The holes’ influence on the constructional non-homogeneuos cillindrical shells free oscillation frequencies

Abstract

The free vibrations of thin elastic cylindrical shells weakened by a rectangular hole is studied. Problems of the thin shells’ with constructional non-homogeneity free oscillations set the especial place in the modern mechanical theory and practice The main aim of this work is to investigate the rectangular holes’ frequencies and forms. The new, more correct mathematical model, that takes into consideration the shell’s constructional inhomogeneity has also been designed. It has been studied that the rectangular holes presence in the shells’ constructions and their discrete location cause the local inertial non-homogeneity and influences greatly on the construction’s amplitude and frequencies characteristics. The shells system oscillations amplitudes and frequencies are calculated too. The new dependencies, physics and mechanical effects, caused by the shells constructional non-homogeneity are also received. Such dependencies have a big practical value. The comparison of all findings with corresponding problems numerical results and experimental data are also given.