• 제목/요약/키워드: Harmonic response function

검색결과 88건 처리시간 0.023초

연속 응답 스펙트럼 분석에 의한 아치 구조물의 동적 좌굴 특성 (Dynamic Buckling Characteristics of Arch Structures by Running Response Spectrum)

  • 김승덕;윤태영
    • 한국공간구조학회논문집
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    • 제4권2호
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    • pp.81-88
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    • 2004
  • 동적 불안정 좌굴현상에 관한 연구는 다소 발표되고 있으나, 주기성을 가진 하중하에서의 동적 좌굴을 다룬 연구는 그리 많지 않은 편이다. 주기성을 가진 하중하에서의 거동은 STEP 하중하에서의 거동과는 매우 다르리라 예상된다. 본 논문에서는 동적 불안정의 기본 메커니즘을 파악하기 위하여 양단 핀으로 고정된 정현형 아치가 정현형 조화하중을 받았을 때의 얕은 아치를 대상으로 한다. 얕은 아치의 동적 간접 좌굴 메커니즘을 파악하기 위하여 STEP 하중뿐만 아니라 정현형 조화하중일 때를 대상으로 한다. 동적 비선형 응답 특성을 알기 위하여 수치적분에 의해 기하학적 비선형 운동방정식을 유도한다. 여기서 얻어진 비선형 변위 응답으로 FFT(Fast Fourier Transform)에 의한 연속 응답 스펙트럼을 구해 동적 불안정 특성에 관해서 분석한다.

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Quadratic Volterra 모델을 이용한 자유지지 라이저의 동적 응답 시계열 예측 (Time Series Prediction of Dynamic Response of a Free-standing Riser using Quadratic Volterra Model)

  • 김유일
    • 대한조선학회논문집
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    • 제51권4호
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    • pp.274-282
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    • 2014
  • Time series of the dynamic response of a slender marine structure was predicted using quadratic Volterra series. The wave-structure interaction system was identified using the NARX(Nonlinear Autoregressive with Exogenous Input) technique, and the network parameters were determined through the supervised training with the prepared datasets. The dataset used for the network training was obtained by carrying out the nonlinear finite element analysis on the freely standing riser under random ocean waves of white noise. The nonlinearities involved in the analysis were both large deformation of the structure under consideration and the quadratic term of relative velocity between the water particle and structure in Morison formula. The linear and quadratic frequency response functions of the given system were extracted using the multi-tone harmonic probing method and the time series of response of the structure was predicted using the quadratic Volterra series. In order to check the applicability of the method, the response of structure under the realistic ocean wave environment with given significant wave height and modal period was predicted and compared with the nonlinear time domain simulation results. It turned out that the predicted time series of the response of structure with quadratic Volterra series successfully captures the slowly varying response with reasonably good accuracy. It is expected that the method can be used in predicting the response of the slender offshore structure exposed to the Morison type load without relying on the computationally expensive time domain analysis, especially for the screening purpose.

Geometry and load effects on transient response of a VFGM annular plate: An analytical approach

  • Alavia, Seyed Hashem;Eipakchi, Hamidreza
    • Structural Engineering and Mechanics
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    • 제70권2호
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    • pp.179-197
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    • 2019
  • In this article, the effect of different geometrical, materials and load parameters on the transient response of axisymmetric viscoelastic functionally graded annular plates with different boundary conditions are studied. The behavior of the plate is assumed the elastic in bulk and viscoelastic in shear with the standard linear solid model. Also, the graded properties vary through the thickness according to a power law function. Three types of mostly applied transient loading, i.e., step, impulse, and harmonic with different load distribution respect to radius coordinate are examined. The motion equations and the corresponding boundary conditions are extracted by applying the first order shear deformation theory which are three coupled partial differential equations with variable coefficients. The resulting motion equations are solved analytically using the perturbation technique and the generalized Fourier series. The sensitivity of the response to the graded indexes, different transverse loads, aspect ratios, boundary conditions and the material properties are investigated too. The results are compared with the finite element analysis.

Performance Improvement of Model Predictive Control Using Control Error Compensation for Power Electronic Converters Based on the Lyapunov Function

  • Du, Guiping;Liu, Zhifei;Du, Fada;Li, Jiajian
    • Journal of Power Electronics
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    • 제17권4호
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    • pp.983-990
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    • 2017
  • This paper proposes a model predictive control based on the discrete Lyapunov function to improve the performance of power electronic converters. The proposed control technique, based on the finite control set model predictive control (FCS-MPC), defines a cost function for the control law which is determined under the Lyapunov stability theorem with a control error compensation. The steady state and dynamic performance of the proposed control strategy has been tested under a single phase AC/DC voltage source rectifier (S-VSR). Experimental results demonstrate that the proposed control strategy not only offers global stability and good robustness but also leads to a high quality sinusoidal current with a reasonably low total harmonic distortion (THD) and a fast dynamic response under linear loads.

Application of graded harmonic FE in the analysis of 2D-FGM axisymmetric structures

  • Karakas, Ali I.;Daloglu, Ayse T.
    • Structural Engineering and Mechanics
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    • 제55권3호
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    • pp.473-494
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    • 2015
  • A graded harmonic finite element formulation based on three-dimensional elasticity theory is developed for the structural analysis of 2D functionally graded axisymmetric structures. The mechanical properties of the axisymmetric solid structures composed of two different metals and ceramics are assumed to vary in radial and axial directions according to power law variations as a function of the volume fractions of the constituents. The material properties of the graded element are calculated at the integration points. Effects of material distribution profile on the static deformation, natural frequency and dynamic response analyses of particular axisymmetric solid structures are investigated by changing the power law exponents. It is observed that the displacements, stresses and natural frequencies are severely affected by the variation of axial and radial power law exponents. Good accuracy is obtained with fewer elements in the present study since Fourier series expansion eliminates the need of finite element mesh in circumferential direction and continuous material property distribution within the elements improves accuracy without refining the mesh size in axial and radial directions.

조화분포하중을 받는 원환보의 음향방사 (Sound radiation of curved beam under the action of harmonic line forces)

  • 지창헌
    • 한국안전학회지
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    • 제12권3호
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    • pp.10-16
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    • 1997
  • The problem of sound radiation from curved beam under the action of harmonic line forces is studied. The reaction due to fluid loading on the vibratory response of the curved beam is taken into account. The curved beam is assumed to occupy the plane y=0. The curved beam material and the elastic foundation are assumed to be lossless including a tension force(T), damping coefficient(C) and stiffness of foundation($k_s$) will be employed. The non-dimensional sound power is derived through integration of the surface intensity distribution over the entire curved beam. The expression for sound power is integrated numerically and the results are examined as a function of wavenumber ratio($\gamma$) and stiffness factor($\psi$).

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연속 응답 스펙트럼 분석에 의한 아치의 동적 직접 및 간접 좌굴 특성 (Dynamic Direct and Indirect Buckling Characteristics of Arch by Running Response Spectrum)

  • 윤태영;김승덕
    • 한국공간정보시스템학회:학술대회논문집
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    • 한국공간정보시스템학회 2004년도 춘계 학술발표회 논문집 제1권1호(통권1호)
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    • pp.161-168
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    • 2004
  • The dynamic instability of snapping phenomena has been studied by many researchers. Few papers deal with dynamic buckling under loads with periodic characteristics, and the behavior under periodic excitations is expected to be different from behavior under STEP excitations. We investigate the fundamental mechanisms of the dynamic instability when the sinusoidally shaped arch structures are subjected to sinusoidally distributed excitations with pin-ends. The mechanisms of dynamic indirect snapping of shallow arches are especially investigated under not only STEP function excitations but also under sinusoidal harmonic excitations, applied in the up-and-down direction. The dynamic nonlinear responses are obtained by the numerical integration of the geometrically nonlinear equation of motion, and examined by Fourier spectral analysis in order to get the frequency-dependent characteristics of the dynamic instability for various load levels.

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Nonlinear vibration analysis of a type of tapered cantilever beams by using an analytical approximate method

  • Sun, Weipeng;Sun, Youhong;Yu, Yongping;Zheng, Shaopeng
    • Structural Engineering and Mechanics
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    • 제59권1호
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    • pp.1-14
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    • 2016
  • In this paper, an alternative analytical method is presented to evaluate the nonlinear vibration behavior of single and double tapered cantilever beams. The admissible lateral displacement function satisfying the geometric boundary conditions of a single or double tapered cantilever beam is derived by using Rayleigh-Ritz method. Based on the Lagrange method and the Newton Harmonic Balance (NHB) method, analytical approximate solutions in closed and explicit form are obtained. These approximate solutions show excellent agreement with those of numeric method for small as well as large amplitude. Moreover, due to brevity of expressions, the present analytical approximate solutions are convenient to investigate effects of various parameters on the large amplitude vibration response of tapered beams.

전자기 과도현상 해석과 고조파 평가를 위한 S영역 주파수 의존 등가시스템 개발 (S-Domain Frequency Dependent Network Equivalent for Electromagnetic Transient and Harmonic Assessment)

  • 왕용필;정형환;이준탁;한형주;김해재;정동일;곽노홍
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 제37회 하계학술대회 논문집 A
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    • pp.143-144
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    • 2006
  • The recent power systems are very complex and to model them completely is impractical for analysis of electromagnetic transient Therefore areas outside the immediate area of interest must be represented by some form of Frequency Dependent Network Equivalent (FDNE). In this paper a method for developing Frequency Dependent Network Equivalent (FDNE) using S-domain rational Function Fitting is presented and demonstrated. The FDNE is generated by Linearized Least Squares Fitting(LSF) of the frequency response of a S-domain formulation. This Three-port FDNE have been applied to the test AC power system. The electromagnetic transient package PSCAD/EMTDC is used to assess the transient response of the Three-port FDNE developed under different condition. The study results have indicated the robustness and accuracy of Three-port FDNE for analisys of electromagnetic transient and harmonic assessment.

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전자기 과도현상 해석과 고조파 평가를 위한 Z영역 주파수 의존 등가시스템 개발 (Z-Domain Frequency Dependent Network Equivalent for Electromagnetic Transient and Harmonic Assessment)

  • 왕용필;정형환;김경엽;이준탁;한형주;안병철;전영수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 제37회 하계학술대회 논문집 A
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    • pp.145-146
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    • 2006
  • The recent power systems are very complex and to model them completely is impractical for analysis of electromagnetic transient. Therefore areas outside the immediate area of interest must be represented by some form of Frequency Dependent Network Equivalent (FDNE). In this paper a method for developing Frequency Dependent Network Equivalent (FDNE) using Z-domain rational Function Fitting is presented and demonstrated. The FDNE is generated by Linearized Least Squares Fitting(LSF) of the frequency response of a Z-domain formulation. This Three-port FDNE have been applied to the test AC power system. The electromagnetic transient package PSCAD/EMTDC is used to assess the transient response of the Three-port FDNE developed under different condition. The study results have indicated the robustness and accuracy of Three-port FDNE for analisys of electromagnetic transient and harmonic assessment.

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