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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.
Worden, K
Linear systems. From linear to nonlinear. FRFs of nonlinear systems. The Hilbert transform - a practical approach. The Hilbert transform - a complex analytical approach. System identification - discrete-time. System identification - continuous-time. The Volterra Series and higher-order frequency response functions. Experimental case studies. Appendices.