Structural Engineering and Mechanics

  • 제62권2호
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  • Pages.247-258
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  • 2017
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Analytic solution of Timoshenko beam excited by real seismic support motions

  • Kim, Yong-Woo (Department of Mechanical Engineering, Sunchon National University)
  • 투고 : 2016.06.30
  • 심사 : 2017.02.10
  • 발행 : 2017.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

Beam-like structures such as bridge, high building and tower, pipes, flexible connecting rods and some robotic manipulators are often excited by support motions. These structures are important in machines and structures. So, this study proposes an analytic method to accurately predict the dynamic behaviors of the structures during support motions or an earthquake. Using Timoshenko beam theory which is valid even for non-slender beams and for high-frequency responses, the analytic responses of fixed-fixed beams subjected to a real seismic motions at supports are illustrated to show the principled approach to the proposed method. The responses of a slender beam obtained by using Timoshenko beam theory are compared with the solutions based on Euler-Bernoulli beam theory to validate the correctness of the proposed method. The dynamic analysis for the fixed-fixed beam subjected to support motions gives useful information to develop an understanding of the structural behavior of the beam. The bending moment and the shear force of a slender beam are governed by dynamic components while those of a stocky beam are governed by static components. Especially, the maximal magnitudes of the bending moment and the shear force of the thick beam are proportional to the difference of support displacements and they are influenced by the seismic wave velocity.

키워드

참고문헌

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피인용 문헌

  1. Finite element formulation and analysis of Timoshenko beam excited by transversely fluctuating supports due to a real seismic wave vol.50, pp.6, 2018, https://doi.org/10.1016/j.net.2018.04.014
  2. Vibrations of rotationally restrained Timoshenko beam at hinged supports during an earthquake vol.52, pp.5, 2017, https://doi.org/10.1016/j.net.2019.10.021
  3. Frequency filter for elastic bending waves: Poincaré map method and experiment vol.37, pp.None, 2021, https://doi.org/10.1093/jom/ufab021