Externally excited undamped and damped linear and nonlinear oscillators: Exact solutions and tuning to a desired exact form of the response

This work presents a methodology on how to use exact closed-form solutions for the response of free undamped linear and nonlinear oscillators to design the external excitation of undamped or damped nonlinear oscillators to get such steady-state response. A variety of examples, including Duffing-type oscillators and purely nonlinear oscillators, are given to illustrate this methodology.