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Acoustic fluid solid interaction (AFSI) has been a subject of high interest for the last decade and the literature is now extensive. Noise transmission into and radiation from a rectangular cavity through a flexible structure in a noisy/thermal environment at supersonic flow is studied. In the present book, the pre/post -flutter regions are considered in a nonlinear study. The governing equations of flexible panel are constructed using Von Karman theory, first-order piston theory and a modal cavity formulation; also a stationary homogeneous turbulent-boundary-layer (TBL) is modeled based on experimental data through stochastic modeling. The thermal environment and external incident random noise are also considered and the far-field sound is predicted with a boundary integral method. The Rayleigh-Ritz approach is adopted to discretize the partial differential equations of the AFSI system, and the resulting ordinary differential equations (ODEs) are solved numerically by the fourth-order Runge-Kutta with Matlab. additionally, Matlab codes are presented in the Appendix section.