Vibration Analysis of Partially Cracked Thin Cylindrical Shell Immersed in Fluid


Mustafa A. Mohammed†*, Wael Najm Abdullah, Marwah Ali Husain††


Alsalam University College, Department of Medical Instrumentation Techniques Engineering, Iraq

Al-Mustansiriyah University, College of Engineering, Department of Mechanical Engineering, Baghdad, Iraq

††Alsalam University College, Department of Refrigeration and Air Conditioning Engineering Techniques, Iraq

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One of the complex fluid structure interaction dynamic problems is the vibration analysis related to thin cracked cylindrical shells, that is of high importance to detect any shell damage and monitor the condition of the shell. In the present study, governing equations with regard to transverse deflection regarding cracked shells immersed in fluid were obtained with the use of the conventional shell theory. In addition, fluid forces that are related to the inertial effects have been added in governing differential equation for incorporating fluid structure interaction effects, while the flexural rigidity equation was utilized for formulating crack coefficients for the purpose of accommodating the impact of a crack in governing equation, while the governing equation was Transformed into the simpler form with the use the theory of Donell-Mushtari-Vlasov (DMV) for getting fundamental frequency. The impact of parameters as crack position, crack depth, crack length, and shell geometry like thickness, radius, and the shell’s length was examined on natural frequency, also the simply supported boundary conditions have been specified in this study. Furthermore, this work is not just making significant contributions to the field of researches concentrating on vibration analysis related to cylindrical shells immersed in fluid, yet also offering a significant crack damage detection approach for the structures.