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Structural Engineering and Mechanics Volume 72, Number 5, December10 2019 , pages 617-629 DOI: https://doi.org/10.12989/sem.2019.72.5.617 |
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The linear-elastic stiffness matrix model analysis of pre-twisted Euler-Bernoulli beam |
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Ying Huang, Haoran Zou, Changhong Chen, Songlin Bai, Yao Yao and Leon M. Keer
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| Abstract | ||
| 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. | ||
| Key Words | ||
| Pre-twisted; Euler-Bernoulli beam; Stiffness matrix; Parametric analysis | ||
| Address | ||
| Ying Huang: 1School of Civil Engineering, Xi\'an University of Architecture and Technology, Xi\'an, China, 710055, China 2Key Lab of Structural Engineering and Earthquake Resistance, Ministry of Education | ||