Interpolation-based condensation of algebraic semi-discrete models with frequency response application (Q1805439)

Condensation model reduction theory, a method of degree-of-freedom elimination for semi-discrete system models with response-prediction fidelity in the retained degrees-of-freedom (DOF), is applied to algebraic semi-discrete models. The condensation process makes use of an interpolation over a user-chosen subset, denoted as a ``window'', of the set of continuous-independent-variable values. One target of this capability is the DOF reduction of spatially-discrete, continuous-time- transformed (Fourier, Laplace, etc.) linear system models, for which the resulting semi-discrete model has frequency as the continuous independent variable. Another target of this capability is the DOF reduction of nonlinear, path-independent static or quasistatic models, for which the window corresponds to a region of the reduced-DOF-model solution space itself. As a demonstration, the method is applied to the frequency response of a non-periodic linear elastic laminate over a rectangular window in the complex frequency plane.