• 제목/요약/키워드: Spectral element model

검색결과 100건 처리시간 0.073초

원통형쉘의 고주파동적특성을 고려한 등가평판 모델링 (An Equivalent Plate Model for The High-Frequency Dynamic Characteristics of Cylindrical Shells)

  • 이준근;이우식;박철희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1997년도 추계학술대회논문집; 한국과학기술회관; 6 Nov. 1997
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    • pp.402-407
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    • 1997
  • For cylindrical shells, the closed-form solutions are limited only to the cases with special boundary and/or loading conditions. Though the finite element method is certainly a powerful solution approach for the general structural dynamics problems, it is known to provide reliable solutions only in the low frequency region due to the inherent high sensitivities of structural and numerical modeling errors. Instead, the spectral element method has been proved to provide extremely accurate dynamic responses even in the high frequency region. Since the wave characteristics of a cylindrical shell becomes identical to that of a flat plate as the frequency increases, an equivalent plate model (EPM) representing the high-frequency dynamic characteristics of a cylindrical shell is introduced herein. The EPM-based spectral element analysis solutions are compared with the known analytical solutions for the corresponding cylindrical shell to confirm the validity of the present modeling approach.

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능동보의 고유진동수 계산을 위한 휘트릭-윌리엄즈 알고리듬의 유도 (Formulation of a Wittrick-Williams Algorithm for Computing Natural Frequencies of an Active Beam)

  • 김주홍;이우식
    • 한국전산구조공학회논문집
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    • 제15권4호
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    • pp.579-589
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    • 2002
  • 구조물의 고유진동수가 너무 밀집되어 있거나 특성방정식의 부호가 영을 지나지 않고 갑자기 무한대가 되는 등의 불연속성이 존재하는 주파수 대역에 속해있는 고유진동수를 단순히 근을 찾는 수치해석 알고리듬만을 이용하여 모두 찾아내어 계산한다는 것은 그다지 쉬운 일이 아니다. 따라서, 본 연구에서는 이러한 문제점을 극복할 수 있는 휘트릭-월리엄즈 알고리듬을 탄성재층과 압전소자재층의 두개의 층이 적층되어 구성된 능동보의 스펙트럴요소모델에 대하여 유도하였다 유도된 알고리듬은 균일적층 능동보와 부분적층 능동보의 두 경우에 적용하여 그 결과를 평가하였다.

스펙트랄요소법(SEM)을 이용한 파랑-조류 상호작용 현상 수치해석 연구 (Numerical Analysis of Wave-Current Interaction Phenomenon Using the Spectral Element Method)

  • 성홍근;홍기용;경조현;홍사영
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2006년도 추계학술대회 논문집(제1권)
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    • pp.181-186
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    • 2006
  • 본 논문에서는 Freak Wave의 생성원인에 대하여 간략히 논의하였으며, 이 중 파랑-조류 비선형 상호작용에 대한 이론 및 수치적 해석기법의 역사와 장단점 등을 기술한다. 본 연구에서는 파랑-조류 상호작용에 대한 수치모델링 및 해석 기법을 개발하고 있다. 개발 중인 수치해석 기법은 공간적으로 불균일한 조류와 파랑의 비선형 상호작용을 해석하기 위하여 Navier-Stokes 방정식을 이용하여 유동현상을 모델링하였으며, 이산화를 위하여 스펙트랄요소법(Spectral Element Method; SEM)을 이용하였다. 또한 자유표면의 운동을 효과적으로 기술하기 위하여 ALE(Arbitrary Lagrangian-Eulerian)기법을 사용하였다. 본 연구의 유동 모델과 수치해석기법의 과정과 특성, 그리고 장점 등에 대하여 논의하였으며, 초기적인 수치해석 결과를 제시하였다. 이를 바탕으로 개발된 수치해석기법의 정확성 및 수렴성을 확인할 수 있다.

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변분법을 이용한 회전축의 스펙트럴요소 모델링 (Spectral Element Modeling of Rotating Shafts by Using Variational Method)

  • 용석진;이재상;이우식
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2007년도 추계학술대회 논문집
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    • pp.923-926
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    • 2007
  • In this paper, the vibration of a rotating shaft with a thin rigid disk is considered. It is assumed that the shaft has uniform, circular cross-section. Based on the Timoshenko-beam theory, the transverse displacements and slops in two lateral directions, the axial displacement, and the torsional deformation are considered. A spectral element model is developed by using the variation method for the vibration analysis of the rotating shaft with a thin rigid disk, which is modeled by two shaft elements and a thin rigid disk element. The result of vibration analysis by finite element method is compared to the result of this research.

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베어링으로 지지된 회전축의 스펙트럴요소 모델링 (Spectral Element Modeling of the Rotating Shafts on Bearing Supports)

  • 이재상;이우식
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2008년도 춘계학술대회 논문집
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    • pp.826-830
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    • 2008
  • In this paper, the vibration of a rotating shaft with a thin rigid disk on bearing supports is considered. It is assumed that the shaft has uniform, circular cross-section. Based on the Timoshenko-beam theory, the transverse displacements and slops in two lateral directions, the axial displacement, and the torsional deformation are considered. And flexible supports are used to analyse the bearings. A spectral element model is developed for the vibration analysis of the rotating shaft with a thin rigid disk, which is modeled by two shaft elements and a thin rigid disk element. The result of vibration analysis by finite element method is compared to the result of this research.

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스펙트럴유한요소법을 적용한 점탄성층 샌드위치평판의 진동해석 (Applications of Spectral Finite Element Method for Vibration Analysis of Sandwich Plate with Viscoelastic Core)

  • 이성주;송지훈;홍석윤
    • 대한조선학회논문집
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    • 제46권2호
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    • pp.155-164
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    • 2009
  • In this paper, a spectral finite element method for a rectangular sandwich plate with viscoelastic core having the Levy-type boundary conditions has been plated. The sandwich plate consists of two isotropic and elastic face plates with a surfaced-bonded viscoelastic core. For the analysis, the in-plane and transverse energy in the face plates and only shear energy in the core are considered, respectively. To account for the frequency dependent complex shear modulus of the viscoelastic core, the Golla-Hughes-McTavish model is adopted. To evaluate the validity and accuracy of the proposed method, the frequency response function and dynamic responses of the sandwich plate with all edges simply supported subject to an impact load are calculated and compared with those calculated by a finite element method. Though these calculations, it is confirmed that the proposed method is very reliable and efficient one for vibration analysis of a rectangular sandwich plate with viscoelastic core having the Levy-type boundary conditions.

Effects of blast-induced random ground motions on the stochastic behaviour of industrial masonry chimneys

  • Haciefendioglu, Kemal;Soyluk, Kurtulus
    • Structural Engineering and Mechanics
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    • 제43권6호
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    • pp.835-845
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    • 2012
  • This paper focuses on the stochastic response analysis of industrial masonry chimneys to surface blast-induced random ground motions by using a three dimensional finite element model. Underground blasts induce ground shocks on nearby structures. Depending on the distance between the explosion centre and the structure, masonry structures will be subjected to ground motions due to the surface explosions. Blast-induced random ground motions can be defined in terms of the power spectral density function and applied to each support point of the 3D finite element model of the industrial masonry system. In this paper, mainly a parametric study is conducted to estimate the effect of the blast-induced ground motions on the stochastic response of a chimney type masonry structure. With this purpose, different values of charge weight and distance from the charge centre are considered for the analyses of the chimney. The results of the study underline the remarkable effect of the surface blast-induced ground motions on the stochastic behaviour of industrial masonry type chimneys.

의사스펙트로법에 의한 대기확산형상의 수치모델(1) - 대기확산방정식과 스펙트로모델 - (Numerical Models for Atmospheric Diffusion Problems by Pseudospectral Method (1) - Atmospheric Diffusion Equations and Spectral Model -)

  • 김선태;장영기
    • 한국대기환경학회지
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    • 제7권3호
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    • pp.189-196
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    • 1991
  • In recent years spectral methods have been found to be a powerful tool for the numerical solution of hynamic differential equations. The main attraction of spectral method is accuracy even though it is generally difficult to implement and solve the complex problems using spectral method. We introduced diffusion equations describing the state of air pollution and solved by pseutospectral method in dimensionless form. The results were compared with both those of other numerical methods and analytical solutions. Comparing with finite difference method and finite element method, spectral method shows the highest accuracy for one dimension problem in this study. Also, the results of two dimensional diffusion problems show good agreement with analytical solutions.

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Structural damage identification with power spectral density transmissibility: numerical and experimental studies

  • Li, Jun;Hao, Hong;Lo, Juin Voon
    • Smart Structures and Systems
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    • 제15권1호
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    • pp.15-40
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    • 2015
  • This paper proposes a structural damage identification approach based on the power spectral density transmissibility (PSDT), which is developed to formulate the relationship between two sets of auto-spectral density functions of output responses. The accuracy of response reconstruction with PSDT is investigated and the damage identification in structures is conducted with measured acceleration responses from the damaged state. Numerical studies on a seven-storey plane frame structure are conducted to investigate the performance of the proposed damage identification approach. The initial finite element model of the structure and measured acceleration measurements from the damaged structure are used for the identification with a dynamic response sensitivity-based model updating method. The simulated damages can be identified accurately without and with a 5% noise effect included in the simulated responses. Experimental studies on a steel plane frame structure in the laboratory are performed to further verify the accuracy of response reconstruction with PSDT and validate the proposed damage identification approach. The locations of the introduced damage are detected accurately and the stiffness reductions in the damaged elements are identified close to the true values. The identification results demonstrated the accuracy of response reconstruction as well as the correctness and efficiency of the proposed damage identification approach.

An improved approach for multiple support response spectral analysis of a long-span high-pier railway bridge

  • Li, Lanping;bu, Yizhi;Jia, Hongyu;Zheng, Shixiong;Zhang, Deyi;Bi, Kaiming
    • Earthquakes and Structures
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    • 제13권2호
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    • pp.193-200
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    • 2017
  • To overcome the difficulty of performing multi-point response spectrum analysis for engineering structures under spatially varying ground motions (SVGM) using the general finite element code such as ANSYS, an approach has been developed by improving the modelling of the input ground motions in the spectral analysis. Based on the stochastic vibration analyses, the cross-power spectral density (c-PSD) matrix is adopted to model the stationary SVGM. The design response spectra are converted into the corresponding PSD model with appropriate coherency functions and apparent wave velocities. Then elements of c-PSD matrix are summarized in the row and the PSD matrix is transformed into the response spectra for a general spectral analysis. A long-span high-pier bridge under multiple support excitations is analyzed using the proposed approach considering the incoherence, wave-passage and site-response effects. The proposed approach is deemed to be an efficient numerical method that can be used for seismic analysis of large engineering structures under SVGM.