• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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• pp.123-130
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• 2002

A general formulation for shape design sensitivity analysis over three dimensional beam structure is developed based on a variational formulation of the beam in linear elasticity. Sensitivity formula is derived based on variational equations in cartesian coordinates using the material derivative concept and adjoint variable method for the displacement and Von-Mises stress functionals. Shape variation is considered for the beam shape in general 3-dimensional direction as well as for the orientation angle of the beam cross section. In the sensitivity expression, the end points evaluation at each beam segment is added to the integral formula, which are summed over the entire structure. The sensitivity formula can be evaluated with generality and ease even by employing piecewise linear design velocity field despite the bending model is fourth order differential equation. For the numerical implementation, commercial software ANSYS is used as analysis tool for the primal and adjoint analysis. Once the design variable set is defined using ANSYS language, shape and orientation variation vector at each node is generated by making finite difference to the shape with respect to each design parameter, and is used for the computation of sensitivity formula. Several numerical examples are taken to show the advantage of the method, in which the accuracy of the sensitivity is evaluated. The results are found excellent even by employing a simple linear function for the design velocity evaluation. Shape optimization is carried out for the geometric design of an archgrid and tilted bridge, which is to minimize maximum stress over the structure while maintaining constant weight. In conclusion, the proposed formulation is a useful and easy tool in finding optimum shape in a variety of the spatial frame structures.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2002년도 하계학술대회 논문집 B
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• pp.835-837
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• 2002

This paper presents a shape optimization algorithm of electromagnetic devices using the design sensitivity analysis with FEM. The design sensitivity and adjoint variable formulas are derived for the 3D FEM with edge element. This algorithm is applied to 3D electro-magnet pole shape optimization problem to make a uniform flux density at the target region.

• 한국안전학회지
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• 제16권4호
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• pp.160-167
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• 2001

Cracking in connote structures is one of the main issues of structural design next to ensuring the load-bearing capacity. Thermal analysis is used to prevent thermal mucking, but concrete properties are uncertain variable, and analysis results have uncertainty, too. In this study, sensitivity analysis is performed to investigate the effect of conductivity, specific heal and pouring temperature. The results show that lower conductivity and higher specific heat increase the maximum temperature and maximum tensile stress. The structure with internal restraint is mostly influenced by the change of conductivity and specific heat.

• 대한토목학회논문집
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• 제8권1호
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• pp.69-75
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• 1988

활성 슬러지 하수처리장의 주요 Process Control Variables인 Sludge age와 Sludge recycle올 고려하여 폐슬러지의 유량 ($Q_w$)을 효과적으로 결정하기 위한 두가지의 식이 개발되었다. 아울러 반송 슬러지의 일부를 폐슬러지로 배출할 경우에는 우선 순환비 (R)를, 포기조내의 활성슬러지의 일부를 폐슬러지로 배출할 경우에는 2차침전지의 슬러지 침전효율($S_f$)을 정확히 측정하여 개발된 식을 이용하면 폐슬러지의 유량을 용이하게 산정할 수 있다는 사실이 Sensitivity analysis의 결과로 밝혀졌다.

• 한국전자파학회논문지
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• 제17권2호
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• pp.158-164
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• 2006

본 논문에서는 시간 영역 유한차분법(FDTD: Finite-Difference Time-Domain Method)과 설계 민감도법(design sensitivity analysis)을 이용하여 미지의 유전체 산란체(dielectric scatterer) 복원을 위한 역산란 문제(inverse scattering)의 새로운 해석 기법을 제안하였다. 본 연구에서는 빠른 수렴을 위하여 목적 함수의 도함수를 이용한 설계 민감도법을 도입하였고, 시간 영역 유한차분법으로부터 직접 설계 민감도 수식을 도출하였다. 해석의 효율성을 위하여 보조 변수법(adjoint variable method)을 도입하여 보조 변수 방정식을 도출하고 최적화 알고리듬으로 최대 경사도법을 이용하여 반복적인 추정을 통하여 미지의 유전체를 복원하였다. 본 연구의 타당성의 보이기 위하여 2차원 $TM^z$에서의 유전체 복원 사례를 제시한다.

• 대한기계학회논문집A
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• 제28권6호
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• pp.670-676
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• 2004

Most metallic materials and alloys show rate independence or negative rate sensitivity in some temperature region when dynamic strain aging occurs. It is generally recognized that negative rate sensitivity is an essential feature of dynamic strain aging that can depend on strain and/or strain rate. The unified viscoplasticity theory based on overstress is applied to reproduce a change of rate sensitivity type that depends on strain or strain rate. This is accomplished through the introduction of a single new term in the growth law of the equilibrium stress, which is a tensor valued state variable of the model. It is also shown that the new term can be used to reproduce a dramatic increase of rate sensitivity in dynamic plasticity.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1991년도 가을 학술발표회 논문집
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• pp.57-62
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• 1991

For the purpose of developing the method for efficiently calculating the design sensitivity and the reliability for the complicated structure such as ship structure, the probabilistic finite element method is introduced to formulate the deterministic design sensitivity analysis method and incorporated with the second moment reliability methods such as MVFOSM, AFOSM and SORM. Also, the probabilistic design sensitivity analysis needed in the reliability-based design is performed. The reliability analysis is carried out for the initial yielding failure, in which the derivative derived in the deterministic desin sensitivity is used. The present PFEM-based reliability method shows good agreement with Monte Carlo method in terms with the variance of response and the associated probability of failure even at the first or first few iteration steps. The probabilistic design sensitivity analysis evaluates explicitly the contribution of each random variable to probability of failure. Further, the reliability index variation can be easily predicted by the variation of the mean and the variance of the random variables.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2000년도 춘계 학술대회논문집
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• pp.66-72
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• 2000

Aerodynamic sensitivity analysis is performed for the Navier-Stokes equations coupled with two-equation turbulence models using a discrete adjoint method and a direct differentiation method respectively. Like the mean flow equations, the turbulence model equations are also hand-differentiated to accurately calculate the sensitivity derivatives of flow quantities with respect to design variables in turbulent viscous flows. Both the direct differentiation code and the adjoint variable code adopt the same time integration scheme with the flow solver to efficiently solve the differentiated equations. The sensitivity codes are then compared with the flow solver in terms of solution accuracy, computing time and computer memory requirements. The sensitivity derivatives obtained from the sensitivity codes with different turbulence models are compared with each other. Using two-equation turbulence models, it is observed that a usual assumption of constant turbulent eddy viscosity in adjoint methods may lead to seriously inaccurate results in highly turbulent flows.

• 한국지능시스템학회논문지
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• 제23권1호
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• pp.1-6
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• 2013

정격풍속이상에서 발전기의 출력을 일정하게 유지하기 위하여 PID에 기초한 다양한 종류의 방법들이 발표되었다. 그러나 고정된 PID 이득을 이용한 이러한 방법에서는 전 영역에서 동작하리라는 보장이 없다. 이 논문에서는 전 영역에서 동작하는 시스템을 설계하기 위하여 풍속의 강도에 따라 PID 이득이 변하는 방법을 제안하였다. 풍속의 강도에 따라 피치각에 따른 전력의 민감도는 계속 변하는데, PID 이득을 민감도의 함수로 유도하였다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 춘계학술대회논문집C
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• pp.543-547
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• 2001

CAE has been settled down to an indispensable tool for the simulation of a mechanical system according to the development of computer-aided analysis rapidly. Particularly finite element programs have advanced to the one of most valuable things in the filed of CAE due to the remarkable progress in the implementation. But since this analysis tool mostly provides the result of the analysis, it cannot satisfy designers who are seeking for information to improve their designs. Therefore, design sensitivity analysis or optimization module has been incorporated into commercial FEA programs to satisfy the desire of designers since 1990s. Design sensitivity analysis is to compute the rate of change of response with respected to design variable. Design sensitivity analysis is classfied into static design sensitivity analysis, Eigenvalue design sensitivity analysis and dynamic design sensitivity analysis. In this research, it will be presented to nonlinear static design sensitivity analysis formulation and nonlinear static design sensitivity analysis external module based ANSYS have been developed and illustrated an example to verify the developed module.