• 제목/요약/키워드: second-order expansion

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이방성재료내 혼합모드균열의 진전 해석 (Analysis of Mixed Mode Crack Extension in Anisotropic Solids)

  • 임원균;강석진;진영균
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 봄 학술발표회 논문집
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    • pp.301-308
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    • 2001
  • The problem of predicting crack propagation in anisotropic solids which is a subject of considerable practical importance is examined. The effect of the second term in the asymptotic expansion of the crack tip stress field on the direction of initial crack extension is made explicitly. We employ the normal stress ratio theory to determine values for the direction of initial crack extension. The theoretical analysis is performed for the wide range of the anisotropic material properties. It is shown that the use of second order term in the series expansion is essential for the accurate determination of crack growth direction in anisotropic solids.

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부가성 잡음이 존재하는 모노펄스 시스템 성능의 2변수 2차 테일러 전개 기반 분석 (Performance Analysis of Monopulse System Based on Second-Order Taylor Expansion of Two Variables in the Presence of an Additive Noise)

  • 유규태;함형우;이준호
    • 한국융합학회논문지
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    • 제13권1호
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    • pp.43-50
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    • 2022
  • 본 논문은 부가적인 잡음이 존재할 경우 모노펄스 알고리즘의 성능을 분석한 연구이다. 이전 연구에서는 변수가 4개일 때의 1차 테일러급수 전개와 2차 테일러급수 전개를 통한 진폭비교 모노펄스 알고리즘 성능 분석을 진행하였다. 4개의 잡음랜덤변수에서 2개의 잡음랜덤변수로 새롭게 정의하였으며, 2개의 랜덤변수와 관련된 수식의 복잡성이 4개의 랜덤변수와 관련된 수식의 복잡성보다 낮은 것을 보인다. 성능분석은 평균제곱오차(Mean Square Error : MSE)관점에서 몬테카를로(Mont-Carlo) 방법을 이용하여 분석하였다. 본 논문에서 제안한 방식은 기존 연구에서 제안한 방식보다 계산 복잡도 측면에서 더 효율적이다. 또한 본 연구에서 도출된 표현을 활용하여 추정각도 평균제곱오차의 해석적 표현을 구하는데 활용될 수 있다.

힌지형 조파기에 작용하는 비선형 파력 (Nonlinear Fluid Forces on Hinged Wavemakers)

  • Kim, Tae-In;Rocbert T. Hudspeth
    • 한국해안해양공학회지
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    • 제2권4호
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    • pp.208-222
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    • 1990
  • 가변흘수를 갖는 힌지형 조파기에 작용하는 비선형 파력 및 모멘트를 산정하기 위하여 비선형경계식 문제의 2차 근사해를 Stokes의 전개기법을 이용하여 구하였다. 2차파 성분이 파력 및 모멘트에 기여하는 물리적 의미에 대해 상술하였다. 2차파에 의한 비선형성과 조파판의 흘수에 따른 파력 모멘트 변화를 결정할 수 있도록 설계곡선을 제시하였다. 2차파 성분의 전도력 및 모멘트에 기여하는 부분은 조화성분과 상수성분으로 구성된다. 1차파와 2차파 성분을 합성한 파력 및 모멘트의 크기는 선형 조파이론의 값보다 상당한 증가를 보인다. 2차파 성분의 효과는 상대수심과 파고에 따라 달라지며 짧은 흘수를 갖는 조파기에서 상대적으로 더욱 중요하다.

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트랜스미디어에 나타난 패션 문화 콘텐츠의 매개특성 연구 - 20세기 이후 현대 패션사를 중심으로 - (A Study on the Characteristics of Mediation in Fashion Culture Contents Found in Transmedia - Focusing on Modern Fashion since the 20th Century -)

  • 김향자
    • 복식
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    • 제67권4호
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    • pp.131-152
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    • 2017
  • The purpose of this study is to analyze modern fashion culture in the 20th century through changes in transmedia in order to better understand characteristics of fashion contents. The study also strived to identify the characteristics of remediation in modern fashion and media by exploring the cultural code, and use it to establish an integrated view. The subjects and the method of the study are as follows. First, the study analyzed the development of transmedia and fashion culture since the 20th century. Second, it identified the transitional characteristics of transmedia. Third, the study analyzed the characteristics of remediation in modern fashion culture by using the characteristics of mediation, which appeared with the transitional characteristics of transmedia. The study results are as follows. First, the types of remediation are 'borrowing,' 'Representation,' 'Expansion,' 'Refashion,' and 'Absorb.' In old and new media, each type can be aesthetically experienced in 'transparency,' opaqueness,' 'Hypermediacy,' and 'Immediacy.' Second, fashion culture can undergo a transformation from its original form to a second and a third iteration, and this process allows for possibility of an expansion of multiple plots and well-rounded character settings. This opens up the possibility for fashion consumer participation, and signifies a transition into an environment where expansion of time and space is possible. The third finding is the non-mediation of fashion objects. The mediating relationship between clothes and media is directly connected to the development of new media. The immersion of new media by fashion consumers has the characteristics of 'transparency'/'Non-mediation,' and the reinterpretation and reproduction of original fashion styles have the characteristics of 'opaqueness'/'Hyper-mediation.' Fourth, fashion culture has data variability. Through 'Borrowing,' 'Representation,' 'Expansion,' 'Remodeling,' and 'Absorption,' the cultural hierarchy of reproduced fashion forms a multi-layered integrated network. Mediation code, which repurposes fashion culture contents, also creates new media fashion through transmedia.

최적설계시 이차근사법의 수치성능 평가에 관한 연구 (An Evaluation of the Second-order Approximation Method for Engineering Optimization)

  • 박영선;박경진;이완익
    • 대한기계학회논문집
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    • 제16권2호
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    • pp.236-247
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    • 1992
  • Optimization has been developed to minimize the cost function while satisfying constraints. Nonlinear Programming method is used as a tool for the optimization. Usually, cost and constraint function calculations are required in the engineering applications, but those calculations are extremely expensive. Especially, the function and sensitivity analyses cause a bottleneck in structural optimization which utilizes the Finite Element Method. Also, when the functions are quite noisy, the informations do not carry out proper role in the optimization process. An algorithm called "Second-order Approximation Method" has been proposed to overcome the difficulties recently. The cost and constraint functions are approximated by the second-order Taylor series expansion on a nominal points in the algorithm. An optimal design problem is defined with the approximated functions and the approximated problem is solved by a nonlinear programming numerical algorithm. The solution is included in a candidate point set which is evaluated for a new nominal point. Since the functions are approximated only by the function values, sensitivity informations are not needed. One-dimensional line search is unnecessary due to the fact that the nonlinear algorithm handles the approximated functions. In this research, the method is analyzed and the performance is evaluated. Several mathematical problems are created and some standard engineering problems are selected for the evaluation. Through numerical results, applicabilities of the algorithm to large scale and complex problems are presented.presented.

Spectral SFEM analysis of structures with stochastic parameters under stochastic excitation

  • Galal, O.H.;El-Tahan, W.;El-Tawil, M.A.;Mahmoud, A.A.
    • Structural Engineering and Mechanics
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    • 제28권3호
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    • pp.281-294
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    • 2008
  • In this paper, linear elastic isotropic structures under the effects of both stochastic operators and stochastic excitations are studied. The analysis utilizes the spectral stochastic finite elements (SSFEM) with its two main expansions namely; Neumann and Homogeneous Chaos expansions. The random excitation and the random operator fields are assumed to be second order stochastic processes. The formulations are obtained for the system solution of the two dimensional problems of plane strain and plate bending structures under stochastic loading and relevant rigidity using the previously mentioned expansions. Two finite element programs were developed to incorporate such formulations. Two illustrative examples are introduced: the first is a reinforced concrete culvert with stochastic rigidity subjected to a stochastic load where the culvert is modeled as plane strain problem. The second example is a simply supported square reinforced concrete slab subjected to out of plane loading in which the slab flexural rigidity and the applied load are considered stochastic. In each of the two examples, the first two statistical moments of displacement are evaluated using both expansions. The probability density function of the structure response of each problem is obtained using Homogeneous Chaos expansion.

Temperature effect on spherical Couette flow of Oldroyd-B fluid

  • Hassan, A. Abu-El;Zidan, M.;Moussa, M.M.
    • Korea-Australia Rheology Journal
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    • 제19권4호
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    • pp.201-209
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    • 2007
  • The present paper is concerned with non-isothermal spherical Couette flow of Oldroyd-B fluid in the annular region between two concentric spheres. The inner sphere rotates with a uniform angular velocity while the outer sphere is kept at rest. Moreover, the two spherical boundaries are maintained at fixed temperature values. Hence, the fluid is effect by two heat sources; namely, the viscous heating and the temperature gradient between the two spheres. The viscoelasticity of the fluid is assumed to dominate the inertia such that the latter can be neglected. An approximate analytical solution of the energy and momentum equations is obtained through the expansion of the dynamical fields in power series of Nahme number. The analysis show that, the temperature variation due to the external source appears in the zero order solution and its effect extends to the fluid velocity distribution up to present second order. Viscous heating contributes in the first and second order solutions. In contrast to isothermal case, a first order axial velocity and a second order stream function fields has been appeared. Moreover, at higher orders the temperature distribution depends on the gap width between the two spheres. Finally, there exist a thermal distribution of positive and negative values depend on their positions in the domain region between the two spheres.

AN ASYMPTOTIC FINITE ELEMENT METHOD FOR SINGULARLY PERTURBED HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS OF CONVECTION-DIFFUSION TYPE WITH DISCONTINUOUS SOURCE TERM

  • Babu, A. Ramesh;Ramanujam, N.
    • Journal of applied mathematics & informatics
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    • 제26권5_6호
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    • pp.1057-1069
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    • 2008
  • We consider singularly perturbed Boundary Value Problems (BVPs) for third and fourth order Ordinary Differential Equations(ODEs) of convection-diffusion type with discontinuous source term and a small positive parameter multiplying the highest derivative. Because of the type of Boundary Conditions(BCs) imposed on these equations these problems can be transformed into weakly coupled systems. In this system, the first equation does not have the small parameter but the second contains it. In this paper a computational method named as 'An asymptotic finite element method' for solving these systems is presented. In this method we first find an zero order asymptotic approximation to the solution and then the system is decoupled by replacing the first component of the solution by this approximation in the second equation. Then the second equation is independently solved by a fitted mesh Finite Element Method (FEM). Numerical experiments support our theoritical results.

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Probabilistic free vibration analysis of Goland wing

  • Kumar, Sandeep;Onkar, Amit Kumar;Manjuprasad, M.
    • International Journal of Aerospace System Engineering
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    • 제6권2호
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    • pp.1-10
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    • 2019
  • In this paper, the probabilistic free vibration analysis of a geometrically coupled cantilever wing with uncertain material properties is carried out using stochastic finite element (SFEM) based on first order perturbation technique. Here, both stiffness and damping of the system are considered as random parameters. The bending and torsional rigidities are assumed as spatially varying second order Gaussian random fields and represented by Karhunen Loeve (K-L) expansion. Here, the expected value, standard deviation, and probability distribution of random natural frequencies and damping ratios are computed. The results obtained from the present approach are also compared with Monte Carlo simulations (MCS). The results show that the uncertain bending rigidity has more influence on the damping ratio and frequency of modes 1 and 3 while uncertain torsional rigidity has more influence on the damping ratio and frequency of modes 2 and 3.

A Reversible Audio Watermarking Scheme

  • Kim, Hyoung-Joong;Sachnev, Vasiliy;Kim, Ki-Seob
    • 정보통신설비학회논문지
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    • 제5권1호
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    • pp.37-42
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    • 2006
  • A reversible audio watermarking algorithm is presented in this paper. This algorithm transforms the audio signal with the integer wavelet transform first in order to enhance the correlation between neighbor audio samples. Audio signal has low correlation between neighbor samples, which makes it difficult to apply difference expansion scheme. Second, a novel difference expansion scheme is used to embed more data by reducing the size of location map. Therefore, the difference expansion scheme used in this paper theoretically secures high embedding capacity under low perceptual distortion. Experiments show that this scheme can hide large number of information bits and keeps high perceptual quality.

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