Starossek, UweUweStarossek2020-03-242020-03-242016-06-22International Journal of Non-Linear Mechanics (85): 197-206 (2016-10-01)http://hdl.handle.net/11420/5462The steady-state response of an undamped Duffing oscillator to periodic external forces is studied. The forcing functions are chosen such that the time course of the displacement can be described by exact analytical expressions. The displacement and forcing functions are governed by Jacobi elliptic functions and thus are periodic but generally non-harmonic. The parameter of the elliptic functions is deliberately chosen. For certain parameter choices, exact analytical expressions are found for the frequency–amplitude relation.en0020-74622016197206Elsevier ScienceExact analytical frequency–amplitude relationJacobi elliptic functionsNon-harmonic periodic loadingNonlinear oscillatorArchitekturJournal Article10.1016/j.ijnonlinmec.2016.06.008Other