• 제목/요약/키워드: Geometrical Nonlinear

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기하 및 재료 비선형을 고려한 셸 부재의 역학적 특성 (Mechanical Characteristics of Shell Members Considering the Geometrical and Material Nonlinearity)

  • 김기태;박범희;김다진;한상을
    • 한국공간구조학회논문집
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    • 제18권4호
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    • pp.31-39
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    • 2018
  • This paper analyse the mechanical characteristics of geometrical and material nonlinearity behavior of cylindrical shell roofs subjected to a concentrated load. The shell elements were modeled using 'NISA2016' software as 3D general shell element and 3D composite shell element. The 3D shell element includes deformation due to bending, membrane, membrane-bending coupling and shear perpendicular to the grain effects is suited for modeling moderately thick or thin general shells and laminated composite shells. And The 3D composite shell element consists of a number of layers of perfectly bonded anisotropic and orthotropic materials. The purpose of this research is to analysis the load-deflection curves considering the combined geometric and material nonlinearity of cylindrical shells. In a shallowed cylindrical shell, snap-through curve can be found.

Folding analysis of reversal arch by the tangent stiffness method

  • Iguchi, Shin-Ichi;Goto, Shigeo;Ijima, Katsushi;Obiya, Hiroyuki
    • Structural Engineering and Mechanics
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    • 제11권2호
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    • pp.211-219
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    • 2001
  • This paper presents the tangent stiffness method for 3-D geometrically nonlinear folding analysis of a reversal arch. Experimental tests are conducted to verify the numerical analysis. The tangent stiffness method can accurately evaluate the geometrical nonlinearity due to the element translating as a rigid body, and the method can exactly handle the large rotation of the element in space. The arch in the experiment is made from a thin flat bar, and it is found that the folding process of the arch may be captured exactly by the numerical analysis with a model consisting of only 18 elements with the same properties.

Thermal buckling behaviour of shear deformable functionally graded single/doubly curved shell panel with TD and TID properties

  • Kar, Vishesh R.;Panda, Subrata K.;Mahapatra, Trupti R.
    • Advances in materials Research
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    • 제5권4호
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    • pp.205-221
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    • 2016
  • In this article, the buckling responses of functionally graded curved (spherical, cylindrical, hyperbolic and elliptical) shell panels under elevated temperature load are investigated numerically using finite element steps. The effective material properties of the functionally graded shell panel are evaluated using Voigt's micromechanical model through the power-law distribution with and without temperature dependent properties. The mathematical model is developed using the higher-order shear deformation theory in conjunction with Green-Lagrange type nonlinear strain to consider large geometrical distortion under thermal load. The efficacy of the proposed model has been checked and the effects of various geometrical and material parameters on the buckling load are analysed in details.

비선형왜곡된 형광안저화상의 보정 (Correction of Ocular Fundus Fluorescein Angiogram in Nonlinear Distortion)

  • 고창림
    • 대한의용생체공학회:의공학회지
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    • 제11권1호
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    • pp.31-38
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    • 1990
  • Image correction of the fluorescein angiogram with the low contrast and geometrically distorted is studied. The procedure is divided into two steps : A template matching step and a geometrical transformation step. Based on the sequential similiarity detection algorithm, more Improved matching results are obtained with edge enhanced image. For the reference points and the corresponding matchimg points, the geometrical transformationss by the use of the average value of the X, Y translational shifts and a pair of these points, respectively are described. Then the corrected images are obtained using bilinear interpolation. It is proven that the usefullness of this study for the image correction of the ocular fundus fluoresceln angiogram with low contrast and geometrically distorted mainly due to the eye movements.

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Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections

  • Ahmed, Ridha A.;Fenjan, Raad M.;Faleh, Nadhim M.
    • Geomechanics and Engineering
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    • 제17권2호
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    • pp.175-180
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    • 2019
  • This research is concerned with post-buckling investigation of nano-scaled beams constructed from porous functionally graded (FG) materials taking into account geometrical imperfection shape. Hence, two types of nanobeams which are perfect and imperfect have been studied. Porous FG materials are classified based on even or uneven porosity distributions. A higher order nonlinear refined beam theory is used in the present research. Both perfect and imperfect nanobeams are formulated based on this refined theory. A detailed study is provided to understand the effects of geometric imperfection, pore distribution, material distribution and small scale effects on buckling of FG nanobeams.

Effects of geometrical parameters on the degree of bending in two-planar tubular DYT-joints of offshore jacket structures

  • Hamid Ahmadi;Mahdi Ghorbani
    • Ocean Systems Engineering
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    • 제13권2호
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    • pp.97-121
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    • 2023
  • Through-the-thickness stress distribution in a tubular member has a profound effect on the fatigue behavior of tubular joints commonly found in steel offshore structures. This stress distribution can be characterized by the degree of bending (DoB). Although multi-planar joints are an intrinsic feature of offshore tubular structures and the multi-planarity usually has a considerable effect on the DoB values at the brace-to-chord intersection, few investigations have been reported on the DoB in multi-planar joints due to the complexity of the problem and high cost involved. In the present research, data extracted from the stress analysis of 243 finite element (FE) models, verified based on available parametric equations, was used to study the effects of geometrical parameters on the DoB values in two-planar tubular DYT-joints. Parametric FE study was followed by a set of nonlinear regression analyses to develop six new DoB parametric equations for the fatigue analysis and design of axially loaded two-planar DYT-joints.

Nonlinear wind-induced instability of orthotropic plane membrane structures

  • Liu, Changjiang;Ji, Feng;Zheng, Zhoulian;Wu, Yuyou;Guo, Jianjun
    • Wind and Structures
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    • 제25권5호
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    • pp.415-432
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    • 2017
  • The nonlinear aerodynamic instability of a tensioned plane orthotropic membrane structure is theoretically investigated in this paper. The interaction governing equation of wind-structure coupling is established by the Von $K\acute{a}rm\acute{a}n's$ large amplitude theory and the D'Alembert's principle. The aerodynamic force is determined by the potential flow theory of fluid mechanics and the thin airfoil theory of aerodynamics. Then the interaction governing equation is transformed into a second order nonlinear differential equation with constant coefficients by the Bubnov-Galerkin method. The critical wind velocity is obtained by judging the stability of the second order nonlinear differential equation. From the analysis of examples, we can conclude that it's of great significance to consider the orthotropy and geometrical nonlinearity to prevent the aerodynamic instability of plane membrane structures; we should comprehensively consider the effects of various factors on the design of plane membrane structures; and the formula of critical wind velocity obtained in this paper provides a more accurate theoretical solution for the aerodynamic stability of the plane membrane structures than the previous studies.

패치로 보강된 구형 복합재료 패널의 후좌굴 거동 및 진동 특성해석 (Post-buckling Behavior and Vibration Characteristics of Patched Reinforced Spherical Composite Panels)

  • 이정진;염찬홍;이인
    • Composites Research
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    • 제14권4호
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    • pp.27-34
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    • 2001
  • 토탈 라그랑지안 방법과 변형율을 가정한 Hellinger-Reissner 원리에 기초한 유한요소법을 이용하여 패치로 보강된 구형 복합재료 쉘의 후좌굴 거동 및 진동 특성을 살펴보았다. 패치 요소는 따로 다른 유한요소를 사용하지 않고 쉘의 중앙면과 다른 기준점을 잡아 두께 변수를 택하여 정식화를 하였다. 비선형 해법으로 원통형 호-길이법을 적용하였고, 후 좌굴 진동은 미소 진폭을 갖는다고 가정하였다. 구형 쉘 패넬에서 패치가 비선형 거동 및 진동수에 미치는 영향을 고찰하였고, 그 결과 패치는 하중지지도를 개선시키킨다. 패치로 보강된 패널의 1차 고유진동수는 등가 패널에 비하여 낮으나, 하중을 받는 경우 1차 고유진동수는 급격히 감소하지 않았다.

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Nonlinear flexural analysis of laminated composite flat panel under hygro-thermo-mechanical loading

  • Kar, Vishesh R.;Mahapatra, Trupti R.;Panda, Subrata K.
    • Steel and Composite Structures
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    • 제19권4호
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    • pp.1011-1033
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    • 2015
  • In this article, large amplitude bending behaviour of laminated composite flat panel under combined effect of moisture, temperature and mechanical loading is investigated. The laminated composite panel model has been developed mathematically by introducing the geometrical nonlinearity in Green-Lagrange sense in the framework of higher-order shear deformation theory. The present study includes the degraded composite material properties at elevated temperature and moisture concentration. In order to achieve any general case, all the nonlinear higher order terms have been included in the present formulation and the material property variations are introduced through the micromechanical model. The nonlinear governing equation is obtained using the variational principle and discretised using finite element steps. The convergence behaviour of the present numerical model has been checked. The present proposed model has been validated by comparing the responses with those available published results. Some new numerical examples have been solved to show the effect of various parameters on the bending behaviour of laminated composite flat panel under hygro-thermo-mechanical loading.

Nonlinear free vibration of FG-CNT reinforced composite plates

  • Mirzaei, Mostafa;Kiani, Yaser
    • Structural Engineering and Mechanics
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    • 제64권3호
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    • pp.381-390
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    • 2017
  • Present paper deals with the large amplitude flexural vibration of carbon nanotube reinforced composite (CNTRC) plates. Distribution of CNTs as reinforcements may be uniform or functionally graded (FG). The equivalent material properties of the composite media are obtained according to a refined rule of mixtures which contains efficiency parameters. To account for the large deformations, von $K{\acute{a}}rm{\acute{a}}n$ type of geometrical nonlinearity is included into the formulation. The matrix representation of the governing equations is obtained according to the Ritz method where the basic shape functions are written in terms of the Chebyshev polynomials. Time dependency of the problem is eliminated by means of the Galerkin method and the resulting nonlinear eigenvalue problem is solved employing a direct displacement control approach. Results are obtained for completely clamped and completely simply supported plates. Results are first validated for the especial cases of FG-CNTRC and cross-ply laminated plates. Afterwards, parametric studies are given for FG-CNTRC plates with different boundary conditions. It is shown that, nonlinear frequencies are highly dependent to the volume fraction and dispersion profiles of CNTs. Furthermore, mode redistribution is observed in both simply supported and clamped FG-CNTRC plates.