The Application of the Singular Value Decomposition (SVD) for the Decoupling of the Vibratory Reproduction System of an Aircraft Cabin Simulator

Abstract

Mechanical systems excited by vibratory point-sources, tend to suffer from interference among axes, due to characteristics of the reproduction system or difficulties associated with the application of the excitation forces on the system's masscenter. Thus, when it is necessary to excite the system independently in different directions, control techniques are needed for the correct reproduction of the desired signals. This work presents the developments for the reproduction of vibrations in two directions, on platforms employed as the base of seats of an aircraft cabin simulator. Each platform is independently excited by two orthogonal shakers, located in the geometrical center of the latter. Based on an evaluation of the degree of coupling between both orthogonal axes, signal processing solutions for the decoupling problem are proposed. Using SVD to diagonalize the transfer-function-matrix, an independent base for the system was identified. Some preliminary evaluations using inverse static filters show that the proposed method can provide the desired results.