Nonlinear reduced order modeling of isotropic and functionally graded plates

The focus of this investigation is on the development and validation of non-linear structural dynamic reduced order models of structures undergoing large deformations, with particular emphasis on aircraft panels. Significant efforts are devoted to the formulation and assessment of “dual modes” which when combined with the linear transverse modes form an excellent basis for the representation of the displacement and stress fields in the reduced order model. This task is first successfully achieved for isotropic/symmetric composite structures and then extended to asymmetric and functionally graded ones. Examples of application are presented that demonstrate the high accuracy of the proposed reduced order models as compared to full finite element preditions, even with a small number of modes.

► The form of the reduced order model equations is derived from finite deformation elasticity in total Lagrangian. ► Reduced order models, extracted from finite element models, are applicable to complex structures/boundary conditions. ► “Dual modes” complement linear modes for the representation of the non-linear static/dynamic response. ► “Dual modes” are extracted from non-linear static solutions. ► Validation cases are presented to demonstrate the accuracy of predicted displacements and stresses.