• Title/Summary/Keyword: Nonlinear creep force

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Analysis of the Critical Speed and Hunting Phenomenon of a High Speed Train (고속전철의 임계속도와 헌팅현상 해석)

  • Song, Ki-Seok;Koo, Ja-Choon;Choi, Yeon-Sun
    • Journal of the Korean Society for Railway
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    • v.17 no.5
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    • pp.342-348
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    • 2014
  • Contact between wheel and rail leads to the creep phenomenon. Linear creep theory, assuming linear increase in the creep force vs creep, results in a critical speed at which the vibration of a railway vehicle goes to infinity. However, the actual creep force converges to a limited value, so that the vibration of a railway vehicle cannot increase indefinitely. In this study, the dynamics of a railway vehicle is investigated with a 6 DOF bogie model includingthe nonlinear creep curves of Vermeulen, Polach, and a newly calculated creep curve with strip theory. Strip theory considers the profiles of the wheel and rail. The results show that the vibration of a railway vehicle results in a limit-cycle over a specific running speed, and this limit-cycle becomes smaller as the slope of the creep-curve steepens. Moreover, a hunting phenomenon is caused due to flange contact, which restricts the magnitude of the limit-cycle.

Nonlinear Analysis of RC Shell Structures Including Creep and Shrinkage Effects (크리프와 건조수축을 고려한 RC쉘 구조물의 비선형 해석)

  • 정진환;한충목;조현영
    • Magazine of the Korea Concrete Institute
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    • v.5 no.2
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    • pp.181-188
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    • 1993
  • In this study, a numerical method for the material nonlinear analysis of reinforced concrete shell structures including the time dependent effects due to creep and shrinkage is developed. Degenerate shell elements with the layered approach are used. The perfect or strain hardening plasticity model in compression and the linearly elastic model in tension until cracking for concrete are employed. The reinforcing bars are considered as a steel layer of equivalent thickness. Each :steel layer has an uniaxial behaviour resisting only the axial force in the bar direction. A bilinear idealization is adopted to model elasto-plastic stress-strain relationships. For the nonlinear anaysis, incremental load method combined with unbalanced load iterations for each load increment is used. To include time dependent effects of concrete, time domain is divided into several time steps which may have different length. Some numerical examples are presented to study the validity and applicability of the present method. The results are compared with experimental and numerical results obtained by other investigator.

Analysis of an electrically actuated fractional model of viscoelastic microbeams

  • Bahraini, Seyed Masoud Sotoodeh;Eghtesad, Mohammad;Farid, Mehrdad;Ghavanloo, Esmaeal
    • Structural Engineering and Mechanics
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    • v.52 no.5
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    • pp.937-956
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    • 2014
  • The MEMS structures usually are made from silicon; consideration of the viscoelastic effect in microbeams duo to the phenomena of silicon creep is necessary. Application of the fractional model of microbeams made from viscoelastic materials is studied in this paper. Quasi-static and dynamical responses of an electrically actuated viscoelastic microbeam are investigated. For this purpose, a nonlinear finite element formulation of viscoelastic beams in combination with the fractional derivative constitutive equations is elucidated. The four-parameter fractional derivative model is used to describe the constitutive equations. The electric force acting on the microbeam is introduced and numerical methods for solving the nonlinear algebraic equation of quasi-static response and nonlinear equation of motion of dynamical response are described. The deflected configurations of a microbeam for different purely DC voltages and the tip displacement of the microbeam under a combined DC and AC voltages are presented. The validity of the present analysis is confirmed by comparing the results with those of the corresponding cases available in the literature.

Creepage Model Analysis for a Tilting Train (틸팅열차의 크리피지 모델 해석)

  • Kang, Chul-Goo;Kim, Ho-Yeon;Lee, Nam-Jin;Kim, Min-Soo;Goo, Byeong-Choon
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.2
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    • pp.231-239
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    • 2009
  • Traction and braking of trains are due to the rolling contact of the wheel on the rail, and the rolling contact is fundamental to an understanding of the behavior of the railroad system. The way in which the forces are transmitted in the rolling contact is complex and highly nonlinear. This paper describes a rolling contact theory, a creepage model between wheel and rail, and a dynamic model of the tilting train Hanvit-200. The validity of the model is verified through simulation study using Simulink.