Hilbert Transform Applications in Mechanical Vibrationaddresses recent advances in theory and applications of the Hilberttransform to vibration engineering, enabling laboratory dynamictests to be performed more rapidly and accurately. The authorintegrates important pioneering developments in signal processingand mathematical models with typical properties of mechanicaldynamic constructions such as resonance, nonlinear stiffness anddamping. A comprehensive account of the main applications isprovided, covering dynamic testing and the extraction of the modalparameters of nonlinear vibration systems, including the initialelastic and damping force characteristics. This unique merger oftechnical properties and digital signal processing allows theinstant solution of a variety of engineering problems and thein-depth exploration of the physics of vibration by analysis,identification and simulation.This book will appeal to both professionals and students workingin mechanical, aerospace, and civil engineering, as well as navalarchitecture, biomechanics, robotics, and mechatronics.Hilbert Transform Applications in Mechanical Vibrationemploys modern applications of the Hilbert transform time domainmethods including:* The Hilbert Vibration Decomposition method for adaptiveseparation of a multi-component non-stationary vibration signalinto simple quasi-harmonic components; this method is characterizedby high frequency resolution, which provides a comprehensiveaccount of the case of amplitude and frequency modulated vibrationanalysis.* The FREEVIB and FORCEVIB main applications, covering dynamictesting and extraction of the modal parameters of nonlinearvibration systems including the initial elastic and damping forcecharacteristics under free and forced vibration regimes.Identification methods contribute to efficient and accurate testingof vibration systems, avoiding effort-consuming measurement andanalysis.* Precise identification of nonlinear and asymmetric systemsconsidering high frequency harmonics on the base of the congruentenvelope and congruent frequency.* Accompanied by a website at wiley.com/go/feldman, housingMATLAB®/ SIMULINK codes.