Abstract
Results of an experimental and theoretical study of the mobility of a long, moderately thick-walled, pipe-like, cylindrical shell are reported. Experimental data for mobility are compared, over a wide frequency range not previously investigated, with analytical predictions based on thin-shell theory. Existing solutions for free vibrations of thin shells are extended to predict vibration response to a point force that varies sinusoidally with time, based on a normal-mode series solution. Practical convergence of the series is of special interest. The long, pipelike shell was chosen to make this convergence problem more severe since the resonances in some frequency ranges are very closely spaced. For most of the study, the ends of the experimental shell were free to move laterally, but the end cross section was restrained to maintain a circularshape; consequently, the shell was treated as free for the 1 = n or beam modes, and freely supported for the n = 2 or lobar modes. Some resonant frequencies are also included for the shell with completely free ends. Boundary conditions for the free-free shell are discussed.
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