The main objective of the course is to develop skills to model and analyze systems with nonlinearities. At the end of this course, students will be able to identify nonlinear systems and nonlinearities. They will be able to solve set of nonlinear algebraic equations. Students will be able to obtain forced response of nonlinear systems in frequency domain using Describing Function Method and Harmonic Balance Method. They will be able to perform forced response analysis of nonlinear systems considering higher harmonics in the solution. Students will be able to obtain steady-state periodic response of nonlinear systems with many degrees of freedom. They will be able to model dry friction and obtain periodic response of systems with dry friction damping.