• 제목/요약/키워드: limit function

검색결과 1,144건 처리시간 0.022초

중저진 지역에서의 지진격리교량의 경제적 효율성에 관한 연구 (Cost Effectiveness of Bse-Isolation for Bridges in Low and Moderate Seismic Region)

  • 고현무
    • 한국지진공학회:학술대회논문집
    • /
    • 한국지진공학회 1999년도 춘계 학술발표회 논문집 Proceedings of EESK Conference-Spring
    • /
    • pp.178-185
    • /
    • 1999
  • Minimum life-cycle cost helps to evaluate cost effectiveness of base-isolated bridges under specific condition. Life-cycle cost mainly consists of the initial construction cost and the expected damage cost. Damage cost estimation needs proper model of input ground motion failure probability evaluation method and limit states definition. We model the input ground motion as spectral density function compatible with the response spectra defined at each seismicity and site condition. Spectrum analysis and crossing theory is suitable for reseating calculation of failure probabilities in the process of cost minimization. Limit states of base-isolated bridges re defined for superstructure isolator and pier respectively The method is applied to both base-isolated bridges and conventional bridges under the same conditions to investigate cost effectiveness of base isolation in low and moderate seismic region. the results show that base-isolation of bridges are more effective in low and moderate seismic region and that the site effects on the economical efficiency may not be negligible in such a region.

  • PDF

도파관 내의 음파산란 해석에 있어서 Helmhortz 방정식의 정적 한계에 관한 연구 (On the static limit of Helmhortz equation for the acoustic wave scattering in a waveguide)

  • 정현교;최경
    • 산업기술연구
    • /
    • 제9권
    • /
    • pp.79-85
    • /
    • 1989
  • In this paper, the static limit of Helmhortz equation is discussed in the analysis of acoustic wave scattering in a waveguide. Boundary integral equation method is used to formulate the scattering process in the exerior of the scatterer and finite element method in the interior of the scatterer. And hybrid Ray-Mode Method is used the provide the Green's function of the waveguide. The proposed algorithm is applied to a sample poblem with arbitrary scatterer in a waveguide. The results are compared with those of Laplace's equation which is the governing equation in the static problems.

  • PDF

Reliability analysis of steel cable-stayed bridges including soil-pile interaction

  • Cheng, Jin;Liu, Xiao-luan
    • Steel and Composite Structures
    • /
    • 제13권2호
    • /
    • pp.109-122
    • /
    • 2012
  • An efficient and accurate algorithm is proposed to evaluate the reliability of cable-stayed bridges accounting for soil-pile interaction. The proposed algorithm integrates the finite-element method and the response surface method. The finite-element method is used to model the cable-stayed bridge including soil-pile interaction. The reliability index is evaluated based on the response surface method. Uncertainties in the superstructure, the substructure and load parameters are incorporated in the proposed algorithm. A long span steel cable-stayed bridge with a main span length of 1088 m built in China is considered as an illustrative example. The reliability of the bridge is evaluated for the strength and serviceability performance functions. Results of the study show that when strength limit states for both girder and tower are considered, soil-pile interaction has significant effects on the reliability of steel cable-stayed bridges. Further, a detailed sensitivity study shows that the modulus of subgrade reaction is the most important soil-pile interaction-related parameter influencing the reliability of steel cable-stayed bridges.

콘크리트 구조물의 반복적 동결융해에 의한 확률론적 열화예측모델 (Probabilistic Prediction Model for the Cyclic Freeze-Thaw Deteriorations in Concrete Structures)

  • 조태준
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2006년도 추계 학술발표회 논문집
    • /
    • pp.957-960
    • /
    • 2006
  • In order to predict the accumulated damages by cyclic freeze-thaw, a regression analysis by the Response Surface Method (RSM) is used. RSM has merits when the other probabilistic simulation techniques can not guarantee the convergence of probability of occurrence or when the others can not differentiate the derivative terms of limit state functions, which are composed of random design variables in the model of complex system or the system having higher reliability. For composing limit state function, the important parameters for cyclic freeze-thaw-deterioration of concrete structures, such as water to cement ratio, entrained air pores, and the number of cycles of freezing and thawing, are used as input parameters of RSM. The predicted results of relative dynamic modulus and residual strains after 300 cycles of freeze-thaw for specimens show very good agreements with the experimental results. The RSM result can be used to predict the probability of occurrence for designer specified critical values. Therefore, it is possible to evaluate the life cycle management of concrete structures considering the accumulated damages by the cyclic freeze-thaw by the use of proposed prediction method.

  • PDF

공진 효과 및 쿨롱 마찰이 있는 서보 시스템에 대한 $\mu$-제어기 설계 ($\mu$-Controller Design for Servo Systems Containing Resonance Effects and Coulomb Frictions)

  • 황인휘;임동진
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1996년도 추계학술대회 논문집 학회본부
    • /
    • pp.46-48
    • /
    • 1996
  • In almost all the servo systems, especially for the robot manipulators and numerical control systems, there are resonance effects and nonlinear frictions which should be considered in designing servo controllers. In this paper to compensate friction and track the step-input without steady-state error, the original system is augmented with an integrator and employes $\mu$-Controller design method $\mu$-Controller design method enables to meet not only performance requirements but robust stabilities simultaneously. And there may exist a limit cycles due to interaction between integrator and nonlinear friction. With describing function method, the possibility of limit cycle is checked.

  • PDF

THE SPACE OF FOURIER HYPERFUNCTIONS AS AN INDUCTIVE LIMIT OF HILBERT SPACES

  • Kim, Kwang-Whoi
    • 대한수학회논문집
    • /
    • 제19권4호
    • /
    • pp.661-681
    • /
    • 2004
  • We research properties of the space of measurable functions square integrable with weight exp$2\nu $\mid$x$\mid$$, and those of the space of Fourier hyperfunctions. Also we show that the several embedding theorems hold true, and that the Fourier-Lapace operator is an isomorphism of the space of strongly decreasing Fourier hyperfunctions onto the space of analytic functions extended to any strip in $C^n$ which are estimated with the aid of a special exponential function exp($\mu$|x|).

자동차 새시용 DP60강 인버터 DC 저항 점용접의 용접성 평가 (Evaluation of Weldability on the Resistance Spot Welding of DP60 Steels for Automotive Chassis)

  • 김인주;오익현
    • 한국기계기술학회지
    • /
    • 제13권4호
    • /
    • pp.143-148
    • /
    • 2011
  • This study analyzes the resistance spot weldability of DP60 steels. To analyze the resistance spot weldability of DP60 steels, tensile strength test and macro-section test were conducted for the resistance spot welds. Acceptable welding conditions were determined as a function of the resistance spot welding process parameters such as electrode force, welding time, and welding current. The lower limit of the welding lobe was the minimum shear tension strength for 590MPa-grade steel while the upper limit was determined whether or not expulsion was detected.

Stability analysis of homogeneous slopes with benches

  • Zhao, Lianheng;Xia, Peng;Xie, Rongfu;Li, Liang;Zhang, Yingbin;Cheng, Xiao
    • Geomechanics and Engineering
    • /
    • 제13권3호
    • /
    • pp.517-533
    • /
    • 2017
  • In this paper, with a graphical approach, a series of stability charts for homogeneous slopes with benches are presented based on the upper bound limit analysis theory and strength reduction technique. The objective function of the slope safety factor $F_s$ is optimized by the nonlinear sequential quadratic programming, and a substantial number of examples are illustrated to use the stability charts for homogeneous slopes with benches driven by only the action of the soil weight. These charts can be applied to quick and accurate estimations of the stability status of homogeneous slopes with benches. Moreover, the failure modes and the formula for safety factor Fs of homogeneous slopes with benches are provided to illustrate the stability analysis of slopes with benches, which is validated by samples.

Droplet size prediction model based on the upper limit log-normal distribution function in venturi scrubber

  • Lee, Sang Won;No, Hee Cheon
    • Nuclear Engineering and Technology
    • /
    • 제51권5호
    • /
    • pp.1261-1271
    • /
    • 2019
  • Droplet size and distribution are important parameters determining venturi scrubber performance. In this paper, we proposed physical models for a maximum stable droplet size prediction and upper limit log-normal (ULLN) distribution parameters. For the proposed maximum stable droplet size prediction model, a Eulerian-Lagrangian framework and a Reitz-Diwakar breakup model are solved simultaneously using CFD calculations to reflect the effect of multistage breakup and droplet acceleration. Then, two ULLN distribution parameters are suggested through best fitting the previously published experimental data. Results show that the proposed approach provides better predictions of maximum stable droplet diameter and Sauter mean diameter compared to existing simple empirical correlations including Boll, Nukiyama and Tanasawa. For more practical purpose, we developed the simple, one dimensional (1-D) calculation of Sauter mean diameter.

LIMIT CYCLES FOR A CLASS OF FIFTH-ORDER DIFFERENTIAL EQUATIONS

  • ACHREF EDDINE TABET;AMAR MAKHLOUF
    • Journal of applied mathematics & informatics
    • /
    • 제42권1호
    • /
    • pp.139-148
    • /
    • 2024
  • The purpose of this research is to investigate sufficient conditions for the existence of limit cycles of the fifth-order differential equation x(5) + (p2 + q2)$_{x}^{...}$ + p2q2$_{x}^{.}$ = εF(t, x, $_{x}^{.}$, $_{x}^{..}$, $_{x}^{...}$, $_{x}^{....}$), where p, q are rational numbers different from 0, p ≠ ±q, ε is a small real parameter, and F is a 2kπ-periodic function in the variable t. Also, we provide some applications.