Hilbert Transform Applications in Mechanical Vibration (ePub)

Hilbert Transform Applications in Mechanical Vibration
addresses recent advances in theory and applications of the Hilbert
transform to vibration engineering, enabling laboratory dynamic
tests to be performed more rapidly and accurately. The author
integrates important pioneering developments in signal processing
and mathematical models with typical properties of mechanical
dynamic constructions such as resonance, nonlinear stiffness and
damping. A comprehensive account of the main applications is
provided, covering dynamic testing and the extraction of the modal
parameters of nonlinear vibration systems, including the initial
elastic and damping force characteristics. This unique merger of
technical properties and digital signal processing allows the
instant solution of a variety of engineering problems and the
in-depth exploration of the physics of vibration by analysis,
identification and simulation.

This book will appeal to both professionals and students working
in mechanical, aerospace, and civil engineering, as well as naval
architecture, biomechanics, robotics, and mechatronics.

Hilbert Transform Applications in Mechanical Vibration
employs modern applications of the Hilbert transform time domain
methods including:

* The Hilbert Vibration Decomposition method for adaptive
separation of a multi-component non-stationary vibration signal
into simple quasi-harmonic components; this method is characterized
by high frequency resolution, which provides a comprehensive
account of the case of amplitude and frequency modulated vibration
analysis.

* The FREEVIB and FORCEVIB main applications, covering dynamic
testing and extraction of the modal parameters of nonlinear
vibration systems including the initial elastic and damping force
characteristics under free and forced vibration regimes.
Identification methods contribute to efficient and accurate testing
of vibration systems, avoiding effort-consuming measurement and
analysis.

* Precise identification of nonlinear and asymmetric systems
considering high frequency harmonics on the base of the congruent
envelope and congruent frequency.

* Accompanied by a website at www.wiley.com/go/feldman, housing
MATLAB®/ SIMULINK codes.