Free vibration analysis of a steel T-Shape frame including semi-rigid Khorjini connection with continuous beam: Fid-Bau Portal

Free vibration analysis of a steel T-Shape frame including semi-rigid Khorjini connection with continuous beam

Moussemi, Mojtaba / Nezamolmolki, Davoud / Sani, Ahmad Aftabi

Abstract 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 semi-rigid Khorjini connection. The individual members of the frame are assumed to be governed by the transverse vibration theory of an Euler-Bernoulli beam and the semi-rigid Khorjini connection is modeled employing a rotational spring. First of all, a closed-form solution is proposed and then, a numerical analysis is performed 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. In this process, some differential equations must be solved, and several boundary conditions should be satisfied. Afterward, the free vibration parameters of the frame are attained. These parameters are also obtained using finite element method as a numerical analysis and it is observed that the results obtained by this approach are completely coincident with the result of closed-form solution. Also, seismic parameters of the frame and seismic behavior of the semi-rigid Khorjini connection for different cases are investigated and their results are compared. Finally, two special cases are presented and, furthermore, the connection mass effect on system frequency is investigated.