Periodic time-domain analysis based on approximation by splines and harmonic balance
AbstractA periodic solution of non-linear system represented by cubic spline may be expressed by a finite harmonic row exactly representing nodes of the spline. The differentiation operation on this row is replaced by multiplication by special matrix. New representation of a periodic solution allowing direct differentiation is proposed.
Authors retain copyright and grant the journal the right of the first publication with the paper simultaneously licensed under the Creative Commons Attribution 4.0 (CC BY 4.0) licence.
Authors are allowed to enter into separate, additional contractual arrangements for the non-exclusive distribution of the paper published in the journal with an acknowledgement of the initial publication in the journal.
Copyright terms are indicated in the Republic of Lithuania Law on Copyright and Related Rights, Articles 4-37.