Nonlinear Sonic Fatigue Response Prediction from Finite Element Modal Models: A Comparison with Experiments

Nonlinear Reduced Order Random Response Analysis of Structures with Shallow Curvature

“…The first was earlier experience with symmetric planar structures under symmetric transverse loadings where the initial basis consisted of low frequency bending modes. [7][8][9][10][11][12] For the curved configuration, an analogous basis consisting of transverse component dominated (type T) modes was chosen. Like the earlier experience, the addition of higher frequency inplane dominated modes (type I) was expected to improve the prediction of peak magnitudes and their broadening in a highly nonlinear regime.…”

“…At this point it is also worthwhile to note that the concept of so-called companion 10 or dual 11,12 modes developed for a planar structures is no longer needed nor relevant. These bases were previously introduced to obtain membrane behavior corresponding to bending modes of the flat structure.…”

“…The majority of research performed in the field of reduced order numerical simulation of thin-walled aerospace structures has been primarily focused on isotropic planar configurations. 1,[6][7][8][9][10][11][12] Through comparison with numerical simulation in physical DoFs, the authors recently demonstrated the ability of a reduced order method to accurately predict geometrically nonlinear random displacement and stress response for a planar isotropic structures, provided that a suitable modal basis is utilized. 8 However, most practical aerospace applications involve more complex geometries.…”

Non-linear random response of laminated composite shallow shells using finite element modal method

“…The particular benefit of this approach is that almost any commercial finite element package may be employed with some additional coding. Hollkamp et al [10] have recently verified that the two finite element modal methods [7][8][9] and the experiments gave excellent agreement in non-linear maximum strain in terms of power spectral density (PSD) function.…”

Nonlinear Reduced Order Random Response Analysis of Structures with Shallow Curvature

“…At this point it is also worthwhile to note that the concept of so-called companion 10 or dual 11,12 modes developed for a planar structures is no longer needed nor relevant. These bases were previously introduced to obtain membrane behavior corresponding to bending modes of the flat structure.…”