Structural Engineering and Mechanics

  • 제66권3호
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  • Pages.387-397
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  • 2018
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

A general closed-form solution to a Timoshenko beam on elastic foundation under moving harmonic line load

  • Luo, Wei-Li (School of Civil Engineering, Guangzhou University) ;
  • Xia, Yong (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Zhou, Xiao-Qing (College of Civil Engineering, Guangzhou University)
  • 투고 : 2017.09.15
  • 심사 : 2018.02.14
  • 발행 : 2018.05.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, a general closed-form solution for evaluating the dynamic behavior of a Timoshenko beam on elastic foundation under a moving harmonic line load is formulated in the frequency-wavenumber domain and in a moving coordinate system. It is found that the characteristic equation is quartic with real coefficients only, and its poles can be presented explicitly. This enables the substitution of these poles into Cauchy's residue theorem, leading to the general closed-form solution. The solution can be reduced to seven existing closed-form solutions to different sub-problems and a new closed-form solution to the subproblem of a Timoshenko beam on an elastic foundation subjected to a moving quasi-static line load. Two examples are included to verify the solution.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

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