• 제목/요약/키워드: hyperbolic model

검색결과 284건 처리시간 0.032초

An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions

  • Abdelaziz, Hadj Henni;Meziane, Mohamed Ait Amar;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Mahmoud, S.R.;Alwabli, Afaf S.
    • Steel and Composite Structures
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    • 제25권6호
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    • pp.693-704
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    • 2017
  • In this research, a simple hyperbolic shear deformation theory is developed and applied for the bending, vibration and buckling of powerly graded material (PGM) sandwich plate with various boundary conditions. The displacement field of the present model is selected based on a hyperbolic variation in the in-plane displacements across the plate's thickness. By splitting the deflection into the bending and shear parts, the number of unknowns and equations of motion of the present formulation is reduced and hence makes them simple to use. Equations of motion are obtained from Hamilton's principle. Numerical results for the natural frequencies, deflections and critical buckling loads of several types of powerly graded sandwich plates under various boundary conditions are presented. The accuracy of the present formulation is demonstrated by comparing the computed results with those available in the literature. As conclusion, this theory is as accurate as other theories available in the literature and so it becomes more attractive due to smaller number of unknowns.

도심지 도로 지하공동 탐지를 위한 딥러닝 기반 GPR 자료 해석 기법 (Deep-learning-based GPR Data Interpretation Technique for Detecting Cavities in Urban Roads)

  • 최병훈;편석준;최우창;조철현;윤진성
    • 지구물리와물리탐사
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    • 제25권4호
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    • pp.189-200
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    • 2022
  • 도심지 도로에서의 지하공동 붕괴로 인한 지반침하 문제는 인명 및 재산 피해로 이어질 수 있기 때문에 이를 예방하기 위해서는 사전에 지하공동을 탐지하고 복구하는 과정이 필요하다. 지하공동 탐지는 주로 지표투과레이더(ground penetrating radar, GPR) 탐사를 통해 이루어지는데, 방대한 탐사 자료로 인해 해석에 많은 시간이 소모되고 전문가의 숙련도와 주관에 따라 해석 결과가 달라질 수 있다. 이러한 문제를 해결하기 위해 GPR 자료 해석 자동화 및 정량화 기법들이 연구되어 왔으며, 최근에는 딥러닝 기반의 해석 기법들이 많이 활용되고 있다. 이 연구에서는 딥러닝 기반의 GPR 자료해석 기법 중 쌍곡선(hyperbola) 신호를 탐지하는 과정에 대해 기존 연구에서 개발된 기법을 단계별로 실증 예제를 통해 설명하였다. 먼저, 쌍곡선 신호를 자동으로 탐지하기 위해서 딥러닝 기반 YOLOv3 객체탐지 기법을 적용했다. 다음으로는 column-connection clustering (C3) 알고리즘을 통해 쌍곡선 신호만을 추출하였고, 최종적으로 회귀분석을 통해 지하공동의 수평위치를 결정했다. YOLOv3 객체탐지 기법을 이용한 쌍곡선 신호 탐지 성능은 AP50 기준으로 정밀도 84%, 재현율 92%를 달성했다. 지하공동 수평위치 정확도는 4개 샘플에 대해 실제 위치와 약 0.12 ~ 0.36 m 정도의 차이를 보였다. 이를 통해 지하공동에 의해 나타나는 쌍곡선 신호에 대한 딥러닝 기반 탐지 기법의 적용성을 확인할 수 있었다.

석탄회의 토공재로서의 활용에 관한 연구 (A Study on the Utilization of Coal Ash as Earthwork Materials)

  • 천병식;임해식
    • 한국지반공학회지:지반
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    • 제12권1호
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    • pp.73-86
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    • 1996
  • 본 연구에서는 국내 8개 석탄화력발전소에서 발생하는 석탄회중 영월화력발전소에서 부산되는 석탄회를 주 대상으로 순수 비회(FA)와 저회(BA), 회사장에 투기되는 흔합회(FA:BA=8:2), 적정비로 혼합된 석탄회(FA:BA=5:5),그리고 일반도로성토재에 대하여 토질역학시험을 통해 공학적 특성이 비교, 분석되었으며 석탄회를 성토재 및 매립재로서 대규모로 이용할 경우의 변형해석을 위해 Hyperbolic Mode야 적용시 필요한 제반 변수를 산정하였다. 석탄회의 토공재로서의 활용 가능성을 검토한 결과 석탄회는 동일입도의 일반 홀에 비해 강도 정수 등 유리한 공학적 특성을 갖고 있으며,특히 연약지반상에 매립 또는 구조물 됫채움재로서 사용할 경우 자경성, 경량성 등 우수한 조건을 지니고 있다.

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Stability investigation of symmetrically porous advanced composites plates via a novel hyperbolic RPT

  • S.R. Mahmoud;E.I. Ghandourah;A.H. Algarni;M.A. Balubaid;Abdelouahed Tounsi;Abdeldjebbar Tounsi;Fouad Bourada
    • Steel and Composite Structures
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    • 제46권4호
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    • pp.471-483
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    • 2023
  • This paper presents an analytical hyperbolic theory based on the refined shear deformation theory for mechanical stability analysis of the simply supported advanced composites plates (exponentially, sigmoidal and power-law graded) under triangular, trapezoidal and uniform uniaxial and biaxial loading. The developed model ensures the boundary condition of the zero transverse stresses at the top and bottom surfaces without using the correction factor as first order shear deformation theory. The mathematical formulation of displacement contains only four unknowns in which the transverse deflection is divided to shear and bending components. The current study includes the effect of the geometric imperfection of the material. The modeling of the micro-void presence in the structure is based on the both true and apparent density formulas in which the porosity will be dense in the mid-plane and zero in the upper and lower surfaces (free surface) according to a logarithmic function. The analytical solutions of the uniaxial and biaxial critical buckling load are determined by solving the differential equilibrium equations of the system with the help of the Navier's method. The correctness and the effectiveness of the proposed HyRPT is confirmed by comparing the results with those found in the open literature which shows the high performance of this model to predict the stability characteristics of the FG structures employed in various fields. Several parametric analyses are performed to extract the most influenced parameters on the mechanical stability of this type of advanced composites plates.

Earthquake analysis of NFRP-reinforced-concrete beams using hyperbolic shear deformation theory

  • Rad, Sajad Shariati;Bidgoli, Mahmood Rabani
    • Earthquakes and Structures
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    • 제13권3호
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    • pp.241-253
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    • 2017
  • In this paper, dynamic response of the horizontal nanofiber reinforced polymer (NFRP) strengthened concrete beam subjected to seismic ground excitation is investigated. The concrete beam is modeled using hyperbolic shear deformation beam theory (HSDBT) and the mathematical formulation is applied to determine the governing equations of the structure. Distribution type and agglomeration effects of carbon nanofibers are considered by Mori-Tanaka model. Using the nonlinear strain-displacement relations, stress-strain relations and Hamilton's principle (virtual work method), the governing equations are derived. To obtain the dynamic response of the structure, harmonic differential quadrature method (HDQM) along with Newmark method is applied. The aim of this study is to investigate the effect of NFRP layer, geometrical parameters of beam, volume fraction and agglomeration of nanofibers and boundary conditions on the dynamic response of the structure. The results indicated that applied NFRP layer decreases the maximum dynamic displacement of the structure up to 91 percent. In addition, using nanofibers as reinforcement leads a 35 percent reduction in the maximum dynamic displacement of the structure.

A Survey of Applications of Artificial Intelligence Algorithms in Eco-environmental Modelling

  • Kim, Kang-Suk;Park, Joon-Hong
    • Environmental Engineering Research
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    • 제14권2호
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    • pp.102-110
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    • 2009
  • Application of artificial intelligence (AI) approaches in eco-environmental modeling has gradually increased for the last decade. Comprehensive understanding and evaluation on the applicability of this approach to eco-environmental modeling are needed. In this study, we reviewed the previous studies that used AI-techniques in eco-environmental modeling. Decision Tree (DT) and Artificial Neural Network (ANN) were found to be major AI algorithms preferred by researchers in ecological and environmental modeling areas. When the effect of the size of training data on model prediction accuracy was explored using the data from the previous studies, the prediction accuracy and the size of training data showed nonlinear correlation, which was best-described by hyperbolic saturation function among the tested nonlinear functions including power and logarithmic functions. The hyperbolic saturation equations were proposed to be used as a guideline for optimizing the size of training data set, which is critically important in designing the field experiments required for training AI-based eco-environmental modeling.

쌍곡선 단면을 가진 반경휜에서의 열전달에 관한 연구 (A Study on the Heat Transfer in Radial Fin of Hyperbolic Profile)

  • 김광수;서정일
    • 대한설비공학회지:설비저널
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    • 제11권3호
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    • pp.9-17
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    • 1982
  • In this paper, temperature distributions in radial fin of hyperbolic profile for steady -state with no heat generation are obtained by one-dimensional analytical method, finite difference method and experiment respectively. Heat flow rate and fin efficiency from the fin model are obtained by analytical method. To compare the exact solutions obtained by theoretical analysis with the results obtained by finite difference method, cylindrical shape is selected. Particularly, equations of finite difference method for cylindrical shape with irregular boundary are rearranged and formulated. Consequently, temperature distributions in radial fin can certify that are similar to exact solutions. From theoretical analysis, the effects according to heat flow rate and fin efficiency are related to variation of parameters which are fin thickness ${\delta}_o$, fin base temperature $T_o$, thermal conductivity K with same basic dimensions and the fleets are studied and compared.

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Aerodynamic stability analysis of geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction

  • Xu, Yun-ping;Zheng, Zhou-lian;Liu, Chang-jiang;Wu, Kui;Song, Wei-ju
    • Wind and Structures
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    • 제26권6호
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    • pp.355-367
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    • 2018
  • This paper studies the aerodynamic stability of a tensioned, geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction. Considering flow separation, the wind field around membrane structure is simulated as the superposition of a uniform flow and a continuous vortex layer. By the potential flow theory in fluid mechanics and the thin airfoil theory in aerodynamics, aerodynamic pressure acting on membrane surface can be determined. And based on the large amplitude theory of membrane and D'Alembert's principle, interaction governing equations of wind-structure are established. Then, under the circumstance of single-mode response, the Bubnov-Galerkin approximate method is applied to transform the complicated interaction governing equations into a system of second-order nonlinear differential equation with constant coefficients. Through judging the frequency characteristic of the system characteristic equation, the critical velocity of divergence instability is determined. Different parameter analysis shows that the orthotropy, geometrical nonlinearity and scantling of structure is significant for preventing destructive aerodynamic instability in membrane structures. Compared to the model without considering flow separation, it's basically consistent about the divergence instability regularities in the flow separation model.

실트질 모래지반의 비선형 거동특성 분석 (Analysis of Non-Linear Behavior in Silty Sand)

  • 이경숙;김현주;이준환
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2005년도 춘계 학술발표회 논문집
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    • pp.1159-1166
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    • 2005
  • In the present study, a series of laboratory tests with sands of different silt contents, are conducted and methods to assess non-linear behaviors based on in-situ test results are proposed. Modified hyperbolic stress-strain model is used to analyze non-linearity of silty sands in terms of non-linear degradation parameters f and g as a function of silt contents and relative density $D_R$. Stress-strain relationship results were obtained from a series of triaxial tests on sands containing different amounts of silt. Initial shear modulus which was applied to normalize modulus degradation of silty sands were determined based on the resonant column test results. From the laboratory test results, it was observed that, as the relative density increases, values of f decrease and those of g increase. Cone resistance $q_c$ for silty soil condition used in the triaxial tests were estimated based on the cavity expansion analysis. A suggestion to make an estimation of degradation parameters f and g as a function of fine contents is addressed in terms of cone resistance $q_c$ .

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