• 제목/요약/키워드: von Karman

검색결과 186건 처리시간 0.024초

Progressive failure of symmetric laminates under in-plane shear: Il-Negative shear

  • Singh, S.B.;Kumar, Ashwini;Iyengar, N.G.R.
    • Structural Engineering and Mechanics
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    • 제6권7호
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    • pp.757-772
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    • 1998
  • The objective of the present work is to estimate the strength and failure characteristics of symmetric thin square laminates under negative shear load. Two progressive failure analyses, one using the Hashin criterion and the other using a Tensor polynomial criterion, are used in conjunction with the finite element method. First-order shear-deformation theory along with geometric nonlinearity in the von Karman sense has been incorporated in the finite element modeling. Failure loads, associated maximum transverse displacements, locations and modes of failure including the onset of delamination are discussed in detail; these are found to be quite different from those for the positive sheer load reported in Part I of this study (Singh et al. 1998).

p-Version 비선형 해석에 의한 팻취보강된 RC구조물의 극한강도 산정 (Ultimate Load of RC Structures Bonded with the Soffit Plate by p-Version Nonlinear Analysis)

  • 안재석;박진환;홍종현;우광성
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 봄 학술발표회 논문집
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    • pp.365-372
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    • 2004
  • A new finite element model will be presented to analyze the nonlinear behavior of not only RC beams and slabs, but also RC beams strengthened by a patch repair. The numerical approach is based on the p-version degenerate shell element including theory of anisotropic laminated composites, theory of materially and geometrically nonlinear plates. In the nonlinear formulation of this model, the total Lagrangian formulation is adopted with large deflections and moderate rotations being accounted for in the sense of von Karman hypothesis. The material model is based on hardening rule, crushing condition, plate-end debonding strength model and so on. The Gauss-Lobatto numerical quadrature is applied to calculate the stresses at the nodal points instead of Gauss points. The validity of the proposed p-version finite element model is demonstrated through several numerical examples for the load-deflection curves, the ultimate loads, and the failure modes of reinforced connote slabs and RC beams bonded with steel plates or FRP plates compared with available experimental and numerical results.

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Nonlinear stability of non-axisymmetric functionally graded reinforced nano composite microplates

  • Loghman, Abbas;Arani, Ali Ghorbanpour;Barzoki, Ali Akbar Mosallaie
    • Computers and Concrete
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    • 제19권6호
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    • pp.677-687
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    • 2017
  • The nonlinear buckling response of nano composite anti-symmetric functionally graded polymeric microplate reinforced by single-walled carbon nanotubes (SWCNTs) rested on orthotropic elastomeric foundation with temperature dependent properties is investigated. For the carbon-nanotube reinforced composite (CNTRC) microplate, a uniform distribution (UD) and four types of functionally graded (FG) distribution are considered. Based on orthotropic Mindlin plate theory, von Karman geometric nonlinearity and Hamilton's principle, the governing equations are derived. Generalized differential quadrature method (GDQM) is employed to calculate the non-linear buckling response of the plate. Effects of FG distribution type, elastomeric foundation, aspect ratio (thickness to width ratio), boundary condition, orientation of foundation orthotropy and temperature are considered. The results are validated. It is found that the critical buckling load without elastic medium is significantly lower than considering Winkler and Pasternak medium.

The effect of finite strain on the nonlinear free vibration of a unidirectional composite Timoshenko beam using GDQM

  • Ghasemi, Ahmad Reza;Mohandes, Masood
    • Advances in aircraft and spacecraft science
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    • 제3권4호
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    • pp.379-397
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    • 2016
  • In this manuscript, free vibrations of a unidirectional composite orthotropic Timoshenko beam based on finite strain have been studied. Using Green-Lagrange strain tensor and comprising all of the nonlinear terms of the tensor and also applying Hamilton's principle, equations of motion and boundary conditions of the beam are obtained. Using separation method in single-harmonic state, time and locative variables are separated from each other and finally, the equations of motion and boundary conditions are gained according to locative variable. To solve the equations, generalized differential quadrature method (GDQM) is applied and then, deflection and cross-section rotation of the beam in linear and nonlinear states are drawn and compared with each other. Also, frequencies of carbon/epoxy and glass/epoxy composite beams for different boundary conditions on the basis of the finite strain are calculated. The calculated frequencies of the nonlinear free vibration of the beam utilizing finite strain assumption for various geometries have been compared to von Karman one.

비대칭 복합적층판 의 Warping 해석 (Warping Analysis of Unsymmetric Laminated Composites)

  • 전완주;홍창선
    • 대한기계학회논문집
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    • 제7권4호
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    • pp.404-409
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    • 1983
  • The warping of unsymmetric laminated composites is induced by residual curing stress at the room temperature. Classical lamination theory (C.L.T.) predicts the room temperature shapes of all unsymmetric laminates to be a saddle. Experimental observations, however, indicate some unsymmetric laminated composites have cylindrical room temperature shapes. This anomalous behavior is explained by the extention of C.L.T. which involves Von Karman's large deflection theory. It is shown that, depending on the thickness, width, length, curing temperature and room temperature of the laminate, critical boundaries of the shape change are determined. Theoretical predictions are compared with experimental results of Toray Graphite/Epoxy {O$_{n}$/90$_{n}$}$_{T}$./....

이산와법에 의한 원호형 Sea Anchor의 유동장 수치해석 (Numerical Analysis for Flowfield of a Circular Arc Type Sea Anchor by Discrete Vortex Method)

  • 노기덕;권병국;안희춘
    • 대한기계학회논문집B
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    • 제22권8호
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    • pp.1041-1051
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    • 1998
  • The fluid dynamic properties of a circular arc type sea anchor were calculated by a discrete vortex method. The flow for the surface of the sea anchor was represented by arranging bound vortices at adequate intervals. The simulations were performed by assuming that the separations occur at edges. With time, the drag coefficient was almost constant but the lift coefficient oscillated in a cycle by von Karman's vortex street. As the camber ratios increase, the drag coefficient and Strouhal number were almost constant but the oscillating amplitude of the lift coefficient increased largely.

시간에 따라 변하는 회전 속도와 함께 회전하며 전개하는 보의 진동 분석 (Vibration Analysis of a Deploying and Spinning Beam with a Time-dependent Spinning Speed)

  • 주극비;정진태
    • 한국소음진동공학회논문집
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    • 제25권12호
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    • pp.874-880
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    • 2015
  • This paper presents the vibration analysis of a deploying beam with spin when the beam has a time-dependent spinning speed. In the previous studies for the deploying beams with spin, the spinning speed was time-independent. However, it is more reasonable to consider the time-dependent spinning speed. The present study introduces the time-dependent spinning speed in the modeling. The Euler-Bernoulli beam theory and von Karman nonlinear strain theory are used together to derive the equations of motion. After the equations of motion are transformed into the weak forms, the weak forms are discretized. The natural frequency and dynamic response are obtained. The effect of the time-dependent spinning speed on the dynamic response is studied.

Iterative Analysis for Nonlinear Laminated Rectangular Plates by Finite Difference Method

  • Kim, Chi Kyung
    • International Journal of Safety
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    • 제1권1호
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    • pp.13-17
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    • 2002
  • A new system of equations governing the nonlinear thin laminated plates with large deflections using von Karman equations is derived. The effects of transverse shear in the thin interlayer are included as part of the analysis. The finite difference method is used to perform the geometrically nonlinear behavior of the plate. The resultant equations permit the analysis of the effect of transverse shear stress deformation on the overall behavior of the interlayer using the load incremental method. For the purpose of feasibility and validity of this present method, the numerical results are compared with other available solutions for accuracy as well as efficiency. The solution techniques have been implemented and the numerical results of example problem are discussed and evaluated.

변동 풍·파랑하중에 대한 플로팅 건물의 시간이력응답

  • 박태준;채지용;이영욱
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2015년도 춘계학술대회
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    • pp.220-221
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    • 2015
  • 플로팅 건물의 변동 풍하중에 대한 시간이력응답을 통한 유효 Sampling의 영향을 분석하기 위하여 200개 풍 파랑 하중조합을 통해 시간이력 동수역학 해석을 수행하여, 유효 표본 Sampling을 선정하여 상부구조물의 고유주기를 변화하여 부분구조해석을 수행하였다. 풍하중은 평균 속력 35m/sec을 가진 von Karman의 변동풍속 파워스펙트럼으로 계산하여 입력하였고 입력 파랑은 Pierson-Moskowitz 스펙트럼으로 계산하여 파고 0.5m에 대하여 입력하였다. 각기 다른 고유주기를 가진 상부 구조물에 대하여 7개 그룹의 하중조합에 대한 유효 Sampling을 선정하여 SRSS와 평균값을 계산하였다. 해석 결과, 최소 7개 이상의 Sampling에 대한 해석이 요구되며 전반적으로 30개 Sampling을 통한 해석이 적절하다고 분석되었다.

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비전통적 오차 최소화 방식에 기초한 비선형 빔의 휨에 대한 혼합형 유한요소해석 모델 연구 (A Study on the Mixed Finite Element Models of Nonlinear Beam Bending Based on the Unconventional Residual Minimizing Method)

  • 김우람;최윤대
    • 한국군사과학기술학회지
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    • 제12권6호
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    • pp.785-795
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    • 2009
  • In this paper, new type of finite element models for the analysis of nonlinear beam bending are developed by using unconventional residual minimizing method to increase accuracy of finite element solutions and overcome some of computational drawbacks. Developing procedures of the new models are presented along with the comparison of the numerical results of existing beam bending models.