Fluid-Solid Coupling Dynamics

This lecture covers the dynamics of fluid-solid coupling systems, focusing on the behavior of parallel shear flows at high Reynolds numbers. It discusses low-dimensional models proposed by researchers, comparing their similarities and threshold amplitudes. The lecture also explores the stability analysis of coupled oscillators and the response to external disturbances. MATLAB simulations are used to analyze the eigenvalues, optimal gain, and system stability. The lecture concludes with a demonstration of the system's response to external forcing and the 2-norm analysis. Various concepts such as natural frequencies, coupling coefficients, and diagonal matrices are discussed in the context of fluid-solid interactions.