Development of fast structural dynamic FE analysis using Krylov subspace model order reduction (KS-MOR) / Norliyati Mohd Amin and Anizahyati Alisibramulisi

A model order reduction has been utilized as a booster of FE analysis by using orthogonal basis vectors of the Krylov subspace. Krylov Subspace Model Order Reduction (KS-MOR) is one of projection based reduction method for spatially discretized time differential equation. The advantage of this method is it does not require solving eigenvalue problems but will retain to its original system. This research present a treatment of KS-MOR incorporating with finite element (FE) method for structure dynamic analysis subjected to the uncertainty of earthquake. In the numerical investigation, a 3D bridge model with different bearing system was solved to show performance of KS-MOR. One of the bearing system is classical steel hinge bearing hinge, the other is steel laminated rubber bearing.The efficiency in the CPU time is about 20-30 times faster than the conventional FEM. Application of KS-MOR to simulate large scale 3D model is a new invention in the area of computational mechanics.