|
| Exact numerical solutions of Timoshenko beams on elastic foundations |
| Received:May 13, 2010 Revised:September 06, 2010 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20116015 |
| KeyWord:elastic foundations Timoshenko beams Trefftz element exact numerical solutions |
| Author | Institution |
| 高兴军 |
华南理工大学 土木工程系 亚热带建筑国家重点实验室, 广州 |
| 马海涛 |
华南理工大学 土木工程系 亚热带建筑国家重点实验室, 广州 |
| 陈太聪 |
华南理工大学 土木工程系 亚热带建筑国家重点实验室, 广州 |
|
| Hits: 2981 |
| Download times: 1658 |
| Abstract: |
| This paper presents a study on the exact finite element solution of Timoshenko beams on elastic foundation.New shape functions are constructed using the general solution of governing differential equations of equilibrium and a Trefftz element is developed.The proposed exact element has the same nodal degrees of freedom as the conventional element after the nodeless degree of freedom introduced in the derivation is condensed at the element level.Methods for avoiding possible numerical errors due to roundoff errors are also discussed.Numerical examples are presented to demonstrate the efficiency of the new element. |