Abstract
A new nonlinear beam-column element capable of considering the shear deformation is proposed under the concept of consistent deformation. For the traditional displacement interpolation function, the beam-column element produces membrane locking under large deformation and shear locking when the element becomes slender. To eliminate the membrane and shear locking, force equilibrium equations are employed to derive the displacement function. Numerical examples herein show that membrane locking in the traditional nonlinear beam-column element could cause a considerable error. Comparison of the present improved formulae based on the Timoshenko beam theory with that based on the Euler-Bernoulli beam theory indicates that the present approach requires several additional parameters to consider shear deformation and it is suitable for computer analysis readily for incorporation into the frames analysis software using the co-rotational approach for large translations and rotations. The examples confirm that the proposed element has higher accuracy and numerical efficiency.
| Original language | English |
|---|---|
| Article number | 1450068 |
| Journal | International Journal of Structural Stability and Dynamics |
| Volume | 15 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 29 Jun 2015 |
Keywords
- Beam-column element
- co-rotational approach
- consistent deformation element
- large deflection analysis
- membrane locking
- shear locking
ASJC Scopus subject areas
- Civil and Structural Engineering
- Building and Construction
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Applied Mathematics