Structural Engineering and Mechanics

  • 제52권5호
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  • Pages.997-1017
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  • 2014
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

The modal characteristics of non-uniform multi-span continuous beam bridges

  • Shi, Lu-Ning (Beijing Laboratory of Earthquake Engineering and Structure Retrofit, Beijing University of Technology) ;
  • Yan, Wei-Ming (Beijing Laboratory of Earthquake Engineering and Structure Retrofit, Beijing University of Technology) ;
  • He, Hao-Xiang (Beijing Laboratory of Earthquake Engineering and Structure Retrofit, Beijing University of Technology)
  • 투고 : 2014.05.26
  • 심사 : 2014.08.20
  • 발행 : 2014.12.10
⟨ 이전 논문 다음 논문 ⟩

초록

According to the structure characteristics of the non-uniform beam bridge, a practical model for calculating the vibration equation of the non-uniform beam bridge is given and the application scope of the model includes not only the beam bridge structure but also the non-uniform beam with added masses and elastic supports. Based on the Bernoulli-Euler beam theory, extending the application of the modal perturbation method and establishment of a semi-analytical method for solving the vibration equation of the non-uniform beam with added masses and elastic supports based is able to be made. In the modal subspace of the uniform beam with the elastic supports, the variable coefficient differential equation that describes the dynamic behavior of the non-uniform beam is converted to nonlinear algebraic equations. Extending the application of the modal perturbation method is suitable for solving the vibration equation of the simply supported and continuous non-uniform beam with its arbitrary added masses and elastic supports. The examples, that are analyzed, demonstrate the high precision and fast convergence speed of the method. Further study of the timesaving method for the dynamic characteristics of symmetrical beam and the symmetry of mode shape should be developed. Eventually, the effects of elastic supports and added masses on dynamic characteristics of the three-span non-uniform beam bridge are reported.

키워드

과제정보

연구 과제 주관 기관 : Natural Science Foundation of China

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피인용 문헌

  1. Effects of deformation of elastic constraints on free vibration characteristics of cantilever Bernoulli-Euler beams vol.59, pp.6, 2016, https://doi.org/10.12989/sem.2016.59.6.1139
  2. Free vibration analysis of continuous bridge under the vehicles vol.61, pp.3, 2014, https://doi.org/10.12989/sem.2017.61.3.335