• Title/Summary/Keyword: elastic analysis

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Influence of near-fault ground motions characteristics on elastic seismic response of asymmetric buildings

  • Tabatabaei, R.;Saffari, H.
    • Structural Engineering and Mechanics
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    • v.40 no.4
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    • pp.489-500
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    • 2011
  • The elastic seismic response of plan-asymmetric multi storey steel-frame buildings is investigated under earthquake loading with particular emphasis on forward-rupture directivity and fling records. Three asymmetric building systems are generated with different torsional stiffness and varying static eccentricity. The structural characteristic of these systems are designed according to UBC 97 code and their seismic responses subjected to a set of earthquake records are obtained from the response history analysis (RHA) as well as the linear static analysis (LSA). It is shown that, the elastic torsional response is influenced by the intensity of near-fault ground motions with different energy contents. In the extreme case of very strong earthquakes, the behaviour of torsionally stiff buildings and torsionally flexible buildings may differ substantially due to the fact that the displacement envelope of the deck depends on ground motion characteristics.

Neural networks for inelastic mid-span deflections in continuous composite beams

  • Pendharkar, Umesh;Chaudhary, Sandeep;Nagpal, A.K.
    • Structural Engineering and Mechanics
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    • v.36 no.2
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    • pp.165-179
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    • 2010
  • Maximum deflection in a beam is a design criteria and occurs generally at or close to the mid-span. Neural networks have been developed for the continuous composite beams to predict the inelastic mid-span deflections (typically for 20 years, considering cracking, and time effects, i.e., creep and shrinkage, in concrete) from the elastic moments and elastic mid-span deflections (neglecting instantaneous cracking and time effects). The training and testing data for the neural networks is generated using a hybrid analytical-numerical procedure of analysis. The neural networks have been validated for four example beams and the errors are shown to be small. This methodology, of using networks enables a rapid estimation of inelastic mid-span deflections and requires a computational effort almost equal to that required for the simple elastic analysis. The neural networks can be extended for the composite building frames that would result in huge saving in computational time.

An analysis of an elastic solid incorporating a crack under the influences of surface effects in plane & anti-plane deformations

  • Kim, Chun Il
    • Interaction and multiscale mechanics
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    • v.4 no.2
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    • pp.123-137
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    • 2011
  • We review a series of crack problems arising in the general deformations of a linearly elastic solid (Mode-I, Mode-II and Mode-III crack) and, perhaps more significantly, when the contribution of surface effects are taken into account. The surface mechanics are incorporated using the continuum based surface/interface model of Gurtin and Murdoch. We show that the deformations of an elastic solid containing a single crack can be decoupled into in-plane (Mode-I and Mode-II crack) and anti-plane (Mode-III crack) parts, even when the surface mechanics is introduced. In particular, it is shown that, in contrast to classical fracture mechanics (where surface effects are neglected), the incorporation of surface elasticity leads to the more accurate description of a finite stress at the crack tip. In addition, the corresponding stress fields exhibit strong dependency on the size of crack.

Boundary Element Analysis of Elastic-Viscoelastic Compound Structure (탄성-점탄성 복합구조체의 경계요소해석)

  • 이상순;김태형
    • Computational Structural Engineering
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    • v.8 no.2
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    • pp.147-151
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    • 1995
  • The time-domain boundary element analysis has been attempted for investigating the displacement and stress in an elastic-viscoelastic compound structure. The subdomain technique has been employed and the whole domain has been divided into two subdomains, which are respectively a homogeneous elastic zone and a homogeneous viscoelastic zone. The boundary element equation has been formulated using the equilibrium and continuity conditions at the common interface. The numerical results of example problem has been presented.

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Analysis of Elastic Behavior of Composite Geomaterials Using Homogenization Theory (균질화법을 이용한 복합지반물질의 역학적 특성 해석)

  • Seo, Yong-Seok;Yim, Sung-Bin;Baek, Yong;Kwon, O-Il
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.752-759
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    • 2006
  • Conglomerates and core-stones are the typical composite geomaterials that are composed of a weak matrix and a strong pebble part. In general, we couldn't analyze the composite geomaterials by using emperical rock classification methods. In the study, a series of analyses of elastic behavior of composite geomaterials are carried out by using homogenization theory. 45-case models are made with considering 3 kind of factors such as gravel content, size and strength of matrix. Those are applicable to various composite geomaterials of conglomerates and core-stones. The size of analysis model is large enough to exceed REV.

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A Study on the Thermal Stress Analysis of Axi-Symmetric Hollow Cylinder (축대칭 중공실린더의 길이방향 온도분포하의 열탄성응력 해석에 관한 연구)

  • Lee, Sang-Jin;Cho, Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.10
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    • pp.3152-3159
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    • 1996
  • Previous works about the cylindrical shape elastic body which is under longitudinal temperature distribution mostly show the results of free expansion, therefore exact thermo-elastic analysis is needed. The object of this work is to analyze the thermo-elastic problem of the hollow cylinder when the cylinder is under longitudinal temperature distribution. In this paper, the analytical solution is found by using Galerkin vector, and it is compared by the results of FEM. For displacements of cylinder, analytical values are almost same as the results of FEM, but free expansion is not fit for analytical solution and the results of FEM. stresses from analytical solution and the results of FEM show good agreement also. but the results are different near the end boundary, since St. Venant principle is applied.

SPECTRAL ANALYSIS OF THE INTEGRAL OPERATOR ARISING FROM THE BEAM DEFLECTION PROBLEM ON ELASTIC FOUNDATION I: POSITIVENESS AND CONTRACTIVENESS

  • Choi, Sung-Woo
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.27-47
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    • 2012
  • It has become apparent from the recent work by Choi et al. [3] on the nonlinear beam deflection problem, that analysis of the integral operator $\mathcal{K}$ arising from the beam deflection equation on linear elastic foundation is important. Motivated by this observation, we perform investigations on the eigenstructure of the linear integral operator $\mathcal{K}_l$ which is a restriction of $\mathcal{K}$ on the finite interval [$-l,l$]. We derive a linear fourth-order boundary value problem which is a necessary and sufficient condition for being an eigenfunction of $\mathcal{K}_l$. Using this equivalent condition, we show that all the nontrivial eigenvalues of $\mathcal{K}l$ are in the interval (0, 1/$k$), where $k$ is the spring constant of the given elastic foundation. This implies that, as a linear operator from $L^2[-l,l]$ to $L^2[-l,l]$, $\mathcal{K}_l$ is positive and contractive in dimension-free context.

Dynamic Contact Analysis of a Wheel Moving on an Elastic Beam with a High Speed (탄성 보 위를 고속 주행하는 바퀴의 동접촉 해석)

  • Lee, Ki-Su
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.5
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    • pp.541-549
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    • 2008
  • The dynamic contact between a high-speed wheel and an elastic beam is numerically analyzed by solving the whole equations of motion of the wheel and the beam subjected to the contact condition. For the stability of the numerical solution, the velocity and acceleration constraints as well as the displacement constraint are imposed on the contact point. Through the numerical examples, it is shown that the acceleration contact constraint including the Coriolis and centripetal accelerations are crucial for the numerical stability.

An Analysis of Plate on the Elastic Half-Space by Using the Improved Subsection Method (개선된 소영역분할법을 이용한 탄성지반위에 놓인 평판의 해석)

  • Han, Choong-Mok
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.2
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    • pp.133-140
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    • 2005
  • A Plate on the elastic half-space may be generally be analyzed by the finite element method. However, there ate some difficulties to obtain the flexibility matrix of the foundation based on the Boussinesq's theory. In this study, an efficient numerical procedure which uses the analysis results of the vertical displacements due to the uniformly distributed loading in a circular area is presented. Some numerical examples represent better results than those of numerical integration technique or subsection method especially in the case of irregular mesh pattern.

Elastic Behavior Characteristics of GFRP Pipes Reinforced with Ribs (리브 보강 GFRP 관로의 탄성 좌굴거동 특성)

  • Seo Joo-Hyung;Han Taek-Hee;Yoon Ki-Yong;Kang Jin-Ook;Lee Myeoung-Sub;Kang Young-Jong
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.119-126
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    • 2006
  • The elastic budding strength of a GFRP pipe reinforced with ribs was evaluated. The height and thickness of a rib and the spacing between two adjacent ribs were considered as factors affecting tlje budding strength of the pipe. And also, the ratio of the longitudinal stiffness and transverse stiffness was considered as the parameter affecting on the budding strength because GFRP is orthotropic material. Buckling strengths of various GFRP pipe models with different shapes and stiffness ratio were evaluated by FE analyses and a formula to estimate the elastic buckling strength of a rib-reinforced pipe made of orthotropic material was suggested from the regression with FE analysis results. Analysis results show that a rib-reinforced pipe has superior buckling strength to a general flat pipe and the suggested formula estimates accurate buckling strength of the rib-reinforced pipe.

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