Part 2: Proper orthogonal modal modeling of a frictionally excited beam

Proper orthogonal modes (POMs) are used for order reduction in a beam with frictional excitation. The distributed model is based on an Euler-Bernoulli beam with frictional excitation. The friction is modeled with Coulomb's law and contact compliance, and the contact surface undergoes an imposed oscillation. The POMs are selected from a chaotic response to build the reduced system model. These POMs are extrapolated into proper orthogonal modal functions (POMFs) by using the linear normal modes as basis functions. The POMFs are used as the basis for projection the partial differential equation of motion to a low-order set of ordinary differential equations. Simulated responses based on the POMFs and linear normal modes are compared to that of a 'truth set' simulation, which is based on ten linear normal modes.