption of Newtonian fluid is reasonable for studies aimed at quantifying the distribution of WSS-based extrema in an image-based CFD model of carotid bifurcation.

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Equivalent material properties of perforated metamaterials based on relative density concept

  • Barati, Mohammad Reza;Shahverdi, Hossein
    • Steel and Composite Structures
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    • v.44 no.5
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    • pp.685-690
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    • 2022
  • In this paper, the equivalent material properties of cellular metamaterials with different types of perforations have been presented using finite element (FE) simulation of tensile test in Abaqus commercial software. To this end, a Representative Volume Element (RVE) has been considered for each type of cellular metamaterial with regular array of circular, square, oval and rectangular perforations. Furthermore, both straight and perpendicular patterns of oval and rectangular perforations have been studied. By applying Periodic Boundary conditions (PBC) on the RVE, the actual behavior of cellular material under uniaxial tension has been simulated. Finally, the effective Young's modulus, Poisson's ratio and mass density of various metamaterials have been presented as functions of relative density of the RVE

A Study on TE Scattering by a Conductive Strip Grating Over a Dielectric Layer (유전체층 위의 완전도체띠 격자구조에 의한 TE 산란에 관한 연구)

  • Yoon, Uei-Joong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.6
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    • pp.4158-4163
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    • 2015
  • In this paper, the solutions of TE(transverse electric) scattering problems by a condutive strip grating over a dielectric layer are analyzed by using the FGMM(fourier galerkin moment method) and PMM(point matching method) known as a numerical method of electromagnetic fileld. The scattered electromagnetic fields are expanded in a series of floguet mode functions, the boundary conditions are applied to obtain the unknown field coefficients, and the conductive boundary condition is used for the relationship between the tangential electric field and the induced surface current density on the strip. The numerical results for the reflected and transmitted power of zeroth mode analyzed by according as the width and spacing of conductive strip, the relative permittivity and thickness of dielectric layer, and incident angles. Generally, according to the relative permittivity of dielectric layer increased, also the normalized reflected power of zeroth mode increased. To examine the accruacy of this paper, the numerical results of FGMM shown in good agreement compared to those of PMM.