• 제목/요약/키워드: arbitrary gradient

검색결과 56건 처리시간 0.019초

Peridynamic analysis of dynamic fracture behaviors in FGMs with different gradient directions

  • Kou, Miaomiao;Bi, Jing;Yuan, Binhang;Wang, Yunteng
    • Structural Engineering and Mechanics
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    • 제75권3호
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    • pp.339-356
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    • 2020
  • In this article, a developed bond-based peridynamic model for functionally graded materials (FGMs) is proposed to simulate the dynamic fracture behaviors in FGMs. In the developed bond-based peridynamic model for FGMs, bonds are categorized into three different types, including transverse directionally peridynamic bond, gradient directionally peridynamic bond and arbitrary directionally peridynamic bond, according to the geometrical relationship between directions of peridynamic bonds and gradient bonds in FGMs. The peridynamic micromodulus in the gradient directionally and arbitrary directionally peridynamic bonds can be determined using the weighted projection method. Firstly, the standard bond-based peridynamic simulations of crack propagation and branching in the homogeneous PMMA plate are performed for validations, and the results are in good agreement with the previous experimental observations and the previous phase-field numerical results. Then, the numerical study of crack initiation, propagation and branching in FGMs are conducted using the developed bond-based peridynamic model, and the influence of gradient direction on the dynamic fracture behaviors, such as crack patterns and crack tip propagation speed, in FGMs is systematically studied. Finally, numerical results reveal that crack branching in FGMs under dynamic loading conditions is easier to occur as the gradient angle decreases, which is measured by the gradient direction and direction of the initial crack.

Torsional vibration analysis of bi-directional FG nano-cone with arbitrary cross-section based on nonlocal strain gradient elasticity

  • Noroozi, Reza;Barati, Abbas;Kazemi, Amin;Norouzi, Saeed;Hadi, Amin
    • Advances in nano research
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    • 제8권1호
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    • pp.13-24
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    • 2020
  • In this paper, for the first time based on the nonlocal strain gradient theory the effect of size dependency in torsional vibration of bi-direction functionally graded (FG) nonlinear nano-cone is study. The material properties were assumed to vary according to the arbitrary function in radial and axial directions. The Navier equation and boundary conditions of the size-dependent bidirectional FG nonlinear nano-cone were derived by Hamilton's principle. These equations were solved by employing the generalized differential quadrature method (GDQM). The presented model can turn into the classical model if the material length scale parameters are taken to be zero. The effects of some parameters, such as inhomogeneity constant, cross-sectional area parameter and small-scale parameters, were studied. As an essential result of this study can be stated that an FG nano-cone model based on the nonlocal elasticity theory behaves softer and based on the strain gradient theory behaves harder.

Free vibrations analysis of arbitrary three-dimensionally FGM nanoplates

  • Dehshahri, Kasra;Nejad, Mohammad Zamani;Ziaee, Sima;Niknejad, Abbas;Hadi, Amin
    • Advances in nano research
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    • 제8권2호
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    • pp.115-134
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    • 2020
  • In this paper, the free vibrations analysis of the nanoplates made of three-directional functionally graded material (TDFGM) with small scale effects is presented. To study the small-scale effects on natural frequency, modified strain gradient theory (MSGT) has been used. Material properties of the nanoplate follow an arbitrary function that changes in three directions along the length, width and thickness of the plate. The equilibrium equations and boundary conditions of nanoplate are obtained using the Hamilton's principle. The generalized differential quadrature method (GDQM) is used to solve the governing equations and different boundary conditions for obtaining the natural frequency of nanoplate made of three-directional functionally graded material. The present model can be transformed into a couple stress plate model or a classic plate model if two or all parameters of the length scales set to zero. Finally, numerical results are presented to study the small-scale effect and heterogeneity constants and the aspect ratio with different boundary conditions on the free vibrations of nanoplates. To the best of the researchers' knowledge, in the literature, there is no study carried out into MSGT for free vibration analysis of FGM nanoplate with arbitrary functions.

MRI용 차폐된 X,Y-경사자계코일의 최소전력설계 (Minimum-Power Design of Actively-Shielded Transverse Gradient Coils for MRI)

  • 이덕래;김선경;양윤정;이흥규;안창범;오창현
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1996년도 추계학술대회
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    • pp.307-309
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    • 1996
  • A new design scheme of actively-shielded x,y-gradient coils for Magnetic Resonance Imaging(MRI) is proposed. An actively-shielded x-gradient coil has been designed as an example and the results are presented. In MRI, gradient coils are needed for spatial selection and position coding to obtain the position information of the NMR signal. They are usually switched on and off during imaging and the eddy current induced by the current switching usually degrades the final image quality To reduce or remove this kind of problems, the active shielding has been proposed few years ago. In this paper, a new design scheme for actively-shielded x,y-gradient coils, namely, a minimum-power design scheme using current-loop elements, has been proposed. Its utility in designing MRI gradient coils has been shown by using simulation. The design scheme seems to be useful for actively-shielded transverse gradient coils, even of non-cylindrical or of arbitrary-selected shapes.

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압력구배가 변하는 표면 위의 Bypass 천이 유동의 예측 (Prediction of Bypass Transition Flow on Surface with Changing Pressure Gradient)

  • 백성구;정명균;임효재
    • 대한기계학회논문집B
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    • 제26권6호
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    • pp.823-832
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    • 2002
  • A modified $textsc{k}$-$\varepsilon$model is proposed for calculation of transitional boundary-layer flows with changing pressure gradient. In order to develop the model for this problem, the flow is divided into three regions; pre-transition region, transition region and fully turbulent region. The effect of pressure gradient is taken into account in stream-wise intermittency factor, which bridges the eddy-viscosity models in the pre-transition region and the fully turbulent region. From intermittency data in various flows, Narashima's intermittency function, F(${\gamma}$), has been found to be proportional to $\chi$$^{n}$ according to the extent of pressure gradient. Three empirical correlations of intermittency factor being analyzed, the best one was chosen to calculate three benchmark cases of bypass transition flows with different free-stream turbulence intensity under arbitrary pressure gradient. It was found that the variations of skin friction and shape factor as well as the profiles of mean velocity in the transition region were very satisfactorily predicted.

임의의 위치에 인쇄된 우정업무용 폭 및 높이 변조형 바코드의 인식 (Recognition of width and height modulated barcode printed at arbitrary position for postal service)

  • 김현수;이강희;유중돈
    • 한국통신학회논문지
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    • 제23권4호
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    • pp.805-814
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    • 1998
  • 우편물의 정보처리를 위하여 임의의 위치에 인쇄된 높이 변조 및 폭 변조 바코드를 인식할 수 있는 효율적인 화상 처리 알고리즘을 제안하였다. 바코드를 인식하기 위하여 주소와 바코드 등이 포함된 화상으로부터 바코드 영역을 분리시켜 추출하여야 한다, 본 연구에서는 Sobel 연산자로 계산한 바코드의 기울기 정보를 이용하여 임의의 각도로 회전된 바코드의 영역을 추출하였고, 추출된 바코드 영역을 이치화하여 폭과 높이 변조형 바코드를 해독 하였다. 제안한 화상처리 알고리즘은 다양한 조건하에서 4 state 및 폭 변조 바코드에 적용하였으며, 1통의 우편물을 처리하는데 0.86초가 소요되었고 98%이상의 인식률을 얻었다. 제안한 알고리즘은 폭과 높이 변조형 바코드의 인식에 함께 적용 가능하므로 향후 우정업무의 정보치리에 활용될 것으로 기대된다.

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Thermal bending analysis of functionally graded thick sandwich plates including stretching effect

  • Mohammed Sid Ahmed Houari;Aicha Bessaim;Smain Bezzina;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • 제86권3호
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    • pp.373-384
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    • 2023
  • The main objective of this research work is to present analytical solutions for the thermoelastic bending analysis of sandwich plates made of functionally graded materials with an arbitrary gradient. The governing equations of equilibrium are solved for a functionally graded sandwich plates under the effect of thermal loads. The transverse shear and normal strain and stress effects on thermoelastic bending of such sandwich plates are considered. Field equations for functionally graded sandwich plates whose deformations are governed by either the shear deformation theories or the classical theory are derived. Displacement functions that identically satisfy boundary conditions are used to reduce the governing equations to a set of coupled ordinary differential equations with variable coefficients. The results of the shear deformation theories are compared together. Numerical results for deflections and stresses of functionally graded metal-ceramic plates are investigated.

Pre-buckling deflection effects on stability of thin-walled beams with open sections

  • Mohri, F.;Damil, N.;Potier-Ferry, M.
    • Steel and Composite Structures
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    • 제13권1호
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    • pp.71-89
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    • 2012
  • The paper investigates beam lateral buckling stability according to linear and non-linear models. Closed form solutions for single-symmetric cross sections are first derived according to a non-linear model considering flexural-torsional coupling and pre-buckling deformation effects. The closed form solutions are compared to a beam finite element developed in large torsion. Effects of pre-buckling deflection and gradient moment on beam stability are not well known in the literature. The strength of singly symmetric I-beams under gradient moments is particularly investigated. Beams with T and I cross-sections are considered in the study. It is concluded that pre-buckling deflections effects are important for I-section with large flanges and analytical solutions are possible. For beams with T-sections, lateral buckling resistance depends not only on pre-buckling deflection but also on cross section shape, load distribution and buckling modes. Effects of pre-buckling deflections are important only when the largest flange is under compressive stresses and positive gradient moments. For negative gradient moments, all available solutions fail and overestimate the beam strength. Numerical solutions are more powerful. Other load cases are investigated as the stability of continuous beams. Under arbitrary loads, all available solutions fail, and recourse to finite element simulation is more efficient.

원통형 이상체에 의한 자력 반응식 (The Closed-form Expressions of Magnetic Field Due to a Right Cylinder)

  • 임형래;엄주영
    • 지구물리와물리탐사
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    • 제23권1호
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    • pp.50-54
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    • 2020
  • 이 논문에서는 축 방향 대칭성을 가지는 원통형 이상체 대한 자력 반응식을 유도하였다. 일정한 방향으로 자화된 이상체가 생성시키는 자력장은 일정한 밀도를 가지는 이상체에 의한 중력 변화율 텐서로부터 변환 가능한 포아송(Poisson) 관계식을 이용하여 기존에 이미 유도된 원통형에 의한 중력 변화율 텐서로부터 3성분 자력 벡터를 유도하였다. 축 방향 대칭성을 이용하여 중력 변화율 텐서를 원통 좌표계에서 유도하였고 이를 직교 좌표계로 변환한 후 이상체의 자화 방향과 결합하여 3성분 자력 벡터를 유도하였다.