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2021 | Book

Wave Propagation Approach for Structural Vibration

Author: Prof. Chongjian Wu

Publisher: Springer Singapore

Book Series : Springer Tracts in Mechanical Engineering


About this book

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.

Table of Contents

Chapter 1. The Basic Theory of Structure–Borne Noise
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
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
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
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
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
Common structures in engineering bear distributed forces, and the excitation components include distributed forces.
Chongjian Wu
Chapter 7. Discrete Distributed Tuned Mass Damper
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
It is necessary to review the basic characteristics of single/double-stage vibration isolation.
Chongjian Wu
Chapter 9. Vibration Power Flow and Experimental Investigation
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
Wave Propagation Approach for Structural Vibration
Prof. Chongjian Wu
Copyright Year
Springer Singapore
Electronic ISBN
Print ISBN

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