Analysis of MDOF nonlinear systems using associated linear equations

Until now, the recently developed associated linear equations (ALEs) have been used for the analysis, identification and control of only single-degree-of-freedom (SDOF) systems. This form of the theory has proved adequate for the analysis of certain cases of interest in actuator/sensor technology; however, it is more common to find the multi-degree-of-freedom (MDOF) case in structural dynamics and this paper extends the theory of ALEs to this latter case.