{"product_id":"noise-and-vibration-analysis-isbn-9781118962183","title":"Noise and Vibration Analysis","description":"\u003cb\u003eNOISE AND VIBRATION ANALYSIS\u003c\/b\u003e \u003cp\u003e\u003cb\u003eComplete guide to signal processing and modal analysis theory, with coverage of practical applications and a plethora of learning tools\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003eFeaturing numerous line diagrams and illustrations, the newly revised and updated Second Edition of \u003ci\u003eNoise and Vibration Analysis\u003c\/i\u003e is a comprehensive and practical guide that combines both signal processing and modal analysis theory with their practical application in noise and vibration analysis. This new edition has been updated with three new chapters covering experimental modal analysis, operational modal analysis, and practical vibration measurements. \u003c\/p\u003e\u003cp\u003eTaking a practical learning approach, the text includes exercises that allow the content to be developed in an academic course framework or as supplementary material for private and further study, including multiple choice questions at the end of each chapter. An accompanying website hosts a MATLAB\u003csup\u003e®\u003c\/sup\u003e toolbox, additional problems and examples, and videos. \u003c\/p\u003e\u003cp\u003eWritten by a highly qualified author with significant experience in the field, \u003ci\u003eNoise and Vibration Analysis\u003c\/i\u003e covers topics such as: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eDynamic signals and systems, covering periodic, random, and transient signals, RMS value and power, and the Continuous Fourier Transform\u003c\/li\u003e \u003cli\u003eTime data analysis, covering the sampling theorem, analog, digital, smoothing, and acoustic octave filters, time data differentiation, and FFT-based processing\u003c\/li\u003e \u003cli\u003eStatistics and random processes, covering expected value, errors in estimates, and probability distribution in random theory, and tests of normality and stationarity\u003c\/li\u003e \u003cli\u003eFundamental mechanics, covering Newton’s laws, alternative quantities for describing motion, frequency response plot formats, and rotating mass\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003e\u003ci\u003eNoise and Vibration Analysis\u003c\/i\u003e is an excellent resource for researchers and engineers from the automotive, aerospace, mechanical, or electronics industries who work with experimental or analytical vibration analysis and\/or acoustics. The text is also valuable for graduate students enrolled in vibration analysis, experimental structural dynamics, or applied signal analysis courses. \u003c\/p\u003e\u003cp\u003eAbout the Author xix\u003c\/p\u003e \u003cp\u003ePreface xxi\u003c\/p\u003e \u003cp\u003eAcknowledgments xxv\u003c\/p\u003e \u003cp\u003eList of Abbreviations xxvii\u003c\/p\u003e \u003cp\u003eAnnotation xxix\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Noise and Vibration 1\u003c\/p\u003e \u003cp\u003e1.2 Noise and Vibration Analysis 2\u003c\/p\u003e \u003cp\u003e1.3 Application Areas 3\u003c\/p\u003e \u003cp\u003e1.4 Analysis of Noise and Vibrations 4\u003c\/p\u003e \u003cp\u003e1.5 Standards 5\u003c\/p\u003e \u003cp\u003e1.6 Becoming a Noise and Vibration Analysis Expert 5\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Dynamic Signals and Systems 9\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 9\u003c\/p\u003e \u003cp\u003e2.2 Periodic Signals 11\u003c\/p\u003e \u003cp\u003e2.3 Random Signals 16\u003c\/p\u003e \u003cp\u003e2.4 Transient Signals 17\u003c\/p\u003e \u003cp\u003e2.5 RMS Value and Power 18\u003c\/p\u003e \u003cp\u003e2.6 Linear Systems 19\u003c\/p\u003e \u003cp\u003e2.7 The Continuous Fourier Transform 29\u003c\/p\u003e \u003cp\u003e2.8 Chapter Summary 35\u003c\/p\u003e \u003cp\u003e2.9 Problems 36\u003c\/p\u003e \u003cp\u003eReferences 38\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Time Data Analysis 39\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction to Discrete Signals 39\u003c\/p\u003e \u003cp\u003e3.2 The Sampling Theorem 40\u003c\/p\u003e \u003cp\u003e3.3 Filters 48\u003c\/p\u003e \u003cp\u003e3.4 Time Series Analysis 57\u003c\/p\u003e \u003cp\u003e3.5 Chapter Summary 66\u003c\/p\u003e \u003cp\u003e3.6 Problems 67\u003c\/p\u003e \u003cp\u003eReferences 68\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Statistics and Random Processes 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction to the Use of Statistics 71\u003c\/p\u003e \u003cp\u003e4.2 Random Theory 73\u003c\/p\u003e \u003cp\u003e4.3 Statistical Methods 83\u003c\/p\u003e \u003cp\u003e4.4 Quality Assessment of Measured Signals 91\u003c\/p\u003e \u003cp\u003e4.5 Chapter Summary 94\u003c\/p\u003e \u003cp\u003e4.6 Problems 95\u003c\/p\u003e \u003cp\u003eReferences 96\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Fundamental Mechanics 97\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Newton’s Laws 97\u003c\/p\u003e \u003cp\u003e5.2 The Single Degree-of-Freedom System (SDOF) 98\u003c\/p\u003e \u003cp\u003e5.3 Alternative Quantities for Describing Motion 106\u003c\/p\u003e \u003cp\u003e5.4 Frequency Response Plot Formats 108\u003c\/p\u003e \u003cp\u003e5.5 Determining Natural Frequency and Damping Ratio 113\u003c\/p\u003e \u003cp\u003e5.6 Rotating Mass 115\u003c\/p\u003e \u003cp\u003e5.7 Some Comments on Damping 116\u003c\/p\u003e \u003cp\u003e5.8 Models Based on SDOF Approximations 118\u003c\/p\u003e \u003cp\u003e5.9 The Two Degree of Freedom System (2DOF) 121\u003c\/p\u003e \u003cp\u003e5.10 The Tuned Damper 123\u003c\/p\u003e \u003cp\u003e5.11 Chapter Summary 125\u003c\/p\u003e \u003cp\u003e5.12 Problems 126\u003c\/p\u003e \u003cp\u003eReferences 127\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Modal Analysis Theory 129\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Waves on a String 129\u003c\/p\u003e \u003cp\u003e6.2 Matrix Formulations 131\u003c\/p\u003e \u003cp\u003e6.3 Eigenvalues and Eigenvectors 132\u003c\/p\u003e \u003cp\u003e6.4 Frequency Response of MDOF Systems 146\u003c\/p\u003e \u003cp\u003e6.5 Free Decays 155\u003c\/p\u003e \u003cp\u003e6.6 Chapter Summary 156\u003c\/p\u003e \u003cp\u003e6.7 Problems 157\u003c\/p\u003e \u003cp\u003eReferences 158\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Transducers for Noise and Vibration Analysis 159\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 The Piezoelectric Effect 159\u003c\/p\u003e \u003cp\u003e7.2 The Charge Amplifier 160\u003c\/p\u003e \u003cp\u003e7.3 Transducers with Built-In Impedance Converters, “IEPE” 162\u003c\/p\u003e \u003cp\u003e7.4 The Piezoelectric Accelerometer 165\u003c\/p\u003e \u003cp\u003e7.5 The Piezoelectric Force Transducer 170\u003c\/p\u003e \u003cp\u003e7.6 The Impedance Head 171\u003c\/p\u003e \u003cp\u003e7.7 The Impulse Hammer 172\u003c\/p\u003e \u003cp\u003e7.8 Accelerometer Calibration 173\u003c\/p\u003e \u003cp\u003e7.9 Measurement Microphones 174\u003c\/p\u003e \u003cp\u003e7.10 Microphone Calibration 175\u003c\/p\u003e \u003cp\u003e7.11 The Geophone 175\u003c\/p\u003e \u003cp\u003e7.12 MEMS-based Sensors 176\u003c\/p\u003e \u003cp\u003e7.13 Shakers for Structure Excitation 177\u003c\/p\u003e \u003cp\u003e7.14 Some Comments on Measurement Procedures 178\u003c\/p\u003e \u003cp\u003e7.15 Problems 180\u003c\/p\u003e \u003cp\u003eReferences 181\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Frequency Analysis Theory 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Periodic Signals – The Fourier Series 183\u003c\/p\u003e \u003cp\u003e8.2 Spectra of Periodic Signals 185\u003c\/p\u003e \u003cp\u003e8.3 Random Processes 187\u003c\/p\u003e \u003cp\u003e8.4 Transient Signals 189\u003c\/p\u003e \u003cp\u003e8.5 Interpretation of Spectra 189\u003c\/p\u003e \u003cp\u003e8.6 Chapter Summary 191\u003c\/p\u003e \u003cp\u003e8.7 Problems 192\u003c\/p\u003e \u003cp\u003eReferences 193\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Experimental Frequency Analysis 195\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Frequency Analysis Principles 195\u003c\/p\u003e \u003cp\u003e9.2 Octave and Third-Octave Band Spectra 197\u003c\/p\u003e \u003cp\u003e9.3 The Discrete Fourier Transform (DFT) 198\u003c\/p\u003e \u003cp\u003e9.4 Chapter Summary 224\u003c\/p\u003e \u003cp\u003e9.5 Problems 225\u003c\/p\u003e \u003cp\u003eReferences 226\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Spectrum and Correlation Estimates Using the DFT 229\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Averaging 229\u003c\/p\u003e \u003cp\u003e10.2 Spectrum Estimators for Periodic Signals 230\u003c\/p\u003e \u003cp\u003e10.3 Estimators for PSD and CSD 233\u003c\/p\u003e \u003cp\u003e10.4 Estimators for Correlation Functions 250\u003c\/p\u003e \u003cp\u003e10.5 Estimators for Transient Signals 258\u003c\/p\u003e \u003cp\u003e10.6 A Signal Processing Framework for Spectrum and Correlation Estimation 260\u003c\/p\u003e \u003cp\u003e10.7 Spectrum Estimation in Practice 262\u003c\/p\u003e \u003cp\u003e10.8 Multichannel Spectral and Correlation Analysis 273\u003c\/p\u003e \u003cp\u003e10.9 Chapter Summary 276\u003c\/p\u003e \u003cp\u003e10.10 Problems 277\u003c\/p\u003e \u003cp\u003eReferences 278\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Measurement and Analysis Systems 281\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Principal Design 282\u003c\/p\u003e \u003cp\u003e11.2 Hardware for Noise and Vibration Analysis 283\u003c\/p\u003e \u003cp\u003e11.3 FFT Analysis Software 295\u003c\/p\u003e \u003cp\u003e11.4 Chapter Summary 299\u003c\/p\u003e \u003cp\u003e11.5 Problems 300\u003c\/p\u003e \u003cp\u003eProblems 300\u003c\/p\u003e \u003cp\u003eReferences 301\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Rotating Machinery Analysis 303\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Vibrations in Rotating Machines 303\u003c\/p\u003e \u003cp\u003e12.2 Understanding Time–Frequency Analysis 304\u003c\/p\u003e \u003cp\u003e12.3 Rotational Speed Signals (Tachometer Signals) 306\u003c\/p\u003e \u003cp\u003e12.4 RPM Maps 308\u003c\/p\u003e \u003cp\u003e12.5 Smearing 310\u003c\/p\u003e \u003cp\u003e12.6 Order Tracks 312\u003c\/p\u003e \u003cp\u003e12.7 Synchronous Sampling 314\u003c\/p\u003e \u003cp\u003e12.8 Averaging Rotation-Speed-Dependent Signals 317\u003c\/p\u003e \u003cp\u003e12.9 Adding Change in RMS with Time 318\u003c\/p\u003e \u003cp\u003e12.10 Parametric Methods 322\u003c\/p\u003e \u003cp\u003e12.11 Chapter Summary 323\u003c\/p\u003e \u003cp\u003e12.12 Problems 324\u003c\/p\u003e \u003cp\u003eReferences 325\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Single-input Frequency Response Measurements 327\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Linear Systems 328\u003c\/p\u003e \u003cp\u003e13.2 Determining Frequency Response Experimentally 328\u003c\/p\u003e \u003cp\u003e13.3 Important Relationships for Linear Systems 333\u003c\/p\u003e \u003cp\u003e13.4 The Coherence Function 333\u003c\/p\u003e \u003cp\u003e13.5 Errors in Determining the Frequency Response 334\u003c\/p\u003e \u003cp\u003e13.6 Coherent Output Power 339\u003c\/p\u003e \u003cp\u003e13.7 The Coherence Function in Practice 340\u003c\/p\u003e \u003cp\u003e13.8 Impact Excitation 342\u003c\/p\u003e \u003cp\u003e13.9 Shaker Excitation 351\u003c\/p\u003e \u003cp\u003e13.10 Examples of FRF Estimation – No Extraneous Noise 357\u003c\/p\u003e \u003cp\u003e13.11 Example of FRF Estimation – With Output Noise 360\u003c\/p\u003e \u003cp\u003e13.12 Examples of FRF Estimation – With Input and Output Noise 362\u003c\/p\u003e \u003cp\u003e13.13 Chapter Summary 365\u003c\/p\u003e \u003cp\u003e13.14 Problems 367\u003c\/p\u003e \u003cp\u003eReferences 368\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Multiple-Input Frequency Response Measurement 369\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Multiple-Input Systems 369\u003c\/p\u003e \u003cp\u003e14.2 Conditioned Input Signals 377\u003c\/p\u003e \u003cp\u003e14.3 Bias and Random Errors for Multiple-Input Systems 384\u003c\/p\u003e \u003cp\u003e14.4 Excitation Signals for MIMO Analysis 384\u003c\/p\u003e \u003cp\u003e14.5 Data Synthesis and Simulation Examples 387\u003c\/p\u003e \u003cp\u003e14.6 Real MIMO Data Case 393\u003c\/p\u003e \u003cp\u003e14.7 Chapter Summary 396\u003c\/p\u003e \u003cp\u003e14.8 Problems 397\u003c\/p\u003e \u003cp\u003eReferences 398\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Orthogonalization of Signals 401\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Principal Components 401\u003c\/p\u003e \u003cp\u003e15.2 Virtual Signals 410\u003c\/p\u003e \u003cp\u003e15.3 Noise Source Identification (NSI) 417\u003c\/p\u003e \u003cp\u003e15.4 Chapter Summary 422\u003c\/p\u003e \u003cp\u003e15.5 Problems 423\u003c\/p\u003e \u003cp\u003eReferences 424\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Experimental Modal Analysis 425\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Introduction to Experimental Modal Analysis 425\u003c\/p\u003e \u003cp\u003e16.2 Experimental Setup 427\u003c\/p\u003e \u003cp\u003e16.3 Introduction to Modal Parameter Extraction 437\u003c\/p\u003e \u003cp\u003e16.4 SDOF Parameter Extraction 440\u003c\/p\u003e \u003cp\u003e16.5 The Unified Matrix Polynomial Approach, UMPA 443\u003c\/p\u003e \u003cp\u003e16.6 Time Versus Frequency Domain Parameter Extraction for EMA 452\u003c\/p\u003e \u003cp\u003e16.7 Time Domain Parameter Extraction Methods 454\u003c\/p\u003e \u003cp\u003e16.8 Frequency Domain Parameter Extraction Methods 470\u003c\/p\u003e \u003cp\u003e16.9 Methods for Mode Shape Estimation and Scaling 480\u003c\/p\u003e \u003cp\u003e16.10 Evaluating the Extracted Parameters 486\u003c\/p\u003e \u003cp\u003e16.11 Chapter Summary 489\u003c\/p\u003e \u003cp\u003e16.12 Problems 491\u003c\/p\u003e \u003cp\u003eReferences 492\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Operational Modal Analysis (OMA) 495\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Principles for OMA 496\u003c\/p\u003e \u003cp\u003e17.2 Data Acquisition Principles 497\u003c\/p\u003e \u003cp\u003e17.3 OMA Modal Parameter Extraction for OMA 498\u003c\/p\u003e \u003cp\u003e17.4 Scaling OMA Modal Models 508\u003c\/p\u003e \u003cp\u003e17.5 Chapter Summary 512\u003c\/p\u003e \u003cp\u003e17.6 Problems 514\u003c\/p\u003e \u003cp\u003eReferences 514\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Advanced Analysis Methods 517\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 Shock Response Spectrum 517\u003c\/p\u003e \u003cp\u003e18.2 The Hilbert Transform 520\u003c\/p\u003e \u003cp\u003e18.3 Cepstrum Analysis 527\u003c\/p\u003e \u003cp\u003e18.4 The Envelope Spectrum 531\u003c\/p\u003e \u003cp\u003e18.5 Creating Random Signals with Known Spectral Density 533\u003c\/p\u003e \u003cp\u003e18.6 Identifying Harmonics in Noise 535\u003c\/p\u003e \u003cp\u003e18.7 Harmonic Removal 539\u003c\/p\u003e \u003cp\u003e18.8 Chapter Summary 542\u003c\/p\u003e \u003cp\u003e18.9 Problems 543\u003c\/p\u003e \u003cp\u003eReferences 544\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 Practical Vibration Measurements and Analysis 547\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 Introduction to a Plexiglas Plate 547\u003c\/p\u003e \u003cp\u003e19.2 Forced Response Simulation 550\u003c\/p\u003e \u003cp\u003e19.3 Spectra of Periodic Signals 556\u003c\/p\u003e \u003cp\u003e19.4 Spectra of Random Signals 559\u003c\/p\u003e \u003cp\u003e19.5 Data with Random and Periodic Content 561\u003c\/p\u003e \u003cp\u003e19.6 Operational Deflection Shapes – ODS 567\u003c\/p\u003e \u003cp\u003e19.7 Impact Excitation and FRF Estimation 572\u003c\/p\u003e \u003cp\u003e19.8 Plexiglas EMA Example 578\u003c\/p\u003e \u003cp\u003e19.9 Methods for EMA Modal Parameter Estimation, MPE 585\u003c\/p\u003e \u003cp\u003e19.10 Conclusions of EMA MPE 599\u003c\/p\u003e \u003cp\u003e19.11 OMA Examples 600\u003c\/p\u003e \u003cp\u003eReferences 622\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A Complex Numbers 625\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B Logarithmic Diagrams 629\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix C Decibels 633\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix D Some Elementary Matrix Algebra 635\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix E Eigenvalues and the SVD 639\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eE.1 Eigenvalues and Complex Matrices 639\u003c\/p\u003e \u003cp\u003eE.2 The Singular Value Decomposition (SVD) 640\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix F Organizations and Resources 643\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix G Checklist for Experimental Modal Analysis Testing 645\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eBibliography 647\u003c\/p\u003e \u003cp\u003eIndex 659\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAnders Brandt\u003c\/b\u003e is a Professor and Head of the Department of Mechanical and Production  Engineering at Aarhus University in Denmark. His research interests include vibration analysis, experimental and operational modal analysis, signal analysis, and system identification. He worked for 20 years in industry in Sweden and abroad, and gave over 250 short-courses on various topics in the field of vibration engineering. He is a member of the Society for Experimental Mechanics and is on the scientific committee for the International Operational Modal Analysis Conference.   \u003c\/p\u003e\u003cp\u003e\u003cb\u003eComplete guide to signal processing and modal analysis theory, with coverage of practical applications and a plethora of learning tools\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003eFeaturing numerous line diagrams and illustrations, the newly revised and updated Second Edition of \u003ci\u003eNoise and Vibration Analysis\u003c\/i\u003e is a comprehensive and practical guide that combines both signal processing and modal analysis theory with their practical application in noise and vibration analysis. This new edition has been updated with three new chapters covering experimental modal analysis, operational modal analysis, and practical vibration measurements. \u003c\/p\u003e\u003cp\u003eTaking a practical learning approach, the text includes exercises that allow the content to be developed in an academic course framework or as supplementary material for private and further study, including multiple choice questions at the end of each chapter. An accompanying website hosts a MATLAB\u003csup\u003e®\u003c\/sup\u003e toolbox, additional problems and examples, and videos. \u003c\/p\u003e\u003cp\u003eWritten by a highly qualified author with significant experience in the field, \u003ci\u003eNoise and Vibration Analysis\u003c\/i\u003e covers topics such as: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eDynamic signals and systems, covering periodic, random, and transient signals, RMS value and power, and the Continuous Fourier Transform\u003c\/li\u003e \u003cli\u003eTime data analysis, covering the sampling theorem, analog, digital, smoothing, and acoustic octave filters, time data differentiation, and FFT-based processing\u003c\/li\u003e \u003cli\u003eStatistics and random processes, covering expected value, errors in estimates, and probability distribution in random theory, and tests of normality and stationarity\u003c\/li\u003e \u003cli\u003eFundamental mechanics, covering Newton’s laws, alternative quantities for describing motion, frequency response plot formats, and rotating mass\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003e\u003ci\u003eNoise and Vibration Analysis\u003c\/i\u003e is an excellent resource for researchers and engineers from the automotive, aerospace, mechanical, or electronics industries who work with experimental or analytical vibration analysis and\/or acoustics. The text is also valuable for graduate students enrolled in vibration analysis, experimental structural dynamics, or applied signal analysis courses.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989693481189,"sku":"NP9781118962183","price":115.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118962183.jpg?v=1761785130","url":"https:\/\/k12savings.com\/es\/products\/noise-and-vibration-analysis-isbn-9781118962183","provider":"K12savings","version":"1.0","type":"link"}