• Title/Summary/Keyword: elastic shape

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Variations of the stress intensity factors for a planar crack parallel to a bimaterial interface

  • Xu, Chunhui;Qin, Taiyan;Yuan, Li;Noda, Nao-Aki
    • Structural Engineering and Mechanics
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    • v.30 no.3
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    • pp.317-330
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    • 2008
  • Stress intensity factors for a planar crack parallel to a bimaterial interface are considered. The formulation leads to a system of hypersingular integral equations whose unknowns are three modes of crack opening displacements. In the numerical analysis, the unknown displacement discontinuities are approximated by the products of the fundamental density functions and polynomials. The numerical results show that the present method yields smooth variations of stress intensity factors along the crack front accurately. The mixed mode stress intensity factors are indicated in tables and figures with varying the shape of crack, distance from the interface, and elastic constants. It is found that the maximum stress intensity factors normalized by root area are always insensitive to the crack aspect ratio. They are given in a form of formula useful for engineering applications.

An Improved Model for Structural Analysis of Cable-stayed Bridges (사장교의 구조해석을 위한 개선된 해석모델)

  • 최창근;김선훈;송명관
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.69-76
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    • 2000
  • In this study, an improved analysis model for the more efficient and accurate structural analysis of cable-stayed bridges is presented. In this model, beam elements, of which stability functions are stabilized by the use of Taylor's series expansions, are used to model space frame structures, and truss elements, of which equivalent elastic moduli are evaluated on the assumption that the deflected shape of a cable has a catenary function, are used to model cables. By using the proposed analysis model, nonlinear static analysis and natural vibration analysis of 2-dimensional and 3-dimensional cable-stayed bridges are carried out and are compared with the analysis results reported by other researchers.

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Proposal of Bond Strength Evaluation Method for Overlay Concrete at Field (유한요소해석을 이용한 현장 덧씌우기 콘크리트의 부착강도 평가 방법 제안)

  • Lee, Bong-Hak;Hong, chang-Woo;Lee, Joo-Hyung;Kim, Seong-Hwan
    • Journal of Industrial Technology
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    • v.21 no.B
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    • pp.295-300
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    • 2001
  • Significant improvements in bond strength between new and existing concrete can be achieved through the modification of the new concrete by latex modification. But, no test method has been adopted as a standard to measure the bond strength between the concrete used to repair and the substrate being repaired. The performance of old and the new concrete construction defends upon band strength between old and the new concrete. Current adhesion strength measurement method is inaccurate method that ignore effect of stress concentration by shape of specimens. Therefore, this research calculates stress concentration coefficient using finite element analysis and direction tensile strength test (pull-off test). The result shows that the required core depth is 2.5 cm. Elastic modulus and overlay thickness do not influence in stress concentration.

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Flexural Vibration of a Bar with Periodically Nonuniform Material Properties (재질이 주기적으로 불균일한 보의 굽힘 진동 해석)

  • 김진오;문병환;김준태
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.3
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    • pp.73-78
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    • 1999
  • The paper describes a theoretical study on the flexural vibration of an elastic flat bar with periodically nonuniform material properties. The approximate solution of the natura1 frequency and mode shape has been obtained using the perturbation technique for sinusoidal modulation of the flexural rigidify and mass density. The numerical solution obtained by using the finite element method verifies the trend of the approximate solution. It appears that distributed vibrations exist in the low modes, and this approach can be extended to the vibration analysis of the p1ate in the flat panel speaker.

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Effects of imperfection shapes on buckling of conical shells under compression

  • Shakouri, Meisam;Spagnoli, Andrea;Kouchakzadeh, M.A.
    • Structural Engineering and Mechanics
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    • v.60 no.3
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    • pp.365-386
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    • 2016
  • This paper describes a systematic numerical investigation into the nonlinear elastic behavior of conical shells, with various types of initial imperfections, subject to a uniformly distributed axial compression. Three different patterns of imperfections, including first axisymmetric linear bifurcation mode, first non-axisymmetric linear bifurcation mode, and weld depression are studied using geometrically nonlinear finite element analysis. Effects of each imperfection shape and tapering angle on imperfection sensitivity curves are investigated and the lower bound curve is determined. Finally, an empirical lower bound relation is proposed for hand calculation in the buckling design of conical shells.

Buckling analysis of semi-rigid gabled frames

  • Rezaiee-Pajand, Mohammad;Shahabian, Farzad;Bambaeechee, Mohsen
    • Structural Engineering and Mechanics
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    • v.55 no.3
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    • pp.605-638
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    • 2015
  • It is intended to perform buckling analysis of steel gabled frames with tapered members and flexible connections. The method is based on the exact solutions of the governing differential equations for stability of a gabled frame with I-section elements. Corresponding buckling load and subsequently effective length factor are obtained for practical use. For several popular frames, the influences of the shape factor, taper ratio, span ratio, flexibility of connections and elastic rotational and translational restraints on the critical load, and corresponding equivalent effective length coefficient are studied. Some of the outcomes are compared against available solutions, demonstrating the accuracy, efficiency and capabilities of the presented approach.

Study on the Formulation of Two Dimensional Infinite Elements (이차원 무한요소 형성에 관한 연구)

  • 신용태;임장근
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.5
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    • pp.1066-1073
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    • 1993
  • Using regular finite elements and infinite elements simultaneously, elastic boundary value problems with infinite domain can be analyzed more effectively and accurately. In this paper, two dimensional infinite elements have been formulated by means of applying the derived mapping function to the coordinates and multiplying the regular displacement shape functions by a decay function. Orders(m, n) of the mapping and decay functions are found for the purpose of obtaining the convergent solutions without respect to the various decay lengthes. As a result of numerical tests for an infinite plate with a hole under internal pressure, two sets of function orders are obtained as follows. (a) n=0, m=1.5 (b) n=m=0.65

Dynamic Analysis of Tunnel by Using Infinite Element (무한요소를 이용한 터널의 동적해석)

  • 양신추;이희현;변재양
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1994.04a
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    • pp.145-152
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    • 1994
  • The dynamic interaction between tunnel structures and their surrounding soil medium due to impulse loading is investigated by a hybrid IEM/FEM methodology. A dynamic infinite element is developed for the efficient descretization of the far-field region of the unbounded soil medium. The shape functions of the infinite element are constructed based on the far-field solutions which are obtained by solving the 2-D elastic wave problems. Also they are devised to obtain a reasonable result over all frequency range. Numerical analysis is carried out to examine the response of the tunnel subjected to simple rectangular impulse. It is indicated that the results by the present method are in good accord with those by the boundary and finite element coupling method.

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VIBRATION CHARACTERISTICS OF REINFORCED CONCRETE SLABS (철근콘크리트 슬래브의 진동 특성)

  • 변근주;노병철;방춘석;이호범
    • Proceedings of the Korea Concrete Institute Conference
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    • 1992.10a
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    • pp.218-223
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    • 1992
  • Some aspects of the design procedures of reinforced concrete slabs concerning microvibration behavior have to be considered. In this study, a numerical algorithm for the analysis of slabs to withstand the microvibration effects is developed. First, the evaluation criteria for controlling the microvibration of slabs is given from the literature survey. Second, the human-induced load model is developed by the experimental results. Finally, the procedure for the analysis of reinforced concrete slabs, with particular emphasis to the slab subject to human-induced dynamic load, is developed by the finite element method and is then examined by using the slab model tests, In addition, the effects of elastic modulus, mass, shape of slab, and support conditions on the microvibration behavior of reinforced concrete slabs are analyzed. It is concluded that the developed analysis procedure showns in accecptable accuracy compared with the experiments and the analysis procedure cab be easily appkied to the practical microvibration problems.

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Stochastic Finite Element Analysis for Truss Structures (트러스구조물의 확률론적 유한요소 해석)

  • Bang, Myung Suk
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.1
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    • pp.55-63
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    • 1993
  • Finite element analyses are conducted with stochastic elastic moduli when truss structures are subjected to static loads of a deterministic nature. Stochastic stiffness matrix is derived from stochastic shape functions and numerical analyses are performed within the framework of the Monte Carlo method. Analysis methods are verified for the space truss and applied to cable stayed bridge for determining the cable force.

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