Multiparameter Identification in Linear Continuous Vibratory Systems

Abstract

A method is presented for identifying unknown parameters in linear continuous vibratory systems from frequency response data. The method is applicable to systems for which the steady-state equations of motion are reducible to a finite set of ordinary differential equations. After assuming a system model of partial differential equations and boundary conditions containing unknown parameters, initial value numerical integrations are performed to identify the unknown parameters. No analytic solution to the system model is required. For the identification of conservative or near conservative systems, only resonant frequency data are used and, for the identification of nonconservative systems, the data may consist of any state variable or combination of state variables at any arbitrary location within the system. The use of multiple response transducers is not required.