| Description |
1 online resource (126 p.) |
| Series |
Synthesis Lectures on Mechanical Engineering Ser |
|
Synthesis Lectures on Mechanical Engineering Ser
|
| Contents |
Intro -- 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 |
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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 |
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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 |
| Summary |
This book describes the Asymptotic Modal Analysis (AMA) method to predict the high-frequency vibroacoustic response of structural and acoustical systems. The AMA method is based on taking the asymptotic limit of Classical Modal Analysis (CMA) as the number of modes in the structural system or acoustical system becomes large in a certain frequency bandwidth. While CMA requires both the computation of individual modes and a modal summation, AMA evaluates the averaged modal response only at a center frequency of the bandwidth and does not sum the individual contributions from each mode to obtain a final result. It is similar to Statistical Energy Analysis (SEA) in this respect. However, while SEA is limited to obtaining spatial averages or mean values (as it is a statistical method), AMA is derived systematically from CMA and can provide spatial information as well as estimates of the accuracy of the solution for a particular number of modes. A principal goal is to present the state-of-the-art of AMA and suggest where further developments may be possible. A short review of the CMA method as applied to structural and acoustical systems subjected to random excitation is first presented. Then the development of AMA is presented for an individual structural system and an individual acoustic cavity system, as well as a combined structural-acoustic system. The extension of AMA for treating coupled or multi-component systems is then described, followed by its application to nonlinear systems. Finally, the AMA method is summarized and potential further developments are discussed |
| Notes |
Print version record |
| Subject |
Vibration.
|
|
Modal analysis.
|
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Vibration -- Mathematical models
|
|
vibration (physical)
|
|
Modal analysis
|
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Vibration
|
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Vibration -- Mathematical models
|
| Form |
Electronic book
|
| Author |
Culver, Dean R
|
|
Nefske, Donald J
|
|
Dowell, Earl H
|
| ISBN |
1681739887 |
|
9781681739885 |
|
9783031796890 |
|
3031796896 |
|
