In this study, the methods for combining statistical energy analysis (SEA) and the finite element method (FEM) for the vibration analysis of structures are studied. Using the two methods simultaneously isnt entirely extend a primarily low frequency method, the finite element method, and high frequency method, SEA, to the mid frequency region are addressed. This approach is intended to extend the frequency range for a FEM based vibration analysis . A new finite element elementl for elevated slab ballastless track is proposed in which the new model can be used for modeling the track structural constituents of elevated slab ballastless track. Using finite element method and Hamilton theory, the coupled equation of vehicle-track-bridge can be established. In calculating example, both the rail displacement induced by single four-layer beam model. Specifically, it showed that the method yields very good result and high performance in the numerical example of previous research.

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A continuum theoretical model for describing curling behavior of free-standing nanofilms was given in this paper. Surface stress, surface elasticity (surface Young’s modulus), surface slice thickness and anisotropic deformation were considered. For a nanofilm with only several nanometers, curling behavior is apt to be more common than isotropic bending behavior. The curling behavior is an anisotropic problem and is different from isotropic bending behavior as Stoney formula interprets. The isotropic bending behavior makes nanofilm to become a ball-like object while curling behavior makes nanofilm to become a tube-like object. If surface elasticity is imbalance, surface stress sum will bend nanofilms and surface stress difference expands nanofilms. The balance surface elasticity and surface stress induces isotropic elongation deformation despite the anisotropic shape of nanotubes. If surface elasticity is imbalance, the anisotropic elongation deformation in tangential and cylindrical directions appears.

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