• Title/Summary/Keyword: Rational method

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Particle filter for model updating and reliability estimation of existing structures

  • Yoshida, Ikumasa;Akiyama, Mitsuyoshi
    • Smart Structures and Systems
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    • v.11 no.1
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    • pp.103-122
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    • 2013
  • It is essential to update the model with reflecting observation or inspection data for reliability estimation of existing structures. Authors proposed updated reliability analysis by using Particle Filter. We discuss how to apply the proposed method through numerical examples on reinforced concrete structures after verification of the method with hypothetical linear Gaussian problem. Reinforced concrete structures in a marine environment deteriorate with time due to chloride-induced corrosion of reinforcing bars. In the case of existing structures, it is essential to monitor the current condition such as chloride-induced corrosion and to reflect it to rational maintenance with consideration of the uncertainty. In this context, updated reliability estimation of a structure provides useful information for the rational decision. Accuracy estimation is also one of the important issues when Monte Carlo approach such as Particle Filter is adopted. Especially Particle Filter approach has a problem known as degeneracy. Effective sample size is introduced to predict the covariance of variance of limit state exceeding probabilities calculated by Particle Filter. Its validity is shown by the numerical experiments.

Identification of 18 flutter derivatives by covariance driven stochastic subspace method

  • Mishra, Shambhu Sharan;Kumar, Krishen;Krishna, Prem
    • Wind and Structures
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    • v.9 no.2
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    • pp.159-178
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    • 2006
  • For the slender and flexible cable supported bridges, identification of all the flutter derivatives for the vertical, lateral and torsional motions is essential for its stability investigation. In all, eighteen flutter derivatives may have to be considered, the identification of which using a three degree-of-freedom elastic suspension system has been a challenging task. In this paper, a system identification technique, known as covariance-driven stochastic subspace identification (COV-SSI) technique, has been utilized to extract the flutter derivatives for a typical bridge deck. This method identifies the stochastic state-space model from the covariances of the output-only (stochastic) data. All the eighteen flutter derivatives have been simultaneously extracted from the output response data obtained from wind tunnel test on a 3-DOF elastically suspended bridge deck section-model. Simplicity in model suspension and measurements of only output responses are additional motivating factors for adopting COV-SSI technique. The identified discrete values of flutter derivatives have been approximated by rational functions.

Curve-fitting in complex plane by a stable rational function (복소수 평면에서 안정한 유리함수에 의한 curve-fitting)

  • 최종호;황진권
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.119-122
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    • 1986
  • An algorithm is proposed to find a stable rational function, which is frequently used in the linear system theory, by curve-fitting a given data. This problem is essentially a nonolinear optimization problem. In order to converge faster to the solution, the following method is used. First, the coefficients of the denominator polynomial are fixed and only the coefficients of the numerator polynomial are adjusted by its linear relationships. Then the coefficients of the numerator are fixed and the coefficients of the denominator polynomial are adjusted by nonlinear programming. This whole process is repeated until a convergent solution is found. The solution obtained by this method converges better than by other algorithms and its versatility is demonstrated by applying it to the design of a feedback control system and a low pass filter.

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Determination of Span Length Ratio in Bridges Constructed using a Free Cantilever Method (FCM 교량의 경간비(SLR) 결정)

  • 곽효경;손제국
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.259-266
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    • 2003
  • This paper introduces a relation to determine the span ratio between exterior and interior spans, which is strongly required in the preliminary design stage of bridges constructed by Free Cantilever Method (FCM). A relation for the initial tendon force is derived on the basis of an assumption that no vertical deflection occurs at the far end of a cantilever beam due to the balanced condition between the self-weight and the cantilever tendons. In advance, the span ratio can be determined by using an assumption that the negative maximum moment must be the same with the positive maximum moment along the entire spans to be a rational bridge design. Finally, many rigorous lime-dependent analyses are conducted to establish the validity of the introduced relations. The obtained numerical results show that the rational design of FCM bridges may be achieved when the span length ratio of the exterior span to the interior span ranges about 0.75 to 0.8.

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Inducing Irrational Numbers in Junior High School (중학교에서의 무리수 지도에 관하여)

  • Kim, Boo-Yoon;Chung, Young-Woo
    • Journal for History of Mathematics
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    • v.21 no.1
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    • pp.139-156
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    • 2008
  • We investigate the inducing method of irrational numbers in junior high school, under algebraic as well as geometric point of view. Also we study the treatment of irrational numbers in the 7th national curriculum. In fact, we discover that i) incommensurability as essential factor of concept of irrational numbers is not treated, and ii) the concept of irrational numbers is not smoothly interconnected to that of rational numbers. In order to understand relationally the incommensurability, we suggest the method for inducing irrational numbers using construction in junior high school.

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Direct identification of aeroelastic force coefficients using forced vibration method

  • Herry, Irpanni;Hiroshi, Katsuchi;Hitoshi, Yamada
    • Wind and Structures
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    • v.35 no.5
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    • pp.323-336
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    • 2022
  • This study investigates the applicability of the direct identification of flutter derivatives in the time domain using Rational Function Approximation (RFA), where the extraction procedure requires either a combination of at least two wind speeds or one wind speed. In the frequency domain, flutter derivatives are identified at every wind speed. The ease of identifying flutter derivatives in the time domain creates a paradox because flutter derivative patterns sometimes change in higher-order polynomials. The first step involves a numerical study of RFA extractions for different deck shapes from existing bridges to verify the accurate wind speed combination for the extraction. The second step involves validating numerical simulation results through a wind tunnel experiment using the forced vibration method in one degree of freedom. The findings of the RFA extraction are compared to those obtained using the analytical solution. The numerical study and the wind tunnel experiment results are in good agreement. The results show that the evolution pattern of flutter derivatives determines the accuracy of the direct identification of RFA.

Land Suitability Classification for Rational Land Use Planning in County(Gun) Area( I ) - Methodological Considemtion of Land Suitability Classification - (군단위지역 토지이용계획의 합리적 책정을 위한 토지적성구분( I ) - 토지적성구분의 방법론적 고찰 -)

  • Hwang, Han-Cheol;Choe, Su-Myeong;Han, Gyeong-Su
    • Journal of Korean Society of Rural Planning
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    • v.1 no.1
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    • pp.65-74
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    • 1995
  • As a initial methodological approach to rational land use planning in the county-level area, three types of land suitability classification techniques were examined from the viewpoint of their practical applicability through the case study of Seungju-gun area, Chonnam-province, Korea : major factors' criteria(method I ), principal component analysis( I ), and local monitoring( R( ). Each method has its strong and weak points as shown in Tab.-5. Therefore, when its practical application, there seem to be wide-range methodological selectivities from exclusive use of the best one to intermethodological combination of related ones In the beginning stage, intermethodological combination of all three types were tried to formulate the best solution possible. However, because of reliability problem of method R accrued from non- uniformity of evaluators'quality, only two methods( 1 , E ) were combined into a new evaluation method The applied results of the new combined method to case study area are shown in Fig.-2, 3 and 4.

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A Study on the Improvement of Standards of Traffic Information Service and Provide Services Based on the Detailed Traffic Information (교통정보서비스 표출기준 개선 및 상세교통정보 기반 서비스 제공방안 연구)

  • Bae, Kwangsoo;Lee, Seungcheol
    • Journal of Information Technology Services
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    • v.17 no.4
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    • pp.85-100
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    • 2018
  • In this study, we formulated rational criteria to efficiently provide traffic information services via a crafted approach. By utilizing this, we presented a detailed traffic information service providing method that can overcome the limitations of existing link unit information provision system. Three methodologies such as user survey, data mining, and KHCM (Korea Highway Capacity Manual) utilization method were applied to formulate a rational expression standard for traffic information service. Each method was designed to establish a quantitative criterion for various traffic conditions and to enable user-oriented traffic information service in consideration of the traffic principal/compatibility. Considering the results of each methodological analysis in a comprehensive manner, the basic expression standards for traffic information service was formulated. Then we presented improvements such as traffic condition step by road, speed range of traffic condition, expression term of traffic condition and so on. In order to complement the problems of the information provision system of the existing link unit based on the derived improvement criterion, we presented the detailed traffic information service provision method by using the traffic speed data of the second order. And we applied this to the two links of Daegu city. The method presented in this research can improve the quality of traffic information service. Not only it can be used for various fields such as optimal route search, traffic safety service and so on.

Estimation of Design Wind Speed for Building Using Spatial Information Analysis (공간정보 분석을 통한 건축물의 설계풍속 산정)

  • Lee, Seong-Yun;Jo, Hyun-Jae;Lee, Hyun-Ki;Choi, Se-Hyu
    • Spatial Information Research
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    • v.23 no.3
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    • pp.79-89
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    • 2015
  • Once the building is higher than certain size, the wind effect plays very important role in structure design. Moreover, this is more important in Korea because dangerous phenomena like typhoons are common. Rational wind resistant design is being magnified considering the global flow and climate changes. This research presented the estimation method of design wind load using spatial information analysis based on 1:5,000 digital map and performed comparative analysis with actual application cases. The wind velocity pressure exposure coefficient and topographic coefficient turned out to be more quantitative and rational when calculated through the proposed method. The time and cost are comparatively low when compared with traditional method which contribute to the economic and rational wind resistant design.

Perceptions of Contraception and Patterns of Switching Contraceptive Methods Among Family-planning Acceptors in West Nusa Tenggara, Indonesia

  • Amran, Yuli;Nasir, Narila Mutia;Dachlia, Dini;Yelda, Fitra;Utomo, Budi;Ariawan, Iwan;Damayanti, Rita
    • Journal of Preventive Medicine and Public Health
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    • v.52 no.4
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    • pp.258-264
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    • 2019
  • Objectives: The perceptions of family-planning (FP) acceptors regarding contraception influence the reasons for which they choose to switch their method of contraception. The objective of this study was to analyze the perceptions of contraception and rationales for switching contraceptive methods among female FP acceptors in West Nusa Tenggara, Indonesia. Methods: This study involved the analysis of secondary data from the Improve Contraceptive Method Mix study, which was conducted in 2013 by the Center for Health Research, University of Indonesia. The design of the study was cross-sectional. We performed 3 stages of sampling using the cluster technique and selected 4819 women who were FP acceptors in West Nusa Tenggara Province, Indonesia as the subjects of this study. The data were analyzed using multiple logistic regression. Results: The predominant pattern of switching contraceptive methods was switching from one non-long-term method of contraception to another. Only 31.0% of the acceptors reported a rational pattern of switching contraceptive methods given their age, number of children, and FP motivations. Perceptions of the side effects of contraceptive methods, the ease of contraceptive use, and the cost of the contraceptives were significantly associated (at the level of ${\alpha}=0.05$) with rational patterns of switching contraceptive methods. Conclusions: Perceptions among FP-accepting women were found to play an important role in their patterns of switching contraceptive methods. Hence, fostering a better understanding of contraception through high-quality counseling is needed to improve perceptions and thereby to encourage rational, effective, and efficient contraceptive use.