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Table of Contents
Preface; Contents; Chapter 1: Introduction; 1.1 Conventional Noise and Vibration Diagnoses; 1.2 Holography; 1.3 Acoustical Holography; 1.4 Near-Field Acoustical Holography; 1.5 Fourier Transform-Based NAH; 1.6 Boundary Element Method-Based NAH; 1.7 Helmholtz Equation Least-Squares Method-Based NAH; Chapter 2: The Spherical Wave Functions; 2.1 The Helmholtz Equation Under the Spherical Coordinates; 2.2 Solution to R(kr); 2.3 Solution to Theta(theta); 2.4 Solution to Phi(phi); 2.5 Solution to (r, theta, phi; omega); Chapter 3: The Helmholtz Equation Least-Squares Method
3.1 The HELS Formulations3.2 Reconstructing the Radiated Acoustic Field; 3.3 Predicting the Radiated Acoustic Field; 3.4 Error Analyses; 3.5 Regularization; 3.6 Regularization Through Truncation of the Expansion Functions; 3.7 Other Regularization Techniques; Chapter 4: Validity of the HELS Method; 4.1 Rayleigh Hypothesis; 4.2 The Rayleigh Series Versus HELS Formulations; 4.3 Justification of the HELS Formulations; 4.4 Significance of the Justification; Chapter 5: Implementation of the HELS-Based NAH; 5.1 Guidelines for Implementing the HELS Method
5.2 Practical Considerations in Implementing the HELS Method5.3 Test Configuration; 5.4 Test Environment; 5.5 Clarifications; Chapter 6: Combined Helmholtz Equation Least-Squares (CHELS) Method; 6.1 The Helmholtz Integral Theory; 6.2 Nonuniqueness Difficulties; 6.3 Discrete Helmholtz Integral Formulations; 6.4 The Combined Helmholtz Equation Least-Squares Method; 6.5 Applications of the CHELS Method; Chapter 7: Hybrid NAH; 7.1 Modified HELS; 7.2 Hybrid NAH; 7.3 Reconstructing Acoustic Fields Using the Hybrid NAH; Chapter 8: Equivalent Sources Using HELS; 8.1 Localized Spherical Waves
8.2 Distributed Spherical Waves8.3 Distributed Point Sources; 8.4 Regularization for LSW, DSW, and DPS Expansions; 8.5 Performances of LSW, DSW, and DPS Expansions; 8.6 Locations of the Auxiliary Sources; 8.7 Condition Number of the Transfer Matrices; 8.8 Effect of Measurement Number; 8.9 Choice of Regularization; Chapter 9: Transient HELS; 9.1 Transient Acoustic Radiation; 9.2 Residue Theorem; 9.3 Extension to Arbitrary Time-Dependent Excitations; 9.4 Transient NAH Formulations; 9.4.1 Reconstruction Through BEM-Based NAH; 9.4.2 Reconstruction Through HELS-Based NAH
9.4.3 Transient NAH Formulations9.4.4 Applications of the Transient NAH Formulations; Chapter 10: Panel Acoustic Contribution Analysis Using HELS; 10.1 The HELS-Based Panel Acoustic Contribution Analysis; 10.2 Procedures for Conducting HELS-Based Panel Acoustic Contributions Analyses; 10.3 Stories of Panel Acoustic Contributions Analyses; 10.3.1 Story 1: Sound Transmission Paths; 10.3.2 Story 2: Panel Acoustic Contribution Analyses; 10.3.3 Story 3: Engine Block Noise Analyses; References; Index
3.1 The HELS Formulations3.2 Reconstructing the Radiated Acoustic Field; 3.3 Predicting the Radiated Acoustic Field; 3.4 Error Analyses; 3.5 Regularization; 3.6 Regularization Through Truncation of the Expansion Functions; 3.7 Other Regularization Techniques; Chapter 4: Validity of the HELS Method; 4.1 Rayleigh Hypothesis; 4.2 The Rayleigh Series Versus HELS Formulations; 4.3 Justification of the HELS Formulations; 4.4 Significance of the Justification; Chapter 5: Implementation of the HELS-Based NAH; 5.1 Guidelines for Implementing the HELS Method
5.2 Practical Considerations in Implementing the HELS Method5.3 Test Configuration; 5.4 Test Environment; 5.5 Clarifications; Chapter 6: Combined Helmholtz Equation Least-Squares (CHELS) Method; 6.1 The Helmholtz Integral Theory; 6.2 Nonuniqueness Difficulties; 6.3 Discrete Helmholtz Integral Formulations; 6.4 The Combined Helmholtz Equation Least-Squares Method; 6.5 Applications of the CHELS Method; Chapter 7: Hybrid NAH; 7.1 Modified HELS; 7.2 Hybrid NAH; 7.3 Reconstructing Acoustic Fields Using the Hybrid NAH; Chapter 8: Equivalent Sources Using HELS; 8.1 Localized Spherical Waves
8.2 Distributed Spherical Waves8.3 Distributed Point Sources; 8.4 Regularization for LSW, DSW, and DPS Expansions; 8.5 Performances of LSW, DSW, and DPS Expansions; 8.6 Locations of the Auxiliary Sources; 8.7 Condition Number of the Transfer Matrices; 8.8 Effect of Measurement Number; 8.9 Choice of Regularization; Chapter 9: Transient HELS; 9.1 Transient Acoustic Radiation; 9.2 Residue Theorem; 9.3 Extension to Arbitrary Time-Dependent Excitations; 9.4 Transient NAH Formulations; 9.4.1 Reconstruction Through BEM-Based NAH; 9.4.2 Reconstruction Through HELS-Based NAH
9.4.3 Transient NAH Formulations9.4.4 Applications of the Transient NAH Formulations; Chapter 10: Panel Acoustic Contribution Analysis Using HELS; 10.1 The HELS-Based Panel Acoustic Contribution Analysis; 10.2 Procedures for Conducting HELS-Based Panel Acoustic Contributions Analyses; 10.3 Stories of Panel Acoustic Contributions Analyses; 10.3.1 Story 1: Sound Transmission Paths; 10.3.2 Story 2: Panel Acoustic Contribution Analyses; 10.3.3 Story 3: Engine Block Noise Analyses; References; Index