Matrix Quadratic Models

Abstract

Process mechanical system models are considered and the techniques for analysis are discussed. A method for the investigation of system models which possess multiple degrees of freedom is outlined. To illustrate this general procedure the dynamical response of a pulp blender-beater, with dual impellers and five degrees of freedom, for paper and board manufacturing is computed.

Optimum control of a mechanical drive for a weapon platform

“…The ®rst model given by equation (2) in Section 3 has a matrix quadratic impedance structure, as described in Whalley et al [6] which is simple and appealing. The second realization given by equation (3) has transfer function or admittance form.…”

Robust Stability with System Uncertainties

“…The coefficients of these equations may vary considerably, with changes in operating and/or environmental conditions and with system ageing and wear. Matrix quadratic impedance equations, as shown by Rao [1], Dutton et al [2] and Whalley et al [3], etc., comprise arrays that are generally referred to as the mass-inertia, friction and stiffness matrices for mechanical systems. Usually, the friction or damping coefficient matrix is known with least confidence.…”