A PROPOSED ANALYTICAL SOLUTION OF CYLINDER SHELL CONTAINING A CIRCUMFERENTIAL PART-THROUGH FISSURE
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
This study proposes an analytical solution method for investigating vibrational characteristics for a tubular cylindrical shell of a finite-length and bares a circumferential part-through fissure. The effect of different parameters i,e, length, depth and the fissure's location, on the vibrational characteristics, were also investigated. The equations for motion, that are founded on the classical shell theory for the fissured shell were transformed into simpler equations via
... v (DMV) hypothesis. The equivalent bending stiffness of the shell (D) was calculated by an exponential function while taking into consideration the effect of the fissure. The analytical approach gave us results for a structure with simply supported (S-S) at both ends boundary conditions. The natural frequencies were obtained by solving the general equations on a program built for "MATLAB" SOFTWARE. The results that were obtained from the suggested modal were confirmed by the use of a modal created by ANSYS APDL ver.15 in addition to the results that were attained from literature. There was a passable agreement between the results of the analytical and FE model. The results set forth that as fissure's parameters, length & depth, Increasing them reduces the natural frequency, In addition to this, the natural frequency will also decrease if the fissure is located in the middle of the shell is larger than if it were in other locations.