On the use of an efficient wave based method for steady-state structural dynamic analysis

The Finite Element Method is the most commonly used prediction technique for dynamic simulations of mechanical structures. Given the increasing model sizes and subsequent increasing computational load for increasing frequency, the use of the Finite Element Method (FEM) is limited to low-frequency applications. The Wave Based Method (WBM) is a novel Trefftz-based deterministic prediction technique that is capable of relaxing the existing frequency limit. This paper gives an overview of the principles of the WBM for the steady-state dynamic analysis of structures. First the flat plate bending and membrane behaviour are described. Subsequently, the theory for these two problems is united to handle non-coplanar flat plate assemblies. Finally, a hybrid FE-WBM is shown, which combines the strengths of the FEM and the WBM. Throughout the paper the performance of the WBM is compared with that of the FEM, which demonstrates the enhanced computational efficiency of the WBM.status: publishe