The identification of engineering system parameters

Abstract

A procedure enabling the identification of the mass/inertia, damping and stiffness matrices for mechanical systems or the analogous inductance, resistance and capacitance matrices for electrical, fluid or thermal systems from measured results is developed. Analytical constraints that are mandatory are defined. Illustrative examples are provided.

Robust Stability with System Uncertainties

“…Moreover, the controller derived earlier for this representation does not appear to have an easily recognizable association with the admittance matrix. This is due to the complicated relationship between the elements of the impedance and admittance forms (see, for example, reference [12]). It is elementary to confirm the results obtained for this exercise by forming the four Kharitonov polynomials for the interval polynomial that forms the closedloop system denominator.…”

Analytical solution of distributed-lumped parameter network models

“…and the lumped elements are described by skewsymmetrical rational polynomial matrices in s, similar to equation (6). If now the distributed and lumped impedance matrices given in equations (5) and (6) where the distributed±lumped system matrix in impedance form is given by…”

“…where in equation (42) the following are given by equation (39): Separating and grouping the coefficients leads to (5). Following the substitution of w j (z j 1)=(z j À 1), j 2k, k 0, 1, these equations become, in pulse transfer function form,…”

Machine Tool Axis Dynamics

“…The distributed-lumped element of concern will be configured to replicate the dynamic behaviour of the x-axis lead screw. The remaining connected components, such as the motor drive, ball nut, bearings, and so on, will be assumed to be relatively concentrated, with their topology enabling the use of simple lumpedparameter methods, as in references [13].…”