Examine the application of nonlinear analysis techniques in predicting the dynamic response of civil engineering structures subjected to severe loading, such as earthquakes or blast events. Discuss the limitations of linear analysis methods in capturing the complex behavior of structures under extreme conditions and explore how nonlinear models account for phenomena like material yielding, geometric nonlinearities, and energy dissipation. Evaluate the importance of nonlinear analysis in enhancing the resilience and performance of structures in dynamic environments.