000723729 000__ 05448cam\a2200541Ii\4500 000723729 001__ 723729 000723729 005__ 20230306140353.0 000723729 006__ m\\\\\o\\d\\\\\\\\ 000723729 007__ cr\cn\nnnunnun 000723729 008__ 141013t20142015nyua\\\\o\\\\\000\0\eng\d 000723729 019__ $$a908088007 000723729 020__ $$a9781493916405$$qelectronic book 000723729 020__ $$a1493916408$$qelectronic book 000723729 020__ $$z9781493916399 000723729 0247_ $$a10.1007/978-1-4939-1640-5$$2doi 000723729 035__ $$aSP(OCoLC)ocn892843879 000723729 035__ $$aSP(OCoLC)892843879$$z(OCoLC)908088007 000723729 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dN$T$$dYDXCP$$dOCLCF$$dIDEBK$$dCDX$$dEBLCP 000723729 049__ $$aISEA 000723729 050_4 $$aTA365 000723729 08204 $$a620.201/5118$$223 000723729 1001_ $$aWu, Sean F.,$$eauthor. 000723729 24514 $$aThe Helmholtz equation least squares method$$h[electronic resource] :$$bfor reconstructing and predicting acoustic radiation /$$cSean F. Wu. 000723729 264_1 $$aNew York, NY :$$bSpringer,$$c[2014] 000723729 264_4 $$c©2015 000723729 300__ $$a1 online resource (xiii, 233 pages) :$$billustrations (some color). 000723729 336__ $$atext$$btxt$$2rdacontent 000723729 337__ $$acomputer$$bc$$2rdamedia 000723729 338__ $$aonline resource$$bcr$$2rdacarrier 000723729 4901_ $$aModern Acoustics and Signal Processing 000723729 504__ $$aIncludes bibliographical references and index. 000723729 5050_ $$aPreface; 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 000723729 5058_ $$a3.1 The HELS Formulations3.2 Reconstructing the Radiated Acoustic Field; 3.3 Predicting the Radiated Acoustic Field; 3.4 Error Analyses; 3.5 Regularization; 3.6 Regularization Through Truncation of the Expansion Functions; 3.7 Other Regularization Techniques; Chapter 4: Validity of the HELS Method; 4.1 Rayleigh Hypothesis; 4.2 The Rayleigh Series Versus HELS Formulations; 4.3 Justification of the HELS Formulations; 4.4 Significance of the Justification; Chapter 5: Implementation of the HELS-Based NAH; 5.1 Guidelines for Implementing the HELS Method 000723729 5058_ $$a5.2 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 000723729 5058_ $$a8.2 Distributed Spherical Waves8.3 Distributed Point Sources; 8.4 Regularization for LSW, DSW, and DPS Expansions; 8.5 Performances of LSW, DSW, and DPS Expansions; 8.6 Locations of the Auxiliary Sources; 8.7 Condition Number of the Transfer Matrices; 8.8 Effect of Measurement Number; 8.9 Choice of Regularization; Chapter 9: Transient HELS; 9.1 Transient Acoustic Radiation; 9.2 Residue Theorem; 9.3 Extension to Arbitrary Time-Dependent Excitations; 9.4 Transient NAH Formulations; 9.4.1 Reconstruction Through BEM-Based NAH; 9.4.2 Reconstruction Through HELS-Based NAH 000723729 5058_ $$a9.4.3 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 000723729 506__ $$aAccess limited to authorized users. 000723729 520__ $$aThis book is written for those who want to learn the state-of-the-art technology on visualizing acoustic radiation from vibrating objects, to understand difficulties involved in these inverse acoustic problems, and to acquire the information necessary to conduct successful vibro-acoustic diagnostics on their own.℗ Attention is focused on the new development on nearfield acoustical holography (NAH) beyond the traditional Fourier acoustics that are suitable for separable geometries only.℗ Specifically, it presents:-Helmholtz equation least squares (HELS) method-inverse Helmholtz integral equatio. 000723729 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 13, 2014). 000723729 650_0 $$aAcoustical engineering$$xMathematical models. 000723729 650_0 $$aHelmholtz equation. 000723729 650_0 $$aLeast squares. 000723729 77608 $$iPrint version:$$aWU, SEAN$$tThe Helmholtz Equation Least Squares Method : For Reconstructing and Predicting Acoustic Radiation$$dNew York, NY : Springer New York,c2014$$z9781493916399 000723729 830_0 $$aModern acoustics and signal processing. 000723729 852__ $$bebk 000723729 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-1-4939-1640-5$$zOnline Access$$91397441.1 000723729 909CO $$ooai:library.usi.edu:723729$$pGLOBAL_SET 000723729 980__ $$aEBOOK 000723729 980__ $$aBIB 000723729 982__ $$aEbook 000723729 983__ $$aOnline 000723729 994__ $$a92$$bISE