A new modeling method, referred to as the Finite SubstructurE Method (FSEM), is described for the dynamic analyses of, for example, 2-D frame structures. In this method, while a structure is divided into a finite number of substructures naturally according to its physical composition as in an SEA model, its dynamic characteristics and responses are actually determined in a way similar to the FEA methods. However, a displacement field on each substructure is analytically expressed as an improved Fourier series expansion, rather than the discretized (or averaged) form as in an FEA (or SEA) model. Such a model provides a great balance between the size of the system and the resolution of the solution. This methodology is potentially more suitable for the mid-frequency problems because it has effectively combined the advantages of both the FEA and SEA methods. Numerical results are presented for the dynamic analysis of two simple 2-D frame structures.
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