ABSTRACT

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.

chapter Chapter 1|40 pages

Linear systems

chapter Chapter 2|40 pages

From linear to nonlinear

chapter Chapter 3|46 pages

FRFs of nonlinear systems

chapter Chapter 4|75 pages

The Hilbert transform—a practical approach

chapter Chapter 5|28 pages

The Hilbert transform—a complex analytical approach

chapter Chapter 6|55 pages

System identification—discrete time

chapter Chapter 7|92 pages

System identification—continuous time

chapter Chapter 9|56 pages

Experimental case studies