• Title/Summary/Keyword: 탄성지지된 보

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Vibration Analysis of Rotating Cantilever Beams Considering the Elastic Foundation Effect (지지부 탄성효과를 고려한 회전 외팔 보의 진동해석)

  • 윤경재;유홍희
    • Journal of KSNVE
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    • v.10 no.6
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    • pp.1022-1028
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    • 2000
  • This paper presents a modeling method for the vibration analysis of rotating cantilever beams considering the elastic foundation effect. Mass and stiffness matrices are derided explicitly by considering coupling effect between stretching and bonding motion. Numerical results show that the bending direction elastic foundation stiffness influences the vibration characteristics significantly in practical range of beam configuration. The ranges of elastic foundation stiffness to avoid the dynamic buckling are also presented. The method presented in this paper can be used to predict the variations of natural frequencies of rotating cantilever beams with elastically restrained root.

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Experiments on Dynamic Response of an Elastically Restrained Beam under a Moving Mass (이동질량에 의한 탄성 지지된 보의 동적응답 실험)

  • 이종원;류봉조;이규섭;김효준
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.275-280
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    • 2003
  • This paper discusses on the dynamic responsed of an elastically restrained beam under a moving mass of constant velocity. Governing equations of motion taking into account of all inertia effects of the moving mass were derived by Galerkin's mode summation method, and Runge-Kutta integration method was applied to solve the differential equations. Numerical solutions for dynamic deflections of beams were obtained for the changes of the various parameters (spring stiffness, spring position, mass ratios and velocity ratios of the moving mass). In order to verify the numerical predictions for the dynamic response of the beam, experiments were conducted. Numerical solutions for the dynamic responses of the test beam have a good agreement with experimental ones.

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Natural Frequency of Building Slabs Supported by Elastic Beams (탄성보에 의하여 지지된 복합재료 상판의 고유 진동수)

  • 김덕현;심도식
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.227-235
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    • 1998
  • A method of calculating the natural frequency corresponding to the first mode of vibration of beams and tower structures, with irregular cross-sections and with arbitrary boundary conditions was developed and reported by D. H. Kim in 1974. This method has been developed for two-dimensional problems including the laminated composite plates and was proved to be very effective for the plates with arbitrary boundary conditions and irregular sections. In this paper, the result of application of this method to the building slabs with passive and active control devices is presented. Finite difference method is used to obtain the deflection influence surfaces needed for this vibration analysis in this paper. The influence of the modulus of the foundation on the natural frequency is thoroughly studied.

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The Weld Strength and Design Tables for the Unstiffened Seated Connections (비보강받침접합의 용접강도와 설계도표)

  • Choi, Sun-Kyu;Yoo, Jung-Han;Lee, Kang-Min;Park, Jai-Woo
    • Journal of Korean Society of Steel Construction
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    • v.24 no.2
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    • pp.199-206
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    • 2012
  • Unstiffened seated connections (USC) ensure easy installation and safety during erection, thereby making the process more economical. USCs consist of a seat angle for carrying the beam's reactions and a top angle to provide beam stability. These angles are bolted or welded to the beam and supporting member. This paper sought to propose a design table for the weld strength of such connections obtained from the elastic vector method (EVM) and the instantaneous center-of-rotation method (ICM) in terms of calculating the eccentricity. Also, the proposed design table is compared with both AISC and KBC specifications.

A Study of the Modification Factor(B) in the AISC Specification for Elastic Buckling of Web-Tapered Beams (웨브 변단면보의 탄성좌굴에 대한 AISC 기준의 수정계수(B)에 관한 연구)

  • Ryu, Hyo-Jin;Lim, Nam-Hyoung
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.2
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    • pp.45-49
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    • 2008
  • This paper investigated the accuracy of the current design formulae for the elastic buckling strength of web-tapered I-beams in AISC-LRFD specification. The basic concept is to replace a tapered beam by an equivalent prismatic beam with a different length, but with a cross section identical to that of the smaller end of the tapered beam. The modification factor, B, is used to account for the stress gradient within the unbraced length and the lateral restraining effects offered by the adjacent segments. The modification factor(B) suggested in AISC-LRFD specification was compared with the finite element method(FEM) results. This paper presented a redefined method to calculate the modification factor(B).

Free Vibrations and Buckling Loads of Beam-Columns on Winkler-Type Foundations (Winkler형 지반위에 놓인 보-기둥의 자유진동 및 좌굴하중 해석)

  • Jeong, Jin Seob;Lee, Byoung Koo;Oh, Sang Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.4
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    • pp.251-258
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    • 1993
  • The main purpose of this paper is to present both the natural frequencies and the buckling loads of beam-columns on Winkler-type foundations. The ordinary differential equations governing the free vibrations and the buckling loads of beam-columns on Winkler-type foundation are derived as nondimensional forms. The Runge-Kutta method and Determinant Search method are used to perform the integration of the differential equations and to determine the eigenvalues(natural frequencies and buckling loads), respectively. Hinged-hinged and damped-clamped end constraints are applied in numerical examples. The relation between frequency parameter and elastic foundation parameter is presented in figure. The effects of axial loads on the natural frequencies of beam-columns on elastic foundations are investigated and the relation between buckling load parameter and elastic foundation parameter is also analyzed. The relation between foundation rested ratio and frequency parameter, buckling load parameter are investigated. The beam-columns on non-homogeneous elastic foundation are analyzed and typical mode shapes are also presented.

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Transient Response Analysis of Rotating Blade Considering Friction Damping Effect of Elastically Restrained Root in Resonant Frequency Range (공진 주파수 영역에서 탄성지지단의 마찰감쇠효과를 고려한 회전 블레이드의 과도응답해석)

  • 윤경재
    • Journal of the Korea Institute of Military Science and Technology
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    • v.6 no.4
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    • pp.100-112
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    • 2003
  • This paper presents the transient response analysis of a rotating blade in resonant frequency range. It is shown that the modeling is considered in elastic foundation and friction damping effect. The equations of motion are derived and transformed into a dimensionless form to investigate general phenomena. Numerical results show that the magnitude of friction damping to reduce maximum transient response in near the critical angular speed. The method can be applied to a number of examples of the practical rotating blade system to minimize transient response in resonant frequency range.

An Alternative Simplified Approach in Solving for the Inelastic Buckling Strengths of Singly Symmetric Non-Compact Stepped I-Beams (일축대칭 비조밀 스텝 I형보의 비탄성 좌굴강도 산정을 위한 단순방법)

  • Alolod, Shane;Park, Jong Sup
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.39 no.1
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    • pp.123-134
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    • 2019
  • This paper proposed a new design equation for the inelastic lateral torsional buckling (LTB) of singly symmetric stepped I-beams with non-compact flange sections. The proposed equation was generated using a finite element program, ABAQUS, and a statistical program, MINITAB. The parameters used were the stepped beams parameters; ${\alpha}$, ${\beta}$, and ${\gamma}$ and the length-to-height ratio ($L_b/h$) of the beam. The proposed equation was further validated by means of experimental test, where beams were subjected to four-point bending and supported by roller and lateral braces near the end supports. In addition, finite element models were simulated using the same parameters used in the experimental test to verify the results of the test conducted. It was proved that LTB capacity calculated from the proposed equation is accurate and conservative in comparison with the yielded values from the FEM and actual test, making it a reliable and safe approach in calculating the buckling capacities of singly symmetric stepped beams with non-compact flange sections.

A Study on Inelastic Lateral-Torsional Buckling of Stepped I-Beams Subjected to Pure Bending (균일모멘트를 받는 계단식 I형보의 비탄성 횡-비틀림 좌굴에 관한 연구)

  • Kim, Jong Min;Kim, Seung Jun;Park, Jong Sup;Kang, Young Jong
    • Journal of Korean Society of Steel Construction
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    • v.20 no.2
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    • pp.237-246
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    • 2008
  • The cross-sections of continuous multi-span beams sometimes suddenly increase, or become stepped, at the interior supports of continuous beams to resist high negative moments. The three-dimensional finite-element program ABAQUS (2006) was used to analytically investigate the inelastic lateral-torsional buckling behavior of stepped beams subjected to pure bending moment and resulted in the development of design equations. The flanges of the smaller cross-section were fixed at 30.48 by 2.54 cm, whereas the width and/or thickness of the flanges of the larger cross-section varied. The web thickness and height of beam was kept at 1.65 cm and 88.9 cm, respectively. The ratios of the flange thickness, flange width, and stepped length of beams are considered analytical parameters. Two groups of 27 cases and 35 cases, respectively, were analyzed for double and single stepped beams. The combined effects of residual stresses and geometrical imperfection on inelastic lateral-torsional buckling of beams are considered. First, the distributions of residual stress of the cross-section is same as shown in Pi, etc (1995), and the initial geometric imperfection of the beam is set by central displacement equal to 0.1% of the unbraced length of beam. The new proposed equations definitely improve current design methods for the inelastic LTB problem and increase efficiency in building and bridge design. The proposed solutions can be easily used to develop new design equation for inelastic LTB resistance of stepped beams subjected to general loading condition such as a concentrated load, a series of concentrated loads or uniformly distributed load.