• Title/Summary/Keyword: 2D dynamic behavior

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Seismic equivalent linear response of a structure by considering soil-structure interaction: Analytical and numerical analysis

  • Maroua Lagaguine;Badreddine Sbartai
    • Structural Engineering and Mechanics
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    • 제87권2호
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    • pp.173-189
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    • 2023
  • For a given structural geometry, the stiffness and damping parameters of the soil and the dynamic response of the structure may change in the face of an equivalent linear soil behavior caused by a strong earthquake. Therefore, the influence of equivalent linear soil behavior on the impedance functions form and the seismic response of the soil-structure system has been investigated. Through the substructure method, the seismic response of the selected structure was obtained by an analytical formulation based on the dynamic equilibrium of the soil-structure system modeled by an analog model with three degrees of freedom. Also, the dynamic response of the soil-structure system for a nonlinear soil behavior and for the two types of impedance function forms was also analyzed by 2D finite element modeling using ABAQUS software. The numerical results were compared with those of the analytical solution. After the investigation, the effect of soil nonlinearity clearly showed the critical role of soil stiffness loss under strong shaking, which is more complex than the linear elastic soil behavior, where the energy dissipation depends on the seismic motion amplitude and its frequency, the impedance function types, the shear modulus reduction and the damping increase. Excellent agreement between finite element analysis and analytical results has been obtained due to the reasonable representation of the model.

지중공동을 고려한 지반-말뚝-구조물 상호작용계의 지진응답해석 (Seismic Response Analysis of Soil-Pile-Structure Interaction System considering the Underground Cavity)

  • 김민규;임윤묵;김문겸;이종세
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2002년도 춘계 학술발표회 논문집
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    • pp.117-124
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    • 2002
  • The major purpose of this study is to determine the dynamic behavior of soil-pile-structure interaction system considering the underground cavity. For the analysis, a numerical method fur ground response analysis using FE-BE coupling method is developed. The total system is divided into two parts so called far field and near field. The far field is modeled by boundary element formulation using the multi-layered dynamic fundamental solution that satisfied radiational condition of wave. And this is coupled with near field modeled by finite elements. For the verification of dynamic analysis in the frequency domain, both forced vibration analysis and free-field response analysis are performed. The behavior of soil non-linearity is considered using the equivalent linear approximation method. As a result, it is shown that the developed method can be an efficient numerical method to solve the seismic response analysis considering the underground cavity in 2D problem.

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Dynamic analysis of porous functionally graded layered deep beams with viscoelastic core

  • Assie, Amr;Akbas, Seref D.;Kabeel, Abdallah M.;Abdelrahman, Alaa A.;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제43권1호
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    • pp.79-90
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    • 2022
  • In this study, the dynamic behavior of functionally graded layered deep beams with viscoelastic core is investigated including the porosity effect. The material properties of functionally graded layers are assumed to vary continuously through thickness direction according to the power-law function. To investigate porosity effect in functionally graded layers, three different distribution models are considered. The viscoelastically cored deep beam is exposed to harmonic sinusoidal load. The composite beam is modeled based on plane stress assumption. The dynamic equations of motion of the composite beam are derived based on the Hamilton principle. Within the framework of the finite element method (FEM), 2D twelve -node plane element is exploited to discretize the space domain. The discretized finite element model is solved using the Newmark average acceleration technique. The validity of the developed procedure is demonstrated by comparing the obtained results and good agreement is detected. Parametric studies are conducted to demonstrate the applicability of the developed methodology to study and analyze the dynamic response of viscoelastically cored porous functionally graded deep beams. Effects of viscoelastic parameter, porosity parameter, graduation index on the dynamic behavior of porous functionally graded deep beams with viscoelastic core are investigated and discussed. Material damping and porosity have a significant effect on the forced vibration response under harmonic excitation force. Increasing the material viscosity parameters results in decreasing the vibrational amplitudes and increasing the vibration time period due to increasing damping effect. Obtained results are supportive for the design and manufacturing of such type of composite beam structures.

Split Hopkinson Pressure Bar(SHPB)에 의한 고 변형률 재료의 구성방정식 시뮬레이션

  • 이억섭;정주호;김종호
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 추계학술대회 논문집
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    • pp.724-727
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    • 1995
  • Dynamic deformation behavior under the high strain rate loading condition obtained with the aid of Split Hopkinson Pressure Bar(SHPB) technique is simulated by DYNA2D (an hydrodynamic code). A constitutive equation such as Johnson-Cook model is used by adjusting various parameters to fit experimentally determined dynamic stress-strain relationship.

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수치해석을 통한 설치 경사각도에 따른 삼축내진말뚝의 동적 거동특성 (Dynamic Behavior of Triaxial Micropile Under Varying Installation Angle: A Numerical Analysis)

  • 전준서;메론 알레바츄 메코넨;김윤아;김종관;유병수;권태혁;안성율;한진태
    • 한국지반공학회논문집
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    • 제39권11호
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    • pp.41-51
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    • 2023
  • 설치 경사각도에 따른 삼축내진말뚝의 동적 거동 특성을 파악하기 위해 3차원 수치해석을 수행하였다. FLAC3D를 통해 3차원 수치모델을 구축하였으며, 동적 원심모형실험과의 비교를 통해 검증하였다. 수치해석 결과, 경사각도에 따라 말뚝의 동적 거동이 확연히 달라짐을 확인하였다. 실지진파 조건(Capetown EQ, San Fernando EQ)에서는 경사각도가 15도 일 때, 다른 경사각도(0도, 30도)에 비해 말뚝의 휨모멘트 및 침하량이 적음을 알 수 있었다. 반면 인공지진파 조건(Sine 2Hz EQ)에 대해서는 경사각도가 0도 일 때 가장 적은 부재력(휨모멘트, 축력) 및 침하량을 보여 지진파의 특성에 따라 동적 거동이 달라짐을 확인하였다.

유한요소-경계요소 조합에 의한 터널의 3차원 동적해석 (Three dimensional dynamic analysis of underground tunnels by coupling of boundary and finite elements)

  • 이찬우;김문겸;황학주
    • 전산구조공학
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    • 제8권3호
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    • pp.91-102
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    • 1995
  • 지하터널은 그 경계가 반무한영역에서 설정되고 재료나 형상의 복잡성을 갖고 있기 때문에, 동적하중에 대하여 정확한 거동을 해석하기 위해서는 3차원 동적해석이 필요하다. 이때 일반적인 수치해석기법인 유한요소만을 이용한 방법은 인위적 경계에서의 파의 반사, 입력자료의 방대함 등으로 인하여 효율적이지 못하게 된다. 본 연구는 이러한 점을 고려하여 지하터널에 직접 가해지는 동적하중에 대한 효율적인 해석기법을 개발하는데 그 목적이 있다. 개발된 프로그램에서 지반의 반무한성은 3차원 경계요소로 고려되었으며, 구조물에는 3차원 동적해석을 수행한 결과 기존의 2차원 터널해석에서 고려가 곤란했던 차량의 진행하중으로 인한 반복효과가 합리적으로 반영되는 것으로 분석되었다.

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Damped dynamic responses of a layered functionally graded thick beam under a pulse load

  • Asiri, Saeed A.;Akbas, Seref D.;Eltaher, Mohamed A.
    • Structural Engineering and Mechanics
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    • 제75권6호
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    • pp.713-722
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    • 2020
  • This article aims to illustrate the damped dynamic responses of layered functionally graded (FG) thick 2D beam under dynamic pulse sinusoidal load by using finite element method, for the first time. To investigate the response of thick beam accurately, two-dimensional plane stress problem is assumed to describe the constitutive behavior of thick beam structure. The material is distributed gradually through the thickness of each layer by generalized power law function. The Kelvin-Voigt viscoelastic constitutive model is exploited to include the material internal damping effect. The governing equations are obtained by using Lagrange's equations and solved by using finite element method with twelve -node 2D plane element. The dynamic equation of motion is solved numerically by Newmark implicit time integration procedure. Numerical studies are presented to illustrate stacking sequence and material gradation index on the displacement-time response of cantilever beam structure. It is found that, the number of waves increases by increasing the graduation distribution parameter. The presented mathematical model is useful in analysis and design of nuclear, marine, vehicle and aerospace structures those manufactured from functionally graded materials (FGM).

Study of dynamic mechanical behavior of aluminum 7075-T6 with respect to diameters and L/D ratios using Split Hopkinson Pressure Bar (SHPB)

  • Kim, Eunhye;Changani, Hossein
    • Structural Engineering and Mechanics
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    • 제55권4호
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    • pp.857-869
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    • 2015
  • The aluminum 7075-T6 is known as an alloy widely used in aircraft structural applications, which does not exhibit strain rate sensitivity during dynamic compressive tests. Despite mechanical importance of the material, there is not enough attention to determine appropriate sample dimensions such as a sample diameter relative to the device bar diameter and sample length to diameter (L/D) ratio for dynamic tests and how these two parameters can change mechanical behaviors of the sample under dynamic loading condition. In this study, various samples which have different diameters of 31.8, 25.4, 15.9, and 9.5 mm and sample L/D ratios of 2.0, 1.5, 1.0, 0.5, and 0.25 were tested using Split Hopkinson Pressure Bar (SHPB), as this testing device is proper to characterize mechanical behaviors of solid materials at high strain rates. The mechanical behavior of this alloy was examined under ${\sim}200-5,500s^{-1}$ dynamic strain rate. Aluminum samples of 2.0, 1.5 and 1.0 of L/D ratios were well fitted into the stress-strain curve, Madison and Green's diagram, regardless of the sample diameters. Also, the 0.5 and 0.25 L/D ratio samples having the diameter of 31.8 and 25.4 mm followed the stress-strain curve. As results, larger samples (31.8 and 25.4 mm) in diameters followed the stress-strain curve regardless of the L/D ratios, whereas the 0.5 and 0.25 L/D ratios of small diameter sample (15.9 and 9.5 mm) did not follow the stress-strain diagram but significantly deviate from the diagram. Our results indicate that the L/D ratio is important determinant in stress-strain responses under the SHPB test when the sample diameter is small relative to the test bar diameter (31.8 mm), but when sample diameter is close to the bar diameter, L/D ratio does not significantly affect the stress-strain responses. This suggests that the areal mismatch (non-contact area of the testing bar) between the sample and the bar can misrepresent mechanical behaviors of the aluminum 7075-T6 at the dynamic loading condition.

The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate

  • Boulefrakh, Laid;Hebali, Habib;Chikh, Abdelbaki;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Geomechanics and Engineering
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    • 제18권2호
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    • pp.161-178
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    • 2019
  • In this research, a simple quasi 3D hyperbolic shear deformation model is employed for bending and dynamic behavior of functionally graded (FG) plates resting on visco-Pasternak foundations. The important feature of this theory is that, it includes the thickness stretching effect with considering only 4 unknowns, which less than what is used in the First Order Shear Deformation (FSDT) theory. The visco­Pasternak's foundation is taken into account by adding the influence of damping to the usual foundation model which characterized by the linear Winkler's modulus and Pasternak's foundation modulus. The equations of motion for thick FG plates are obtained in the Hamilton principle. Analytical solutions for the bending and dynamic analysis are determined for simply supported plates resting on visco-Pasternak foundations. Some numerical results are presented to indicate the effects of material index, elastic foundation type, and damping coefficient of the foundation, on the bending and dynamic behavior of rectangular FG plates.

Basin edge effect on industrial structures damage pattern at clayey basins

  • Khanbabazadeh, Hadi;Zulfikar, Abdullah C.;Yesilyurt, Ali
    • Geomechanics and Engineering
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    • 제23권6호
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    • pp.575-585
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    • 2020
  • In this numerical study, the 2D dynamic behavior of a clayey basin and its effect on damage pattern over basin edge are investigated. To attain this goal, a fully nonlinear time domain analysis method has been applied. Then, the fragility curves of the considered two typical industrial structures for that certain point are estimated using the acceleration time histories recorded at each surface point. The results show that the use of the damage related parameters in site effect analyses, instead of amplification curves, can yield more realistic estimation of the basin dynamic response. In a distance about 150 m from outcrop at the basin edge, the differences between fragility curves increase when increasing the distance from outcrop with respect to the reference rock site. Outside this region and towards the basin center, they tend to occur in rather single curves. Furthermore, to connect the structural damage to the basin edge effect, the earthquake demand value at different points for two typical structures was evaluated. It was seen that the probability of occurrence of damage increases over 250 m from outcrop, while the effect of the basin edge was limited to 150 m in case of the basin edge evaluation by using fragility curves.