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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Nonlinear forced response of circular cylindrical shells

Raouf, Raouf A. January 1985 (has links)
A combination of the Galerkin procedure and the method of multiple scales is used to analyze the nonlinear forced response of circular cylindrical shells in the presence of internal (autoparametric) resonances. If ω<sub>f</sub> and a<sub>f</sub> denote the frequency and amplitude of a flexural mode and ω<sub>b</sub> and a<sub>b</sub> denote the frequency and amplitude of the breathing mode, the steady-state response exhibits a saturation phenomenon when ω<sub>b</sub> ≈ 2w<sub>f</sub> if the shell is excited by a harmonic load having a frequency Ω near ω<sub>b</sub>. As the amplitude f of the excitation increases from zero, a<sub>b</sub> increases linearly whereas a<sub>f</sub> remains zero until a threshold is reached. This threshold is a function of the damping coefficients and ω<sub>b</sub> -2w<sub>f</sub>. Beyond this threshold, a<sub>b</sub> remains constant (i.e., the breathing mode saturates) and the extra energy spills over into the flexural mode. In other words, although the breathing mode is directly excited by the load, it absorbs a small amount of the input energy (responds with a small amplitude) and passes the rest of the input energy into the flexural mode (responds with a large amplitude). / M.S.

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