• Title/Summary/Keyword: linear elastic analysis

검색결과 760건 처리시간 0.026초

Energy equivalent model in analysis of postbuckling of imperfect carbon nanotubes resting on nonlinear elastic foundation

  • Mohamed, Nazira;Eltaher, Mohamed A.;Mohamed, Salwa A.;Seddek, Laila F.
    • Structural Engineering and Mechanics
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    • 제70권6호
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    • pp.737-750
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    • 2019
  • This paper investigates the static and dynamic behaviors of imperfect single walled carbon nanotube (SWCNT) modeled as a beam structure by using energy-equivalent model (EEM), for the first time. Based on EEM Young's modulus and Poisson's ratio for zigzag (n, 0), and armchair (n, n) carbon nanotubes (CNTs) are presented as functions of orientation and force constants. Nonlinear Euler-Bernoulli assumptions are proposed considering mid-plane stretching to exhibit a large deformation and a small strain. To simulate the interaction of CNTs with the surrounding elastic medium, nonlinear elastic foundation with cubic nonlinearity and shearing layer are employed. The equation governed the motion of curved CNTs is a nonlinear integropartial-differential equation. It is derived in terms of only the lateral displacement. The nonlinear integro-differential equation that governs the buckling of CNT is numerically solved using the differential integral quadrature method (DIQM) and Newton's method. The linear vibration problem around the static configurations is discretized using DIQM and then is solved as a linear eigenvalue problem. Numerical results are depicted to illustrate the influence of chirality angle and imperfection amplitude on static response, buckling load and dynamic behaviors of armchair and zigzag CNTs. Both, clamped-clamped (C-C) and simply supported (SS-SS) boundary conditions are examined. This model is helpful especially in mechanical design of NEMS manufactured from CNTs.

Dynamic response of a linear two d.o.f system visco-elastically coupled with a rigid block

  • Di Egidio, Angelo;Pagliaro, Stefano;Fabrizio, Cristiano;de Leo, Andrea M.
    • Coupled systems mechanics
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    • 제8권4호
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    • pp.351-375
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    • 2019
  • The present work investigates the use of a rigid rocking block as a tool to reduce vibrations in a frame structure. The study is based on a simplified model composed by a 2-DOF linear system, meant to represent a general M-DOF frame structure, coupled with a rocking rigid block through a linear visco-elastic device, which connects only the lower part of the 2-DOF system. The possibility to restrain the block directly to the ground, by means of a second visco-elastic device, is investigated as well. The dynamic response of the model under an harmonic base excitation is then analysed in order to evaluate the effectiveness of the coupling in reducing the displacements and the drift of the 2-DOF system. The nonlinear equations of motion of the coupled assemblage 2-DOF-block are obtained by a Lagrangian approach and then numerically integrated considering some reference mechanical and geometrical quantities as variable parameters. It follows an extensive parametric analysis, whose results are summarized through behaviour maps, which portray the ratio between the maximum displacements and drifts of the system, with and without the coupling with the rigid block, for several combinations of system's parameters. When the ratio of the displacements is less than unity, the coupling is considered effective. Results show that the presence of the rocking rigid block improves the dynamics of the system in large ranges of the characterizing parameters.

Evaluation of limit load analysis for pressure vessels - Part I: Linear and nonlinear methods

  • Chen, Xiaohui;Gao, Bingjun;Wang, Xingang
    • Steel and Composite Structures
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    • 제22권6호
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    • pp.1391-1415
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    • 2016
  • Limit load of pressure bearing structures was reviewed in this article. By means of the finite element analysis, limit load of pressurized cylinder with nozzle was taken as an example. Stress classification method and Elastic-plastic finite element analysis combining with limit load determination methods were used to determine limit load of cylinder with nozzle. Comparison of limit load determined by different methods, the results indicated that limit load determined by linearization method was the smallest. Limit load determined by twice elastic slope criterion was the nearest than experimental results. Elastic-plastic finite element analysis had comparably computational precision, but required time consuming. And then the requirements of computer processing and storage capacity by power system became higher and higher. Most of criteria for limit load estimation included any human factors based on a certain substantive characteristics of experimental results. The reasonable criterion should be objective and operational.

고무 다이아프램의 변형거동 전산해석 (Computer Simulation of Deformation Behavior of the Rubber Diaphragm)

  • 조성도성;김완두
    • Elastomers and Composites
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    • 제35권1호
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    • pp.4-11
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    • 2000
  • 어큐뮬레이터에 사용되는 얇은 막 형태의 고무다이아프램은 외부의 맥동 및 충격압력을 흡수하고 유체의 수송과 압력을 전달하는 역할을 수행하며, 압력 변화에 따른 변형 거동은 어큐뮬레이터의 특성을 결정하는 중요한 설계 변수이다. 고무다이아프램은 고무 자체의 비선형성에 의한 비선형거동과 작은 압력 변화에도 큰 변형을 일으키는 대변형 거동을 나타내며, 임의 압력 이상에서는 고무다이아프램이 변형된 후 용기에 접촉되는 현상이 나타난다. 본 연구에서는 비선형 대변형 해석과 접촉 해석 둥이 용이한 구조해석 소프트웨어인 MARC를 이용하여 두 가지 형상에 대한 고무다이아프램의 거동을 해석하여, 고무 물성 변화와 압력 변화에 따른 변형 거동을 예측하고 파손 취약 부위로 예상되는 다이아프램의 고정 부위에서의 응력을 완화하기 위한 설계 개선 방안을 제시하였다.

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탄성 보 모델을 이용한 탄소나노튜브의 압축거동해석 (Analysis of Single-Walled Carbon Nanotube under Compression using Elastic Beam Model)

  • 박노정;전윤희;박재균
    • 한국전산구조공학회논문집
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    • 제23권5호
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    • pp.567-575
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    • 2010
  • 탄소나노튜브는 기계적 성질이 매우 뛰어나기 때문에 앞으로 많이 이용될 수 있는 신소재이지만 작은 크기와 특별한 성질 때문에 해석에 어려움이 있으며, 분자 동역학이나 범함수 이론을 이용한 전자시뮬레이션은 계산이 어렵고 시간이 오래 걸리는 단점이 있다. 이러한 단점을 극복하기 위하여 원자 사이에 작용하는 힘을 구조 부재로 치환하는 방법을 사용할 수 있다. 본 연구에서는 0.1nm 길이의 탄성 보를 사용하여 나노튜브를 구성하는 원자 사이의 힘을 묘사하고 선형 압축거동을 해석하였다. 선형 거동은 기존의 다른 방법을 사용한 결과와 잘 일치하였으며, 보 요소의 특성이 적절하게 정해질 경우 비선형 거동의 연구에도 이용될 수 있을 것이다.

$L_{1}-B_{4}$ 진동모드를 이용하는 압전 세라믹스의 유한요소 해석 (FEM Analysis on the Characteristics of Piezoelectric Ceramics Using $L_{1}-B_{4}$ Vibration mode)

  • 김범진;정동석;김태열;박태곤;김명호
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2001년도 하계학술대회 논문집
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    • pp.393-397
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    • 2001
  • A linear ultrasonic motor was designed by a combination of the first longitudinal and fourth bending mode, the motor consisted of a straight aluminum alloys bar bonded with a piezoelectric ceramics element as a driving element. That is, L$_1$-B$_4$ linear ultrasonic motor can be constructed using a multi-mode vibrator of longitudinal and bending modes. The simulation with variation of material characteristics of piezoceramic were performed as use of finite element analysis ANSYS 5.5, such as elastic compliance, piezoelectric constant, electro-mechanical coupling coefficient, poisson's ratio and density. The results of simulation, elastic compliance constant s$_{11}$ and piezoelectric constant d$_{31}$ had the most of influence on the elliptic-motion. This results consist with using transverse effect of material. The used motor were piezoceramics of 4 layers, and the dimensions were 65$\times$5$\times$3.5mm(LxWxt).).

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대변형 비선형 탄성재료의 균열길이 예측 (Crack Length Estimation for Large Deformable Non-Linear Elastic Materials)

  • 양경진;강기주;박상서
    • 대한기계학회논문집A
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    • 제24권1호
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    • pp.103-109
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    • 2000
  • A method to measure the crack length in rubbery materials is described. Through dimensional analysis and experiments, an equation is derived to give the crack length as a function of the change of strain energy density in a region remote from the crack. The function is provided in a form of separated terms of loading and material, the validity of which is experimentally proved using separation parameters.

마찰열을 고려한 미끄럼 접촉시 내부 복수 수평균열 전파해석 (Thermoelastic Finite Element Analysis of Double horizontal Subsurface Cracks Due to Sliding Surface Traction)

  • 이진영;김석삼;채영훈
    • Tribology and Lubricants
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    • 제18권3호
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    • pp.219-227
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    • 2002
  • A linear elastic fracture mechanics analysis of double subsurface cracks propagation in a half-space subjected to moving thermomechanical surface traction was performed using the finite element method. The effect of frictional heat at the sliding surface on the crack growth behavior is analyzed in terms of the thermal load and peclet number. The crack propagation direction is predicted in light of the magnitudes of the maximum shear and tensile stress intensity factor ranges. When moving thermomechanical surface traction exists, subsurface horizontal cracks are propagation in-plane crack growth rate at the beginning but they are propagation out-of-plane crack growth rate by the frictional heat which is occurrence by the repeated sliding contact.

Strength of FRP RC sections after long-term loading

  • Pisani, M.A.
    • Structural Engineering and Mechanics
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    • 제15권3호
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    • pp.345-365
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    • 2003
  • The adoption of fibre reinforced polymer (FRP) rebars (whose behaviour is elastic-brittle) in reinforced concrete (RC) cross sections requires the assessment of the influence of time-dependent behaviour of concrete on the load-carrying capacity of these sections. This paper presents a method of computing the load-carrying capacity of sections that are at first submitted to a constant long-term service load and then overloaded up to ultimate load. The method solves first a non-linear visco-elastic problem, and then a non-linear instantaneous analysis up to ultimate load that takes into account the self-equilibrated stress distribution previously computed. This method is then adopted to perform a parametric analysis that shows that creep and shrinkage of concrete increase the load-carrying capacity of the cross section reinforced with FRP and allows for the suggestion of simple design rules.

Numerical simulation of the crack propagation behavior in 3D elastic body

  • Taniguchi, Takeo;Miyaji, Akihiko;Suetsugu, Takeshi;Matsunaga, Shohgo
    • Structural Engineering and Mechanics
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    • 제2권3호
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    • pp.227-244
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    • 1994
  • The purpose of this investigation is to propose a numerical simulation method of the crack propagation behavior in 3-dimensionl elastic body. The simulation method is based on the displacement-type finite element method, and the linear fracture theory is introduced. The results from the proposed method are compared with those from the structural experiments, and the good coincidences between them are shown in this paper. At the same time, 2-dimensional analysis is also done, and the results are compared with those obtained from 3-dimensional analysis and the structural experiments.