{"product_id":"vibration-with-control-isbn-9781119108214","title":"Vibration with Control","description":"\u003cp\u003e\u003cb\u003e\u003ci\u003eAn advanced look at vibration analysis with a focus on active vibration suppression\u003c\/i\u003e\u003c\/b\u003e\u003cb\u003e\u003ci\u003e \u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAs modern devices, from cell phones to airplanes, become lighter and more flexible, vibration suppression and analysis becomes more critical. \u003ci\u003eVibration with Control, 2nd Edition\u003c\/i\u003e includes modelling, analysis and testing methods. New topics include metastructures and the use of piezoelectric materials, and numerical methods are also discussed.  All material is placed on a firm mathematical footing by introducing concepts from linear algebra (matrix theory) and applied functional analysis when required.\u003c\/p\u003e \u003cp\u003eKey features:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eCombines vibration modelling and analysis with active control to provide concepts for effective vibration suppression.\u003c\/li\u003e \u003cli\u003eIntroduces the use of piezoelectric materials for vibration sensing and suppression.\u003c\/li\u003e \u003cli\u003eProvides a unique blend of practical and theoretical developments.\u003c\/li\u003e \u003cli\u003eExamines nonlinear as well as linear vibration analysis.\u003c\/li\u003e \u003cli\u003eProvides Matlab instructions for solving problems.\u003c\/li\u003e \u003cli\u003eContains examples and problems.\u003c\/li\u003e \u003cli\u003ePowerPoint Presentation materials and digital solutions manual available for instructors.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eVibration with Control, 2nd Edition \u003c\/i\u003eis an ideal reference and textbook for graduate students in mechanical, aerospace and structural engineering, as well as researchers and practitioners in the field.\u003c\/p\u003e \u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003eAbout the Companion Website xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Single Degree of Freedom Systems 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction 1\u003c\/p\u003e \u003cp\u003e1.2 Spring-Mass System 1\u003c\/p\u003e \u003cp\u003e1.3 Spring-Mass-Damper System 6\u003c\/p\u003e \u003cp\u003e1.4 Forced Response 10\u003c\/p\u003e \u003cp\u003e1.5 Transfer Functions and Frequency Methods 17\u003c\/p\u003e \u003cp\u003e1.6 Complex Representation and Impedance 23\u003c\/p\u003e \u003cp\u003e1.7 Measurement and Testing 25\u003c\/p\u003e \u003cp\u003e1.8 Stability 28\u003c\/p\u003e \u003cp\u003e1.9 Design and Control of Vibrations 31\u003c\/p\u003e \u003cp\u003e1.10 Nonlinear Vibrations 35\u003c\/p\u003e \u003cp\u003e1.11 Computing and Simulation in MatlabTM 38\u003c\/p\u003e \u003cp\u003eChapter Notes 43\u003c\/p\u003e \u003cp\u003eReferences 44\u003c\/p\u003e \u003cp\u003eProblems 46\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Lumped Parameter Models 49\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 49\u003c\/p\u003e \u003cp\u003e2.2 Modeling 52\u003c\/p\u003e \u003cp\u003e2.3 Classifications of Systems 56\u003c\/p\u003e \u003cp\u003e2.4 Feedback Control Systems 57\u003c\/p\u003e \u003cp\u003e2.5 Examples 59\u003c\/p\u003e \u003cp\u003e2.6 Experimental Models 64\u003c\/p\u003e \u003cp\u003e2.7 Nonlinear Models and Equilibrium 65\u003c\/p\u003e \u003cp\u003eChapter Notes 67\u003c\/p\u003e \u003cp\u003eReferences 68\u003c\/p\u003e \u003cp\u003eProblems 68\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Matrices and the Free Response 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 71\u003c\/p\u003e \u003cp\u003e3.2 Eigenvalues and Eigenvectors 71\u003c\/p\u003e \u003cp\u003e3.3 Natural Frequencies and Mode Shapes 77\u003c\/p\u003e \u003cp\u003e3.4 Canonical Forms 86\u003c\/p\u003e \u003cp\u003e3.5 Lambda Matrices 91\u003c\/p\u003e \u003cp\u003e3.6 Eigenvalue Estimates 94\u003c\/p\u003e \u003cp\u003e3.7 Computation Eigenvalue Problems in MATLAB 101\u003c\/p\u003e \u003cp\u003e3.8 Numerical Simulation of the Time Response in MATLAB\u003csup\u003etm \u003c\/sup\u003e104\u003c\/p\u003e \u003cp\u003eChapter Notes 106\u003c\/p\u003e \u003cp\u003eReferences 107\u003c\/p\u003e \u003cp\u003eProblems 108\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Stability 113\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 113\u003c\/p\u003e \u003cp\u003e4.2 Lyapunov Stability 113\u003c\/p\u003e \u003cp\u003e4.3 Conservative Systems 116\u003c\/p\u003e \u003cp\u003e4.4 Systems with Damping 117\u003c\/p\u003e \u003cp\u003e4.5 Semidefinite Damping 118\u003c\/p\u003e \u003cp\u003e4.6 Gyroscopic Systems 119\u003c\/p\u003e \u003cp\u003e4.7 Damped Gyroscopic Systems 121\u003c\/p\u003e \u003cp\u003e4.8 Circulatory Systems 122\u003c\/p\u003e \u003cp\u003e4.9 Asymmetric Systems 123\u003c\/p\u003e \u003cp\u003e4.10 Feedback Systems 128\u003c\/p\u003e \u003cp\u003e4.11 Stability in the State Space 131\u003c\/p\u003e \u003cp\u003e4.12 Stability of Nonlinear Systems 133\u003c\/p\u003e \u003cp\u003eChapter Notes 137\u003c\/p\u003e \u003cp\u003eReferences 138\u003c\/p\u003e \u003cp\u003eProblems 139\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Forced Response of Lumped Parameter Systems 143\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 143\u003c\/p\u003e \u003cp\u003e5.2 Response via State SpaceMethods 143\u003c\/p\u003e \u003cp\u003e5.3 Decoupling Conditions and Modal Analysis 148\u003c\/p\u003e \u003cp\u003e5.4 Response of Systems with Damping 152\u003c\/p\u003e \u003cp\u003e5.5 Stability of the Forced Response 155\u003c\/p\u003e \u003cp\u003e5.6 Response Bounds 157\u003c\/p\u003e \u003cp\u003e5.7 Frequency Response Methods 158\u003c\/p\u003e \u003cp\u003e5.8 Stability of Feedback Control 161\u003c\/p\u003e \u003cp\u003e5.9 Numerical Simulations in Matlab 163\u003c\/p\u003e \u003cp\u003eChapter Notes 165\u003c\/p\u003e \u003cp\u003eReferences 166\u003c\/p\u003e \u003cp\u003eProblems 167\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Vibration Suppression 171\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 171\u003c\/p\u003e \u003cp\u003e6.2 Isolators and Absorbers 172\u003c\/p\u003e \u003cp\u003e6.3 OptimizationMethods 175\u003c\/p\u003e \u003cp\u003e6.4 Metastructures 179\u003c\/p\u003e \u003cp\u003e6.5 Design Sensitivity and Redesign 181\u003c\/p\u003e \u003cp\u003e6.6 Passive and Active Control 184\u003c\/p\u003e \u003cp\u003e6.7 Controllability and Observability 188\u003c\/p\u003e \u003cp\u003e6.8 Eigenstructure Assignment 193\u003c\/p\u003e \u003cp\u003e6.9 Optimal Control 196\u003c\/p\u003e \u003cp\u003e6.10 Observers (Estimators) 203\u003c\/p\u003e \u003cp\u003e6.11 Realization 208\u003c\/p\u003e \u003cp\u003e6.12 Reduced-Order Modeling 210\u003c\/p\u003e \u003cp\u003e6.13 Modal Control in State Space 216\u003c\/p\u003e \u003cp\u003e6.14 Modal Control in Physical Space 219\u003c\/p\u003e \u003cp\u003e6.15 Robustness 224\u003c\/p\u003e \u003cp\u003e6.16 Positive Position Feedback Control 226\u003c\/p\u003e \u003cp\u003e6.17 Matlab Commands for Control Calculations 229\u003c\/p\u003e \u003cp\u003eChapter Notes 233\u003c\/p\u003e \u003cp\u003eReferences 234\u003c\/p\u003e \u003cp\u003eProblems 237\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Distributed Parameter Models 241\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 241\u003c\/p\u003e \u003cp\u003e7.2 Equations of Motion 241\u003c\/p\u003e \u003cp\u003e7.3 Vibration of Strings 247\u003c\/p\u003e \u003cp\u003e7.4 Rods and Bars 252\u003c\/p\u003e \u003cp\u003e7.5 Vibration of Beams 256\u003c\/p\u003e \u003cp\u003e7.6 Coupled Effects 263\u003c\/p\u003e \u003cp\u003e7.7 Membranes and Plates 267\u003c\/p\u003e \u003cp\u003e7.8 Layered Materials 271\u003c\/p\u003e \u003cp\u003e7.9 Damping Models 273\u003c\/p\u003e \u003cp\u003e7.10 Modeling Piezoelectric Wafers 276\u003c\/p\u003e \u003cp\u003eChapter Notes 281\u003c\/p\u003e \u003cp\u003eReferences 281\u003c\/p\u003e \u003cp\u003eProblems 283\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Formal Methods of Solutions 287\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 287\u003c\/p\u003e \u003cp\u003e8.2 Boundary Value Problems and Eigenfunctions 287\u003c\/p\u003e \u003cp\u003e8.3 Modal Analysis of the Free Response 290\u003c\/p\u003e \u003cp\u003e8.4 Modal Analysis in Damped Systems 292\u003c\/p\u003e \u003cp\u003e8.5 Transform Methods 294\u003c\/p\u003e \u003cp\u003e8.6 Green’s Functions 296\u003c\/p\u003e \u003cp\u003eChapter Notes 300\u003c\/p\u003e \u003cp\u003eReferences 301\u003c\/p\u003e \u003cp\u003eProblems 301\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Operators and the Free Response 303\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 303\u003c\/p\u003e \u003cp\u003e9.2 Hilbert Spaces 304\u003c\/p\u003e \u003cp\u003e9.3 Expansion Theorems 308\u003c\/p\u003e \u003cp\u003e9.4 Linear Operators 309\u003c\/p\u003e \u003cp\u003e9.5 Compact Operators 315\u003c\/p\u003e \u003cp\u003e9.6 Theoretical Modal Analysis 317\u003c\/p\u003e \u003cp\u003e9.7 Eigenvalue Estimates 318\u003c\/p\u003e \u003cp\u003e9.8 Enclosure Theorems 321\u003c\/p\u003e \u003cp\u003eChapter Notes 324\u003c\/p\u003e \u003cp\u003eReferences 324\u003c\/p\u003e \u003cp\u003eProblems 325\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Forced Response and Control 327\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 327\u003c\/p\u003e \u003cp\u003e10.2 Response by Modal Analysis 327\u003c\/p\u003e \u003cp\u003e10.3 Modal Design Criteria 330\u003c\/p\u003e \u003cp\u003e10.4 Combined Dynamical Systems 332\u003c\/p\u003e \u003cp\u003e10.5 Passive Control and Design 336\u003c\/p\u003e \u003cp\u003e10.6 Distributed Modal Control 338\u003c\/p\u003e \u003cp\u003e10.7 Nonmodal Distributed Control 340\u003c\/p\u003e \u003cp\u003e10.8 State Space Control Analysis 341\u003c\/p\u003e \u003cp\u003e10.9 Vibration Suppression using Piezoelectric Materials 342\u003c\/p\u003e \u003cp\u003eChapter Notes 344\u003c\/p\u003e \u003cp\u003eReferences 345\u003c\/p\u003e \u003cp\u003eProblems 346\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Approximations of Distributed Parameter Models 349\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 349\u003c\/p\u003e \u003cp\u003e11.2 Modal Truncation 349\u003c\/p\u003e \u003cp\u003e11.3 Rayleigh-Ritz-Galerkin Approximations 351\u003c\/p\u003e \u003cp\u003e11.4 Finite Element Method 354\u003c\/p\u003e \u003cp\u003e11.5 Substructure Analysis 359\u003c\/p\u003e \u003cp\u003e11.6 Truncation in the Presence of Control 361\u003c\/p\u003e \u003cp\u003e11.7 Impedance Method of Truncation and Control 369\u003c\/p\u003e \u003cp\u003eChapter Notes 371\u003c\/p\u003e \u003cp\u003eReferences 371\u003c\/p\u003e \u003cp\u003eProblems 372\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Vibration Measurement 375\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction 375\u003c\/p\u003e \u003cp\u003e12.2 Measurement Hardware 376\u003c\/p\u003e \u003cp\u003e12.3 Digital Signal Processing 379\u003c\/p\u003e \u003cp\u003e12.4 Random Signal Analysis 383\u003c\/p\u003e \u003cp\u003e12.5 Modal Data Extraction (Frequency Domain) 387\u003c\/p\u003e \u003cp\u003e12.6 Modal Data Extraction (Time Domain) 390\u003c\/p\u003e \u003cp\u003e12.7 Model Identification 395\u003c\/p\u003e \u003cp\u003e12.8 Model Updating 397\u003c\/p\u003e \u003cp\u003e12.9 Verification and Validation 398\u003c\/p\u003e \u003cp\u003eChapter Notes 400\u003c\/p\u003e \u003cp\u003eReferences 401\u003c\/p\u003e \u003cp\u003eProblems 402\u003c\/p\u003e \u003cp\u003eA Comments on Units 405\u003c\/p\u003e \u003cp\u003eB Supplementary Mathematics 409\u003c\/p\u003e \u003cp\u003eIndex 413\u003c\/p\u003e \u003cp\u003e\u003cb\u003eDaniel J. Inman\u003c\/b\u003e, University of Michigan, USA\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAn advanced look at vibration analysis with a focus on active vibration suppression\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAs modern devices, from cell phones to airplanes, become lighter and more flexible, vibration suppression and analysis becomes more critical. \u003ci\u003eVibration with Control, 2nd Edition\u003c\/i\u003e includes modelling, analysis and testing methods. New topics include metastructures and the use of piezoelectric materials, and numerical methods are also discussed. All material is placed on a firm mathematical footing by introducing concepts from linear algebra (matrix theory) and applied functional analysis when required. \u003c\/p\u003e\u003cp\u003eKey features: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eCombines vibration modelling and analysis with active control to provide concepts for effective vibration suppression.\u003c\/li\u003e \u003cli\u003eIntroduces the use of piezoelectric materials for vibration sensing and suppression.\u003c\/li\u003e \u003cli\u003eProvides a unique blend of practical and theoretical developments.\u003c\/li\u003e \u003cli\u003eExamines nonlinear as well as linear vibration analysis.\u003c\/li\u003e \u003cli\u003eProvides Matlab instructions for solving problems.\u003c\/li\u003e \u003cli\u003eContains examples and problems.\u003c\/li\u003e \u003cli\u003ePowerPoint Presentation materials and digital solutions manual available for instructors.\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003e\u003ci\u003eVibration with Control, 2nd Edition\u003c\/i\u003e is an ideal reference and textbook for graduate students in mechanical, aerospace and structural engineering, as well as researchers and practitioners in the field.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47990452322533,"sku":"NP9781119108214","price":145.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119108214.jpg?v=1761787888","url":"https:\/\/k12savings.com\/products\/vibration-with-control-isbn-9781119108214","provider":"K12savings","version":"1.0","type":"link"}