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Probabilistic computation of the structural performance of moment resisting steel frames

  • Ceribasi, Seyit
    • Steel and Composite Structures
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    • v.24 no.3
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    • pp.369-382
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    • 2017
  • This study investigates the reliability of the performance levels of moment resisting steel frames subjected to lateral loads such as wind and earthquake. The reliability assessment has been performed with respect to three performance levels: serviceability, damageability, and ultimate limit states. A four-story moment resisting frame is used as a typical example. In the reliability assessment the uncertainties in the loadings and in the capacity of the frame have been considered. The wind and earthquake loads are assumed to have lognormal distribution, and the frame resistance is assumed to have a normal distribution. In order to obtain an appropriate limit state function a linear relation between the loading and the deflection is formed. For the reliability analysis an algorithm has been developed for determination of limit state functions and iterations of the first order reliability method (FORM) procedure. By the method presented herein the multivariable analysis of a complicated reliability problem is reduced to an S-R problem. The procedure for iterations has been tested by a known problem for the purpose of avoiding convergence problems. The reliability indices for many cases have been obtained and also the effects of the coefficient of variation of load and resistance have been investigated.

Delamination analysis of inhomogeneous viscoelastic beam of rectangular section subjected to torsion

  • Victor I. Rizov
    • Coupled systems mechanics
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    • v.12 no.1
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    • pp.69-81
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    • 2023
  • This paper considers a delamination analysis of a statically undetermined inhomogeneous beam structure of rectangular section with viscoelastic behavior under torsion. The beam is built in at its two ends. The beam has two longitudinal inhomogeneous layers with a delamination crack between them. A notch is made in the upper crack arm. The external torsion moment applied on the beam is a function of time. Under these conditions, the beam has one degree of indeterminacy. In order to derive the strain energy release rate, first, the static indeterminacy is resolved. Then the strain energy release rate is obtained by analyzing the balance of the energy with considering the viscoelastic behavior. The strain energy release rate is found also by analyzing the compliance of the beam for checkup. Solution of the strain energy release rate in a beam without a notch in the upper crack arm is derived too. In this case, the beam has two degrees of static indeterminacy (the torsion moment in the upper crack arm is treated as an additional internal redundant unknown). A parametric investigation of the strain energy release rate is carried-out.

A dynamical stochastic finite element method based on the moment equation approach for the analysis of linear and nonlinear uncertain structures

  • Falsone, Giovanni;Ferro, Gabriele
    • Structural Engineering and Mechanics
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    • v.23 no.6
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    • pp.599-613
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    • 2006
  • A method for the dynamical analysis of FE discretized uncertain linear and nonlinear structures is presented. This method is based on the moment equation approach, for which the differential equations governing the response first and second-order statistical moments must be solved. It is shown that they require the cross-moments between the response and the random variables characterizing the structural uncertainties, whose governing equations determine an infinite hierarchy. As a consequence, a closure scheme must be applied even if the structure is linear. In this sense the proposed approach is approximated even for the linear system. For nonlinear systems the closure schemes are also necessary in order to treat the nonlinearities. The complete set of equations obtained by this procedure is shown to be linear if the structure is linear. The application of this procedure to some simple examples has shown its high level of accuracy, if compared with other classical approaches, such as the perturbation method, even for low levels of closures.

The Reasonable Concrete-Placing Methods and Sequences of Composite Steel Bridge (강합성형 교량의 합리적인 타설방법과 순서에 관한 연구)

  • Jo, Byung-Wan;Seo, Sug-Gu
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.3 no.2
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    • pp.205-212
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    • 1999
  • Recently, unexpected cracks in the concrete deck slab of composite steel bridges have been widely reported at an early age of concrete placing due to the concrete placing sequence and methods. Accordingly, the analytical research was carried out to verify the negative moment at an internal supports due to the several concrete pouring sequence and to determine the reasonable concrete placing method on the deck slab of composite steel bridge. The results show that the conventional concrete-placing method, which pours concrete first on the positive moment regions and then negative regions, leads to the minimum moment at an internal supports. However, the conventional method produces two impractical construction joints on every spans and makes field engineer to pour concrete continuously. In conclusion, this concrete-placing method was verified to be reasonable only when the construction joint was placed at the $\frac{5}{8}l{\sim}\frac{6}{8}l$ location of the middle span.

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Progressive Collapse-Resistant Rotational Capacity Evaluation of WUF-W Connection by Fracture Index Analysis (파괴지수분석에 의한 WUF-W 접합부의 연쇄붕괴저항 회전능력평가)

  • Kim, Seonwoong
    • Journal of the Earthquake Engineering Society of Korea
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    • v.22 no.6
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    • pp.353-360
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    • 2018
  • This paper is to investigate the micro-behavior of the double-span beams with WUF-W seismic connection under combined axial tension and moment and to propose the rational rotational capacity of it for progressive collapse-resistant analysis and design addressing the stress and strain transfer mechanism. To this end, the behavior of the double-span beams under the column missing event is first investigated using the advanced nonlinear finite element analysis. The characteristics of fracture indices of double-span beams with WUF-W connection under combined axial tension and flexural moment are addressed and then proposed the rational rotational capacity as the basic datum for the progressive collapse-resistant design and analysis. The distribution of fracture indices related to stress and strain for the double-span beams is investigated based on a material and geometric nonlinear finite element analysis. Furthermore, the micro-behavior for earthquake and progressive collapse is explicitly different.

Development of an Equilibrium Sensation Measuring System for Human Being (사람의 평형감각 측정시스템 개발)

  • Kim, Gab-Soon
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.11
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    • pp.62-69
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    • 2009
  • This paper describes the development of the new type equilibrium sensation measuring system for human with handicap in the equilibrium sensation. The medium and small hospital could not use the developed equilibrium sensation measuring system, because it is very high prices. Therefore, the new type system should be developed to measure the numerical value of the equilibrium sensation in human with handicap. In this paper, First, two 3-axis force/moment sensors which can measure force Fz, moments Mx and My simultaneous were designed and manufactured, second, the high speed measuring device which can acquire the output from two 3-axis force/moment sensors, third, the new type equilibrium sensation measuring system was developed, then the characteristic test of the developed equilibrium sensation measuring system carried out, it is confirmed that the system could measure the swing body of human with handicap.

ESTIMATING THE DOMAIN OF ATTRACTION VIA MOMENT MATRICES

  • Li, Chunji;Ryoo, Cheon-Seoung;Li, Ning;Cao, Lili
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1237-1248
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    • 2009
  • The domain of attraction of a nonlinear differential equations is the region of initial points of solution tending to the equilibrium points of the systems as the time going. Determining the domain of attraction is one of the most important problems to investigate nonlinear dynamical systems. In this article, we first present two algorithms to determine the domain of attraction by using the moment matrices. In addition, as an application we consider a class of SIRS infection model and discuss asymptotical stability by Lyapunov method, and also estimate the domain of attraction by using the algorithms.

Design of steel moment frames considering progressive collapse

  • Kim, Jinkoo;Park, Junhee
    • Steel and Composite Structures
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    • v.8 no.1
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    • pp.85-98
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    • 2008
  • In this study the progressive collapse potential of three- and nine-story special steel moment frames designed in accordance with current design code was evaluated by nonlinear static and dynamic analyses. It was observed that the model structures had high potential for progressive collapse when a first story column was suddenly removed. Then the size of beams required to satisfy the failure criteria for progressive collapse was obtained by the virtual work method; i.e., using the equilibrium of the external work done by gravity load due to loss of a column and the internal work done by plastic rotation of beams. According to the nonlinear dynamic analysis results, the model structures designed only for normal load turned out to have strong potential for progressive collapse whereas the structures designed by plastic design concept for progressive collapse satisfied the failure criterion recommended by the GSA guideline.

An Analytical and Experimental Study of Binary Image Normalization for Scale Invariance with Zernike Moments

  • Kim, Whoi-Yul
    • Journal of Electrical Engineering and information Science
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    • v.2 no.6
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    • pp.146-155
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    • 1997
  • In order to achieve scale- and rotation-invariance in recognizing unoccluded objects in binary images using Zernike moment features, an image of an object has often been normalized first by its zeroth-order moment (ZOM) or area. With elongated objects such as characters, a stroke width varies with the threshold value used, it becomes one or two pixels wider or thinner. The variations of the total area of the character becomes significant when the character is relatively thin with respect to its overall size, and the resulting normalized moment features are no longer reliable. This dilation/erosion effect is more severe when the object is not focused precisely. In this paper, we analyze the ZOM method and propose as a normalization method, the maximum enclosing circle (MEC) centered at the centroid of the character. We compare both the ZOM and MEC methods in their performance through various experiments.

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The First-principles Calculations on the Half-metallic Properties of (001) and (110) Surfaces of Zinc-blende YC

  • Bialek, Beata;Lee, Jae Il
    • Journal of Magnetics
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    • v.20 no.1
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    • pp.1-7
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    • 2015
  • We investigated the half-metallicity and magnetism at the (001) and (110) surfaces of YC in zinc-blende structure by using the all-electron full-potential linearized augmented plane wave method within the generalized gradient approximation. From the calculated local density of states, we found that neither (001) nor (110) surface preserves the half-metallicity. While the magnetic moment of Y atom in the YC bulk is $0.116{\mu}_B$, it is $0.057{\mu}_B$ at the topmost layer of Y-terminated (001) surface. On the contrary, C-terminated (001) YC surface exhibits stronger magnetism than the bulk structure; the calculated magnetic moment on topmost C atom is $1.084{\mu}_B$, while that of C atom in the bulk structure is $0.423{\mu}_B$. The magnetic properties of the non-polar (110) YC surface are slightly enhanced as compared with the bulk structure.