An optimization-assisted reduced order model for dynamics of plates using isogeometric analysis

This article first introduces a novel optimization-driven reduced order model (ROM) to the dynamics of plates utilizing isogeometric analysis (IGA). The proposed paradigm uses an iterated improved reduced system (IIRS) technique to condense the system's dynamic properties. This model takes account of inertia items, the consistent mass matrix is therefore preserved. Moreover, master degrees of freedom (DOFs) defined at control points of the IGA in ROM are optimized via the derivative-free adaptive hybrid evolutionary firefly algorithm (AHEFA). Accordingly, the accuracy and the correlation of high-order shape modes can be improved. The Galerkin discretization is employed to establish the IGA-based ROM for the plate's dynamic analysis with proportional damping. In which, its weak form relied upon a generalized shear deformation theory (GSDT) is derived from the Hamilton's principle. Consequently, the reduced IGA can deal with both thick and thin plates without shear correction coefficients and the shear locking phenomenon. The Newmark-β method is then employed to achieve time–history responses of the reduced dynamic equation system. Several numerical examples are tested to illustrate the reliability and efficiency of the present methodology. Obtained outcomes have shown their useful and potential applications to the structural health monitoring (SHM) field, especially when the number of sensors is limited.