Nonlinearity in structural dynamics : detection, identification, and modelling

Description

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. 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 Content: 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.