• 제목/요약/키워드: Approximations

검색결과 687건 처리시간 0.025초

Effects of triaxial magnetic field on the anisotropic nanoplates

  • Karami, Behrouz;Janghorban, Maziar;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제25권3호
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    • pp.361-374
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    • 2017
  • In this study, the influences of triaxial magnetic field on the wave propagation behavior of anisotropic nanoplates are studied. In order to include small scale effects, nonlocal strain gradient theory has been implemented. To study the nanoplate as a continuum model, the three-dimensional elasticity theory is adopted in Cartesian coordinate. In our study, all the elastic constants are considered and assumed to be the functions of (x, y, z), so all kind of anisotropic structures such as hexagonal and trigonal materials can be modeled, too. Moreover, all types of functionally graded structures can be investigated. eigenvalue method is employed and analytical solutions for the wave propagation are obtained. To justify our methodology, our results for the wave propagation of isotropic nanoplates are compared with the results available in the literature and great agreement is achieved. Five different types of anisotropic structures are investigated in present paper and then the influences of wave number, material properties, nonlocal and gradient parameter and uniaxial, biaxial and triaxial magnetic field on the wave propagation analysis of anisotropic nanoplates are presented. From the best knowledge of authors, it is the first time that three-dimensional elasticity theory and nonlocal strain gradient theory are used together with no approximation to derive the governing equations. Moreover, up to now, the effects of triaxial magnetic field have not been studied with considering size effects in nanoplates. According to the lack of any common approximations in the displacement field or in elastic constant, present theory has the potential to be used as a bench mark for future works.

Buckling delamination of the PZT/Metal/PZT sandwich circular plate-disc with penny-shaped interface cracks

  • Cafarova, Fazile I.;Akbarov, Surkay D.;Yahnioglu, Nazmiye
    • Smart Structures and Systems
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    • 제19권2호
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    • pp.163-179
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    • 2017
  • The axisymmetric buckling delamination of the Piezoelectric/Metal/Piezoelectric (PZT/Metal/PZT) sandwich circular plate with interface penny-shaped cracks is investigated. The case is considered where open-circuit conditions with respect to the electrical displacement on the upper and lower surfaces, and short-circuit conditions with respect to the electrical potential on the lateral surface of the face layers are satisfied. It is assumed that the edge surfaces of the cracks have an infinitesimal rotationally symmetric initial imperfection and the development of this imperfection with rotationally symmetric compressive forces acting on the lateral surface of the plate is studied by employing the exact geometrically non-linear field equations and relations of electro-elasticity for piezoelectric materials. The sought values are presented in the power series form with respect to the small parameter which characterizes the degree of the initial imperfection. The zeroth and first approximations are used for investigation of stability loss and buckling delamination problems. It is established that the equations and relations related to the first approximation coincide with the corresponding ones of the three-dimensional linearized theory of stability of electro-elasticity for piezoelectric materials. The quantities related to the zeroth approximation are determined analytically, however the quantities related to the first approximation are determined numerically by employing Finite Element Method (FEM). Numerical results on the critical radial stresses acting in the layers of the plate are presented and discussed. In particular, it is established that the piezoelectricity of the face layer material causes an increase (a decrease) in the values of the critical compressive stress acting in the face (core) layer.

3차원 벡터필드 탄젠트 곡선 계산을 위한 사면체 분해 방법 (A Tetrahedral Decomposition Method for Computing Tangent Curves of 3D Vector Fields)

  • 정일홍
    • 디지털콘텐츠학회 논문지
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    • 제16권4호
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    • pp.575-581
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    • 2015
  • 본 논문에서는 3차원 벡터필드의 탄젠트 곡선을 계산하는 효율적이고 정확한 방법을 제안한다. 탄젠트 곡선 상의 정확한 값을 구하지 못하고 단지 탄젠트 곡선의 근사치를 구하는 Runge-Kutta 같은 기존의 방법과는 달리 여기서 제안한 방법은 3D 사면체 도메인에서 벡터필드가 선형적으로 변한다는 가정하에 탄젠트 곡선 상의 정확한 값을 계산한다. 새로 제안한 방법은 벡터필드가 3D 사면체 도메인에서 선형적으로 변한다고 가정한다. 우선 이 방법은 3차원 벡터필드에서 육면체 셀을 5 또는 6개의 사면체 셀로 분해하는 것을 요구한다. 임계점은 각 사면체의 간단한 선형 시스템을 풀어서 간단하게 구할 수 있다. 이 방법은 이전 사면체에서 계산된 탄젠트 곡선상의 점들을 기초로 다음 사면체에서 탄젠트 곡선상의 계속적인 점들을 생성함으로써 출구 점을 구한다. 탄젠트 곡선상의 점들은 각 사면체의 명시해에 의해서 계산되었기 때문에 새로운 방법은 3D 벡터필드를 가시화하는데 정확한 위상을 마련한다.

Modeling reaction injection molding process of phenol-formaldehyde resin filled with wood dust

  • Lee, Jae-Wook;Kwon, Young-Don;Leonov, A.I.
    • Korea-Australia Rheology Journal
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    • 제20권2호
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    • pp.59-63
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    • 2008
  • A theoretical model was developed to describe the flow behavior of a filled polymer in the packing stage of reaction injection molding and predict the residual stress distribution of thin injection-molded parts. The model predictions were compared with experiments performed for phenol-formaldehyde resin filled with wood dust and cured by urotropine. The packing stage of reaction injection molding process presents a typical example of complex non-isothermal flow combined with chemical reaction. It is shown that the time evolution of pressure distribution along the mold cavity that determines the residual stress in the final product can be described by a single 1D partial differential equation (PDE) if the rheological behavior of reacting liquid is simplistically described by the power-law approach with some approximations made for describing cure reaction and non-isothermality. In the formulation, the dimensionless time variable is defined in such a way that it includes all necessary information on the cure reaction history. Employing the routine separation of variables made possible to obtain the analytical solution for the nonlinear PDE under specific initial condition. It is shown that direct numerical solution of the PDE exactly coincides with the analytical solution. With the use of the power-law approximation that describes highly shear thinning behavior, the theoretical calculations significantly deviate from the experimental data. Bearing in mind that in the packing stage the flow is extremely slow, we employed in our theory the Newtonian law for flow of reacting liquid and described well enough the experimental data on evolution of pressure.

골절 방지 시스템의 개발을 위한 낙상 동적 특성 분석 (Dynamic Characterization of Fall for Development of Fracture Prevention System)

  • 김성현;김용욱;권대규;김동욱;김남균
    • 대한의용생체공학회:의공학회지
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    • 제28권6호
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    • pp.811-816
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    • 2007
  • The social activities of the elderly have been increasing as our society progresses toward an aging society. As their activities are increased, the occurrence of falls that could lead to fractures are increased. Falls are serious health hazards to the elderly and we need more thorough understanding of falls including the progress of falls and the impact area in various fall directions. Many of the traditional methods of falls research dealt with voluntary falls by younger subject since older subject can easily get fracture from voluntary falls. So, it has been difficult to get exact data about falls of the elderly. Here, we tried to capture the characteristics of the movements of major joints using three dimensional motion capture system during falls experiments using a moving mattress that can safely induce unexpected falls. Healthy younger subjects participated in the actual falls experiment and the moving mattress was actuated by a pneumatic system. The kinematic parameters such as velocities and accelerations of major segments were imported to a computer simulation environment and falls to hard surfaces were simulated in a computational environment using a realistic human model of aged persons. The simulation was able to give approximations to contact forces which can occur during actual falls.

소비자 프라이버시 보호에 관한 다항식 기반 연구 (A Polynomial-based Study on the Protection of Consumer Privacy)

  • 박연희;김민지
    • 한국IT서비스학회지
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    • 제19권1호
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    • pp.145-158
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    • 2020
  • With the development and widespread application of online shopping, the number of online consumers has increased. With one click of a mouse, people can buy anything they want without going out and have it sent right to the doors. As consumers benefit from online shopping, people are becoming more concerned about protecting their privacy. In the group buying scenario described in our paper, online shopping was regarded as intra-group communication. To protect the sensitive information of consumers, the polynomial-based encryption key sharing method (Piao et al., 2013; Piao and Kim, 2018) can be applied to online shopping communication. In this paper, we analyze security problems by using a polynomial-based scheme in the following ways : First, in Kamal's attack, they said it does not provide perfect forward and backward secrecy when the members leave or join the group because the secret key can be broken in polynomial time. Second, for simultaneous equations, the leaving node will compute the new secret key if it can be confirmed that the updated new polynomial is recomputed. Third, using Newton's method, attackers can successively find better approximations to the roots of a function. Fourth, the Berlekamp Algorithm can factor polynomials over finite fields and solve the root of the polynomial. Fifth, for a brute-force attack, if the key size is small, brute force can be used to find the root of the polynomial, we need to make a key with appropriately large size to prevent brute force attacks. According to these analyses, we finally recommend the use of a relatively reasonable hash-based mechanism that solves all of the possible security problems and is the most suitable mechanism for our application. The study of adequate and suitable protective methods of consumer security will have academic significance and provide the practical implications.

GEOMETRY OF SATELLITE IMAGES - CALIBRATION AND MATHEMATICAL MODELS

  • JACOBSEN KARSTEN
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2005년도 Proceedings of ISRS 2005
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    • pp.182-185
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    • 2005
  • Satellite cameras are calibrated before launch in detail and in general, but it cannot be guaranteed that the geometry is not changing during launch and caused by thermal influence of the sun in the orbit. Modem satellite imaging systems are based on CCD-line sensors. Because of the required high sampling rate the length of used CCD-lines is limited. For reaching a sufficient swath width, some CCD-lines are combined to a longer virtual CCD-line. The images generated by the individual CCD-lines do overlap slightly and so they can be shifted in x- and y-direction in relation to a chosen reference image just based on tie points. For the alignment and difference in scale, control points are required. The resulting virtual image has only negligible errors in areas with very large difference in height caused by the difference in the location of the projection centers. Color images can be related to the joint panchromatic scenes just based on tie points. Pan-sharpened images may show only small color shifts in very mountainous areas and for moving objects. The direct sensor orientation has to be calibrated based on control points. Discrepancies in horizontal shift can only be separated from attitude discrepancies with a good three-dimensional control point distribution. For such a calibration a program based on geometric reconstruction of the sensor orientation is required. The approximations by 3D-affine transformation or direct linear transformation (DL n cannot be used. These methods do have also disadvantages for standard sensor orientation. The image orientation by geometric reconstruction can be improved by self calibration with additional parameters for the analysis and compensation of remaining systematic effects for example caused by a not linear CCD-line. The determined sensor geometry can be used for the generation? of rational polynomial coefficients, describing the sensor geometry by relations of polynomials of the ground coordinates X, Y and Z.

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직교이방성 적층구조 해석을 위한 부분-선형 층별이론에 기초한 저매개변수요소 (Subparametric Element Based on Partial-linear Layerwise Theory for the Analysis of Orthotropic Laminate Composites)

  • 안재석;우광성
    • 한국전산구조공학회논문집
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    • 제22권2호
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    • pp.189-196
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    • 2009
  • 본 논문에서는 적층구조 해석을 위해 부분 선형 층별이론에 의해 정식화된 저매개변수 유한요소 모델을 제안한다. 얇은 직교이방성 문제뿐만 아니라, 두꺼운 식교이방성 적층판 해석을 위해 제안된 모델은 2차원 세분화 기법에 기초를 두고 있다. 즉, 이 모델은 두께방향으로의 면내거동에 대해서는 선형변화로 가정하는 층별분리 이론이 적용되고, 두께방향으로의 면외거동에 대해서는 상수로 가정하는 등가단층이론이 사용된다. 변위장을 정의하기 위해 적분형 르장드르 다항식이 사용된다. 또한 가우스-로바토 적분법을 사용하여, 적층평판의 종래의 가우스적분점이 아닌 절점의 위치에 발생하는 최대응력값을 별도의 외삽법을 사용하지 않고 바로 산출하였다. 제안된 모델의 정당성과 특성은 직교이방성 다층적층판 문제를 사용하여 검증되었으며, 그 결과는 출판된 참고문헌의 값들과 비교되었다. 이 연구에서는 최적의 유한요소 적층모델을 결정하기 위해 응력과 최대처짐을 사용한 수렴성조사가 수행되었다. 또한, 적층 수의 증가에 따른 두께방향으로의 변위와 응력분포의 변화가 조사되었다.

An Analytical Model of the First Eigen Energy Level for MOSFETs Having Ultrathin Gate Oxides

  • Yadav, B. Pavan Kumar;Dutta, Aloke K.
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제10권3호
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    • pp.203-212
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    • 2010
  • In this paper, we present an analytical model for the first eigen energy level ($E_0$) of the carriers in the inversion layer in present generation MOSFETs, having ultrathin gate oxides and high substrate doping concentrations. Commonly used approaches to evaluate $E_0$ make either or both of the following two assumptions: one is that the barrier height at the oxide-semiconductor interface is infinite (with the consequence that the wave function at this interface is forced to zero), while the other is the triangular potential well approximation within the semiconductor (resulting in a constant electric field throughout the semiconductor, equal to the surface electric field). Obviously, both these assumptions are wrong, however, in order to correctly account for these two effects, one needs to solve Schrodinger and Poisson equations simultaneously, with the approach turning numerical and computationally intensive. In this work, we have derived a closed-form analytical expression for $E_0$, with due considerations for both the assumptions mentioned above. In order to account for the finite barrier height at the oxide-semiconductor interface, we have used the asymptotic approximations of the Airy function integrals to find the wave functions at the oxide and the semiconductor. Then, by applying the boundary condition at the oxide-semiconductor interface, we developed the model for $E_0$. With regard to the second assumption, we proposed the inclusion of a fitting parameter in the wellknown effective electric field model. The results matched very well with those obtained from Li's model. Another unique contribution of this work is to explicitly account for the finite oxide-semiconductor barrier height, which none of the reported works considered.

골절 방지 시스템의 개발을 위한 낙상 시뮬레이션과 충격 흡수 시스템에 관한 연구 (Fall Simulation and Impact Absorption system for Development of Fracture Prevention System)

  • 김성현;김동욱;김남균
    • 대한의용생체공학회:의공학회지
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    • 제31권6호
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    • pp.438-448
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    • 2010
  • The social activities of the elderly have been increasing as our society progresses toward an aging society. As their activities are increased, the occurrence of falls that could lead to fractures are increased. Falls are serious health hazards to the elderly and we need more thorough understanding of falls including the progress of falls and the impact area in various fall directions. Many of the traditional methods of falls research dealt with voluntary falls by younger subject since older subject can easily get fracture from voluntary falls. So, it has been difficult to get exact data about falls of the elderly. Here, we tried to capture the characteristics of the movements of major joints using three dimensional motion capture system during falls experiments using a moving mattress that can safely induce unexpected falls. Healthy younger subjects participated in the actual falls experiment and the moving mattress was actuated by a pneumatic system. The kinematic parameters such as velocities of major segments were imported to a computer simulation environment and falls to hard surfaces were simulated in a computational environment using a realistic human model of aged persons. The simulation was able to give approximations to contact forces which can occur during actual falls. And we designed impact absorption system to reduce the impact during falls. We can adapt this system to fracture prevention system that we are going to study.