• 제목/요약/키워드: continuum structures

검색결과 208건 처리시간 0.026초

Mechanical behaviors of piezoelectric nonlocal nanobeam with cutouts

  • Eltaher, Mohamed A.;Omar, Fatema-Alzahraa;Abdraboh, Azza M.;Abdalla, Waleed S.;Alshorbagy, Amal E.
    • Smart Structures and Systems
    • /
    • 제25권2호
    • /
    • pp.219-228
    • /
    • 2020
  • This work presents a modified continuum model to explore and investigate static and vibration behaviors of perforated piezoelectric NEMS structure. The perforated nanostructure is modeled as a thin perforated nanobeam element with Euler-Bernoulli kinematic assumptions. A size scale effect is considered by included a nonlocal constitutive equation of Eringen in differential form. Modifications of geometrical parameters of perforated nanobeams are presented in simplified forms. To satisfy the Maxwell's equation, the distribution of electric potential for the piezoelectric nanobeam model is assumed to be varied as a combination of a cosine and linear functions. Hamilton's principle is exploited to develop mathematical governing equations. Modified numerical finite model is adopted to solve the equation of motion and equilibrium equation. The proposed model is validated with previous respectable work. Numerical investigations are presented to illustrate effects of the number of perforated holes, perforation size, nonlocal parameter, boundary conditions, and external electric voltage on the electro-mechanical behaviors of piezoelectric nanobeams.

Elastic properties of CNT- and graphene-reinforced nanocomposites using RVE

  • Kumar, Dinesh;Srivastava, Ashish
    • Steel and Composite Structures
    • /
    • 제21권5호
    • /
    • pp.1085-1103
    • /
    • 2016
  • The present paper is aimed to evaluate and compare the effective elastic properties of CNT- and graphene-based nanocomposites using 3-D nanoscale representative volume element (RVE) based on continuum mechanics using finite element method (FEM). Different periodic displacement boundary conditions are applied to the FEM model of the RVE to evaluate various elastic constants. The effects of the matrix material, the volume fraction and the length of reinforcements on the elastic properties are also studied. Results predicted are validated with the analytical and/or semiempirical results and the available results in the literature. Although all elastic stiffness properties of CNT- and graphene-based nanocomposites are found to be improved compared to the matrix material, but out-of-plane and in-plane stiffness properties are better improved in CNT- and graphene-based nanocomposites, respectively. It is also concluded that long nanofillers (graphene as well as CNT) are more effective in increasing the normal elastic moduli of the resulting nanocomposites as compared to the short length, but the values of shear moduli, except $G_{23}$ of CNT nanocomposite, of nanocomposites are slightly improved in the case of short length nanofillers (i.e., CNT and graphene).

POSITIONAL COINCIDENCE BETWEEN WATER MASERS AND A PLASMA TORUS IN NGC 1052

  • SAWADA-SATOH SATOKO;KAMENO SEIJI;SHIBATA KATSUNORI M.;INOUE MAKOTO
    • 천문학회지
    • /
    • 제38권2호
    • /
    • pp.183-186
    • /
    • 2005
  • We present results of the VLBA observation toward the radio continuum and water maser emissions in a nearby LINER galaxy NGC 1052. The jet structure observed in 2000 is similar to that in 1998, and the two jet structures in 1998 and 2000 support the sub-luminal motion with apparent velocity of 0.26c. Distribution of water maser spots are located ${\~}$0.05 pc shifted to southwest from the component which is supported to be the nucleus, and no rapid positional change of the water maser gas with respect to the central engine is seen from 1995 to 2000. The maser gas is positionally coincident with a plasma torus, and the position of the maser gas relative to the nucleus is stable from 1995 to 2000. The maser gas in NGC 1052 could be explained to be associated with the nuclear circumnuclear torus or disk like the situation found in the nucleus of NGC 4258.

비선형 열탄성 연성구조의 위상 최적설계 (Topology Design Optimization of Nonlinear Thermo-elastic Structures)

  • 문민영;장홍래;김민근;조선호
    • 한국전산구조공학회논문집
    • /
    • 제23권5호
    • /
    • pp.535-541
    • /
    • 2010
  • 본 연구에서는 정상상태의 비선형 열탄성 문제에 대하여 탄성 계수 및 열전도 계수에 대해서 보조변수법을 이용한 연속체 기반의 설계민감도 방정식을 유도하였고, 온도와 변위장이 연성된 보조방정식을 정의하여 효율적으로 설계민감도 해석을 수행하여 위상 최적설계에 적용하였다. 수치 예제를 통하여 열탄성 문제에서 위상 최적설계가 갖는 요소망 의존성을 살펴보았다. 또한 열 하중이 지배적인 경우와 기계적 하중이 지배적인 경우를 비교하여 다중 물리 연성문제에서 위상 최적설계가 갖는 하중에 대한 의존성을 고찰하였다.

도시공간에서의 경험 - 인지맵 접근방식 - (Experiencing the Urban Space - A Cognitive Mapping Approach -)

  • 리카르도 가르시아 미라;아디나 두미트루
    • 한국주거학회논문집
    • /
    • 제25권2호
    • /
    • pp.63-70
    • /
    • 2014
  • The dependence on cars for urban mobility and the exponential increase in traffic and urban infrastructure to sustain traffic have lead to an encapsulated way of life, where the connection with the natural environment is much more reduced and programmed. In a previous study, a process based on estimating distances showed that children who move around their city by automobile do not appreciate their environment as a spatial continuum, but rather as a series of independent spaces that are reached by automobile or bus, thereby evidencing a different way of conceptualizing urban space in the light of different cognitive structures (Goluboff, Garc$\acute{i}$a-Mira, and Garc$\acute{i}$a-Font$\acute{a}$n, 2002). The present study is concerned with the process of understanding and knowledge of urban space, and contrasting the cognitive structure of different groups. The implications that this study may have for urban planning are discussed.

가는 막대의 물리기반 실시간 시뮬레이션 (Physics-Based Real-Time Simulation of Thin Rods)

  • 최민규
    • 한국컴퓨터그래픽스학회논문지
    • /
    • 제16권2호
    • /
    • pp.1-7
    • /
    • 2010
  • 본 논문에서는 큰 회전 변형이 일어나는 가는 막대를 실시간에 시뮬레이션하는 기법을 제안한다. 가는 막대는 로프나 머리카락과 같이 일차원적인 구조를 표현하는데 널리 사용될 수 있다. 시각적으로 사실적인 가는 막대의 애니메이션을 실시간에 생성하는 것은 컴퓨터 그래픽스분야에서 오랫동안 주요한 도전 과제였다. 본 논문에서는 연속체 역학에 기반한 지배방정식을 세우고 이를 실시간에 적분하는 가는 막대구조를 위한 모달와핑기법을 개발한다. 이와같은 새로운 시뮬레이션 기법은 삼차원 솔리드를 위해 개발된 종전의 모달 와핑 기법을 확장한 것이다. 본 논문에서 제안한 방법은 매우 많은 정점으로 이루어진 가는 막대 구조의 큰 휨과 꼬임변형도 실시간에 사실적으로 생성할 수 있다.

Modeling of Mechanical Properties of Concrete Mixed with Expansive Additive

  • Choi, Hyeonggil;Noguchi, Takafumi
    • International Journal of Concrete Structures and Materials
    • /
    • 제9권4호
    • /
    • pp.391-399
    • /
    • 2015
  • This study modeled the compressive strength and elastic modulus of hardened cement that had been treated with an expansive additive to reduce shrinkage, in order to determine the mechanical properties of the material. In hardened cement paste with an expansive additive, hydrates are generated as a result of the hydration between the cement and expansive additive. These hydrates then fill up the pores in the hardened cement. Consequently, a dense, compact structure is formed through the contact between the particles of the expansive additive and the cement, which leads to the manifestation of the strength and elastic modulus. Hence, in this study, the compressive strength and elastic modulus were modeled based on the concept of the mutual contact area of the particles, taking into consideration the extent of the cohesion between particles and the structure formation by the particles. The compressive strength of the material was modeled by considering the relationship between the porosity and the distributional probability of the weakest points, i.e., points that could lead to fracture, in the continuum. The approach used for modeling the elastic modulus considered the pore structure between the particles, which are responsible for transmitting the tensile force, along with the state of compaction of the hydration products, as described by the coefficient of the effective radius. The results of an experimental verification of the model showed that the values predicted by the model correlated closely with the experimental values.

Chemical Differentiation of CS and N2H+ in Starless Dense Cores

  • Kim, Shinyoung;Lee, Chang Won;Sohn, Jungjoo;Kim, Gwanjeong;Kim, Mi-Ryang
    • 천문학회보
    • /
    • 제43권1호
    • /
    • pp.45.2-45.2
    • /
    • 2018
  • CS molecule is known to be adsorbed onto dust in cold dense cores, causing its significant depletion in the center region of cores. This study is aimed to investigate the depletion of CS molecule with optically thin $C^{34}S$ molecular line observations, including significance of its differentiation depending on the evolutionary status of the dense cores. We mapped five evolved starless cores, L1544, L1552, L1689B, L694-2 and L1197 using two molecular lines, $C^{34}S$ (J=2-1) and $N_2H^+$ (J=1-0) with NRO 45 m telescope. The $H^2$ column density and temperature structures of each targets were obtained by SED fitting for Herschel continuum images and the internal number density profiles by model fitting. All of the integrated intensity maps of $C^{34}S$ show depletion holes and 'semi-ring-like' distribution, indicating that the depletion of CS is clear and general. The radial profiles of CS abundance also show significant decrease towards the core center, while $N_2H^+$ abundance is almost constant or enhanced. We find that the more evolved cores with higher $H^2$ density tend to have a stronger depletion of CS. Our data strongly support claims that CS molecule generally depletes out in the central regions of starless dense cores and such chemical differentiation is closely related to their evolution.

  • PDF

2차원(次元) 보 유한요소(有限要素) 비선형(非線型) 해석(解析) (A Nonlinear Analysis of Two-Dimensional Beam Finite Elements)

  • 신영식
    • 대한토목학회논문집
    • /
    • 제4권3호
    • /
    • pp.53-61
    • /
    • 1984
  • 본(本) 연구(硏究)에서는 2차원(次元) 탄성(彈性) 뼈대 구조물(構造物)의 기하학적(幾何學的) 비선형(非線型) 해석(解析)을 위하여 Total Lagrangian 방법(方法)에 의한 보 유한요소(有限要素)(NB6)의 Formulation을 보여주고 있다. 이 보 요소(要素)는 3 차원(次元) 연속체(連續體)로부터 깊은 보 가정(假定) 이용(利用)하여 유도(誘導)되며 3개(個)의 기준절점(基準節點)과 3개(個)의 상대절점(相對節點)으로 이루어진다. 보의 운동방정식(運動方程式)은 Galerkin의 가중잔차법(加重殘差法)으로 Discretization 되며 요소강도(要素剛度) 및 질량(質量)매트릭스는 Newton-Raphson 방법(方法)으로 해하중(每荷重) 단계(段階)마다 반복계산(反復計算)되어 감소적분법(減少積分法)으로 구해진다. 본(本) 연구(硏究)에서 제안(提案)되는 NB6 비선형(非線形) 보 요소(要素) 정확도(正確度)와 효율성(效率性) 고찰(考察)하기 위하여 몇 가지 예제(例題) 해석(解析)하였다.

  • PDF

Behavior of circular thin-walled steel tube confined concrete stub columns

  • Ding, Fa-xing;Tan, Liu;Liu, Xue-mei;Wang, Liping
    • Steel and Composite Structures
    • /
    • 제23권2호
    • /
    • pp.229-238
    • /
    • 2017
  • This paper presents a combined numerical and theoretical study on the composite action between steel and concrete of circular steel tube confined concrete (STCC) stub columns under axial compressive loading with a full theoretical elasto-plastic model and finite element (FE) model in comparison with experimental results. Based on continuum mechanics, the elasto-plastic model for STCC stub columns was established and the analysis was realized by a FORTRAN program and the three dimensional FE model was developed using ABAQUS. The steel ratio of the circular STCC columns were defined in range of 0.5% to 2% to analyze the composite action between steel tube and concrete, and make a further study on the advantages of the circular STCC columns. By comparing the results using the elasto-plastic methods with the parametric analysis result of FE model, the appropriate friction coefficient between the steel tube and core concrete was defined as 0.4 to 0.6. Based on ultimate balance theory, the formula of ultimate load capacity applying to the circular STCC stub columns was developed.