• 제목/요약/키워드: Equivalent transformation

검색결과 188건 처리시간 0.029초

Response transformation factors for deterministic-based and reliability-based seismic design

  • Bojorquez, Eden;Bojorquez, Juan;Ruiz, Sonia E.;Reyes-Salazar, Alfredo;Velazquez-Dimas, Juan
    • Structural Engineering and Mechanics
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    • 제46권6호
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    • pp.755-773
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    • 2013
  • One of the main requirements of the seismic design codes must be its easy application by structural engineers. The use of practically-applicable models or simplified models as single-degree-of-freedom (SDOF) systems is a good alternative to achieve this condition. In this study, deterministic and probabilistic response transformation factors are obtained to evaluate the response in terms of maximum ductility and maximum interstory drifts of multi-degree-of-freedom (MDOF) systems based on the response of equivalent SDOF systems. For this aim, five steel frames designed with the Mexican City Building Code (MCBC) as well as their corresponding equivalent SDOF systems (which represent the characteristics of the frames) are analyzed. Both structural systems are subjected to ground motions records. For the MDOF and the simplified systems, incremental dynamic analyses IDAs are developed in first place, then, structural demand hazard curves are obtained. The ratio between the IDAs curves corresponding to the MDOF systems and the curves corresponding to the simplified models are used to obtain deterministic response transformation factors. On the other hand, demand hazard curves are used to calculate probabilistic response transformation factors. It was found that both approaches give place to similar results.

사석잠제와 Stokes 3차파와의 비선형간섭에 관한 연구 (Nonlinear Interaction between the Permeable Submerged Breakwater and Third Order Stokes Waves)

  • 정연태
    • 한국수자원학회논문집
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    • 제31권3호
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    • pp.223-234
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    • 1998
  • 파랑제어 및 표사제어라고 하는 해안·항만구조물의 원래의 기능 이외에 해양·해안환경의 유지·개선의 기능까지도 갖춘 투과성잠제에 의한 비선형파랑변형을 해석하였다. 해석법으로서 Stokes 3차파에 기초한 섭동전개법과 경계요소법을 병용하는 주파수영역해석법을 처음으로 투과성잠제의 파랑변형에 적용하였다. 투과층내의 유체운동의 저항에는 Dupuit-Forchheimer의 저항식을 적용하며, Lorentz의 등가일원리에 기초하여 얻어지는 등가선형마찰계수의 산정식을 공간적분만의 형태로 나타내었다. 본 이론의 검증을 위하여 수리모형실험을 실시하였으며, 얻어진 수리모형실험결과는 수치해석결과와 잘 일치하므로 그의 타당성이 검증되었고, 본 해석결과가 Stokes 2차파에 기초한 결과보다도 더 정확성을 가진다는 것을 확인할 수 있었다.

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Natural vibration analysis of diagonal networks

  • Chai, W.S.;Li, Y.;Chan, H.C.
    • Structural Engineering and Mechanics
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    • 제6권5호
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    • pp.517-527
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    • 1998
  • This paper describes an exact method of analysis for natural vibration of diagonal networks by considering an equivalent cyclic periodic structure and adopting the double U-transformation technique. Both a lumped mass system and a distributed mass system are considered to investigate the diagonal networks. The exact solution for the frequency equations and the natural modes of the networks can be derived. As numerical examples, square diagonal cable networks with different meshes are worked out.

Mean ergodic theorem and multiplicative cocycles

  • Choe, Geon H.
    • 대한수학회보
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    • 제33권1호
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    • pp.57-64
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    • 1996
  • Let $(X, B, \mu)$ be a probability space. Then we say $\tau : X \to X$ is a measure-preserving transformation if $\mu(\tau^{-1} E) = \mu(E)$. and we call it an ergodic transformation if $\mu(\tau^{-1}E\DeltaE) = 0$ for a measurable subset E implies $\mu(E) = 0$. An equivalent definition is that constant functions are the only $\tau$-invariant functions.

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GENERALIZED REIDEMEISTER NUMBER ON A TRANSFORMATION GROUP

  • Park, Ki Sung
    • Korean Journal of Mathematics
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    • 제5권1호
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    • pp.49-54
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    • 1997
  • In this paper we study the generalized Reidemeister number $R({\varphi},{\psi})$ for a self-map $({\varphi},{\psi}):(X,G){\rightarrow}(X,G)$ of a transformation group (X, G), as an extension of the Reidemeister number $R(f)$ for a self-map $f:X{\rightarrow}X$ of a topological space X.

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Analysis of 3-phase Induction Motor considering Current Regulator using DQ Transformation with Matrix Vector

  • Hong, Sun-Ki;Na, Yoo-Chung
    • Journal of international Conference on Electrical Machines and Systems
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    • 제3권2호
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    • pp.116-120
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    • 2014
  • 3-phase Induction machines are being used in industry and dq transformation from 3 phase of a, b, c is commonly used to analyze these machines. The equivalent circuits of d and q axis are however generally cross coupled and not simple to analyze. In this study, an analysis method of 3ph induction motor considering current regulator using dq transformation and matrix vector is proposed and it can explain the 3ph induction motor physically. This model does not need the separating process of d and q components. With this technique, the model becomes simple, is easy to understand in physical, and can get the same results with those from the other dq models. These simulation results of the proposed model are compared with those of other models for the conformation of the proposed method.

복소 벡터와 dq 변환을 이용한 교류기 모델링에 관한 연구 (A Study on AC Machine Modeling using Complex Vector and dq Transformation)

  • 홍선기;박진호
    • 전기학회논문지
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    • 제61권11호
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    • pp.1601-1605
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    • 2012
  • Three-phase voltage and current is applied to the three-phase alternating current motors which are commonly used in industry. Three phase variables of a, b, c are converted into d, q, 0 axis and the AC machines are modeled and analyzed. Basically the coordinate transformation or d-q transformation is used for convenience, a few steps are needed to analyze the motor performances - separating d and q components, establishing each equivalent circuit, and solving the differential equations of the circuits. In this study, a modeling technique of induction motor using complex vector is proposed and it can explain the induction motor physically. This method does not need the separating process of d and q components. With this technique, the model becomes simple, is easy to understand in physical, and can get the same results with those from the other models. These simulation results of the proposed model are compared with them for the conformation of the proposed method.

A Study on Transformation of Dynamic DSC Results into Isothermal Data for the Formation Kinetics of a PU Elastomer

  • Ahn, WonSool
    • Elastomers and Composites
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    • 제53권2호
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    • pp.52-56
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    • 2018
  • The present study examines the transformation of dynamic DSC data into the equivalent isothermal data for the formation kinetics of a polyurethane elastomer. The reaction of 2'-dichloro-4,4'-methylenedianiline (MOCA) with a PTMG/TDI-based isocyanate prepolymer was evaluated. DSC measurement was performed in the dynamic scanning mode with several different heating rates to obtain the reaction thermograms. Then, the data was transformed into the isothermal data through a procedure based on Ozawa analysis. The main feature of this procedure was the transformation of $({\alpha}-T)_{\beta}$ curves from dynamic DSC into $({\alpha}-t)_T$ curves using the isoconversional $(t-T)_{\alpha}$ diagram. Validity was discussed for the relationship between the dynamic DSC data and the transformed isothermal results.

Lyapunov 변환을 이용한 SDINS 등가 오차모델 (SDINS Equivalent Error Models Using the Lyapunov Transformation)

  • 유명종;이장규;박찬국
    • 제어로봇시스템학회논문지
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    • 제8권2호
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    • pp.167-177
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    • 2002
  • In Strapdown Inertial Navigation System(SDINS), error models based on previously proposed conversion equations between the attitude errors, are only valid in case the attitude errors are small. The SDINS error models have been independently studied according to the definition of the reference frame and of the attitude error. The conversion equations between the attitude errors applicable to SDINS with large attitude errors are newly derived. Lyapunov transformation matrices are also derived from the obtained results. Furthermore the general method, which is independent of the attitude error and the reference frame to derive SDINS error model, is proposed using the Lyapunov transformation.