Free Vibration Analysis of a T-Shape Frame

This article deals with the free vibration analysis and determination of seismic parameters of a T-Shape frame which consists of a continuous beam and a column connected to each other by means of a semirigid Khorjini connection. Firstly, a closed-form solution is proposed and then, a numerical analysis isperformed for some comparison and validation purposes. The closed-form solution is developed by solving the frame equations of motion, directly. For this reason, some mathematical techniques such as Fourier transform and the well-known complementary solutions are utilized. Afterwards, the freevibration parameters of the frame are attained. These parameters are also obtained using finite elementmethod as a numerical analysis and it is observed that the results obtained by this approach arecompletely coincident with the result of closed-form solution. Finally, seismic parameters of the frameand seismic behavior of the semi-rigid Khorjini connection for different cases are investigated and their results are compared.

Keywords:

Free vibration analysis , T-shape frame , semi-rigid Khorjini connection , Euler-Bernoulli beam , Boundary condition