• International Journal of Aeronautical and Space Sciences
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• 제18권2호
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• pp.175-185
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• 2017

This paper presents new differential methods for computing the combined and single dynamic stability derivatives of flight vehicle. Based on rigid dynamic mesh technique, the combined dynamic stability derivative can be achieved by imposing the aircraft pitching to the same angle of attack with two different pitching angular velocities and also translating it to the same additional angle of attack with two different rates of angle of attack. As a result, the acceleration derivative is identified. Moreover, the rotating reference frame is adopted to calculate the rotary derivatives when simulating the steady pull-up with different pitching angular velocities. Two configurations, the Hyper Ballistic Shape (HBS) and Finner missile model, are considered as evaluations and results of all the cases agree well with reference or experiment data. Compared to traditional ones, the new differential methods are of high efficiency and accuracy, and potential to be extended to the simulation of combined and single stability derivatives of directional and lateral.

• Korean Journal of Mathematics
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• 제25권3호
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• pp.405-435
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• 2017

We deal with a sensitivity analysis of an optimal shape control problem for the stationary Navier-Stokes system. A two-dimensional channel flow of an incompressible, viscous fluid is examined to determine the shape of a bump on a part of the boundary that minimizes the viscous drag. By using the material derivative method and adjoint variables for a shape sensitivity analysis, we derive the shape gradient of the design functional for the model problem.

• 대한기계학회논문집
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• 제15권6호
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• pp.1852-1860
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• 1991

본 연구에서는 연구대상을 주어진 구조물 형상에서 경계조건의 변화에 따른 현상 설계민감도, 특히 하중경계조건의 변화에 따른 구조물의 변형에 주안점을 두었다. 이 연구결과는 가공물의 지지위치에 따른 가공면의 변형정도 향상 및 접촉문제 해석등 에 응용이 가능하다. 유도된 민감도가 정확함을 입증하기 위하여 예제로서 하중경계 조건의 변화에 따른 범함수로 정의된 변형의 변화량을 예측하는 문제를 선정하였다.

• Bulletin of the Korean Chemical Society
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• 제35권1호
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• pp.135-140
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• 2014

A bent-shape triazolyl derivative was synthesized via click chemistry, and its photophysical property was investigated in various solvents. In contrast to the invisible ultraviolet emission of other solutions, the chloroform solution exhibited a blue light emission at 460 nm. Furthermore, the blue fluorescence intensified as the UV exposure time at 365 nm increased. On the basis of $^1H$-NMR, pH paper, and acid-addition studies, we confirmed that chloroform was decomposed into HCl with the aid of the triazolyl derivative. The density functional theory calculations suggested that the eye-detectable blue fluorescence was attributed to an intramolecular charge transfer process of the protonated triazolyl derivative in the chloroform solution.

• Computational Structural Engineering : An International Journal
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• 제3권1호
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• pp.39-47
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• 2003

Generalized CMAC (GCMAC) is a type of neural network known to be fast in learning. The network may be useful in structural engineering applications such as the identification and the control of structures. The derivatives of a trained GCMAC is relatively poor in accuracy. Therefore to improve the accuracy, a new algorithm is proposed. If GCMAC is directly differentiated, the accuracy of the derivative is not satisfactory. This is due to the quantization of input space and the shape of basis function used. Using the periodicity of the predicted output by GCMAC, the derivative can be improved to the extent of having almost no error. Numerical examples are considered to show the accuracy of the proposed algorithm.

• 한국전산구조공학회논문집
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• 제21권3호
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• pp.239-245
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• 2008

확장 B-스플라인 기저함수(extended B-spline basis functions)을 이용한 레벨셋 기반의 위상 형상 최적설계 기법을 정상 상태의 열전도 문제에 대하여 개발하였다. 본 해석법은 레벨셋으로 결정된 영역 안쪽만 고려하여 해석을 수행하게 되므로 열전달 문제에서 생길 수 있는 영역 바깥부분 영향을 제거할 수 있다. 설계민감도 해석으로부터 결정되는 법선속도를 활용하여 헤밀턴-자코비 방정식의 해를 구하게 되며, 주어진 체적조건 하에서 열 컴플라이언스(thermal compliance)가 최소가 되는 방향으로 최적의 형상을 결정할 수 있다. 형상 설계민감도를 정확하게 얻기 위해서는 레벨셋 함수와 B-스플라인 함수를 이용하여 수직 단위 벡터와 형상의 곡률을 정확히 결정하며, 위상 설계민감도를 통해 최적화과정 동안 필요한 위치와 시점에서 위상의 변화를 주는 홀을 쉽게 생성할 수 있다.

• 한국정밀공학회지
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• 제20권8호
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• pp.175-184
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• 2003

A method of the shape design sensitivity analysis based on the boundary integral equation formulation is presented for two-dimensional inhomogeneous thermal conducting solids with multiple domains. Shape variation of the external and interface boundary is considered. A sensitivity formula of a general performance functional is derived by taking the material derivative to the boundary integral identity and by introducing an adjoint system. In numerical analysis, state variables of the primal and adjoint systems are solved by the boundary element method using quadratic elements. Two numerical examples of a compound cylinder and a thermal diffuser are taken to show implementation of the shape design sensitivity analysis. Accuracy of the present method is verified by comparing analyzed sensitivities with those by the finite difference. As application to the shape optimization, an optimal shape of the thermal diffuser is found by incorporating the sensitivity analysis algorithm in an optimization program.

• 대한기계학회논문집A
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• 제20권5호
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• pp.1458-1467
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• 1996

A direct differentiationmethod is presented for the shape design sensitivity analysis of axisymmeetric elastic solids. Based on the exisymmetric boundary integralequaiton formulation, a new boundary ntegral equatio for sensitivity analysis is derived by taking meterial derivative to the same integral identity that was used in the adjoint variable melthod. Numerical implementation is performed to show the applicaiton of the theoretical formulation. For a simple example with analytic solution, the sensitivities by present method are compared with analytic sensitivities. As an application to the shape optimization, an optimal shape of a gas turbine disc toinimize the weight under stress constraints is found by incorporating the sensitivity analysis algorithm in an optimizatio program.

• 대한수학회논문집
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• 제18권2호
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• pp.309-323
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• 2003

In this paper, We characterize a semi-invariant sub-manifold of codimension 3 satisfying ∇$\varepsilon$A = 0 in a complex projective space CP$\^$n+1/, where ∇$\varepsilon$A is the covariant derivative of the shape operator A in the direction of the distinguished normal with respect to the structure vector field $\varepsilon$.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1990년도 하계학술대회 논문집
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• pp.19-22
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• 1990

In order to optimize systematically the shape of electromagnetic devices, two sensitivity analyses, one based on finite element method and the other based on variational formulae and material derivative in continuum mechanics, are proposed. These are applied to eddy current problem of time-varying field and verified these usefulness.