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## Über dieses Buch

This book is intended for researchers, graduate students and engineers in the fields of structure-borne sound, structural dynamics, and noise and vibration control.

Based on vibration differential equations, it presents equations derived from the exponential function in the time domain, providing a unified framework for structural vibration analysis, which makes it more regular and normalized. This wave propagation approach (WPA) divides structures at “discontinuity points,” and the waves show characteristics of propagation, reflection, attenuation, and waveform conversion. In each segment of the system between two “discontinuity points,” the governing equation and constraint are expressed accurately, allowing the dynamic properties of complex systems to be precisely obtained.

Starting with basic structures such as beams and plates, the book then discusses theoretical research on complicated and hybrid dynamical systems, and demonstrates that structural vibration can be analyzed from the perspective of elastic waves by applying WPA.

## Inhaltsverzeichnis

### Chapter 1. The Basic Theory of Structure–Borne Noise

Abstract
Before we discuss the WPA method, it is necessary to examine the basic theory of structural vibration noise, including basic parameters such as wave number, wavelength, and lateral displacement. The examination of continuous systems such as the bending vibration of a beam and a plate is the focus of this chapter. The vibration modes and natural frequencies of beams and plates are discussed and then the sound pressure, sound power, and sound radiation efficiency of simple structures are analyzed and discussed.
Chongjian Wu

### Chapter 2. Basic Theory of WPA

Abstract
When calculating the earth's orbit, John Napier was plagued by the vast volume of calculations required. “Seeing there is nothing so troublesome to mathematical practice, nor that doth more molest and hinder calculators, than the multiplications, divisions, square and cubical extractions of great numbers, which besides the tedious expense of time are for the most part subject to many slippery errors, I began therefore to consider in my mind by what certain and ready art I might remove those hindrances.”
Chongjian Wu

### Chapter 3. Analysis of Plate Structure Using WPA Method

Abstract
When point harmonic force or acoustic wave excitation acts on the surface of a structure, the wave propagates in the structure and the structure generates vibration. However, when structural wave propagation encounters.
Chongjian Wu

### Chapter 4. WPA for Analyzing Complex Beam Structures

Abstract
Beam structures can be abstracted from many engineering practices. The system needs to be simplified and abstracted in order to obtain its basic characteristics.
Chongjian Wu

### Chapter 5. WPA for Analyzing Hybrid Dynamic Systems

Abstract
The system that is comprised of continuous elastomer and discrete lumped mass is called a hybrid dynamic system in dynamics. In hybrid dynamic system engineering, for instance, the bridge and fuel tank for military vehicles, heavy-duty artillery on ships, heavy-duty machine guns on aircrafts, etc., can be considered the lumped mass on elastic structures. The Tuned Mass Damper (TMD) is organized around the aircraft cabin. The main structure can also be abstracted as a hybrid dynamic system.
Chongjian Wu

### Chapter 6. WPA for Calculating Response Under Distributed Force Excitation

Abstract
Common structures in engineering bear distributed forces, and the excitation components include distributed forces.
Chongjian Wu

### Chapter 7. Discrete Distributed Tuned Mass Damper

Abstract
Tuned Mass Damper (TMD) is a passive device that conducts vibration energy exchange through tuning and is used to control the vibration of the main vibrating body. Its applications include controlling the low frequency vibration of bridges, ship mast jitter, auxiliary vibration energy transmission, and the noise leakage control of floating raft structures, etc. It also has a notable effect on tuning frequency points.
Chongjian Wu

### Chapter 8. Analysis of Raft Using WPA Method

Abstract
It is necessary to review the basic characteristics of single/double-stage vibration isolation.
Chongjian Wu

### Chapter 9. Vibration Power Flow and Experimental Investigation

Abstract
Also known as “vibration energy flow”, vibration power flow was initiated by the internationally renowned scholar R.G. White of the Institute of Sound and Vibration Research (ISVR) in the UK. The theoretical research and engineering practice of power flow provides new theoretical methods and analytical perspectives for structural dynamics design.
Chongjian Wu

### Backmatter

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