• Title/Summary/Keyword: transformed cross-section

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Forced vibration analysis of damped beam structures with composite cross-section using Timoshenko beam element

  • Won, S.G.;Bae, S.H.;Jeong, W.B.;Cho, J.R.;Bae, S.R.
    • Structural Engineering and Mechanics
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    • v.43 no.1
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    • pp.15-30
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    • 2012
  • A damped Timoshenko beam element is introduced for the DOF-efficient forced vibration analysis of beam-like structures coated with viscoelastic damping layers. The rotary inertia as well as the shear deformation is considered, and the damping effect of viscoelastic layers is modeled as an imaginary loss factor in the complex shear modulus. A complex composite cross-section of structures is replaced with a homogeneous one by means of the transformed section approach in order to construct an equivalent single-layer finite element model capable of employing the standard $C^{0}$-continuity basis functions. The numerical reliability and the DOF-efficiency are explored through the comparative numerical experiments.

Vibration Analysis of Rotating Blades with the Cross Section Taper Considering the Pre-twist Angle and the Setting Angle (초기 비틀림각 및 장착 각의 영향을 고려한 단면 테이퍼진 회전 블레이드의 진동해석)

  • Lee, Jun-Hee;Yoo, Hong-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.1
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    • pp.10-21
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    • 2010
  • Equations of chordwise and flapwise bending motions for the vibration analysis of rotating pre-twisted blades having tapered cross section and setting angle are derived by using hybrid deformation variable modeling. The two motions are couples to each other due to the pre-twisted angle of the beam cross section. The derived equations are transformed into dimensionless forms in which dimensionless parameters are identified. The effects of the dimensionless parameters on the modal characteristics of rotating pre-twisted blades having tapered cross section and orientation angle are investigated. The eigenvalue loci veering phenomena are also investigated and discussed in this work.

Vibration analysis of rotating blades considering the cross section taper, the pre-twist angle, and the setting angle (단면 테이퍼, 초기 비틀림각, 그리고 장착 각의 영향을 고려한 회전 블레이드의 진동해석)

  • Lee, Jun-Hee;Yoo, Hong-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2009.04a
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    • pp.288-295
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    • 2009
  • Equations of chordwise and flapwise bending motions for the vibration analysis of rotating pre-twisted blades having tapered cross section and orientation angle are derived by using hybrid deformation variable modeling. The two motions are couples to each other due to the pre-twisted angle of the beam cross section. The derived equations are transformed into dimensionless forms in which dimensionless parameters are identified. The effects of the dimensionless parameters on the modal characteristics of rotating pre-twisted blades having tapered cross section and orientation angle are investigated. The eigenvalue loci veering phenomena is also investigated and discussed in this work.

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Numerical method to determine the elastic curve of simply supported beams of variable cross-section

  • Biro, Istvan;Cveticanin, Livija;Szuchy, Peter
    • Structural Engineering and Mechanics
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    • v.68 no.6
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    • pp.713-720
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    • 2018
  • In this paper a new numerical method to determine the elastic curve of the simply supported beams of variable cross-section is demonstrated. In general case it needs to solve linear or small nonlinear second order differential equations with prescribed boundary conditions. For numerical solution the initial values of the slope and the deflection of the end cross-section of the beam is necessary. For obtaining the initial values a lively procedure is developed: it is a special application of the shooting method because boundary value problems can be transformed into initial value problems. As a result of these transformations the initial values of the differential equations are obtained with high accuracy. Procedure is applied for calculating of elastic curve of a simply supported beam of variable cross-section. Results of these numerical procedures, analytical solution of the linearized version and finite element method are compared. It is proved that the suggested procedure yields technically accurate results.

Optimal Shape Design of Legs and Stretcher Parts of Chair (의자 다리와 스트레쳐를 중심으로 한 형상 최적화 설계)

  • Lee, Young-Min;Jeong, Hoon
    • Proceeding of EDISON Challenge
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    • 2016.03a
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    • pp.256-261
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    • 2016
  • In this paper, Shape optimal design for a chair with 4 legs and 2 stretchers consisting of stainless steel was conducted. The shape was transformed by identifying stress and deformation for the part of leg and stretcher. In addition, load condition and mesh was designed using Hypermesh. The stress analysis was carried out using CSD_Elast that is one of EDISON program. In seat test, Maximum equivalent stress was showed at the contact part between seat and legs. As a result, a leg cross-section with rectangular and arch was designed. And optimal height of stretcher was found to reduce a deformation. Also, maximum deformation was reduced by designing a stretcher with ellipse cross-section. So, Optimal chair having 4 legs with rectangular cross section and 2 stretchers with ellipse cross section was shown to satisfy the safety ratio.

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Vibration Analysis of a Rotating Blade Considering Pre-twist Angle, Cross Section Taper and a Concentrated Mass (초기 비틀림 각과 단면 테이퍼 그리고 집중질량을 갖는 회전하는 블레이드의 진동해석)

  • Kim, Hyung Yung;Yoo, Hong Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.4
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    • pp.338-346
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    • 2013
  • Equations of motion of a rotating blade considering pre-twist angle, cross section taper and a concentrated mass are derived using the hybrid deformation variable modeling method. For the modeling of a concentrated mass which is located at an arbitrary position of the blade, a Dirac delta function is employed for the mass density function. The final equations for the vibration analysis are transformed into a dimensionless form using several dimensionless parameters. The effects of the dimensionless parameters on the vibration characteristics of the rotating blade are investigated through numerical analysis.

Scattering of TM Waves by Dielectric Cylinder with Arbitrary Cross Section Partially Covered by a Conductor (부분적으로 도체가 덮인 임의의 단면의 유전체 시린더에 의한 TM 파의 산란현상)

  • Kim, Nam-Tae;Lee, Sang-Seol
    • Proceedings of the KIEE Conference
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    • 1987.07a
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    • pp.78-81
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    • 1987
  • The scattering characteristics are analysed for the dielectric cylinder with arbitrary cross section partially covered by thin conductors. The integro differential equations consistant with boundary conditions of conductor and dielectric boundaries are derived by the equivalence principle. They are transformed into matrix equations by moment method. The circular dielectric cylinder covered by conductors at the upper and bottom side of the cylinder is chosen for the numerical example. Current distributions on conductors and scattering cross section by the cylinder are computed for incident wave perpendicular to the conductor plane.

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Scattering of TE Waves by a Dielectric Cylinder with Arbitrary Cross Section Paritially Covered by Conductors (부분적으로 도체가 덮인 임의단면의 유전체시린더에 의한 TE파의 산람현상)

  • 이상설;장대석
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.2
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    • pp.125-129
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    • 1988
  • The acattering characteristics by the TE incident wave are analysed for its dielectric cylinder with arbitrary cross section partially covered by thin conductors. The integro differential equations consistent with boundary conditions of conductors and dielectric boundaries are derived by the equivalence principle. They are transformed into matrix equations by moment method. The rectangular dielectric ctlinder partially coverd by conductors at the upper and bottom side of the cylinder is chosen for the numerical example. Current distributions on conductors and sacttring cross sections by the cylinder are computed for the TE incident perpendicular to the conductor plane.

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Estimation of Drift Ratio by Damage Level for Flexural RC Piers With Circular Cross-Section Based on Experimental Data in Korea (실험자료를 기반한 국내 원형단면 철근콘크리트 휨교각의 손상수준 별 횡변위비 산정)

  • Nam, Hyeonung;Hong, Kee-Jeung;Kim, Ick-Hyun
    • Journal of the Earthquake Engineering Society of Korea
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    • v.26 no.6
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    • pp.255-265
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    • 2022
  • In order to determine fragility curves, the limit state of piers for each damage level is suggested in this paper based on the previous test results in Korea, including our test results. In previous studies, the quantitative measures for damage levels of piers have been represented by curvature ductility, lateral drift ratio, or displacement ductility. These measures are transformed to lateral drift ratios of piers for consistency, and the transformed values are compared and verified with our push-over test results for flexural RC piers with a circular cross-section. The test specimens are categorized concerning the number of lap-splices in the plastic hinge region and whether seismic design codes are satisfied or not. Based on the collected test results in Korea, including ours, the lateral drift ratio for each pier damage level is suggested.

Simulating the construction process of steel-concrete composite bridges

  • Wu, Jie;Frangopol, Dan M.;Soliman, Mohamed
    • Steel and Composite Structures
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    • v.18 no.5
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    • pp.1239-1258
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    • 2015
  • This paper presents a master-slave constraint method, which may substitute the conventional transformed-section method, to account for the changes in cross-sectional properties of composite members during construction and to investigate the time-dependent performance of steel-concrete composite bridges. The time-dependent effects caused by creep and shrinkage of concrete are considered by combining the age-adjusted effective modulus method and finite element analysis. An efficient computational tool which runs in AutoCAD environment is developed to simulate the construction process of steel-concrete composite bridges. The major highlight of the developed tool consists in a very convenient and user-friendly interface integrated in AutoCAD environment. The accuracy of the proposed method is verified by comparing its results with those provided by using the transformed-section method. Furthermore, the computational efficiency of the developed tool is demonstrated by applying it to a steel-concrete composite bridge.