• Title/Summary/Keyword: direct differentiation method

Search Result 89, Processing Time 0.026 seconds

An Overview of Optimization of Structures Subjected to Transient Loads (동하중을 받는 구조물의 최적화에 관한 연구동향)

  • Park Gyung-Jin;Kang Byung-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.29 no.3 s.234
    • /
    • pp.369-386
    • /
    • 2005
  • Various aspects of structural optimization techniques under transient loads are extensively reviewed. The main themes of the paper are treatment of time dependent constraints, calculation of design sensitivity, and approximation. Each subject is reviewed with the corresponding papers that have been published since 1970s. The treatment of time dependent constraints in both the direct method and the transformation method is discussed. Two ways of calculating design sensitivity of a structure under transient loads are discussed - direct differentiation method and adjoint variable method. The approximation concept mainly focuses on re- sponse surface method in crashworthiness and local approximation with the intermediate variable Especially, as an approximated optimization technique, Equivalent Static Load method which takes advantage of the well-established static response optimization technique is introduced. And as an application area of dynamic response optimization technique, the structural optimization in flexible multibody dynamic systems is re- viewed in the viewpoint of the above three themes

Back Analysis Method for Material Properties of Multi-layers Ground Considering Multiple Unknown Variables (다중 미지변수를 고려한 다층지반 역해석)

  • Kim, Se-Jin;Kim, Moon-Kyum;Won, Jong-Hwa;Kim, Jung-Soo
    • Journal of the Korean Geotechnical Society
    • /
    • v.25 no.9
    • /
    • pp.93-100
    • /
    • 2009
  • A core procedure of the direct search method used in this study is optimizing a difference between objective function and real displacement and correcting unknown variables. Because the research procedure comes from back-analyzing of the unknown variable of each layer, back-analyzing results need an additional optimization to minimize interferential effects of unknown variables. Therefore, the direct search method Is used to obtain optimized solutions without a partial differentiation of an objective function. The object of this research is developing the back analysis technique for multi-unknown variables by modeling the soil including underground structure Into upper and lower layer. In order to minimize interferent errors, repeated back analysis is performed and applicability on the real tunnel is examined. Consequently, the multi-layer analysis model is more precise in describing the real behavior of underground structure. It shows the validity of back analysis far multi-layer model which is the understructure placed on multi-layer boundaries.

Sensitivity Analysis using FRF-based Substructuring Method (전달함수합성법을 이용한 민감도 해석)

  • Lee, Doo-Ho;Hwang, Woo-Seok;Kim, Chan-Mook
    • Proceedings of the KSME Conference
    • /
    • 2000.11a
    • /
    • pp.602-606
    • /
    • 2000
  • A general procedure for the design sensitivity analysis of structural dynamic problems has been presented in frame of the FRF-based substructuring formulation. In the procedure, the direct differentiation method is used for the sensitivity formula. For a system response function, the proposed method gives a parametric design sensitivity formula in terms of the partial derivatives of the connection element properties and the transfer matrix of the subsystems. The derived design sensitivity formula is applied to a numerical example. The comparison of sensitivities derived by the proposed method and the finite difference method shows that the proposed method is efficient and accurate.

  • PDF

Optimum Design of the Cylindrical Shell under External Pressuer Loading (수압을 받는 원통형 쉘의 최적설계)

  • 임오강;이병우;전완수;정현기
    • Computational Structural Engineering
    • /
    • v.8 no.1
    • /
    • pp.85-94
    • /
    • 1995
  • The optimum design of the cylindrical shell under external pressure loading is considered. The design variable is a skin thickness of the unstiffened parallel middle body shell. Overall buckling strength and direct stress and displacements constraints are considered in the design problem The optimum design is achieved with one of the standard nonlinear constrained optimization technique. A method for calculating the sensitivity coefficients is developed using the direct differentiation.

  • PDF

A Second-Order Design Sensitivity-Assisted Monte Carlo Simulation Method for Reliability Evaluation of the Electromagnetic Devices

  • Ren, Ziyan;Koh, Chang-Seop
    • Journal of Electrical Engineering and Technology
    • /
    • v.8 no.4
    • /
    • pp.780-786
    • /
    • 2013
  • In the reliability-based design optimization of electromagnetic devices, the accurate and efficient reliability assessment method is very essential. The first-order sensitivity-assisted Monte Carlo Simulation is proposed in the former research. In order to improve its accuracy for wide application, in this paper, the second-order sensitivity analysis is presented by using the hybrid direct differentiation-adjoint variable method incorporated with the finite element method. By combining the second-order sensitivity with the Monte Carlo Simulation method, the second-order sensitivity-assisted Monte Carlo Simulation algorithm is proposed to implement reliability calculation. Through application to one superconductor magnetic energy storage system, its accuracy is validated by comparing calculation results with other methods.

A Study on the Relationship between the Management Strategies, Innovation Activities, and Business Performance of a Company (기업의 경영전략 및 혁신활동과 경영성과와의 관계성 연구)

  • Shim, Taeyong;Lee, Daegyu
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.20 no.9
    • /
    • pp.156-166
    • /
    • 2019
  • For this study, a survey was conducted with the employees of small and medium-size enterprises (SMEs) located in Seoul and in Gyeonggi province. In the end, a total of 328 valid questionnaires were received and used in the analysis. The data of this study were analyzed using two statistics programs: SPSS Statistics 22.0 and AMOS 22.0. As for the method to verify the hypothesis, we used a structural equation model. The key findings of this study are as follows. First, the results of correlation analysis between management strategy factors, innovation activities, and business performance showed that the factors that were at a higher level of correlation were the technology differentiation strategies, marketing differentiation strategies, and the cost-driven strategy. Second, the strategic management factors that influenced innovation activities were in the following order: marketing differentiation, technology differentiation, and the cost-driven strategy, while the valid factors that affected business performance with significance were only the marketing differentiation strategy and the cost-driven strategy. Third, while the analysis showed that the technology differentiation strategy did not have a direct effect on business performance, it was shown that the relationship between the technology differentiation strategy and business performance was completely mediated by innovation activities.

Application of the first-order perturbation method to optimal structural design

  • Lee, Byung Woo;Lim, O Kaung
    • Structural Engineering and Mechanics
    • /
    • v.4 no.4
    • /
    • pp.425-436
    • /
    • 1996
  • An application of the perturbation method to optimum structural design with random parameters is presented. It is formulated on the basis of the first-order stochastic finite element perturbation method. It also takes into full account the stress, displacement and eigenvalue constraints, together with the rates of change of the random variables. A method for calculating the sensitivity coefficients in regard to the governing equation and the first-order perturbed equation has been derived, by using a direct differentiation approach. A gradient-based nonlinear programming technique is used to solve the problem. The numerical results are specifically noted, where the stiffness parameter and external load are treated as random variables.

Structural Optimization Using Stochastic Finite Element Second-Order Perturbation Method (확률 유한요소 이차섭동법을 사용한 구조물 최적설계)

  • 임오강;이병우
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.19 no.8
    • /
    • pp.1822-1831
    • /
    • 1995
  • A general formulation of the design optimization problem with the random parameters is presented here. The formulation is based on the stochastic finite element second-order perturbation method ; it takes into full account of the stress and displacement constraints together with the rates of change of the random variables. A method of direct differentiation for calculating the sensitivity coefficients in regard to the governing equation and the second-order perturbed equation is derived. A gradient-based nonlinear programming technique is used to solve the problem. The numerical results are specifically noted, where the stiffness parameter and external load are treated as random variables.

Ribose-induced Maillard Reaction as an Analytical Method for Detection of Adulteration and Differentiation of Chilled and Frozen-thawed Minced Veal

  • Akbarabadi, Masoumeh;Mohsenzadeh, Mohammad;Housaindokht, Mohammad-Reza
    • Food Science of Animal Resources
    • /
    • v.40 no.3
    • /
    • pp.350-361
    • /
    • 2020
  • Quality control of meat products is one of the main concerns of consumers, governmental control authorities, and retailers. The purpose of this study was to employ ribose-induced Maillard reaction in detection of meat adulteration and differentiation of fresh-chilled from frozen-thawed minced veal. The browning intensity was assessed through measuring the absorbance at 420 nm with a spectrophotometer as well as the direct analysis of the color and pH. The results showed that CIE b*, CIE a*, and A420* values in the extract of fresh-chilled veal were significantly (p<0.05) higher than frozen-thawed samples. The extract of frozen meat samples stored at -18℃ became significantly darker and more yellowish compared to -4℃. The results showed that the A420* value in the frozen-thawed veal stored at -4℃ and -18℃ was reduced by approximately 17.22±3.53% and 11.68±2.49%, respectively, compared with fresh-chilled veal. The findings also showed that the storage temperature of minced veal and the heating time in this reaction had a significant effect on all tested variables (p<0.0001). The proposed method can be considered as an easy, quick, and inexpensive test for differentiating between the fresh-chilled and frozen-thawed minced veal.

Design Sensitivity Analysis of Elasto-perfectly-plastic Structure for Stiffened Shell Structure (탄성-완전-소성 보강쉘 구조물의 설계민감도해석)

  • Jung, Jae-Joon;Lee, Tae-Hee;Lim, Jang-Keun
    • Proceedings of the KSME Conference
    • /
    • 2001.11a
    • /
    • pp.746-752
    • /
    • 2001
  • Design sensitivity analysis for nonlinear structural problems has been emerged in the last decade as a glowing area of engineering research. As a result, theoretical formulations and computational algorithms have already developed for design sensitivity of nonlinear structural problems. There is not enough research for practical nonlinear problems using multi-element, due to difficulties of implementation into FEA. Therefore, nonlinear response analysis for stiffened shell which consists of Mindlin plate and Timoshenko beam, was considered. Specially, it presents the backward-Euler method which is adopted to describe an exact yield state in the stress computation procedure. Then, design sensitivity analysis of nonlinear structures, particularly elasto-perfectly-plastic structure, is developed using direct differentiation method. The accuracy of the developed sensitivity analysis was compared with the central finite difference method. Finally, on the basis of above results, design improvement for stiffened shell is suggested.

  • PDF