Asymptotic Modal Analysis of Structural and Acoustical Systems

Description

Preface Introduction Overview of Vibroacoustic Modal Analysis Background References Classical Modal Analysis with Random Excitations Introduction Structural System Lagrange Method Classical Modal Analysis Random Excitation Response Acoustic Cavity System Classical Modal Analysis Random Excitation by Sound Sources Random Excitation by Wall Panels Coupled Structural-Acoustic System Classical Modal Analysis Random Excitation Response Summary References Asymptotic Modal Analysis of Structural Systems Introduction Classical Modal Analysis Asymptotic Modal Analysis AMA Approximations Frequency Band Response Asymptotic Limit of Classical Modal Analysis AMA Applications Summary References Asymptotic Modal Analysis of Acoustic Cavity Systems Introduction Classical Modal Analysis Asymptotic Modal Analysis Sound Source Excitation Wall Panel Excitation AMA Applications Rectangular Enclosure Rectangular Cavity-Plate System Summary References Asymptotic Modal Analysis of Coupled Systems Introduction Classical Modal Analysis Lagrange Multiplier Method Equations-of-Motion Frequency Response Functions Coupled Natural Frequencies and Damping Random Excitation and Mean-Square Response Discrete Classical Modal Analysis Reduced-Order Model Random Excitation and Mean-Square Response Asymptotic Modal Analysis Modal Averaging Frequency Reduction and Frequency Band Response Applications Displacement Distribution Frequency Band Response Summary References Asymptotic Modal Analysis of Nonlinear Systems Introduction Classical Modal Analysis Formulation CMA Transient Solution Method Eigenvalue Analysis and Coupled Natural Frequencies Time Marching Method CMA Frequency Response Method Dominance-Reduced CMA Method Asymptotic Modal Analysis Method Results and Discussion Nonlinear Response Solution Method Comparisons Runtime Comparison Summary References Summary State of the Art in Predicting the Response of Systems with High Modal Density Two-Component System Example System Natural Modes and Frequencies Forced System Response Future Developments in AMA References Authors' Biographies Index Blank Page