• 제목/요약/키워드: Analytical function

검색결과 1,270건 처리시간 0.023초

Analytical model of isolated bridges considering soil-pile-structure interaction for moderate earthquakes

  • Mohammad Shamsi;Ehsan Moshtagh;Amir H. Vakili
    • Geomechanics and Engineering
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    • 제34권5호
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    • pp.529-545
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    • 2023
  • The coupled soil-pile-structure seismic response is recently in the spotlight of researchers because of its extensive applications in the different fields of engineering such as bridges, offshore platforms, wind turbines, and buildings. In this paper, a simple analytical model is developed to evaluate the dynamic performance of seismically isolated bridges considering triple interactions of soil, piles, and bridges simultaneously. Novel expressions are proposed to present the dynamic behavior of pile groups in inhomogeneous soils with various shear modulus along with depth. Both cohesive and cohesionless soil deposits can be simulated by this analytical model with a generalized function of varied shear modulus along the soil depth belonging to an inhomogeneous stratum. The methodology is discussed in detail and validated by rigorous dynamic solution of 3D continuum modeling, and time history analysis of centrifuge tests. The proposed analytical model accuracy is guaranteed by the acceptable agreement between the experimental/numerical and analytical results. A comparison of the proposed linear model results with nonlinear centrifuge tests showed that during moderate (frequent) earthquakes the relative differences in responses of the superstructure and the pile cap can be ignored. However, during strong excitations, the response calculated in the linear time history analysis is always lower than the real conditions with the nonlinear behavior of the soil-pile-bridge system. The current simple and efficient method provides the accuracy and the least computational costs in comparison to the full three-dimensional analyses.

대중교통 노선망 설계에 관한 해석적 연구의 모형 구조와 풀이 (Model Structure and its Solution of Analytical Research on Transit Network Design)

  • 박준식;권용석
    • 대한교통학회지
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    • 제25권6호
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    • pp.129-140
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    • 2007
  • 대중교통 운행계획 수립과정은 이론적인 연구의 특성에 따라 설계, 운영, 그리고 평가 단계로 구분할 수 있다. 운영단계와 평가단계에서 이루어지는 연구들에 대해서는 비교적 체계적으로 정리된 연구와 보고서들이 있으나 설계단계에 관한 연구들은 체계적으로 정리된 적이 없다. 본 연구에서는 대중교통 시스템설계에 관한 기존의 연구들을 검토하여 체계적으로 정리하였다. 또한 해당 연구들의 모형 구조를 자세히 분석하여 이의 풀이법을 정리하여 제시하였다. 설계단계에서 결정되는 결정변수로는 노선(망)의 구조, 노선간격 및 위치, 정류장 간격, 배차간격, 및 소요차량수 등이 있다. 노선설계에 관한 해석적 연구에서는 시스템의 총 비용이 목적함수로 많이 사용되고 이는 이용자의 접근비용, 대기비용, 그리고 통행비용으로 구성되는 이용자비용과 운영자의 운영비용으로 구성된다. 목적함수로 사용되는 대중교통 시스템의 총 비용은 노선간격, 배차간격 등의 결정변수들에 대해 미분가능하고 미분값을 0으로 만드는 값이 존재하며 2계 미분값이 양수이기 때문에 전역 최적해가 존재한다. 따라서 목적함수의 미분값을 0으로 만드는 결정변수가 목적함수를 최소로 만드는 최적치가 되며 이 최적치에서 각 부분 함수값들은 모두 동일해지게 된다. 본 연구는 대중교통 운행계획 중 설계단계의 해석적 연구에 대한 체계적인 이해를 도모할 것이며, 관련 연구를 활성화시키는데 큰 도움이 될 것으로 기대된다.

확률 분포 함수의 지수 곡선 접합을 이용한 RVE 적합성 평가 (Evaluation of RVE Suitability Based on Exponential Curve Fitting of a Probability Distribution Function)

  • 정상엽;윤태섭;한동석
    • 대한토목학회논문집
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    • 제30권5A호
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    • pp.425-431
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    • 2010
  • 2가지 이상의 재료로 구성된 다상(multi-phase) 재료는 상 분포에 따라 재료 특성이 다르기 때문에, 상 분포를 묘사할 수 있는 적절한 방법이 필요하다. 본 연구에서는 확률 분포 함수 two-point correlation function과 lineal-path function을 사용하여 재료 내부의 상 분포 상태를 확률적으로 묘사하였다. 수치 계산 방법으로 계산되는 확률 분포 함수를 3개의 매개 변수를 사용한 곡선 접합(curve fitting)을 이용하여 수식으로 표현하고, 적용성을 살펴보기 위하여 2상 합금 미세구조 가상 시편과 지반 모델 시편을 사용하였다. 이를 통해, 확률 분포 함수는 곡선 접합을 이용하여 지수 형태의 수식으로 표현이 가능하며, 이는 시편의 RVE로서의 활용 가능성을 판단하는데 사용될 수 있음을 확인하였다.

바퀴 슬립과 잠김 방지 제어를 고려한 차량의 종렬 브레이크 제어 (Vehicle Longitudinal Brake Control with Wheel Slip and Antilock Control)

  • 양홍;최용호;정길도
    • 제어로봇시스템학회논문지
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    • 제11권6호
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    • pp.502-509
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    • 2005
  • In this paper, a 4-wheel vehicle model including the effects of tire slip was considered, along with variable parameter sliding control, in order to improve the performance of the vehicle longitudinal response. The variable sliding parameter is made to be proportional to the square root of the pressure derivative at the wheel, in order to compensate for large pressure changes in the brake cylinder. A typical tire force-relative slip curve for dry road conditions was used to generate an analytical tire force-relative slip function, and an antilock sliding control process based on the analytical tire force-relative slip function was used. A retrofitted brake system, with the pushrod force as the end control parameter, was employed, and an average decay function was used to suppress the simulation oscillations. The simulation results indicate that the velocity and spacing errors were slightly larger than those obtained when the wheel slip effect was not considered, that the spacing errors of the lead and follower were insensitive to the adhesion coefficient up to the critical wheel slip value, and that the limit for the antilock control under non-constant adhesion road conditions was determined by the minimum value of the equivalent adhesion coefficient.

3상 정류기부하에 대한 수동 고조파필터의 해석 및 설계 (Analysis and Design of a Passive Harmonic Filter for a Three-Phase Rectifier)

  • 조영식;차한주
    • 전기학회논문지P
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    • 제58권3호
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    • pp.316-322
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    • 2009
  • This paper presents an analytical design method of a passive harmonic filter for a three-phase diode rectifier and uses a new transfer function approach in the analysis and design. The transfer function approach derives an analytical formulation of an utility system including passive filters with a basis of Laplace transform and provides a graphical formulation so that a visualized insight into an interaction between individual filter and system response can be attainted. Harmonic impedance, voltage division and current division transfer function are used as a design tool, which makes a calculated filter parameters to satisfy IEEE-519 distortion limits. A simple five-step design procedure is introduced in the filter design, which consists of system analysis, selection of PCC(Point of Common Coupling), filter specification calculation, appropriate filter design for system and filter implementation. Philosophy governing the design procedure is based on a numerical/graphical iterative solution, trial and error with visualization feed-back based on "algebra on the graph". Finally, performance of the designed passive harmonic filter is verified by experiment and shows that 5th, 7th, 9th, 11th and 13th harmonics are decreased within IEEE-519 distortion limits, respectively.

Dynamic response of Euler-Bernoulli beams to resonant harmonic moving loads

  • Piccardo, Giuseppe;Tubino, Federica
    • Structural Engineering and Mechanics
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    • 제44권5호
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    • pp.681-704
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    • 2012
  • The dynamic response of Euler-Bernoulli beams to resonant harmonic moving loads is analysed. The non-dimensional form of the motion equation of a beam crossed by a moving harmonic load is solved through a perturbation technique based on a two-scale temporal expansion, which permits a straightforward interpretation of the analytical solution. The dynamic response is expressed through a harmonic function slowly modulated in time, and the maximum dynamic response is identified with the maximum of the slow-varying amplitude. In case of ideal Euler-Bernoulli beams with elastic rotational springs at the support points, starting from analytical expressions for eigenfunctions, closed form solutions for the time-history of the dynamic response and for its maximum value are provided. Two dynamic factors are discussed: the Dynamic Amplification Factor, function of the non-dimensional speed parameter and of the structural damping ratio, and the Transition Deamplification Factor, function of the sole ratio between the two non-dimensional parameters. The influence of the involved parameters on the dynamic amplification is discussed within a general framework. The proposed procedure appears effective also in assessing the maximum response of real bridges characterized by numerically-estimated mode shapes, without requiring burdensome step-by-step dynamic analyses.

Variable Parameter Sliding Controller Design for Vehicle Brake with Wheel Slip

  • Liang, Hong;Chong, Kil-To
    • Journal of Mechanical Science and Technology
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    • 제20권11호
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    • pp.1801-1812
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    • 2006
  • In this paper, a 4-wheel vehicle model including the effects of tire slip was considered, along with variable parameter sliding control, pushrod force as the end control parameter, and an antilock sliding control, in order to improve the performance of the vehicle longitudinal response. The variable sliding parameter is made to be proportional to the square root of the pressure derivative at the wheel, in order to compensate for large pressure changes in the brake cylinder. A typical tire force-relative slip curve for dry road conditions was used to generate an analytical tire force-relative slip function, and an antilock sliding control process based on the analytical tire force-relative slip function was used. A retrofitted brake system, with the pushrod force as the end control parameter, was employed, and an average decay function was used to suppress the simulation oscillations. Simulation results indicate that the velocity and spacing errors were slightly larger than the results that without considering wheel slip effect, the spacing errors of the lead and follower were insensitive to the adhesion coefficient up to the critical wheel slip value, and the limit for the antilock control on non-constant adhesion road condition was determined by the minimum of the equivalent adhesion coefficient.

EPCglobal RFID 시스템에서 Key server를 사용하는 인증 프로토콜 (An Authentication Protocol using the key server in the EPCglobal RFID System)

  • 이규환;김재현
    • 한국통신학회논문지
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    • 제34권10B호
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    • pp.1013-1020
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    • 2009
  • 본 논문에서는 EPCglobal RFID 시스템에서 Key server를 사용하는 인증 프로토콜을 제안한다. 제안하는 인증 프로토콜은 RFID 시스템에서 발생할 수 있는 보안적 문제점들과 DoS공격에 대처하기 위하여 Key sewer를 사용하고, 구현의 용이함을 위하여 추가적인 hash함수 등의 구현 없이 EPCgloal class 1 gen 2 프로토콜에서 제공하는 함수를 이용한다. 본 논문에서는 성능 분석을 위하여 GNY 분석과 Security 분석을 수행하였다. 우선 GNY 분석을 통하여 프로토콜의 신뢰성을 증명하였으며, Security 분석을 통하여 제안하는 인증 프로토콜이 DoS공격을 포함한 다양한 공격에 안전하다는 것을 보였다. 이러한 성능 분석 결과, 제안하는 인증 프로토콜은 안전한 RFID 시스템을 제공한다는 것을 입증할 수 있었다.

Nonlinear response of a resonant viscoelastic microbeam under an electrical actuation

  • Zamanian, M.;Khadem, S.E.;Mahmoodi, S.N.
    • Structural Engineering and Mechanics
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    • 제35권4호
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    • pp.387-407
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    • 2010
  • In this paper, using perturbation and Galerkin method, the response of a resonant viscoelastic microbeam to an electric actuation is obtained. The microbeam is under axial load and electrical load. It is assumed that midplane is stretched, when the beam is deflected. The equation of motion is derived using the Newton's second law. The viscoelastic model is taken to be the Kelvin-Voigt model. In the first section, the static deflection is obtained using the Galerkin method. Exact linear symmetric mode shape of a straight beam and its deflection function under constant transverse load are used as admissible functions. So, an analytical expression that describes the static deflection at all points is obtained. Comparing the result with previous research show that using deflection function as admissible function decreases the computation errors and previous calculations volume. In the second section, the response of a microbeam resonator system under primary and secondary resonance excitation has been obtained by analytical multiple scale perturbation method combined with the Galerkin method. It is shown, that a small amount of viscoelastic damping has an important effect and causes to decrease the maximum amplitude of response, and to shift the resonance frequency. Also, it shown, that an increase of the DC voltage, ratio of the air gap to the microbeam thickness, tensile axial load, would increase the effect of viscoelastic damping, and an increase of the compressive axial load would decrease the effect of viscoelastic damping.

Accuracy evaluation of 3D time-domain Green function in infinite depth

  • Zhang, Teng;Zhou, Bo;Li, Zhiqing;Han, Xiaoshuang;Gho, Wie Min
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제13권1호
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    • pp.50-56
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    • 2021
  • An accurate evaluation of three-dimensional (3D) Time-Domain Green Function (TDGF) in infinite water depth is essential for ship's hydrodynamic analysis. Various numerical algorithms based on the TDGF properties are considered, including the ascending series expansion at small time parameter, the asymptotic expansion at large time parameter and the Taylor series expansion combines with ordinary differential equation for the time domain analysis. An efficient method (referred as "Present Method") for a better accuracy evaluation of TDGF has been proposed. The numerical results generated from precise integration method and analytical solution of Shan et al. (2019) revealed that the "Present method" provides a better solution in the computational domain. The comparison of the heave hydrodynamic coefficients in solving the radiation problem of a hemisphere at zero speed between the "Present method" and the analytical solutions proposed by Hulme (1982) showed that the difference of result is small, less than 3%.