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  • Book
  • © 2015

The Helmholtz Equation Least Squares Method

For Reconstructing and Predicting Acoustic Radiation

Authors:

  • Covers practical aspects of noise and vibration analysis and control

  • HELS method simplifies the process of reconstructing acoustic fields

  • Explains the differences and interrelationships between the Rayleigh series and the HELS method

  • Includes supplementary material: sn.pub/extras

Part of the book series: Modern Acoustics and Signal Processing (MASP)

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • ISBN: 978-1-4939-1640-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 119.99
Price excludes VAT (USA)
Hardcover Book USD 129.00
Price excludes VAT (USA)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Sean F. Wu
    Pages 1-10
  3. The Spherical Wave Functions

    • Sean F. Wu
    Pages 11-26
  4. Validity of the HELS Method

    • Sean F. Wu
    Pages 63-79
  5. Implementation of the HELS-Based NAH

    • Sean F. Wu
    Pages 81-99
  6. Hybrid NAH

    • Sean F. Wu
    Pages 129-144
  7. Equivalent Sources Using HELS

    • Sean F. Wu
    Pages 145-162
  8. Transient HELS

    • Sean F. Wu
    Pages 163-193
  9. Back Matter

    Pages 221-233

About this book

This book represents the HELS (Helmholtz equation least squares) theory and its applications for visualizing acoustic radiation from an arbitrarily shaped vibrating structure in free or confined space. It culminates the most updated research work of the author and his graduate students since 1997. The book contains six chapters. The first serves as a review of the fundamentals in acoustics and the rest cover five specific topics on the HELS theory.

Keywords

  • Helmholtz Least Squares Method implementation
  • non-spherical nearfield acoustic holography
  • predicting acoustic fields
  • reconstructing acoustic fields
  • solving NVH issues
  • transient nearfield acoustical holography

Authors and Affiliations

  • Department of Mechanical Engineering, Wayne State University, Detroit, USA

    Sean F. Wu

About the author

Sean F. Wu received his Ph.D. from Georgia Institute of Technology, U.S.A. in 1987. He joined the Mechanical Engineering Department at Wayne State University as an Assistant Professor in 1988, was promoted to Associate Professor in 1995 and Professor in 1999, was selected in an unanimous vote as the Charles DeVlieg Professor in 2002 and appointed by the Board of Governors to the rank of University Distinguished Professor in 2005.

Dr. Wu holds the rank of Fellow in the American Society of Mechanical Engineers and the Acoustical Society of America, and serves as an Associate Editor and Express Letter Editor for the Journal of the Acoustical Society of America and Co-Editor-In-Chief for Journal of Computational Acoustics.

Bibliographic Information

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • ISBN: 978-1-4939-1640-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 119.99
Price excludes VAT (USA)
Hardcover Book USD 129.00
Price excludes VAT (USA)