Modeling of the Opened Shell Forced Vibrations with a Small Associated Mass, with Hinged Operation by the Pade’ Aproximation Method

In many constructions of buildings and structures, aircraft, etc. open hinged shells of small curvature are used. During operation, such structures are subjected to cyclic loads that cause shells to oscillate. The presence of an attached mass - the outdoor units of air conditioners, roof fans, balconies, fuel tanks, etc. -also has a significant effect on vibrations. The mechanisms of oscillations of such structures have not been fully studied, and therefore emergencies arise due to the resonance phenomenon caused by forced oscillations. In the laboratory of building structures of Komsomolsk-on-Amur State University, a test bench was made and open shells tested to determine the numerical frequency characteristics of the vibrations of open shells. The boundary conditions of which are articulated on the elastic material at the edges. The article describes the obtained new mathematical models based on the results of experimental studies. Experimental verification confirmed the correctness of using a refined mathematical model of the mechanism of oscillations of an open shell with a small added mass.

Перевод пока недоступен