Multiple Scale Methods for Stability Analysis of Fluid-Structure Systems

摘要

Multiple scale methods, which are based on discrete and continuous reproducingkernels, wavelets, and integral window transforms are developed . In this development, a microscope is constructed with a flexible space-time localized window function which translates and dilates in space and time to cover the entire domain of interest. This microscope can magnify, examine, and record the image of the various scales and frequencies of the response locally within the support of the window function. The degree of magnification will depend on the power of the microscope, a flexible space-scale and time-frequency window function. This complete characterization of the unknown response is performed through the integral window transform. This localization process can be achieved by dilating the flexible multiple-scale window function. The zoom in and zoom out capability of the window function is especially useful in examining complex flow phenomena, such as flow induced vibration, dynamic stability of flow-structure interaction, turbulence structures, and high frequency structural dynamics response.