• Title/Summary/Keyword: elastic beam deflection

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Progressive Collapse Resisting Capacity of Moment Frames with Viscous Dampers (점성감쇠기가 설치된 모멘트골조의 연쇄붕괴 저항성능)

  • Kim, Jin-Koo;Lee, Seung-Jun;Choi, Hyun-Hoon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.5
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    • pp.517-524
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    • 2010
  • In this paper the progressive collapse resisting capacity of steel moment frames with viscous dampers was evaluated by nonlinear dynamic analysis. The effects of dampers installed in steel beam-column sub-assemblages with varying natural period and yield strength were evaluated after sudden removal of a column. According to the parametric study the vertical displacement general decreased as the damping ratio of the system increased, and the dampers were effective both in elastic and elasto-plastic systems. The nonlinear dynamic analysis results of the 15-story analysis models showed that the decrease in vertical deflection of the structure with 9m span length, which showed larger deflection, was more predominant than that of the structure with 6m span length.

A Novel Methodology of Improving Stress Prediction via Saint-Venant's Principle (생브낭의 원리를 이용한 응력해석 개선)

  • Kim, Jun-Sik;Cho, Maeng-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.2
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    • pp.149-156
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    • 2011
  • In this paper, a methodology is proposed to improve the stress prediction of plates via Saint Venant's principle. According to Saint Venant's principle, the stress resultants can be used to describe linear elastic problems. Many engineering problems have been analyzed by Euler-Bernoulli beam(E-B) and/or Kirchhoff-Love(K-L) plate models. These models are asymptotically correct, and therefore, their accuracy is mathematically guaranteed for thin plates or slender beams. By post-processing their solutions, one can improve the stresses and displacements via Saint Venant's principle. The improved in-plane and out-of-plane displacements are obtained by adding the perturbed deflection and integrating the transverse shear strains. The perturbed deflection is calculated by applying the equivalence of stress resultants before and after post-processing(or Saint Venant's principle). Accuracy and efficiency of the proposed methodology is verified by comparing the solutions obtained with the elasticity solutions for orthotropic beams.

The Static and Dynamic Performance Analyses of Air Foil Journal Bearing for Various Bump Foil Stiffness (범프포일 강성변화에 대한 포일저널 베어링의 정적, 동적 성능해석)

  • 김경웅;이동현;김영철
    • Tribology and Lubricants
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    • v.20 no.5
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    • pp.245-251
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    • 2004
  • This paper presents the effects of the bump foil stiffness on the static and dynamic performance of the foil journal bearings. Reynolds equation is used for the static and dynamic performance analyses. To consider the deflection of top foil the top foil is modeled as a elastic beam and the bump foil is modeled as a spring. So in the static performance analysis the load capacity is compared to the various bump foil stiffness and in the dynamic performance analysis the trajectory of journal center is compared to the various bump foil stiffness.

The Influence on Elastic Beam for Natural Frequency of Composite Sandwich Plate (복합재료 샌드위치 판의 고유 진동수에 대한 탄성보의 영향)

  • Lee, Bong-hak;Won, Chi-moon;Lee, Jung-ho;Kim, Seong-whan
    • Journal of Industrial Technology
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    • v.17
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    • pp.191-197
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    • 1997
  • For each construction material used, there is certain theoretical limit in sizes. For tall building construction, the reduction in slab weight is the first step to take in order to break such size limits. In this paper, the feasibility of such objective is proven and given by numerical analysis result. For a typical building slab, both concrete and advanced composite sandwich panels are considered. The concrete slab is treated as a special orthotropic plate to obtain more accurate result. Any method may be used to obtain the deflection influence surfaces needed for this vibration analysis. Finite difference method is used for this purpose, in this paper. The influence of the modulus of the foundation on the natural frequency is thoroughly studied.

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Analysis of higher order composite beams by exact and finite element methods

  • He, Guang-Hui;Yang, Xiao
    • Structural Engineering and Mechanics
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    • v.53 no.4
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    • pp.625-644
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    • 2015
  • In this paper, a two-layer partial interaction composite beams model considering the higher order shear deformation of sub-elements is built. Then, the governing differential equations and boundary conditions for static analysis of linear elastic higher order composite beams are formulated by means of principle of minimum potential energy. Subsequently, analytical solutions for cantilever composite beams subjected to uniform load are presented by Laplace transform technique. As a comparison, FEM for this problem is also developed, and the results of the proposed FE program are in good agreement with the analytical ones which demonstrates the reliability of the presented exact and finite element methods. Finally, parametric studies are performed to investigate the influences of parameters including rigidity of shear connectors, ratio of shear modulus and slenderness ratio, on deflections of cantilever composite beams, internal forces and stresses. It is revealed that the interfacial slip has a major effect on the deflection, the distribution of internal forces and the stresses.

Free Vibrations of Horizontally Curved Beams with Shear Deformation (전단변형을 고려한 수평곡선보의 자유진동)

  • Shin, Seong-Cheol;Park, Kou-Moon;Lee, Jong-Kook;Lee, Byoung-Koo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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    • pp.395.1-395
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    • 2002
  • The ordinary differential equations governing free vibrations of elastic horizontally curved beams are derived, in which the effect of shear deformation as well as the effects of vertical deflection, rotatory and torsional inertias are included. Frequencies and mode shapes are computed numerically fer parabolic curved beams with hinged-hinged, hinged-clamped and clamped-clamped ends. Comparisons of natural frequencies between this study and ADINA are made to validate the theories and numerical methods developed herein. (omitted)

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Theoretical evaluation of collision safety for Submerged Floating Railway Tunnel (SFRT) by using simplified analysis

  • Seo, Sung-il;Moon, Jiho;Mun, Hyung-Suk
    • Structural Engineering and Mechanics
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    • v.64 no.3
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    • pp.293-299
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    • 2017
  • Submarine collisions is one of the major hazardous factor for Submerged Floating Railway Tunnel (SFRT) and this study presents the safety evaluation for submarine collision to SFRT by using theoretical approach. Simplified method to evaluate the collision safety of SFRT was proposed based on the beam on elastic foundation theory. Firstly, the time history load function for submarine collision was obtained by using one-degree-of-freedom vibration model. Then, the equivalent mass and stiffness of the structure were calculated, and the collision responses of SFRT were evaluated. Finite element analysis was conducted to verify the proposed equations, and it can be found that the collision responses, such as deflection, and acceleration, agreed well with the proposed equations. Finally, derailment condition for high speed train in SFRT due to submarine collision was proposed.

Determining the effective width of composite beams with precast hollowcore slabs

  • El-Lobody, Ehab;Lam, Dennis
    • Structural Engineering and Mechanics
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    • v.21 no.3
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    • pp.295-313
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    • 2005
  • This paper evaluates the effective width of composite steel beams with precast hollowcore slabs numerically using the finite element method. A parametric study, carried out on 27 beams with different steel cross sections, hollowcore unit depths and spans, is presented. The effective width of the slab is predicted for both the elastic and plastic ranges. 8-node three-dimensional solid elements are used to model the composite beam components. The material non-linearity of all the components is taken into consideration. The non-linear load-slip characteristics of the headed shear stud connectors are included in the analysis. The moment-deflection behaviour of the composite beams, the ultimate moment capacity and the modes of failure are also presented. Finally, the ultimate moment capacity of the beams evaluated using the present FE analysis was compared with the results calculated using the rigid - plastic method.

Limiting the sway on multi-storey un-braced steel frames bending on weak axis with partial strength connections

  • Tahir, Mahmood Md.;Ngian, Poi Shek
    • Structural Engineering and Mechanics
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    • v.38 no.6
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    • pp.825-847
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    • 2011
  • This paper investigates the design using wind-moment method for semi-rigid un-braced steel frames bending on weak axis. A limiting sway method has been proposed to reduce the frame sway. Allowance for steel section optimization between moment of inertia on minor axis column and major axis beam was used in conjunction with slope-deflection analysis to derive equations for optimum design in the proposed method. A series of un-braced steel frames comprised of two, four, and six bays ranging in height of two and four storey were studied on minor axis framing. The frames were designed for minimum gravity load in conjunction with maximum wind load and vice-versa. The accuracy of the design equation was found to be in good agreement with linear elastic computer analysis up to second order analysis. The study concluded that the adoption of wind-moment method and the proposed limiting sway method for semi-rigid steel frame bending on weak axis should be restricted to low-rise frames not more than four storey.

An Analytical Study on the Structural Behavior of Composite Beams (합성보의 거동에 관한 해석적 연구)

  • 황영서;양구록;송준엽;권영봉
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.175-182
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    • 1998
  • An analytical study to trace the nonlinear structural behavior of composite beams is undertaken to include the nonlinear material properties of steel sheeting, reinforcing steel bar and concrete. To trace Moment-curvature relations, sectioning analysis method and two simple formulas are developed. A simple power model which has been originally used to expect the flexural capacity of the beam to column connections is proposed and the second formula is composed of two experimental functions to express the Moment-curvature relation in the elastic and plastic range separately. The load-deflection behavior of the beams has been simulated by the step-by-step numerical integration method and is compared with the test results available.

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