• 제목/요약/키워드: Periodic structure

검색결과 601건 처리시간 0.034초

A 3D RVE model with periodic boundary conditions to estimate mechanical properties of composites

  • Taheri-Behrooz, Fathollah;Pourahmadi, Emad
    • Structural Engineering and Mechanics
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    • 제72권6호
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    • pp.713-722
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    • 2019
  • Micromechanics is a technique for the analysis of composites or heterogeneous materials which focuses on the components of the intended structure. Each one of the components can exhibit isotropic behavior, but the microstructure characteristics of the heterogeneous material result in the anisotropic behavior of the structure. In this research, the general mechanical properties of a 3D anisotropic and heterogeneous Representative Volume Element (RVE), have been determined by applying periodic boundary conditions (PBCs), using the Asymptotic Homogenization Theory (AHT) and strain energy. In order to use the homogenization theory and apply the periodic boundary conditions, the ABAQUS scripting interface (ASI) has been used along with the Python programming language. The results have been compared with those of the Homogeneous Boundary Conditions method, which leads to an overestimation of the effective mechanical properties. According to the results, applying homogenous boundary conditions results in a 33% and 13% increase in the shear moduli G23 and G12, respectively. In polymeric composites, the fibers have linear and brittle behavior, while the resin exhibits a non-linear behavior. Therefore, the nonlinear effects of resin on the mechanical properties of the composite material is studied using a user-defined subroutine in Fortran (USDFLD). The non-linear shear stress-strain behavior of unidirectional composite laminates has been obtained. Results indicate that at arbitrary constant stress as 80 MPa in-plane shear modulus, G12, experienced a 47%, 41% and 31% reduction at the fiber volume fraction of 30%, 50% and 70%, compared to the linear assumption. The results of this study are in good agreement with the analytical and experimental results available in the literature.

주기 발열 파형을 이용한 열식 질량 유량계의 특성에 관한 수치적 연구 (A numerical study on the characteristics of a thermal mass air flow sensor with periodic heating pulses)

  • 전홍규;오동욱;박병규;이준식
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회B
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    • pp.2482-2487
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    • 2007
  • Numerical simulations are conducted for the analysis of a thermal mass air flow sensor with periodic heating pulses on silicon-nitride ($Si_3N_4$) thin membrane structure. This study aims to find the locations of temperature sensors on the thin membrane and the heating pulse conditions, that the higher sensitivity can be achieved, for the development of a MEMS fabricated mass air flow sensor which is driven in periodic heating pulse. The simulations, thus, focus on the membrane temperature profile according to variation of the flow velocity, heating duration time and imposed power. The flow velocity of the simulations is ranging from 3 m/s to 35 m/s, heating duration time from 1 ms to 3 ms and imposed power from 50 mW to 90 mW. The corresponding Reynolds numbers vary from 1000 to 10000.

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계층형 주기적 자기회귀 이동평균 모형의 추정 (Estimation of Layered Periodic Autoregressive Moving Average Models)

  • 이성덕;김정군;김선우
    • Communications for Statistical Applications and Methods
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    • 제19권3호
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    • pp.507-516
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    • 2012
  • 시계열의 상관구조가 시점에 의존하며 주기적인 상관성을 보이는 계절성 시계열 자료에 대한 시계열 모형들이 비교 분석된다. 주기적 자기회귀이동평균 모형을 소개하고, 실증분석으로 주기적 상관성을 지닌 스위스 Arosa 지방의 성층권 오존 월별 시계열에 계층형 모형인 주기적 자기회귀이동평균 모형과 계절 누적자기회귀이동 평균 모형의 적합을 통하여 주기적 자기회귀이동평균 모형의 우월성을 비교한다.

PBG 구조 성능 해석을 위한 주기경계조건의 FDTD 적용연구 (A Study on the FDTD method using Periodic Boundary Condition for PBG Performance Analysis)

  • 임계재
    • 한국정보전자통신기술학회논문지
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    • 제3권2호
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    • pp.31-38
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    • 2010
  • PBG 구조의 메타물질 설계시 패턴 형태와 배열 구조에 따른 금지대역(bandgap)을 정확하게 설계하기 어려운 문제가 있다. 본 논문에서는 2차원 배열구조로 어떤 모양의 패턴에 대해서도 빠르고 정확하게 원하는 금지대역을 설계할 수 있는 방법을 제안한다. 2차원 평면상의 메타물질 구조는 주기배열로 이루어져 있기 때문에 FDTD 수치해석 방법에 주기경계조건을 부여함으로서 계산영역을 줄였다. 또한 각 패턴이 갖는 L, C 값을 2차원적으로 고려하여 계산하였기 때문에 보다 정확한 설계가 가능하였다. 5GHz 대역에서 정사각형 패턴을 갖는 메타물질을 설계하여 기존의 마이크로스트립 선로를 이용한 1차원 메타물질 해석 값과 비교하였을 때 정확도가 평균적으로 14.7% 향상됨을 확인할 수 있었다.

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접지판 위에 두개의 유전체 층을 갖는 주기적인 스트립 격자 구조에서의 소프트 및 하드표면 연구 (The study of artificially soft and hard surfaces using periodic strips loaded with two layered dielectric slabs over a ground plane)

  • 고지환;강성춘;김재명;조영기;손현
    • 전자공학회논문지A
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    • 제33A권10호
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    • pp.71-80
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    • 1996
  • Sattering problem of electromagnetic waves by periodic strip grating with two dielectrics over a ground plane in case of oblique incidence and arbitrary polarization is analyzed by the vector floquet mode expansion method and the moment mehtod from the viewpoint of soft and hard boundary value problem. To confirm proposed analysis methods, we examine the solution convergence for the scattering problem. And some numerical results of artificially soft and hard surfaces using the structure filled with single dielectric slab between periodic strip grating and gorund plane is compared with previous results. Some interesting results for soft and hard surfaces using periodic strips loaded with two layered dielectric slabs over a ground plane are given.

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자연모사기반 나노-마이크로패턴의 광 회절 및 간섭에 의한 투명기판의 구조색 구현 (Bio-inspired Structural Colors of Transparent Substrate based on Light Diffraction and Interference on Microscale and Nanoscale Structures)

  • 박용민;김병희;서영호
    • 산업기술연구
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    • 제39권1호
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    • pp.33-39
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    • 2019
  • This paper addresses effects of nanoscale structures on structural colors of micropatterned transparent substrate by light diffraction. Structural colors is widely investigated because they present colors without any chemical pigments. Typically structural colors is presented by diffraction of light on a micropatterned surface or by multiple interference of light on a surface containing a periodic or quasi-periodic nano-structures. In this paper, each structural colors induced by quasi-periodic nano-structures, periodic micro-structures, and nano/micro dual structures is measured in order to investigate effects of nanoscale and microscale structures on structural colors in the transparent substrate. Using pre-fabricated pattern mold and hot-embossing process, nanoscale and microscale structures are replicated on the transparent PMMA(Poly methyl methacrylate) substrate. Nanoscale and microscale pattern molds are prepared by anodic oxidation process of aluminum sheet and by reactive ion etching process of silicon wafer, respectively. Structural colors are captured by digital camera, and their optical transmittance spectrum are measured by UV/visible spectrometer. From experimental results, we found that nano-structures provide monotonic colors by multiple interference, and micro-structures induce iridescent colors by diffraction of light. Structural colors is permanent and unchangeable, thus it can be used in various application field such as security, color filter and so on.

Combining different forms of statistical energy analysis to predict vibrations in a steel box girder comprising periodic stiffening ribs

  • Luo, Hao;Cao, Zhiyang;Zhang, Xun;Li, Cong;Kong, Derui
    • Steel and Composite Structures
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    • 제45권1호
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    • pp.119-131
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    • 2022
  • Due to the complexity of the structure and the limits of classical SEA, a combined SEA approach is employed, with angle-dependent SEA in the low- and mid-frequency ranges and advanced SEA (ASEA) considering indirect coupling in the high-frequency range. As an important component of the steel box girder, the dynamic response of an L-junction periodic ribbed plate is calculated first by the combined SEA and validated by the impact hammer test and finite element method (FEM). Results show that the indirect coupling due to the periodicity of stiffened plate is significant at high frequencies and may cause the error to reach 38.4 dB. Hence, the incident bending wave angle cannot be ignored in comparison to classical SEA. The combined SEA is then extended to investigate the vibration properties of the steel box girder. The bending wave transmission study is likewise carried out to gain further physical insight into indirect coupling. By comparison with FEM and classical SEA, this approach yields good accuracy for calculating the dynamic responses of the steel box girder made of periodic ribbed plates in a wide frequency range. Furthermore, the influences of some important parameters are discussed, and suggestions for vibration and noise control are provided.