• Title/Summary/Keyword: Free volume theory

검색결과 191건 처리시간 0.022초

한국·몽고 경제분야 무역촉진에 대한 상관연구 (A Study on the Economic Status and Trade Enhancement of Korea and Mongolia)

  • 배상목;박유순
    • 산업진흥연구
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    • 제5권1호
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    • pp.149-155
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    • 2020
  • In this study, we aim to build a consensus that the Korea-Mongolian economic cooperation and trade growth will bring economic benefits to both countries and, in addition, the FTA between the two countries will bring economic benefits to the overall economy through the economic status and mutual trade status of Korea and Mongolia. Currently, countries around the world are accelerating their market battle with fierce competition, pushing for the opening of their markets through free trade agreements of multilateralism and regionalism centered on the WTO as a rapid change in the global economic environment. Amid such an international economic environment, Korea is developing diverse economic cooperation and FTA strategies, and under the principle that it is based on comprehensive and national consensus, it will sign simultaneous FTAs with major countries, but will diversify its trade partners' efforts to increase trade volume through market advantage, secure energy resources, and so on to secure more resources in overseas markets.

Free vibration of an annular sandwich plate with CNTRC facesheets and FG porous cores using Ritz method

  • Emdadi, Mohsen;Mohammadimehr, Mehdi;Navi, Borhan Rousta
    • Advances in nano research
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    • 제7권2호
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    • pp.109-123
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    • 2019
  • In this article, the free vibration analysis of annular sandwich plates with various functionally graded (FG) porous cores and carbon nanotubes reinforced composite (CNTRC) facesheets is investigated based on modified couple stress theory (MCST) and first order shear deformation theories (FSDT). The annular sandwich plate is composed of two face layers and a functionally graded porous core layer which contains different porosity distributions. Various approaches such as extended mixture rule (EMR), Eshelby-Mori-Tanaka (E-M-T), and Halpin-Tsai (H-T) are used to determine the effective material properties of microcomposite circular sandwich plate. The governing equations of motion are extracted by using Hamilton's principle and FSDT. A Ritz method has been utilized to calculate the natural frequency of an annular sandwich plate. The effects of material length scale parameters, boundary conditions, aspect and inner-outer radius ratios, FG porous distributions, pore compressibility and volume fractions of CNTs are considered. The results are obtained by Ritz solutions that can be served as benchmark data to validate their numerical and analytical methods in the future work and also in solid-state physics, materials science, and micro-electro-mechanical devices.

Buckling and free vibration analysis of multi-directional functionally graded sandwich plates

  • Ali, Alnujaie;Atteshamuddin S., Sayyad;Lazreg, Hadji;Abdelouahed, Tounsi
    • Structural Engineering and Mechanics
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    • 제84권6호
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    • pp.813-822
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    • 2022
  • In this article, the buckling and free vibration of multi-directional FGM sandwich plates are investigated. The material properties of FGM sandwich plates are assumed to be varying continuously in the in the longitudinal, transverse and thickness directions. The material properties are evaluated based on Voigt's micro-mechanical model considering power law distribution method with arbitrary power index. Equations of motion for the buckling and vibration analysis of multi-directional FGM sandwich plate are obtained based on refined shear deformation theory. Analytical solution for simply supported multidirectional FGM sandwich plate is carried out using Navier's solution technique. The FGM sandwich plate considered in this work has a homogeneous ceramic core and two functionally graded face sheets. Influence of volume fraction index in the longitudinal, transverse and thickness direction, layer thickness, and geometrical parameter over natural frequency and critical buckling load of multi-directional FGM sandwich plate is investigated. The finding shows a multi-directional functionally graded structures perform better compared to uni-directional gradation. Hence, critical grading parameters have been identified which will guide researchers in selecting fabrication routes for improving the performance of such structures.

Nonlinear free vibration analysis of functionally graded carbon nanotube reinforced fluid-conveying pipe in thermal environment

  • Xu, Chen;Jing-Lei, Zhao;Gui-Lin, She;Yan, Jing;Hua-Yan, Pu;Jun, Luo
    • Steel and Composite Structures
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    • 제45권5호
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    • pp.641-652
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    • 2022
  • Fluid-conveying tubes are widely used to transport oil and natural gas in industries. As an advanced composite material, functionally graded carbon nanotube-reinforced composites (FG-CNTRC) have great potential to empower the industry. However, nonlinear free vibration of the FG-CNTRC fluid-conveying pipe has not been attempted in thermal environment. In this paper, the nonlinear free vibration characteristic of functionally graded nanocomposite fluid-conveying pipe reinforced by single-walled carbon nanotubes (SWNTs) in thermal environment is investigated. The SWCNTs gradient distributed in the thickness direction of the pipe forms different reinforcement patterns. The material properties of the FG-CNTRC are estimated by rule of mixture. A higher-order shear deformation theory and Hamilton's variational principle are employed to derive the motion equations incorporating the thermal and fluid effects. A two-step perturbation method is implemented to obtain the closed-form asymptotic solutions for these nonlinear partial differential equations. The nonlinear frequencies under several reinforcement patterns are presented and discussed. We conduct a series of studies aimed at revealing the effects of the flow velocity, the environment temperature, the inner-outer diameter ratio, and the carbon nanotube volume fraction on the nature frequency.

가압 급냉하에서의 사출 성형품내의 잔류 응력 형성 해석 (Residual stress formation in injection-molded samples under constrained quenching)

  • 윤경환
    • 한국정밀공학회지
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    • 제14권11호
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    • pp.58-68
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    • 1997
  • The residual stresses in injection-molded plastic parts can be divided into two, i.e., the flow-induced residual stress produced in flowing stage and the thermally-induced residual stress produced in cooling stage. Especially, the main source for the defect in the final parts, such as warpage, is known to be the thermally-induced stresses. For the freely quenched samples the structures of residual stresses and bire-fringence have been investigated by many researchers extensively. However, the boundary condition for free quenching was found to be improper to study actual injection molding process. In the present study a datailed structure of the residual stresses and birefringence produced under constrained quenching has been investigated experimentally. In constrained quenched samples a similar pattern but much less stress values than that for the freely quenched samples has been found in the case of the thickness of 1.0 mm. Howvere, in the case of the thickness of 4.0mm, totally different stress profile has been found experimentally. Suprisingly uniform birefringence throughout whole thickness has been found for all the cases of constrained quenching. Finally, to explain the mechanism to produce the final residual stresses and bire-fringence some preliminary numerical results including free volume theory have been introduced briefly.

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Investigation of nonlinear free vibration of FG-CNTRC cylindrical panels resting on elastic foundation

  • J.R. Cho
    • Structural Engineering and Mechanics
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    • 제88권5호
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    • pp.439-449
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    • 2023
  • Non-linear vibration characteristics of functionally graded CNT-reinforced composite (FG-CNTRC) cylindrical shell panel on elastic foundation have not been sufficiently examined. In this situation, this study aims at the profound numerical investigation of the non-linear vibration response of FG-CNTRC cylindrical panels on Winkler-Pasternak foundation by introducing an accurate and effective 2-D meshfree-based non-linear numerical method. The large-amplitude free vibration problem is formulated according to the first-order shear deformation theory (FSDT) with the von Karman non-linearity, and it is approximated by Laplace interpolation functions in 2-D natural element method (NEM) and a non-linear partial derivative operator HNL. The complex and painstaking numerical derivation on the curved surface and the crucial shear locking are overcome by adopting the geometry transformation and the MITC3+ shell elements. The derived nonlinear modal equations are iteratively solved by introducing a three-step iterative solving technique which is combined with Lanczos transformation and Jacobi iteration. The developed non-linear numerical method is estimated through the benchmark test, and the effects of foundation stiffness, CNT volume fraction and functionally graded pattern, panel dimensions and boundary condition on the non-linear vibration of FG-CNTRC cylindrical panels on elastic foundation are parametrically investigated.

Free vibration of sandwich micro-beam with porous foam core, GPL layers and piezo-magneto-electric facesheets via NSGT

  • Mohammadimehr, Mehdi;Firouzeh, Saeed;Pahlavanzadeh, Mahsa;Heidari, Yaser;Irani-Rahaghi, Mohsen
    • Computers and Concrete
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    • 제26권1호
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    • pp.75-94
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    • 2020
  • The aim of this research is to investigate free vibration of a novel five layer Timoshenko microbeam which consists of a transversely flexible porous core made of Al-foam, two graphen platelets (GPL) nanocomposite reinforced layers to enhance the mechanical behavior of the structure as well as two piezo-magneto-electric face sheets layers. This microbeam is subjected to a thermal load and resting on Pasternak's foundation. To accomplish the analysis, constitutive equations of each layer are derived by means of nonlocal strain gradient theory (NSGT) to capture size dependent effects. Then, the Hamilton's principle is employed to obtain the equations of motion for five layer Timoshenko microbeam. They are subsequently solved analytically by applying Navier's method so that discretized governing equations are determined in form of dynamic matrix giving the possibility to gain the natural frequencies of the Timoshenko microbeam. Eventually, after a validation study, the numerical results are presented to study and discuss the influences of various parameters such as nonlocal parameter, strain gradient parameter, aspect ratio, porosity, various volume fraction and distributions of graphene platelets, temperature change and elastic foundation coefficients on natural frequencies of the sandwich microbeam.

Free vibration analysis of FG plates under thermal environment via a simple 4-unknown HSDT

  • Attia, Amina;Berrabah, Amina Tahar;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Steel and Composite Structures
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    • 제41권6호
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    • pp.899-910
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    • 2021
  • A 4-unknown shear deformation theory is applied to investigate the vibration of functionally graded plates under thermal environment. The plate is fabricated from a functionally graded material mixed of ceramic and metal with continuously varying material properties through the plate thickness. Three types of thermal loadings, uniform, linear and nonlinear temperature rises along the plate thickness are taken into account. The present theory contains four unknown functions as against five or more in other higher order shear deformation theories. The through-the-thickness distributions of transverse shear stresses of the plate are considered to vary parabolically and vanish at upper and lower surfaces. The present model does not require any problem dependent shear correction factor. Analytical solutions for the free vibration analysis are derived based on Fourier series that satisfy the boundary conditions (Navier's method). Benchmark solutions are firstly considered to evaluate the accuracy of the proposed model. Comparisons with the solutions available in literature revealed the good capabilities of the present model for the simulations of vibration responses of FG plates. Some parametric studies are carried out for the frequency analysis by varying the volume fraction profile and the temperature distribution across the plate thickness.

윤곽선을 이용한 다중해상도적 복원 (Multiresolutional Reconstruction from Contours)

  • 민경하;이인권
    • 한국정보과학회논문지:시스템및이론
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    • 제30권11호
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    • pp.629-654
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    • 2003
  • 본 논문에서는 윤곽선들의 집합으로부터 다각형 곡면을 복원하는 다중해상도적 방법을 제안한다. 그 방법의 첫 단계에서는 방사 조사법을 적용해서 체적 데이타로부터 추출된 여러 장의 영상들로부터 윤곽선을 추출한다. 그리고 이 윤곽선을 구성하는 선분들의 유형들을 분류한 다음, 이를 이용해서 윤곽선을 context-free 문법으로 표현하는 방법을 제시한다. 두 번째 단계에서는 이웃하는 두 윤곽선들 사이에 다각형들을 생성하는 것으로, 이를 위하여 context-free 문법의 유도 트리를 검색함으로써 두 윤곽선들 사이에서 서로 대응되는 꼭지점과 선분을 찾는 방법을 제시한다. 이러한 단계를 거쳐서 생성된 가장 낮은 해상도의 다각형 곡면은 각 윤곽선을 세분화함으로써 더 높은 해상도의 다각형 곡면으로 세분화된다. 여기서 윤곽선은 각 영상에서 더 많은 광선을 방사함으로써 세분화된다. 본 연구에서는 방사 조사법을 이용해서 추출된 다양한 해상도의 윤곽선들의 연결도가 일정하게 유지됨을 이용해서 다양한 해상도의 다각형 곡면들의 연결도는 일정하게 유지됨을 보장한다. 제안된 방법은 효율적인 복원과 복원된 물체의 외형적인 특징을 보장하는 압축 방법을 제공한다.

지수 및 멱 법칙 점진기능재료 판의 3차원 자유진동해석 (3-D Free Vibration Analysis of Exponential and Power-law Functionally Graded Material(FGM) Plates)

  • 이원홍;한성천;안진희;박원태
    • 한국전산구조공학회논문집
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    • 제28권5호
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    • pp.553-561
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    • 2015
  • 지수 함수 및 멱 법칙 함수를 이용한 점진기능재료(FGM) 판의 전단 및 두께 방향 변형을 고려한 이론을 정식화하여 동적 평형방정식을 유도하였다. 지수 함수 및 멱 법칙 함수는 두께 방향으로 재료의 변화를 고려할 수 있고 3차원 해석방법은 전단 및 두께 방향 변형을 고려함으로써 점진기능재료의 정확한 구조적 특성을 고려할 수 있다. Pasternak탄성지반 위에 놓인 4변이 단순 지지되고 전단 및 두께 방향 변형이 고려된 점진기능재료 판의 지배방정식을 풀기 위해 Navier 방법을 사용하였다. 거듭제곱 지수와 3차원 해석의 효과를 나타내기 위한 지수 및 멱 법칙 점진기능재료 판의 동적 해석결과를 제시하였다. 기존의 2차원 고차전단변형 이론 및 3차원 이론과의 관계를 수치해석 결과를 통하여 고찰하였다. 또한 (i) 거듭제곱 지수, (ii) 폭-두께 비, 그리고 (iii) 탄성지반 계수, 등이 점진기능재료 판의 자유진동수에 미치는 효과에 대하여 관찰하였다. 본 연구의 결과를 검증하기 위해 참고문헌의 결과들과 비교 분석하였다.