Transverse and longitudinal damped vibration of the GAMMA type frame

Abstract

Abstract. In this paper, the problem of transverse and longitudinal damped vibration of the Γ type frame was formulated and solved. The effect of constructional damping of the column support and fixing bolt frame support on degree of vibration amplitude decay was presented. The vibration energy dissipation in the model (modelled by the rotational viscous dampers) is a result of the movement resistance taken into account in the frame supports. The eigenvalues of the system with respect to changes in system geometry and for a selected and variable damping coefficient values were calculated.

Influence of complex damping on transverse and longitudinal vibrations of portal frame

“…The main impact on damped vibration frequency and on amplitude decay factor have the values of from 0 to 2 (see [9,10]). The value of of homogeneous steel was selected according to data from works [11][12][13].…”

“…Taking into account the different source of energy dissipation in mathematical model of real systems help determinates the dynamic properties of investigated systems. The formulation and solution for the problem of damped vibration of Γ frame is demonstrated in the study [9]. In that case only constructional damping were considered.…”

Damped vibrations of the Γ type frame with open cracks

“…The focus of the present study is on the analysis of damped vibrations of the Γ type frame with cracks. Previous studies in this field have examined integrated transverse and longitudinal damped vibrations of the Γ type frame without cracks in a structure [13]. In the Bernoulli-Euler beam model adopted in the study, dissipation of vibration energy derives from the damping.…”