Asymptotic Modal Analysis of Structural and Acoustical Systems

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
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