Structural Engineering and Mechanics

  • 제72권5호
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  • Pages.617-629
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  • 2019
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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

The linear-elastic stiffness matrix model analysis of pre-twisted Euler-Bernoulli beam

  • Huang, Ying (School of Civil Engineering, Xi'an University of Architecture and Technology) ;
  • Zou, Haoran (School of Mechanics and civil Engineering, Northwestern Polytechnical University) ;
  • Chen, Changhong (School of Mechanics and civil Engineering, Northwestern Polytechnical University) ;
  • Bai, Songlin (School of Mechanics and civil Engineering, Northwestern Polytechnical University) ;
  • Yao, Yao (School of Mechanics and civil Engineering, Northwestern Polytechnical University) ;
  • Keer, Leon M. (Civil and Environmental Engineering, Northwestern University)
  • 투고 : 2019.02.18
  • 심사 : 2019.07.30
  • 발행 : 2019.12.10
⟨ 이전 논문 다음 논문 ⟩

초록

Based on the finite element method of traditional straight Euler-Bernoulli beams and the coupled relations between linear displacement and angular displacement of a pre-twisted Euler-Bernoulli beam, the shape functions and stiffness matrix are deduced. Firstly, the stiffness of pre-twisted Euler-Bernoulli beam is developed based on the traditional straight Euler-Bernoulli beam. Then, a new finite element model is proposed based on the displacement general solution of a pre-twisted Euler-Bernoulli beam. Finally, comparison analyses are made among the proposed Euler-Bernoulli model, the new numerical model based on displacement general solution and the ANSYS solution by Beam188 element based on infinite approach. The results show that developed numerical models are available for the pre-twisted Euler-Bernoulli beam, and which provide more accurate finite element model for the numerical analysis. The effects of pre-twisted angle and flexural stiffness ratio on the mechanical property are investigated.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China, China Scholarship Council, Shaanxi National Science Foundation of China, Northwestern Polytechnical University

The authors would like to acknowledge the financial support by the National Natural Science Foundation of China (51408489, 51248007, 51308448 and 11572249), the China Scholarship Council (201606295016), and the Shaanxi National Science Foundation of China (2017JQ7255), and Sponsored by the Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University (ZZ2019127).

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