Nonlinearity in Structural Dynamics

Detection, Identification and Modelling

K Worden

• Verlag: CRC Press
• Jahr: 2019
• ISBN:
  9780429524981
• Auflage: 1
• Thema: Biological Sciences
• Thema: Science General

Many types of engineering structures exhibit nonlinear behavior under real operating conditions. Sometimes the unpredicted nonlinear behavior of a system results in catastrophic failure. In civil engineering, grandstands at sporting events and concerts may be prone to nonlinear oscillations due to looseness of joints, friction, and crowd movements.

Inhaltsverzeichnis

• Cover
• Half Title
• Title Page
• Copyright Page
• Table of Contents
• Preface
• 1 Linear systems
• 2 From linear to nonlinear
• 3 FRFs of nonlinear systems
• 4 The Hilbert transform—a practical approach
• 5 The Hilbert transform—a complex analytical approach
• 6 System identification—discrete time
• 7 System identification—continuous time
• 8 The Volterra series and higher-order frequency response functions
• 9 Experimental case studies
• A A rapid introduction to probability theory
• B Discontinuities in the Duffing oscillator FRF
• C Useful theorems for the Hilbert transform
• D Frequency domain representations of δ(t) and ϵ(t)
• E Advanced least-squares techniques
• F Neural networks
• G Gradient descent and back-propagation
• H Properties of Chebyshev polynomials
• I Integration and differentiation of measured time data
• J Volterra kernels from perturbation analysis
• K Further results on random vibration
• Bibliography
• Index