{"product_id":"virtual-experiments-in-mechanical-vibrations-structural-dynamics-and-signal-processing-hardback-9781118307977","title":"Virtual Experiments in Mechanical Vibrations; Structural Dynamics and Signal Processing (Hardback) 9781118307977","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eVirtual Experiments in Mechanical Vibrations\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eStructural Dynamics and Signal Processing\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMichael J. Brennan (Author), Bin Tang (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781118307977, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 28 October 2022\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e336 pages\u003cbr\u003e26.8 x 17.7 x 2.4 cm, 0.822 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cb\u003eVIRTUAL EXPERIMENTS in MECHANICAL VIBRATIONS\u003c\/b\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eThe first book of its kind to explain fundamental concepts in both vibrations and signal processing using MATLAB virtual experiments\u003c\/b\u003e \u003c\/p\u003e\n\u003cp\u003eStudents and young engineers with a strong grounding in engineering theory often lack the practical skills and knowledge required to carry out experimental work in the laboratory. Fundamental and time-consuming errors can be avoided with the appropriate training and a solid understanding of basic concepts in vibrations and\/or signal processing, which are critical to testing new designs. \u003c\/p\u003e\n\u003cp\u003e\u003ci\u003eVirtual Experiments in Mechanical Vibrations: Structural Dynamics and Signal Processing\u003c\/i\u003e is designed for readers with limited knowledge of vibrations and signal processing. The intention is to help them relate vibration theory to measurements carried out in the laboratory. With a hands-on approach that emphasizes physics rather than mathematics, this practical resource explains fundamental concepts in vibrations and signal processing. It uses the concept of a virtual experiment together with MATLAB to show how the dynamic properties of vibration isolators can be determined, how vibration absorbers can be designed, and how they perform on distributed parameter structures. \u003c\/p\u003e\n\u003cp\u003eReaders will find that this text: \u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eAllows the concepts of experimental work to be discussed and simulated in the classroom using a physics-based approach\u003c\/li\u003e \u003cli\u003ePresents computational virtual experiments using MATLAB examples to determine the dynamic behaviour of several common dynamic systems\u003c\/li\u003e \u003cli\u003eExplains the rationale of virtual experimentation and describes typical vibration testing setups\u003c\/li\u003e \u003cli\u003eIntroduces the signal processing tools needed to determine the frequency response of a system from input and output data\u003c\/li\u003e \u003cli\u003eIncludes access to a companion website containing MATLAB code\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003e\u003ci\u003eVirtual Experiments in Mechanical Vibrations: Structural Dynamics and Signal Processing\u003c\/i\u003e is a must-have resource for researchers, mechanical engineers, and advanced undergraduate and graduate students who are new to the subjects of vibrations, signal processing, and vibration testing. It is also an invaluable tool for universities where the possibilities of doing experimental work are limited.\u003c\/p\u003e\u003c\/font\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003eList of Abbreviations xv\u003c\/p\u003e \u003cp\u003eList of Symbols xvii\u003c\/p\u003e \u003cp\u003eAbout the Companion Website xxi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction \u003c\/b\u003e\u003cb\u003e1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction 1\u003c\/p\u003e \u003cp\u003e1.2 Typical Laboratory-Based Vibration Tests 3\u003c\/p\u003e \u003cp\u003e1.3 Relationship Between the Input and Output for a SISO System 5\u003c\/p\u003e \u003cp\u003e1.4 A Virtual Vibration Test 6\u003c\/p\u003e \u003cp\u003e1.5 Some Notes on the Book 7\u003c\/p\u003e \u003cp\u003eReferences 7\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Fundamentals of Vibration \u003c\/b\u003e\u003cb\u003e9\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 9\u003c\/p\u003e \u003cp\u003e2.2 Basic Concepts – Mass, Stiffness, and Damping 9\u003c\/p\u003e \u003cp\u003e2.3 Single Degree-of-Freedom System 11\u003c\/p\u003e \u003cp\u003e2.4 Free Vibration 11\u003c\/p\u003e \u003cp\u003e2.5 Impulse Response Function (IRF) 13\u003c\/p\u003e \u003cp\u003e2.6 Determination of Damping from Free Vibration 17\u003c\/p\u003e \u003cp\u003e2.7 Harmonic Excitation 19\u003c\/p\u003e \u003cp\u003e2.8 Frequency Response Function (FRF) 22\u003c\/p\u003e \u003cp\u003e2.9 Other Features of the Receptance FRF 28\u003c\/p\u003e \u003cp\u003e2.10 Determination of Damping from an FRF 29\u003c\/p\u003e \u003cp\u003e2.11 Reciprocal FRF 33\u003c\/p\u003e \u003cp\u003e2.12 Summary 35\u003c\/p\u003e \u003cp\u003eReferences 37\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Fourier Analysis \u003c\/b\u003e\u003cb\u003e39\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 39\u003c\/p\u003e \u003cp\u003e3.2 The Fourier Transform (FT) 39\u003c\/p\u003e \u003cp\u003e3.2.1 Example – SDOF system 44\u003c\/p\u003e \u003cp\u003e3.3 The Discrete Time Fourier Transform (DTFT) 45\u003c\/p\u003e \u003cp\u003e3.4 The Discrete Fourier Transform (DFT) 48\u003c\/p\u003e \u003cp\u003e3.5 Inverse Fourier Transforms 53\u003c\/p\u003e \u003cp\u003e3.6 Summary 57\u003c\/p\u003e \u003cp\u003eReferences 58\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Numerical Computation of the FRFs and IRFs of an SDOF System \u003c\/b\u003e\u003cb\u003e61\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 61\u003c\/p\u003e \u003cp\u003e4.2 Effect of Sampling on the FRFs 61\u003c\/p\u003e \u003cp\u003e4.2.1 Receptance 62\u003c\/p\u003e \u003cp\u003e4.2.2 Mobility 66\u003c\/p\u003e \u003cp\u003e4.2.3 Accelerance 71\u003c\/p\u003e \u003cp\u003e4.3 Effect of Data Truncation 77\u003c\/p\u003e \u003cp\u003e4.4 Effects of Sampling on the IRFs Calculated Using the IDFT 85\u003c\/p\u003e \u003cp\u003e4.5 Summary 91\u003c\/p\u003e \u003cp\u003eReferences 92\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Vibration Excitation \u003c\/b\u003e\u003cb\u003e93\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 93\u003c\/p\u003e \u003cp\u003e5.2 Vibration Excitation Devices 93\u003c\/p\u003e \u003cp\u003e5.2.1 Electrodynamic Shaker 93\u003c\/p\u003e \u003cp\u003e5.2.2 Instrumented Impact Hammer 94\u003c\/p\u003e \u003cp\u003e5.3 Vibration Excitation Signals 96\u003c\/p\u003e \u003cp\u003e5.3.1 Excitation at a Single Frequency 98\u003c\/p\u003e \u003cp\u003e5.3.2 Excitation Using a Random Signal 104\u003c\/p\u003e \u003cp\u003e5.3.3 Excitation Using a Chirp or Swept Sine 110\u003c\/p\u003e \u003cp\u003e5.3.4 Excitation Using a Half-Sine Pulse 113\u003c\/p\u003e \u003cp\u003e5.4 Summary 117\u003c\/p\u003e \u003cp\u003eReferences 117\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Determination of the Vibration Response of a System \u003c\/b\u003e\u003cb\u003e119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 119\u003c\/p\u003e \u003cp\u003e6.2 Determination of the Vibration Response 119\u003c\/p\u003e \u003cp\u003e6.2.1 Convolution in the Time Domain 119\u003c\/p\u003e \u003cp\u003e6.2.2 Calculation of the Response via the Frequency Domain 120\u003c\/p\u003e \u003cp\u003e6.2.3 Numerical Integration of the Equation of Motion 121\u003c\/p\u003e \u003cp\u003e6.3 Calculation of the Vibration Response of an SDOF System 121\u003c\/p\u003e \u003cp\u003e6.3.1 Impulsive Force 122\u003c\/p\u003e \u003cp\u003e6.3.2 Half-sine Force Impulse 122\u003c\/p\u003e \u003cp\u003e6.3.3 Chirp (Swept Sine) Force Input 123\u003c\/p\u003e \u003cp\u003e6.3.4 Random Force Input 125\u003c\/p\u003e \u003cp\u003e6.4 Summary 129\u003c\/p\u003e \u003cp\u003eReferences 130\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Frequency Response Function (FRF) Estimation \u003c\/b\u003e\u003cb\u003e131\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 131\u003c\/p\u003e \u003cp\u003e7.2 Transient Excitation 131\u003c\/p\u003e \u003cp\u003e7.2.1 \u003ci\u003eH\u003c\/i\u003e1 and \u003ci\u003eH\u003c\/i\u003e2 Estimators 134\u003c\/p\u003e \u003cp\u003e7.2.2 Coherence Function 135\u003c\/p\u003e \u003cp\u003e7.2.3 Examples 137\u003c\/p\u003e \u003cp\u003e7.3 Random Excitation 144\u003c\/p\u003e \u003cp\u003e7.4 Comparison of Excitation Methods and Effects of Shaker–Structure Interaction 151\u003c\/p\u003e \u003cp\u003e7.5 Virtual Experiment – Vibration Isolation 157\u003c\/p\u003e \u003cp\u003e7.5.1 The Physics of Vibration Isolation 157\u003c\/p\u003e \u003cp\u003e7.5.2 Experimental Determination of the Stiffness and Damping of a Vibration Isolator 159\u003c\/p\u003e \u003cp\u003e7.5.3 Experiment to Investigate the Trade-off Between Decreasing the Response at the Resonance Frequency and Improving Vibration Isolation 163\u003c\/p\u003e \u003cp\u003e7.6 Summary 167\u003c\/p\u003e \u003cp\u003eReferences 168\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Multi-Degree-of-Freedom (MDOF) Systems: Dynamic Behaviour \u003c\/b\u003e\u003cb\u003e169\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 169\u003c\/p\u003e \u003cp\u003e8.2 Lumped Parameter MDOF System 169\u003c\/p\u003e \u003cp\u003e8.2.1 Example – 3DOF System 170\u003c\/p\u003e \u003cp\u003e8.2.2 Free Vibration 175\u003c\/p\u003e \u003cp\u003e8.2.3 Resonance and Anti-resonance Frequencies 177\u003c\/p\u003e \u003cp\u003e8.2.4 Modal Decomposition 181\u003c\/p\u003e \u003cp\u003e8.2.5 Impulse Response Function (IRF) 188\u003c\/p\u003e \u003cp\u003e8.3 Continuous Systems 193\u003c\/p\u003e \u003cp\u003e8.3.1 Rod 193\u003c\/p\u003e \u003cp\u003e8.3.1.1 Natural Frequencies and Mode Shapes 195\u003c\/p\u003e \u003cp\u003e8.3.1.2 Impulse Response Function (IRF) 197\u003c\/p\u003e \u003cp\u003e8.3.2 Beam 201\u003c\/p\u003e \u003cp\u003e8.3.2.1 Natural Frequencies and Mode Shapes 202\u003c\/p\u003e \u003cp\u003e8.3.2.2 Impulse Response Function (IRF) 203\u003c\/p\u003e \u003cp\u003e8.4 Summary 210\u003c\/p\u003e \u003cp\u003eReferences 213\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Multi-Degree-of-Freedom (MDOF) Systems: Virtual Experiments \u003c\/b\u003e\u003cb\u003e215\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 215\u003c\/p\u003e \u003cp\u003e9.2 Two Degree-of-Freedom System: FRF Estimation 215\u003c\/p\u003e \u003cp\u003e9.2.1 Determination of a Modal Model 220\u003c\/p\u003e \u003cp\u003e9.3 Beam: FRF Estimation 223\u003c\/p\u003e \u003cp\u003e9.3.1 Determination of a Modal Model 229\u003c\/p\u003e \u003cp\u003e9.4 The Vibration Absorber as a Vibration Control Device 234\u003c\/p\u003e \u003cp\u003e9.4.1 Theory 234\u003c\/p\u003e \u003cp\u003e9.4.2 Effect of a Vibration Absorber on an SDOF System 235\u003c\/p\u003e \u003cp\u003e9.4.3 Vibration Absorber Attached to an SDOF System – Virtual Experiment 237\u003c\/p\u003e \u003cp\u003e9.4.4 Vibration Absorber Attached to a Cantilever Beam – Virtual Experiment 251\u003c\/p\u003e \u003cp\u003e9.5 Summary 256\u003c\/p\u003e \u003cp\u003eReferences 258\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A Numerical Differentiation and Integration \u003c\/b\u003e\u003cb\u003e259\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Differentiation in the Time Domain 259\u003c\/p\u003e \u003cp\u003eA.2 Integration in the Time Domain 260\u003c\/p\u003e \u003cp\u003eA.3 Differentiation and Integration in the Frequency Domain 262\u003c\/p\u003e \u003cp\u003eReference 262\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B The Hilbert Transform \u003c\/b\u003e\u003cb\u003e263\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eReferences 265\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix C The Decibel: A Brief Description \u003c\/b\u003e\u003cb\u003e267\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eReference 268\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix D Numerical Integration of Equations of Motion \u003c\/b\u003e\u003cb\u003e269\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eD.1 Euler’s Method 269\u003c\/p\u003e \u003cp\u003eD.2 The Runge–Kutta Method 271\u003c\/p\u003e \u003cp\u003eReferences 273\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix E The Delta Function \u003c\/b\u003e\u003cb\u003e275\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eE.1 Properties of the Delta Function 276\u003c\/p\u003e \u003cp\u003eE.2 Fourier Series Representation of a Train of Delta Functions 277\u003c\/p\u003e \u003cp\u003eReference 277\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix F Aliasing \u003c\/b\u003e\u003cb\u003e279\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eReferences 285\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix G Convolution \u003c\/b\u003e\u003cb\u003e287\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eG.1 Relationship Between Convolution and Multiplication 291\u003c\/p\u003e \u003cp\u003eG.2 Circular Convolution 296\u003c\/p\u003e \u003cp\u003eReferences 299\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix H Some Influential Scientists in Topics Related to This Book \u003c\/b\u003e\u003cb\u003e301\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIndex 307\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mechanical engineering \u0026amp; materials [\u003ca title=\"See our other books on Mechanical engineering \u0026amp; materials\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mechanical%20engineering%20\u0026amp;%20materials%20%5BTG%5D%22\"\u003eTG\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52173687718168,"sku":"9781118307977","price":76.56,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781118307977.jpg?v=1781167119","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/virtual-experiments-in-mechanical-vibrations-structural-dynamics-and-signal-processing-hardback-9781118307977","provider":"Freshly Printed Books","version":"1.0","type":"link"}