• 제목/요약/키워드: Homogenization Model

검색결과 144건 처리시간 0.024초

Fundamental vibration frequency prediction of historical masonry bridges

  • Onat, Onur
    • Structural Engineering and Mechanics
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    • 제69권2호
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    • pp.155-162
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    • 2019
  • It is very common to find an empirical formulation in an earthquake design code to calculate fundamental vibration period of a structural system. Fundamental vibration period or frequency is a key parameter to provide adequate information pertinent to dynamic characteristics and performance assessment of a structure. This parameter enables to assess seismic demand of a structure. It is possible to find an empirical formulation related to reinforced concrete structures, masonry towers and slender masonry structures. Calculated natural vibration frequencies suggested by empirical formulation in the literatures has not suits in a high accuracy to the case of rest of the historical masonry bridges due to different construction techniques and wide variety of material properties. For the listed reasons, estimation of fundamental frequency gets harder. This paper aims to present an empirical formulation through Mean Square Error study to find ambient vibration frequency of historical masonry bridges by using a non-linear regression model. For this purpose, a series of data collected from literature especially focused on the finite element models of historical masonry bridges modelled in a full scale to get first global natural frequency, unit weight and elasticity modulus of used dominant material based on homogenization approach, length, height and width of the masonry bridge and main span length were considered to predict natural vibration frequency. An empirical formulation is proposed with 81% accuracy. Also, this study draw attention that this accuracy decreases to 35%, if the modulus of elasticity and unit weight are ignored.

Exact third-order static and free vibration analyses of functionally graded porous curved beam

  • Beg, Mirza S.;Khalid, Hasan M.;Yasin, Mohd Y.;Hadji, L.
    • Steel and Composite Structures
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    • 제39권1호
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    • pp.1-20
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    • 2021
  • An exact solution based on refined third-order theory (TOT) has been presented for functionally graded porous curved beams having deep curvature. The displacement field of the refined TOT is derived by imposing the shear free conditions at the outer and inner surfaces of curved beams. The properties of the two phase composite are tailored according the power law rule and the effective properties are computed using Mori-Tanaka homogenization scheme. The equations of motion as well as consistent boundary conditions are derived using the Hamilton's principle. The curved beam stiffness coefficients (A, B, D) are obtained numerically using six-point Gauss integration scheme without compromising the accuracy due to deepness (1 + z/R) terms. The porosity has been modeled assuming symmetric (even) as well as asymmetric (uneven) distributions across the cross section of curved beam. The programming has been performed in MATLAB and is validated with the results available in the literature as well as 2D finite element model developed in ABAQUS. The effect of inclusion of 1 + z/R terms is studied for deflection, stresses and natural frequencies for FG curved beams of different radii of curvature. Results presented in this work will be useful for comparison of future studies.

An Investigation of Brand Communication in Small and Medium-sized Cities in China Based on Grounded Theory

  • QunQing Zhang;XueHua Jin
    • International journal of advanced smart convergence
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    • 제13권1호
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    • pp.162-179
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    • 2024
  • With the acceleration of China's urbanization process, the economic development and market potential of small and medium-sized cities have been constantly enhanced, with the urbanization competition having been caught in the vortex of homogenization. However, small and medium-sized cities are exposed to limited resources and funds, and therefore need to be more flexible and innovative in the strategy implementation, while urban brand communication is one of the key factors to promote the competitiveness of cities. Taking the small and medium-sized cities in China as the research objects, this study, based on the domestic and foreign theories about the brand communication of small and medium-sized cities, as well as other city-related theories, analyzes textual materials about the current situation and new changes in brand communication of small and medium-sized cities with grounded theory, reflecting on the problems in brand communication in China's small and medium-sized cities. Combining the basic elements of urban brand communication, a model for constructing brand communication strategies for small and medium-sized cities is further proposed, so as to provide the differentiated and distinctive strategies for the construction and communication of urban brands in small and medium-sized cities in China, as well as provide a new perspective and strategy on how to enhance the competitiveness and contribute to the sustainable economic development of small and medium-sized.

10MW급 부유식 파력-풍력 복합발전 시스템 플랫폼 초기설계를 위한 위상최적화 응용 (Topology Optimization Application for Initial Platform Design of 10 MW Grade Floating Type Wave-wind Hybrid Power Generation System)

  • 송창용;이강수;홍기용
    • 한국해양환경ㆍ에너지학회지
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    • 제19권3호
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    • pp.194-202
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    • 2016
  • 본 연구에서는 10 MW급 부유식 파력-풍력 복합발전 시스템의 플랫폼 초기 개념설계를 위해 유한요소해석 기반 위상 최적화를 검토하였다. 실제 파력-풍력 복합발전 시스템 플랫폼의 위상최적화를 수행하기 전에 단순화된 구조설계 문제를 이용하여 효율적인 위상최적화 이론을 확인하고자 밀도법과 균질화설계법의 두 가지 위상최적화 이론을 적용하였다. 단순화된 설계 문제의 결과로부터 균질화설계법 이론을 파력-풍력 복합발전 시스템의 플랫폼 위상최적화에 적용하였다. 파력-풍력 복합발전 시스템의 플랫폼 개념설계를 위해서 유한요소해석 모델을 생성하고 설치해역의 해양환경하중을 고려하여 구조해석을 수행하였다. 설계파 및 조류와 같은 해양환경하중으로부터 기인하는 플랫폼 상의 압력과 계류삭의 인장력을 산출하기 위하여 동수력학 해석을 수행하였다. 구조해석을 위한 하중조건은 부유체 동수력학 해석으로부터의 결과와 파력-풍력 복합발전 시스템 중량을 고려하였고, 경계조건은 관성제거법을 사용하여 구현하였다. 밀도법 기반 파력-풍력 복합발전 시스템 플랫폼의 위상최적화 결과로부터 개념설계 단계에서 주요 구조부재의 배치방안을 제시하였다. 본 연구결과로부터 위상최적화는 부유식 파력-풍력 복합발전 시스템과 같은 새로운 형식의 해양구조물 개발에 있어서 주요 구조부재 배치의 개념설계에 대해 유용한 설계도구임을 확인하였다.

The effective properties of saturated concrete healed by EDM with the ITZs

  • Chen, Qing;Jiang, Zhengwu;Zhu, Hehua;Ju, J.W.;Yan, Zhiguo;Li, Haoxin
    • Computers and Concrete
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    • 제21권1호
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    • pp.67-74
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    • 2018
  • A differential scheme based micromechanical framework is proposed to obtain the effective properties of the saturated concrete repaired by the electrochemical deposition method (EDM) considering the interfacial transition zone (ITZ) effects. The constituents of the repaired concrete are treated as different phases, consisting of (micro-)cracks, (micro-)voids and (micro-)pores (occupied by water), deposition products, intrinsic concrete made up by the three traditional solid phases (i.e., mortar, coarse aggregates and their interfaces) and the ITZs. By incorporating the composite sphere assemblage (CSA) model and the differential approach, a new multilevel homogenization scheme is utilized to quantitatively estimate the mechanical performance of the repaired concrete with the ITZs. The CSA model is modified to obtain the effective properties of the equivalent particle, which is a three-phase composite made up of the water, deposition products and the ITZs. The differential scheme is employed to reach the equivalent composite of the concrete repaired by EDM considering the ITZ effects. Moreover, modification procedures considering the ITZ effects are presented to attain the properties of the repaired concrete in the dry state. Results in this study are compared with those of the existing models and the experimental data. It is found that the predictions herein agree better with the experimental data than the previous models.

미소 구조 물성의 확률적 분포를 고려한 하이브리드 성형 공정 연계 멀티스케일 구조 해석 (Multi-scale Process-structural Analysis Considering the Stochastic Distribution of Material Properties in the Microstructure)

  • 장경석;김태리;김정환;윤군진
    • Composites Research
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    • 제35권3호
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    • pp.188-195
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    • 2022
  • 본 논문은 멀티스케일 공정-구조 해석의 방법론을 제안하고 단섬유층과 직물층으로 이루어진 배터리 하우징 파트에 적용한다. 특별히 마이크로스케일 대표체적요소(RVE: Representative Volume Element)안 기지의 불확정성을 고려하였다. 마이크로스케일의 RVE내 기지 물성의 랜덤한 공간내 분포는 KLE(Karhunen-Loeve Expansion)을 통해 구현하였다. 공간상 랜덤분포된 기지 물성을 갖는 RVE의 유효 물성을 전산균질화를 통해 얻어 매크로스케일 유한요소 모델에 매핑하였다. 또한 하이브리드 공정해석을 통해 압축 성형 해석으로부터 얻은 잔류응력과 섬유배향을 매핑한 유한요소 모델과 드레이핑 공정 해석결과로부터 얻어진 섬유배향을 매핑한 모델을 결합하였다. 본 연구에 제안된 방법은 배터리 하우징 뿐만 아니라 다양한 재료 구성을 갖는 복합재료의 공정-구조해석을 통해 설계요구도를 엄밀하게 평가할 수 있을 것이라 기대된다.

경계면 손상을 고려한 적층복합재료에 대한 멀티스케일 피로 손상 모델 (Multi-scale Progressive Fatigue Damage Model for Unidirectional Laminates with the Effect of Interfacial Debonding)

  • 하동원;김정환;김태리;주영식;윤군진
    • Composites Research
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    • 제36권1호
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    • pp.16-24
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    • 2023
  • 본 논문에서는 복합재료의 섬유와 기지사이의 경계면 손상을 고려한 멀티스케일 점진적 피로 손상 모델을 제안한다. 먼저 점진적인 경계면 손상을 고려하기 위해 서로 다른 4개의 경계면 상태를 정의한 미소구조 모델을 도입하였다. 각각의 상태에 대한 부피분율은 피로 하중의 사이클 수가 증가함에 따라 온전한 상태의 계면에서 완전 박리 상태의 계면으로의 전환이 일어난다. 손상된 경계면의 에쉘비 텐서(Eshelby's tensor)를 계산하기 위해 선형 스프링 모델이 사용되었으며 균질화 방법을 통해 복합재료의 유효 물성을 얻었다. 또한 복합재료의 피로거동을 묘사하기 위해 교번 응력에 대한 섬유, 기지, 그리고 섬유-기지 간의 계면 각각에 대한 손상 변수들이 정의되었고 이를 chaotic firefly 알고리즘을 통해 손상 변수를 특성화 하였다. 제안된 모델은 유한요소해석프로그램 ABAQUS의 UMAT subroutine으로 구현되어 AS4/3501-6 복합재료의 단일방향 라미네이트(unidirectional laminate) 시편들([0]8, [90]8,[30]16)을 통해 성공적으로 검증되었다.

서브셀 모델링을 통한 니들 펀치 C/SiC 복합재료의 멀티스케일 유한요소해석 (Multiscale Finite Element Analysis of Needle-Punched C/SiC Composites through Subcell Modeling)

  • 임형준;최호일;이민정;윤군진
    • 한국전산구조공학회논문집
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    • 제34권1호
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    • pp.51-58
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    • 2021
  • 본 논문에서는 Needle-punched C/SiC 복합재료 해석을 위한 효율적인 멀티스케일 해석기법을 소개한다. 기존 Needle-punching으로 인해 복잡한 미소구조를 갖는 NP 복합재료는 기존의 제안된 복합재료 멀티스케일 기법으로 물성을 계산하는 것은 한계가 있어 왔다. 이를 극복하기 위해 micro-CT 이미지 촬영을 통해 NP 복합재료의 미소구조를 면밀히 파악할 수 있었고, 이미지 프로세싱을 바탕으로 실제구조와 직접적으로 대응할 수 있는 3D high fidelity 모델을 구축하였다. 또한 유한요소해석에 맞춰 요소크기를 조절할 수 있는 sub-region processing 소개를 바탕으로 효율적인 유한요소해석을 수행하였다. NP 복합재료의 미소구조 거동뿐만 아니라, macro-scale 구조해석의 적용을 위해 subcell 모델링을 제안하였다. Needle-punching에 의한 Z축 NP 섬유의 규칙적인 간격을 이용하여 모델링을 수행할 수 있었다. 제안한 두 종류의 모델은 균질화 기법을 이용하여 등가거동 및 등가물성을 파악하였으며, 추가적인 실험 결과와의 비교를 통해 검증을 수행하였다.

수소유기에 따른 Pd-Co합금들의 상 분리 현상에 대한 열역학적 고찰 (Thermodynamics of Hydrogen-Induced Phase Separation on Pd-Co Alloys)

  • 송도민;박충년;최전
    • 한국수소및신에너지학회논문집
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    • 제16권3호
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    • pp.244-252
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    • 2005
  • It is very interesting and important in the academic point of view and in practical use the hydrogen-induced phase separation(HIPS) which appears during hydrogen heat treatment. Since hydrogen can be removed very fast by pumping it out the hydrogen-induced new lattice phase which can not be obtained without hydrogen can be preserved as meta-stable state. In this study it has been investigated whether the HIPS appear in Pd-Al, Pd-Co, Pd-Cr, Pd-Ti, Pd-V and Pd-Zr alloys and discussed thermodynamic representation of the HIPS. The Pd alloys were arc-melted under argon atmosphere and remelted 4 or 5 times for homogenization. The alloys were annealed at 600$^{\circ}C$ under vacuum for 24 hrs and then subjected to pressure-composition isotherm measurements at 100$^{\circ}C$. The hydrogen heat treatment(HHT) of samples was carried out at 600$^{\circ}C$ under hydrogen pressure of 70 bar for 6 days and PC isotherms at 100$^{\circ}C$ were measured. By comparing the PC isotherms measured before and after HHT, occurrence of phase separation was determined. The experimental results showed that the HIPS appeared only in Pd-0.05Co alloy. For Pd-Co alloys with various composition the PC isotherms were measured. By adopting Park-Flanagan model for ternary thermodynamics the Gibbs free energy change for Pd-Co-H solid solution was calculated and subsequently with this the HIPS in Pd-Co alloy was explained fairly.

열처리 및 가열방식에 따른 Zr-2.5Nb 압력관의 수소지연균열 특성에 관한 연구 (A Study on the Characteristics of Delayed Hydride Cracking in Zr-2.5Nb Pressure Tube with the Heating-up and Heat-treatment)

  • 나은영
    • 한국해양공학회지
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    • 제23권2호
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    • pp.69-73
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    • 2009
  • The objective of this study was to obtain a better understanding of the delayed hydride cracking (DHC) of Zr-2.5Nb alloy. The DHC model has some defects: first, it cannot explain why the DHC velocity (DHCV) becomes constant regardless of an applied stress intensity factor, even though the stress gradient is affected by the applied stress intensity factor at the notch tip. Second, it cannot explain why the DHCV has a strong dependence on the method of approaching the test temperature by a cool-down or a heating-up, even under the same stress gradient, and third, it cannot predict any hydride size effect on the DHC velocity. The DHC tests were conducted on Zr-2.5Nb compact tension specimens with the test temperatures reached by a heating-up method and a cool-down method. Crack velocities were measured in hydrided specimens, which were cooled from solution-treatment temperatures at different rates by being furnace-cooled, water-quenched, and liquid nitrogen-quenched. The resulting hydride size, morphology, and distributions were examined by optical metallography. It was found that fast cooling rates, which produce very finely dispersed hydrides, result in higher crack growth rates. This different DHC behavior of the Zr-2.5Nb tube with the cooling rate after a homogenization treatment is due to the precipitation of the $\gamma$-hydrides only in the water-quenched Zr-2.5Nb tube. This experiment will provide supporting evidence that the terminal solid solubility of a dissolution (TSSD) of $\gamma$-hydrides is higher than that of $\delta$-hydrides.