Active control of the transmission of sound through a thin cylindrical shell: Part I : The minimization of vibrational energy

Thomas, D. R., Nelson, P. A. and Elliott, S. J. (1993) Active control of the transmission of sound through a thin cylindrical shell: Part I : The minimization of vibrational energy. Journal of Sound and Vibration, 167 (1), 91-111. (doi:10.1006/jsvi.1993.1323).

Abstract

An analytical model of an aircraft fuselage, previously used by Bullmore et al., is outlined, in which Goldenveizer-Novozhilov thin shell theory is used to model the structural response. A cost function, proportional to the total kinetic energy in the cylindrical shell is minimized by a number of secondary force inputs given an arbitrary primary force distribution. It is shown that the cost function is minimized by a unique vector of complex secondary forces. Similar analysis is carried out for a cost function related to the kinetic energy associated with the radial motion of the shell. The results of a number of computer simulations are presented. Various configurations of secondary force distribution of different size and shape have been used to minimize the cost function given a simulated propeller field acting on the cylinder at 88 Hz, the fundamental blade passage frequency of the real aircraft. It is shown to be very difficult to obtain significant reductions in vibrational energy if realistic numbers of secondary forces at the frequency considered are used.

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Contributors

Author: P. A. Nelson

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