• Title/Summary/Keyword: sensitivity matrix

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Design Sensitivity Analysis for the Optimal Shape Design of Magnetostatic Problems (정자계 문제의 형상 최적 설계를 위한 설계 민감도 해석)

  • Koh, Chang-Seop;Hahn, Song-Yop;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
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    • 1992.07b
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    • pp.567-569
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    • 1992
  • Design sensitivity analysis is proposed for the optimal shape design of three dimensional magnetostatic problems. The direct differentiation method is introduced for design sensitivity analysis and the boundary element method with reduced magnetic scalar potential as the state variable is used to analyze the magnetic characteristics. In the direct differentiation method, the design sensitivity, defined as the total derivative of the objective function with respect to the design variables, is calculated based on the variation of the state variable with respect to the design variable. And the variation of He state variable is calculated by differentiating the both sides of the system matrix equation obtained by applying boundary element method. Through the numerical example with simple electromagnet, the usefullness is proved.

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Study on sensitivity of modal parameters for suspension bridges

  • Liu, Chunhua;Wang, Ton-Lo;Qin, Quan
    • Structural Engineering and Mechanics
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    • v.8 no.5
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    • pp.453-464
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    • 1999
  • Safety monitoring systems of structures generally resort to detecting possible changes of dynamic system parameters. Sensitivity analysis of these dynamic system parameters may implement these techniques. Conventional structural eigenvalue problems are discussed in the scope of those systems with deterministic parameters. Large and flexible structures, such as suspension bridges, actually possess stochastic material properties and these random properties unavoidably affect the dynamic system parameters. The sensitivity matrix of structural modal parameters to basic design variables has been established in this paper. Moreover, second order statistics of natural frequencies due to the randomness of material properties have been discussed. It is concluded from numerical analysis of a modem suspension bridge that although the second order statistics of frequencies are small relatively to the change of basic design variables, such as density of mass and modulus of elasticity, the sensitivities of modal parameters to these variables at different locations change in magnitude.

Sensor selection approach for damage identification based on response sensitivity

  • Wang, Juan;Yang, Qing-Shan
    • Structural Monitoring and Maintenance
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    • v.4 no.1
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    • pp.53-68
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    • 2017
  • The response sensitivity method in time domain has been applied extensively for damage identification. In this paper, the relationship between the error of damage identification and the sensitivity matrix is investigated through perturbation analysis. An index is defined according to the perturbation amplify effect and an optimal sensor placement method is proposed based on the minimization of that index. A sequential sub-optimal algorithm is presented which results in consistently good location selection. Numerical simulations with a two-dimensional high truss structure are conducted to validate the proposed method. Results reveal that the damage identification using the optimal sensor placement determined by the proposed method can identify multiple damages of the structure more accurately.

Error Estimation for the Semi-Analytic Design Sensitivity Using the Geometric Series Expansion Method (기하급수 전개법을 이용한 준해석 민감도의 오차 분석)

  • Dan, Ho-Jin;Lee, Byung-Chai
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.2
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    • pp.262-267
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    • 2003
  • Error of the geometric series expansion method for the structural sensitivity analysis is estimated. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of the promising remedies is the use of geometric series formula for the matrix inversion. Its result of the sensitivity analysis converges that of the global difference method which is known as reliable one. To reduce computational efforts and to obtain reliable results, it is important to know how many terms need to expand. In this paper, the error formula is presented and Its usefulness is illustrated through numerical experiments.

Sensitivity Analysis for Optimum Shape Design of Electric Apparatus (전기기기 최적형상 설계를 위한 민감도 해석에 관한 연구)

  • Hahn, Song-Yop;Jung, Hyun-Kyo
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.9
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    • pp.859-865
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    • 1991
  • This paper presents a new shaoe optimal design method using Desing Sensitivity Analysis. Design Sensitivity, defined as the variation of the object function with respect to the design variables, is based on the total differentiation of the matrix equation obtained from discretization of governing equations with respect to design variables. Analysis of the various characteristics adn calculation of Design Sensitivity of optimization model are achieved by using finite or boundary element methods. The proposee algorithm is applied to the optimal shape design of high voltage electrode under specified conditions. It is shown, from the numerical results, that the algorithm is very useful for the optimal shape design of electric apparatus.

Design Sensitivity Analysis for the Optimal Shape Design of Three-Dimensional Magnetostatic Problems (3차원 정자계 문제의 형상 최적설계를 위한 설계 민감도 해석)

  • 고창섭;정현교;한송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.8
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    • pp.850-857
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    • 1992
  • Design sensitivity analysis is proposed for the optimal shape design of three-dimensional magnetostatic problems. The direct differentiation method is introduced for design sensitivity analysis and the boundary element method with reduced magnetic scalar potential as the state variable is used to analyze the magnetic characteristics. In the direct differentiation method, the design sensitivity, defined as the total derivative of the objective function with respect to the design variables, is calculated based on the variation of the state variable with respect to the design variable. And the variation of the state variable is calculated by differetiating the both sides of the system matrix equation obtained by applying boundary element method. Through the numerical example with simple electromagnet, the usefulness is proved.

Fabrication of Polyimide Film Electrode by Laser Ablation and Application for Electrochemical Glucose Biosensor (Laser ablation을 이용한 폴리이미드 필름 전극제조 및 전기화학적 글루코오즈 바이오센서 응용)

  • Park, Deog-Su
    • Journal of Sensor Science and Technology
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    • v.22 no.5
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    • pp.357-363
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    • 2013
  • An ultraviolet pulsed laser ablation of polyimide film coated with platinum has been used to enhance the sensitivity for the application as an electrochemical biosensor. Densely packed cones are formed on polyimide surface after UV irradiation which results in increase of surface area. In order to apply the sensitivity improvement of laser ablated polyimide film electrodes, the glucose oxidase modified biosensor was fabricated by using an encapsulation in the gel matrix through sol-gel transition of tetraethoxysliane on the surface of laser ablated polyimide film. The optimum conditions for glucose determination have been characterized with respect to the applied potential and pH. The linear range and detection limit of glucose detection were from 2.0 mM to 18.0 mM and 0.18 mM, respectively. The sensitivity of glucose biosensors fabricated with laser ablated polyimide film is about three times higher than that of plain polyimide film due to increase in surface area by laser ablation.

Rotordynamics Design Sensitivity Analysis of an APU Gas Turbine having a Spline Shaft Connection (스플라인-축 연결을 갖는 보조동력장치 가스터빈의 로터다이나믹 설계민감도 해석)

  • Lee, An-Sung;Ha, Jin-Woong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.11a
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    • pp.593-598
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    • 2000
  • In this paper the critical speed analysis and design sensitivity investigation are carried out with an APU(auxiliary power unit) gas turbine having a spline shaft connection. The DDM(direct differential method) is directly applied to formulate the critical speed design sensitivity problem of a general nonsymmetric-matrix rotor-bearing system. The design sensitivity analysis have shown that the critical speed change rate to the support modeling of the spline shaft connection point is extremely negligible, and thereby its design uncertainty is lifted. It has also been confirmed that the critical speeds up to the 4th are not sensitive to the design stiffness coefficients of 4-main bearings or supports, including two air foil bearings. Further, the critical speed change rate to the shaft-element length have shown quantitatively that the spline shaft has some limited influence on the 4th critical speed.

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Prediction of Structural Modified Design Parameter due to the Change of Dynamic Characteristic (동특성변화에 따른 구조물의 변경된 설계파라미터 예측)

  • 이정윤
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.04a
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    • pp.191-196
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    • 2004
  • This study proposed the analysis of mass position detection and modified stiffness due to the change of the mass and stiffness of structure by using the original and modified dynamic characteristics. The method is applied to examples of a cantilever and 3 degree of freedom by modifying the mass. The predicted detection of mass positions and magnitudes are in good agrement with these from the structural reanalysis using the modified mass.

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H_ Fault Detection Observer Design for Large Scale Time-Invariant Systems (대규모 선형시불변 시스템을 위한 H_ 고장검출 관측기 설계)

  • Lee, Ho-Jae;Kim, Do-Wan
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.8
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    • pp.818-822
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    • 2009
  • In this paper, we consider a decentralized observer design problem for fault detection in large-scaled linear time-invariant systems. Since the fault detection residual is desired to be sensitive on the fault, we use the H_ index performance criterion. Sufficient conditions for the existence of such an observer is presented in terms of linear matrix inequalities. Simulation results show the effectiveness of the proposed method.