Identification of Coupled Dynamics in Plate by Processing the Free Dynamics Using the Proper Orthogonal Decomposition
Mechanical structures are composed of combinations of different structural elements, such as beams, rods,
flexible plates, disks etc. The nonlinear behavior of shells and plates is one of the challenges that the researches need to face.
The FE methods are highly involved in the analysis of generic shells. They are effective in analyzing arbitrary geometries
composed of linear, composite, or nonlinear materials. However, FE produces the discrete dynamics in the form of
numerical databases that some information are hidden in. Based on that it is necessary to develop methodologies capable to
process the FE discrete results and obtain -if possible- the structure properties.
Here the POD transform will be applied to process the discrete dynamics of plate structures. Using the POD transform,
numerical simulations of free motions of rectangular plates will be viewed in terms of POD modes. It will be examined
whether the POD modes have any relations with the Normal modes of vibration (natural frequencies and shapes).
Keywords— Shells and Plates, Coupled Dynamics, Nonlinear Dynamics, Proper Orthogonal Decomposition.