Nonlinearity in Structural Dynamics

Detection, Identification and Modelling

K Worden

• Publisher: CRC Press
• Year: 2019
• ISBN:
  9780429524981
• Edition: 1
• Topic: Biological Sciences
• Subtopic: Science General
• Index: Biological Sciences

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.

Table of contents

• 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