• 제목/요약/키워드: assumed strain method

검색결과 255건 처리시간 0.024초

유한차분법을 이용한 전단변형형 강가새 구조물의 탄소성 거동에 관한 연구 (Elasto-Plastic Behavior of Shear-Deformed Steel Braced Frame Using Finite Difference Method)

  • 박일민
    • 한국전산구조공학회논문집
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    • 제14권4호
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    • pp.445-454
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    • 2001
  • 본 연구는 전단변형형 강가새 골조의 탄소성 거동에 관한 연구로서 강가새 골조의 종류로는 X형 및 K형이며, 각 종류별 주 변수는 세장비로 되어있다. 재료의 응력도-변형도 관계는 변형경화현상을 고려한 Tri-linear형 모델을 사용하였다. 또한, 하중-변위 관계는 유한차분법을 이용하여 해석하였다. 하중-변위관계에 관하여 탄성구배 및 최대하중에 관하여 해석결과치와 실험결과치를 비교하였고, 그 비는 약 10%내외의 오차를 보임에 따라 본 논문에서 제안한 해석법은 합리적임을 나타내었다.

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A semi-analytical mesh-free method for 3D free vibration analysis of bi-directional FGP circular structures subjected to temperature variation

  • Shamshirsaz, Mahnaz;Sharafi, Shahin;Rahmatian, Javad;Rahmatian, Sajad;Sepehry, Naserodin
    • Structural Engineering and Mechanics
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    • 제73권4호
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    • pp.407-426
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    • 2020
  • In this present paper, a semi-analytical mesh-free method is employed for the three-dimensional free vibration analysis of a bi-directional functionally graded piezoelectric circular structure. The dependent variables have been expanded by Fourier series with respect to the circumferential direction and have been discretized through radial and axial directions based on the mesh-free shape function. The current approach has a distinct advantage. The nonlinear Green-Lagrange strain is employed as the relationship between strain and displacement fields to observe thermal impacts in stiffness matrices. Nevertheless, high order terms have been neglected at the final steps of equations driving. The material properties are assumed to vary continuously in both radial and axial directions simultaneously in accordance with a power law distribution. The convergence and validation studies are conducted by comparing our proposed solution with available published results to investigate the accuracy and efficiency of our approach. After the validation study, a parametric study is undertaken to investigate the temperature effects, different types of polarization, mechanical and electric boundary conditions and geometry parameters of structures on the natural frequencies of functionally graded piezoelectric circular structures.

An improved modal strain energy method for structural damage detection, 2D simulation

  • Moradipour, Parviz;Chan, Tommy H.T.;Gallag, Chaminda
    • Structural Engineering and Mechanics
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    • 제54권1호
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    • pp.105-119
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    • 2015
  • Structural damage detection using modal strain energy (MSE) is one of the most efficient and reliable structural health monitoring techniques. However, some of the existing MSE methods have been validated for special types of structures such as beams or steel truss bridges which demands improving the available methods. The purpose of this study is to improve an efficient modal strain energy method to detect and quantify the damage in complex structures at early stage of formation. In this paper, a modal strain energy method was mathematically developed and then numerically applied to a fixed-end beam and a three-story frame including single and multiple damage scenarios in absence and presence of up to five per cent noise. For each damage scenario, all mode shapes and natural frequencies of intact structures and the first five mode shapes of assumed damaged structures were obtained using STRAND7. The derived mode shapes of each intact and damaged structure at any damage scenario were then separately used in the improved formulation using MATLAB to detect the location and quantify the severity of damage as compared to those obtained from previous method. It was found that the improved method is more accurate, efficient and convergent than its predecessors. The outcomes of this study can be safely and inexpensively used for structural health monitoring to minimize the loss of lives and property by identifying the unforeseen structural damages.

콘크리트의 연화거동에 관한 수치해석 (Numerical Analysis on the Softening Behavior of Concrete)

  • 진치섭;엄장섭;김희성;배문교
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1992년도 가을 학술발표회 논문집
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    • pp.173-178
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    • 1992
  • Ficticious Crack Model(FCM) is one of the Nonlinear Analysis Method which is presented strictly strain softening phenomena of concrete in the fracture zone. As no stress singularities occur, it is not necessary to use special crack tip elements for this analysis. A special feature of the used method is that it explains not only the growth of existing cracks, but also the formation of new crack, as it is assumed that cracks start forming when the tensile stress reaches ft, i, e the same criterion is used for formation and propagation of cracks.

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순수열림모드에서 콘크리트보의 균열전파에 관한 연구 (A Study on the Crack Propagation of Concrete Beam)

  • 진치섭;엄장섭;김희성
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1991년도 가을 학술발표회 논문집
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    • pp.113-118
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    • 1991
  • Fictitious Crack Model(FCM) is one of the Nonlinear Analysis Method which is presented strictly strain softening phenomena of concrete in the fracture zone. As no stress singularities occur, it is not necessary to use special crack tip elements for this analysis. A special feature of the used method is that it explains not only the growth of existing cracks, but aslo the formation of new crack, as it is assumed that cracks start forming when the tensile stress reaches ft, i.e., the same criterion is used for formation and propagation of cracks.

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Nonlinear vibration of functionally graded nano-tubes using nonlocal strain gradient theory and a two-steps perturbation method

  • Gao, Yang;Xiao, Wan-Shen;Zhu, Haiping
    • Structural Engineering and Mechanics
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    • 제69권2호
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    • pp.205-219
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    • 2019
  • This paper analyzes nonlinear free vibration of the circular nano-tubes made of functionally graded materials in the framework of nonlocal strain gradient theory in conjunction with a refined higher order shear deformation beam model. The effective material properties of the tube related to the change of temperature are assumed to vary along the radius of tube based on the power law. The refined beam model is introduced which not only contains transverse shear deformation but also satisfies the stress boundary conditions where shear stress cancels each other out on the inner and outer surfaces. Moreover, it can degenerate the Euler beam model, the Timoshenko beam model and the Reddy beam model. By incorporating this model with Hamilton's principle, the nonlinear vibration equations are established. The equations, including a material length scale parameter as well as a nonlocal parameter, can describe the size-dependent in linear and nonlinear vibration of FGM nanotubes. Analytical solution is obtained by using a two-steps perturbation method. Several comparisons are performed to validate the present analysis. Eventually, the effects of various physical parameters on nonlinear and linear natural frequencies of FGM nanotubes are analyzed, such as inner radius, temperature, nonlocal parameter, strain gradient parameter, scale parameter ratio, slenderness ratio, volume indexes, different beam models.

에너지법에 의한 축대칭 디프드로잉의 해석 (An Analysis of Axisymmetric Deep Drawing by the Energy Method)

  • 양동열;이항수
    • 대한기계학회논문집
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    • 제17권1호
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    • pp.51-61
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    • 1993
  • 본 연구에서는 에너지법으로 축대칭 박판성형 공정을 해석할 때, Lee와 Yang 이 제안한 방법을 적용함에 있어 굽힘효과를 효과적으로 고려할 수 있는 방법을 제안 하고 축대칭 컵드로잉 공정을 해석하여 본 이론의 타당성을 입증하고자 한다. 굽힘 효과는 박판소재를 몇개의 층(layer)으로 나눈 뒤, 각 층에서 소비되는 변형에너지를 합하여 전체 에너지를 최소화시킴으로써 고려하였다. 해석시 펀치 목부분과 다이목 부분에서의 접촉압력은 각각 균일한 분포를 갖는 것으로 가정하였다. 본 이론의 타 당성을 입증하기 위하여 계산결과를 실험치 및 탄소성 유한요소해석 결과와 비교하였 다.

Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter

  • Houari, Mohammed Sid Ahmed;Bessaim, Aicha;Bernard, Fabrice;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Steel and Composite Structures
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    • 제28권1호
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    • pp.13-24
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    • 2018
  • A size-dependent novel hyperbolic shear deformation theory of simply supported functionally graded beams is presented in the frame work of the non-local strain gradient theory, in which the stress accounts for only the nonlocal strain gradients stress field. The thickness stretching effect (${\varepsilon}_z{\neq}0$) is also considered here. Elastic coefficients and length scale parameter are assumed to vary in the thickness direction of functionally graded beams according to power-law form. The governing equations are derived using the Hamilton principle. The closed-form solutions for exact critical buckling loads of nonlocal strain gradient functionally graded beams are obtained using Navier's method. The derived results are compared with those of strain gradient theory.

Dynamic response of size-dependent porous functionally graded beams under thermal and moving load using a numerical approach

  • Fenjan, Raad M.;Ahmed, Ridha A.;Faleh, Nadhim M.;Hani, Fatima Masood
    • Structural Monitoring and Maintenance
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    • 제7권2호
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    • pp.69-84
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    • 2020
  • Based on differential quadrature method (DQM) and nonlocal strain gradient theory (NSGT), forced vibrations of a porous functionally graded (FG) scale-dependent beam in thermal environments have been investigated in this study. The nanobeam is assumed to be in contact with a moving point load. NSGT contains nonlocal stress field impacts together with the microstructure-dependent strains gradient impacts. The nano-size beam is constructed by functionally graded materials (FGMs) containing even and un-even pore dispersions within the material texture. The gradual material characteristics based upon pore effects have been characterized using refined power-law functions. Dynamical deflections of the nano-size beam have been calculated using DQM and Laplace transform technique. The prominence of temperature rise, nonlocal factor, strain gradient factor, travelling load speed, pore factor/distribution and elastic substrate on forced vibrational behaviors of nano-size beams have been explored.

스테인레스 304의 열간동적재결정과 미세조직 예측 (The Prediction of Dynamic Recrystallization and Grain Size of 304 Stainless Steel during Hot Deformation)

  • 권영표;조종래;이성열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2000년도 추계학술대회 논문집
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    • pp.25-28
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    • 2000
  • The flow stress of 304 stainless steel during high during hot forming process were determined by conducting hot compression tests at the range of 1273 K-1423 K and 0.05 /s-2.0 /s as these are typical temperature and strain rate in hot forging operation. Based on the observed phenomena, a constitutive model of flow stress was assumed as a function of strain, strain rate, temperature. Dynamic recrystallization was found to be the major softening mechanism with this conditions as previous studies. A finite element analysis was performed to predict the recrystallized volume fraction and the mean grain size in hot compression of 304 stainless steel.

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