Parametrically excited systems appear in many fields of science and technology, intrinsically or imposed purposefully; e.g. spatially periodic structures represent an important class of such systems . When the parametric excitation can be considered weak, classical asymptotic methods like the method of averaging  or multiple scales  can be applied. However, with many practically important applications this simplification is inadequate, e.g. with spatially periodic structures it restricts the possibility to affect their effective dynamic properties by a structural parameter modulation of considerable magnitude. Approximate methods based on Floquet theory  for analyzing problems involving parametric excitation, e.g. the classical Hill’s method of infinite determinants [3,4], can be employed also in cases of strong excitation; however, with Floquet theory being applicable only for linear systems, this is impossible or rather cumbersome for combined parametric and direct excitation, or with nonlinearity.
|Title of host publication||Proceedings of the IUTAM Symposium on Analytical Methods in Nonlinear Dynamics|
|Number of pages||2|
|Publication status||Published - 2015|
|Event|| IUTAM Symposium on Analytical Methods in Nonlinear Dynamics - Frankfurt, Germany|
Duration: 6 Jul 2015 → 9 Jul 2015
|Conference||IUTAM Symposium on Analytical Methods in Nonlinear Dynamics|
|Period||06/07/2015 → 09/07/2015|