• Title/Summary/Keyword: simply supported

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Identification of reinforced concrete beam-like structures subjected to distributed damage from experimental static measurements

  • Lakshmanan, N.;Raghuprasad, B.K.;Muthumani, K.;Gopalakrishnan, N.;Basu, D.
    • Computers and Concrete
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    • v.5 no.1
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    • pp.37-60
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    • 2008
  • Structural health monitoring of existing infrastructure is currently an important field of research, where elaborate experimental programs and advanced analytical methods are used in identifying the current state of health of critical and important structures. The paper outlines two methods of system identification of beam-like reinforced concrete structures representing bridges, through static measurements, in a distributed damage scenario. The first one is similar to the stiffness method, re-cast and the second one to flexibility method. A least square error (LSE) based solution method is used for the estimation of flexural rigidities and damages of simply supported, cantilever and propped cantilever beam from the measured deformation values. The performance of both methods in the presence of measurement errors is demonstrated. An experiment on an un-symmetrically damaged simply supported reinforced concrete beam is used to validate the developed method. A method for damage prognosis is demonstrated using a generalized, indeterminate, propped cantilever beam.

Seismic Response of Multiple Span Steel Bridges in the Central and Southeastern United States (미 중부 및 동남부 지역의 다경간 교량의 지진응답)

  • Choi, Eunsoo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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    • pp.427-439
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    • 2003
  • A previous study evaluated the seismic response of typical multi-span simply supported (MSSS) and multi-span continuous (MSC) steel-girder bridges in the central and southeastern United States. The results showed that the bridges were vulnerable to damage resulting from impact between decks, and large ductility demands on nonductile columns. Furthermore, fixed and expansion bearings were likely to fail during strong ground motion. In this paper, several retrofit measures to improve the seismic performance of typical multi-span simply supported and multi-span continuous steel girder bridges are evaluated, including the use of elastomeric bearings, lead-rubber bearings, and restrainer cables. It is determined that lead-rubber bearings are the most effective retrofit measure for reducing the seismic vulnerability of typical bridges. While isolation provided by elastomeric bearings limits the forces into the columns, the added flexibility results in pounding between decks in the MSSS steel-girder bridge. Restrainer cables, which are becoming a common retrofit measure, are only moderately effective in reducing the seismic vulnerability of MSSS and MSC steel girder bridges.

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Variation of Rail's Axial Compressive Force on Railway Bridges Due to Thermal and Seismic Loads with using EQS Bearings (EQS 면진받침 사용 시 온도하중 및 지진하중에 대한 철도교량 레일 압축력 변화)

  • Kim Lee Hyeon;Kim Haksoo;Choi Eunsoo
    • Journal of the Korean Society for Railway
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    • v.8 no.3
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    • pp.276-285
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    • 2005
  • This study discussed the effect on rail's axial force due to thermal and seismic loads according to supporting conditions of railway bridges; the considered supporting conditions are 1)simply supported, 2)roller at both ends, and 3)roller with horizontal spring at both ends. Closed form solutions are used to calculate the axial farces on rails. The roller at both ends of a bridge span decreases the compressive axial force on rail due to thermal load compared with the simply supported condition. However, the lateral springs at roller are not helpful to decrease the rail's compressive axial force.

Dynamic Behavior of a Timoshenko Beam with a Crack and Moving Masses (크랙과 이동질량을 가진 티모센코 보의 진동특성)

  • 안성진;손인수;윤한익
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.799-804
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    • 2004
  • In this paper a dynamic behavior of simply supported cracked simply supported beam with the moving masses is presented. Based on the Timoshenko beam theory, the equation of motion can be constructed by using the Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments i.e. the crack is modelled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces across the crack section and is derived by applying fundamental fracture mechanics the of. And the crack is assumed to be in th first mode of fracture. As the depth of the crack and velocity of fluid are increased the mid-span deflection of the pipe conveying fluid with the moving mass is increased. As depth of the crack is increased, the effect that the velocity of the fluid on the mid-span deflection appeals more greatly.

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Natural Frequencies of Simply Supported Tapered Beams (단순지지된 변단면 보의 고유진동수)

  • 김준희;김순철;이수곤
    • Journal of KSNVE
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    • v.9 no.3
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    • pp.607-612
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    • 1999
  • Natural frequencies of non-symmetrically tapered beams with simply supported ends were determined by solving the frequency equations. In the case of symmetrically tapered beams. the finite element method was adopted for frequency computation. Computed frequencies of tapered beams were expressed as functions of taper ratio. a. and sectional properties. ( m, n).

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Free vibration analysis of the isotropic hemi-spherical shell with various boundary condition (다양한 경계조건을 갖는 등방성 반구형셀의 자유진동해석)

  • Lee, Young-Shin;Kim, Hyun-Soo;Yang, Myung-Seog
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.831-836
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    • 2000
  • In this study, the Rayleigh inextensional theory and extensional theory for thin shells was employed to predict the natural frequencies of the hemi-spherical shell with free and simply. supported boundary condition. The frequencies and mode shapes from theoretical calculation were compared with those of commercial finite element code, ANSYS. In order to validate the theory, modal test was also performed by impact test and FFT analysis. Modal test and FEM analysis of the free, simply supported and clamped boundary condition was also carried out.

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Stability Analysis of Axially Moving Simply Supported Pipe Conveying Fluid (축방향으로 이송되는 유체유동 단순지지 파이프의 안정성 해석)

  • Son, In-Soo;Hur, Kwan-Do;Lee, Sang-Pill;Cho, Jeong-Rae
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.5
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    • pp.407-412
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    • 2012
  • The dynamic instability and natural frequency of an axially moving pipe conveying fluid are investigated. Thus, the effects of fluid velocity and moving speed on the stability of the system are studied. The governing equation of motion of the moving pipe conveying fluid is derived from the extended Hamilton's principle. The eigenvalues are investigated for the pipe system via the Galerkin method under the simple support boundary. Numerical examples show the effects of the fluid velocity and moving speed on the stability of system. Moreover, the lowest critical moving speeds for the simply supported ends have been presented.

3-D Vibration analysis of FG-MWCNTs/Phenolic sandwich sectorial plates

  • Tahouneh, Vahid
    • Steel and Composite Structures
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    • v.26 no.5
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    • pp.649-662
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    • 2018
  • In this study, based on the three-dimensional theory of elasticity, free vibration characteristics of sandwich sectorial plates with multiwalled carbon nanotube-(MWCNT)-reinforced composite core are considered. Modified Halpin-Tsai equation is used to evaluate the Young's modulus of the MWCNT/epoxy composite samples by the incorporation of an orientation as well as an exponential shape factor in the equation. The exponential shape factor modifies the Halpin-Tsai equation from expressing a straight line to a nonlinear one in the MWCNTs wt% range considered. In this paper, free vibration of thick functionally graded sandwich annular sectorial plates with simply supported radial edges and different circular edge conditions including simply supported-clamped, clamped-clamped, and free-clamped is investigated. A semi-analytical approach composed of two-dimensional differential quadrature method and series solution are adopted to solve the equations of motion. The material properties change continuously through the core thickness of the plate, which can vary according to a power-law, exponentially, or any other formulations in this direction. This study serves as a benchmark for assessing the validity of numerical methods or two-dimensional theories used to analysis of laminated sectorial plates.

Application of Kelvin's approach for material structure of CNT: Polynomial volume fraction law

  • Hussain, Muzamal
    • Structural Engineering and Mechanics
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    • v.76 no.1
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    • pp.129-139
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    • 2020
  • In this piece of work, carbon nanotubes motion equations are framed by Kelvin's method. Employment of the Kelvin's method procedure gives birth to the tube frequency equation. It is also exhibited that the effect of frequencies is investigated by varying the different index of polynomial function. By using volume fraction for power law index, the fundamental natural frequency spectra for two forms of single-walled carbon nanotubes are calculated. The influence of frequencies against length-to-diameter ratios with varying power law index are investigated in detail for these tubes. Throughout the computation, it is observed that the frequency behavior for the boundary conditions follow as; clamped-clamped, simply supported-simply supported and these frequency curves are higher than that of clamped-free curves. Computer software MATLAB is utilized for the frequencies of single-walled carbon nanotubes.

Dynamic Behavior of Cracked Pipe Conveying Fluid with Moving Mass Based on Timoshenko Beam Theory

  • Yoon, Han-Ik;Son, In-Soo
    • Journal of Mechanical Science and Technology
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    • v.18 no.12
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    • pp.2216-2224
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    • 2004
  • In this paper we studied about the effect of the open crack and the moving mass on the dynamic behavior of simply supported pipe conveying fluid. The equation of motion is derived by using Lagrange's equation and analyzed by numerical method. The crack section is represented by a local flexibility matrix connecting two undamaged pipe segments i.e. the crack is modeled as a rotational spring. The influences of the crack severity, the position of the crack, the moving mass and its velocity, the velocity of fluid, and the coupling of these factors on the vibration mode, the frequency, and the mid-span displacement of the simply supported pipe are depicted.