Abstract
Free vibration of reinforced concrete beams flexurally strengthened by different materials is investigated. Steel, carbon fiber reinforced plastics CFRP and glass fiber reinforced polymers GRFP are considered in the computational model of the finite element analysis. Parametric study on reinforced concrete cross section proportioning along with plate properties is undertaken. To demonstrate the nonlinear nature of the problem, analysis of reinforced concrete beams with externally bonded plates under dynamic loading is carried out. Four point cyclic loading of progressively increasing amplitude without sign reversal is considered in the analysis. Interpretation of the results is carried out by mathematical manipulation of equilibrium condition of infinitesimal element of the beam. The governing differential equation indicates the presence of the vibration - induced plating force that has to be taken into account. An iterative solution scheme using successive approximation is developed and its prediction is noted to be in close agreement with the finite element results. Because this solution procedure is mathematically cumbersome, a simplified method with acceptable accuracy is proposed for free vibration analysis of plated beams. It is based on the damping effect exhibited through the plate vibration-resisting force which tends to attenuate the frequency.
| Original language | English |
|---|---|
| Pages (from-to) | 69-88 |
| Number of pages | 20 |
| Journal | Journal of Engineering and Applied Science |
| Volume | 49 |
| Issue number | 1 |
| State | Published - Feb 2002 |
Keywords
- CFRP
- Dynamics
- Free vibration
- GFRP
- Plate bonding
- Reinforced concrete
- Repair
- Steel
- Strengthening
ASJC Scopus subject areas
- General Engineering